Today, a sub was in class.
There will be a test in each hour next week Thrusday, October 29, 2009. There will be a notebook check on Friday, October 30, 2009.
In Advanced Algebra, the test will cover Relations/Functions, Linear Equations, Slopes of Linear Equations, and Writing Linear Equations.
In Algebra, the test will cover Solving Equations by Addition (and subtraction), Solving Equations by Multiplication (and division), Multi-Step Equations, and Solving Equations on Both Sides.
In Geometry, the test will cover Inductive Reasoning and Conjecturing (Drawing Conclusions), If/Then Statements, Deductive Reasoning, Using Proof in Algebra, and Verifying Segment and Angle Relationships.
I will have review sheets on Tuesday.
Be Safe...Mr. Taylor
Friday, October 23, 2009
Tuesday, October 20, 2009
It's Tuesday of Spirit Week!
Hi, Everyone.
Today was Twin Day. Tomorrow is Wacky Wednesday.
In Advanced Algebra we wrapped up our discussion of solving word problems and linear equations in the slope intercept form, y = mx + b. We shall continue our discussion of slopes of linear functions.
Today was Twin Day. Tomorrow is Wacky Wednesday.
In Advanced Algebra we wrapped up our discussion of solving word problems and linear equations in the slope intercept form, y = mx + b. We shall continue our discussion of slopes of linear functions.
m = (y2 - y1)/(x2 - x1)
Linear functions have positive, negative or zero slopes. Vertical lines have an undefined slope. Slopes of two lines can be parallel, non parallel or perpendicular. Perpendicular slopes are slopes of two different lines in which the slopes are opposite reciprocals of one another. For example, 5 and -1/5.
In Algebra, we began talking about Multi Step Linear Equations. For example:
Linear functions have positive, negative or zero slopes. Vertical lines have an undefined slope. Slopes of two lines can be parallel, non parallel or perpendicular. Perpendicular slopes are slopes of two different lines in which the slopes are opposite reciprocals of one another. For example, 5 and -1/5.
In Algebra, we began talking about Multi Step Linear Equations. For example:
5x - 6 = 14
5x -6 + 6 = 14 + 6
5x + 0 = 20
(1/5) 5x = 20 (1/5)
x = 4
In Geometry, we are proving segment and angle relationships. I will put up a proof tomorrow.
Not much homework due to Homecoming Week.
Be Safe, Mr. Taylor.
Tuesday, October 13, 2009
Advanced Algebra
Hi, Gang!
Here is the homework:
Lesson 10: On a bike
George rode his bike from the basketball court at a speed of 5 feet per second.
1. Fill in the table below giving George's distance from the court after each second. Continue for 12 seconds.
Time (in seconds) : 0 1 2 ......
Distance (in feet) : ................
2. How far is George from the court after 4 seconds? After 4.5 seconds?
3. When is George 15 feet from the court? When is he 17.5 feet from the court?
4. Write an equation for George's distance from the court as a function of time. Use y for his distance in feet and x for the number of seconds elapsed.
5. What do you think the graph will look like? Draw a sketch.
6. Graph the table values yopu found in Question 1. (Scale your axes.) This should match the graph of the equation. Was your sketch right?
7. In terms of George's bike ride, what does the slope represent?
8. In terms of George's bike ride, what would an increase in the y-intercept mean? How about a gentler slope?
Remember to at least try these problems, show some work!
Mr. Taylor-Be Safe!
Here is the homework:
Lesson 10: On a bike
George rode his bike from the basketball court at a speed of 5 feet per second.
1. Fill in the table below giving George's distance from the court after each second. Continue for 12 seconds.
Time (in seconds) : 0 1 2 ......
Distance (in feet) : ................
2. How far is George from the court after 4 seconds? After 4.5 seconds?
3. When is George 15 feet from the court? When is he 17.5 feet from the court?
4. Write an equation for George's distance from the court as a function of time. Use y for his distance in feet and x for the number of seconds elapsed.
5. What do you think the graph will look like? Draw a sketch.
6. Graph the table values yopu found in Question 1. (Scale your axes.) This should match the graph of the equation. Was your sketch right?
7. In terms of George's bike ride, what does the slope represent?
8. In terms of George's bike ride, what would an increase in the y-intercept mean? How about a gentler slope?
Remember to at least try these problems, show some work!
Mr. Taylor-Be Safe!
Sunday, October 11, 2009
Some Sample Problems!
I couldn't find any appropiate videos yet!
But here are some sample problems for each class. This is what we will concentrating on this week and of course word problems.
Advanced Algebra Sample Problem:
Using the standard form of linear equations, Ax + By = C, it is easy to find x and y intercepts. It is important to remember that A and B must be integers and not zeroes.
For instance - x intercept: 5x - 6y = 30. Let y be zero. So 5x - 6(0) = 30.
That is, 5x = 30. So, x = 6. The x intercept is (6,0).
For instance - y intercept: 5x - 6y = 30. Let x be zero. So 5(0) - 6y = 30.
That is, -6y = 30. So, y = -5. The y intercept is (0,-5).
To find slope, solve the equation for y, into y = mx + b (slope intercept form).
So, 5x - 6y = 30
5x - 5x - 6y = 30 - 5x
- 6y = 30 - 5x
y = -5 + (5/6)x
The slope of the line is (5/6).
What is the slope of 7x + 6y = 84?
Algebra Sample Problem:
Solving Equations involves finding the missing number to make the statement true.
For instance, x + 2 = 4. To solve this problem remember that the additive inverse of a number is the opposite of the number. The additive inverse of 5 is -5. When you add opposites, you get zero.
So, x + 2 = 4.
Then, x + 2 + (-2) = 4 + (-2)
Then, x + 0 = 2
Then, x = 2.
It’s all a balancing act.
Geometry Sample Problem:
Statement: The Governor of Michigan is Jennifer Granholm.
Conditional: If a person is governor of Michigan, then that person is Jennifer Granholm.
Converse: If there is a person called Jennifer Granholm, then that person is governor of Michigan.
Inverse: If a person is not governor of Michigan, then the person is not Jennifer Granholm.
Contrapositive: If there is not a person called Jennifer Granholm, then that person is not governor of Michigan.
Create the four conditional statements for:
1) Detroit is a city in Michigan. 2) Perpendicular lines make four right angles.
But here are some sample problems for each class. This is what we will concentrating on this week and of course word problems.
Advanced Algebra Sample Problem:
Using the standard form of linear equations, Ax + By = C, it is easy to find x and y intercepts. It is important to remember that A and B must be integers and not zeroes.
For instance - x intercept: 5x - 6y = 30. Let y be zero. So 5x - 6(0) = 30.
That is, 5x = 30. So, x = 6. The x intercept is (6,0).
For instance - y intercept: 5x - 6y = 30. Let x be zero. So 5(0) - 6y = 30.
That is, -6y = 30. So, y = -5. The y intercept is (0,-5).
To find slope, solve the equation for y, into y = mx + b (slope intercept form).
So, 5x - 6y = 30
5x - 5x - 6y = 30 - 5x
- 6y = 30 - 5x
y = -5 + (5/6)x
The slope of the line is (5/6).
What is the slope of 7x + 6y = 84?
Algebra Sample Problem:
Solving Equations involves finding the missing number to make the statement true.
For instance, x + 2 = 4. To solve this problem remember that the additive inverse of a number is the opposite of the number. The additive inverse of 5 is -5. When you add opposites, you get zero.
So, x + 2 = 4.
Then, x + 2 + (-2) = 4 + (-2)
Then, x + 0 = 2
Then, x = 2.
It’s all a balancing act.
Geometry Sample Problem:
Statement: The Governor of Michigan is Jennifer Granholm.
Conditional: If a person is governor of Michigan, then that person is Jennifer Granholm.
Converse: If there is a person called Jennifer Granholm, then that person is governor of Michigan.
Inverse: If a person is not governor of Michigan, then the person is not Jennifer Granholm.
Contrapositive: If there is not a person called Jennifer Granholm, then that person is not governor of Michigan.
Create the four conditional statements for:
1) Detroit is a city in Michigan. 2) Perpendicular lines make four right angles.
Friday, October 9, 2009
It's the weekend! Two weeks left 'til HOMECOMING!
Hi, Everyone.
In Advanced Algebra, we are learning about linear equations in Standard Form. This form works best in solving for x & y intercepts, manually. On Monday, we will use the graphing calculator. For 1st hour, the homework is pg.77 #6-10,18-27. For 6th hour, the homework is pg.76-77 #8-10,22-27. We will continue with that and finding the slope of a line next week. There will be a regular quiz on Monday.
In Algebra, due to a 9th grade meeting, the retake test is Monday. On Tuesday, we will begin solving linear equations.
In Geometry, we are continuing our discussion of conditional statements. The homework over the weekend will be pg. 81 #19-30. Next week, we will discuss the four conditional statements: conditional, inverse, converse, and contrapositive. There will be a regular group quiz on Monday.
This weekend I will put up sample problems for each class. Maybe some vids, if I can find some.
Enjoy the weekend! Mr. Taylor
In Advanced Algebra, we are learning about linear equations in Standard Form. This form works best in solving for x & y intercepts, manually. On Monday, we will use the graphing calculator. For 1st hour, the homework is pg.77 #6-10,18-27. For 6th hour, the homework is pg.76-77 #8-10,22-27. We will continue with that and finding the slope of a line next week. There will be a regular quiz on Monday.
In Algebra, due to a 9th grade meeting, the retake test is Monday. On Tuesday, we will begin solving linear equations.
In Geometry, we are continuing our discussion of conditional statements. The homework over the weekend will be pg. 81 #19-30. Next week, we will discuss the four conditional statements: conditional, inverse, converse, and contrapositive. There will be a regular group quiz on Monday.
This weekend I will put up sample problems for each class. Maybe some vids, if I can find some.
Enjoy the weekend! Mr. Taylor
Wednesday, October 7, 2009
It's Post Mosaic Day!
This week in Mathematics....
In Advanced Algebra, we are discussing Relations and Functions. We are exploring domain and range with the graphing calculator. Today we will look at the differences between relations and functions more.
In Algebra, we are discussing square roots and reviewing for the retake of last week's test. Here is the review:
Know who to do the following....
1) There will be several questions regarding the real numbers; can you give examples of them?
2) There will be several questiosn regarding the comparison of numbers; what number is greater/less than the other? Which ways can you compare two fractions?
3) There will be several questions regarding the addition of real numbers; subtraction is addition of the opposite.
4) There will be several questions regarding the multiplication of real numbers; division is multiplication of the reciprocal.
5) There will be several order of operation problems; PEMDAS.
6) There will be several real number property problems; can you give examples of the properties.
7) There will be several distributive property problems. Can you distribute and add like terms?
The retake is Friday.
In Geometry, we are talking about "Drawing Conclusions". What conjectures can be made based on given information. Given a conjecture, can you determine if it is true or false? If false... with a counterexample?
For instance...
1)Billy has attended school for seven hours and ate two large meals. Billy went to football practice for two hours and ate one large sub sandwich. Billy drove home on the freeway for 65 minutes, while drinking coffee. Ten hours later, Billy wakes up in the hospital. What could have happened to Billy?
2) Given:Segments AS and SD are congruent. Conjecture:S is the midpoint of AD.
See you soon, Mr. T.
In Advanced Algebra, we are discussing Relations and Functions. We are exploring domain and range with the graphing calculator. Today we will look at the differences between relations and functions more.
In Algebra, we are discussing square roots and reviewing for the retake of last week's test. Here is the review:
Know who to do the following....
1) There will be several questions regarding the real numbers; can you give examples of them?
2) There will be several questiosn regarding the comparison of numbers; what number is greater/less than the other? Which ways can you compare two fractions?
3) There will be several questions regarding the addition of real numbers; subtraction is addition of the opposite.
4) There will be several questions regarding the multiplication of real numbers; division is multiplication of the reciprocal.
5) There will be several order of operation problems; PEMDAS.
6) There will be several real number property problems; can you give examples of the properties.
7) There will be several distributive property problems. Can you distribute and add like terms?
The retake is Friday.
In Geometry, we are talking about "Drawing Conclusions". What conjectures can be made based on given information. Given a conjecture, can you determine if it is true or false? If false... with a counterexample?
For instance...
1)Billy has attended school for seven hours and ate two large meals. Billy went to football practice for two hours and ate one large sub sandwich. Billy drove home on the freeway for 65 minutes, while drinking coffee. Ten hours later, Billy wakes up in the hospital. What could have happened to Billy?
2) Given:Segments AS and SD are congruent. Conjecture:S is the midpoint of AD.
See you soon, Mr. T.
Saturday, October 3, 2009
By Popluar Demand!
Here is the answer key.
Answer Key for Review of Advanced Algebra Chapter 1 Test
1. Rational and Irrational
2. Look in the text
3. Additive Inverses { -3, -.66, -(2/5), 9}
Multiplicative Inverses {(1/3), (100/66), (5/2), (-1/9)}
4. 85, 6
5. The principle is $3333.33.
6. The length is 175 feet. The width is 25 feet.
7. a) (-1/9) b) (354/7)
8. a) 4(h -17) b) (g^2 + h^3)/4 c) 100 = 4 + 6p d) 35 > y + .5
9. j = (-6/5)
10. g = (-44/29)
11. 1 > k
12. r > -5
13. q = {(-16/3), 4}
14. w = { no solution}
15. -4 < r < 3
16. -6 > t or 18 < t
Answer Key for Review of Advanced Algebra Chapter 1 Test
1. Rational and Irrational
2. Look in the text
3. Additive Inverses { -3, -.66, -(2/5), 9}
Multiplicative Inverses {(1/3), (100/66), (5/2), (-1/9)}
4. 85, 6
5. The principle is $3333.33.
6. The length is 175 feet. The width is 25 feet.
7. a) (-1/9) b) (354/7)
8. a) 4(h -17) b) (g^2 + h^3)/4 c) 100 = 4 + 6p d) 35 > y + .5
9. j = (-6/5)
10. g = (-44/29)
11. 1 > k
12. r > -5
13. q = {(-16/3), 4}
14. w = { no solution}
15. -4 < r < 3
16. -6 > t or 18 < t
By popular demand!
Here is the review sheet. I apologize the computer program wouldn't copy it like I wanted.
Review for Advanced Algebra Chapter 1 Test
A. Real Numbers
1. List the two types of real numbers.
2. Give specific examples of whole numbers, natural numbers, and integers.
3. List the additive inverse and multiplicative inverse for each number:
B. Order of Operations
4. Evaluate the following: (4[5-3^2(6+4)])/(4-8)
((9+3)/(6^2-30))- (10(3-4)-6)
[ ] are absolute value.
C. Word Problem
5. Mr. Green has earned $500 after investing a certain amount into an investment company. The company gained this amount after 18 months at a rate of 10%. How much did Mr. Green invest?
6. The perimeter of the new CHS rectangular pool is 400 feet. If the pool’s length is 7 more than the width, what is the length and width of the pool?
D. Expressions
7. If a = 2, b = 5, and c = -3, then what is the following:
a) (ab + 4c)/ac^2
b) 12 + abc((20-a)/(bc + 1))
8. Translate into an algebraic expression:
a) four times the quantity of a number minus 17
b) the square of a number plus the cube of another number, all divided by four
c) 100 is four more than 6 times a number
d) 35 is greater than a number plus one half.
E. Solving Equations
9. 10 - 4j = 22 + 6j
10. .5 +8g = .75g - 5
F. Solving Inequalities
11. 12 > 3k + 9
12. 6r < 10r + 20
G. Solving Absolute Value Equations
13. [2+3q] + 9 = 23
14. 3 - [5w + 4] = 10
H. Solving Absolute Value Inequalities
15. [2 + 4r] < 14
16. 36 < [3f -18]
Review for Advanced Algebra Chapter 1 Test
A. Real Numbers
1. List the two types of real numbers.
2. Give specific examples of whole numbers, natural numbers, and integers.
3. List the additive inverse and multiplicative inverse for each number:
B. Order of Operations
4. Evaluate the following: (4[5-3^2(6+4)])/(4-8)
((9+3)/(6^2-30))- (10(3-4)-6)
[ ] are absolute value.
C. Word Problem
5. Mr. Green has earned $500 after investing a certain amount into an investment company. The company gained this amount after 18 months at a rate of 10%. How much did Mr. Green invest?
6. The perimeter of the new CHS rectangular pool is 400 feet. If the pool’s length is 7 more than the width, what is the length and width of the pool?
D. Expressions
7. If a = 2, b = 5, and c = -3, then what is the following:
a) (ab + 4c)/ac^2
b) 12 + abc((20-a)/(bc + 1))
8. Translate into an algebraic expression:
a) four times the quantity of a number minus 17
b) the square of a number plus the cube of another number, all divided by four
c) 100 is four more than 6 times a number
d) 35 is greater than a number plus one half.
E. Solving Equations
9. 10 - 4j = 22 + 6j
10. .5 +8g = .75g - 5
F. Solving Inequalities
11. 12 > 3k + 9
12. 6r < 10r + 20
G. Solving Absolute Value Equations
13. [2+3q] + 9 = 23
14. 3 - [5w + 4] = 10
H. Solving Absolute Value Inequalities
15. [2 + 4r] < 14
16. 36 < [3f -18]
Thursday, October 1, 2009
It's Friday Eve. Tomorrow and Monday is Test Day.
In Advanced Algebra, we are in the final stretch of preparing for our CH Test Exam on Monday. Tomorrow we will play Jeopardy - the questions will come from the Chapter One Review Test. The following is due tomorrow pg. 56-57 #13-28, 33-60. The test will cover Real Numbers, Order of Operations, Evaluating Expressions, Solving Equations and Inequalities, and
Absolute Value Equations and Inequalities.
Tomorrow I will place a review sheet on this blog with the answer key. Work out the problems and check yourself. If you can pass it, you will be ready.
In Algebra, we have reviewed for the CH test on Friday. It will cover real numbers, comparing real numbers, order of operations, adding and mulitiplying real numbers, and the properties of real numbers.
In Geometry, we have reviewed for the CH 1 test. It is in two parts: part one is from 1-1 to 1-4 on Friday, part two is from 1-5 to 1-6/1-7 on Monday. It has been suggested to bring the Definition Sheet to the test. IT WILL BE USEFUL!
Absolute Value Equations and Inequalities.
Tomorrow I will place a review sheet on this blog with the answer key. Work out the problems and check yourself. If you can pass it, you will be ready.
In Algebra, we have reviewed for the CH test on Friday. It will cover real numbers, comparing real numbers, order of operations, adding and mulitiplying real numbers, and the properties of real numbers.
In Geometry, we have reviewed for the CH 1 test. It is in two parts: part one is from 1-1 to 1-4 on Friday, part two is from 1-5 to 1-6/1-7 on Monday. It has been suggested to bring the Definition Sheet to the test. IT WILL BE USEFUL!
Monday, September 28, 2009
It's A Brand New Week-Week of Progress!
Hi, everyone.
This week is review week. Advanced Algebra & Geometry test is pushed back to October 5, 2009. Algebra 1 test is October 2, 2009. Everyone should start studying, do not procrastinate!
The homework for Advanced Algebra this week is pg. 56-57 #13-28, 33-40, 45-60. It is due Friday. We continued are discussion of Solving Inequalities. Tomorrow we'll discuss solving absolute value inequalities.
In Algebra, we discussed the Distributive Property. We will continue that discussion tomorrow with combining like terms through this property.
In Geometry, we began a discussion of Exploring Angles, after retaking the quiz in a group setting. In the lab, we did the same thing.
There is more to come.
Be Safe! -Mr. Taylor
This week is review week. Advanced Algebra & Geometry test is pushed back to October 5, 2009. Algebra 1 test is October 2, 2009. Everyone should start studying, do not procrastinate!
The homework for Advanced Algebra this week is pg. 56-57 #13-28, 33-40, 45-60. It is due Friday. We continued are discussion of Solving Inequalities. Tomorrow we'll discuss solving absolute value inequalities.
In Algebra, we discussed the Distributive Property. We will continue that discussion tomorrow with combining like terms through this property.
In Geometry, we began a discussion of Exploring Angles, after retaking the quiz in a group setting. In the lab, we did the same thing.
There is more to come.
Be Safe! -Mr. Taylor
Thursday, September 24, 2009
Here are some examples!
Order of Operations
Go to: http://www.youtube.com/watch?v=pEz_Wn35098
Solving Equations and Absolute Value
Go to: http://www.youtube.com/watch?v=ZouQdHSyelg
Go to: http://www.youtube.com/watch?v=pEz_Wn35098
Solving Equations and Absolute Value
Go to: http://www.youtube.com/watch?v=ZouQdHSyelg
Friday is tomorrow; Thank You, __________ !
Hi, folks.
It's close to the weekend. Tomorrow is the Homework Quiz in all classes.
In Advanced Algebra, it will cover Solving Equations, Translation of Algebraic Expressions, and Solving Absolute Value Equations. I will post an example of each in an hour. We will wrap up our discussion of Solving Inequalities, but we will use the graphing calculator.
In Algebra, it will cover Order of Operations, Multiplying and Dividing Real Numbers. I will post an example of each in an hour. We will do a quick review of the last three weeks in preparation for the test on October 2, thru Jeopardy.
In Geometry, it will cover Measuring Segments, Distance Formula, and Midpoint of Segments. We will practice drawing angles with the protractor and compass.
In Geometry Lab, we will do an exercise in the lab practicing angle bisecting.
See you in an hour or two, Grey's Anatomy is coming on.
-A. Taylor
It's close to the weekend. Tomorrow is the Homework Quiz in all classes.
In Advanced Algebra, it will cover Solving Equations, Translation of Algebraic Expressions, and Solving Absolute Value Equations. I will post an example of each in an hour. We will wrap up our discussion of Solving Inequalities, but we will use the graphing calculator.
In Algebra, it will cover Order of Operations, Multiplying and Dividing Real Numbers. I will post an example of each in an hour. We will do a quick review of the last three weeks in preparation for the test on October 2, thru Jeopardy.
In Geometry, it will cover Measuring Segments, Distance Formula, and Midpoint of Segments. We will practice drawing angles with the protractor and compass.
In Geometry Lab, we will do an exercise in the lab practicing angle bisecting.
See you in an hour or two, Grey's Anatomy is coming on.
-A. Taylor
Tuesday, September 22, 2009
It's Tuesday. Here is the week's lesson.
This week we are covering many topics.
In Advanced Algebra, we are reviewing Solving Equations and Absolute Value Equations. The homework thus far is-a Kuta Software Sheet on Solving Linear Equations and a Kuta Software Sheet on Solving Absolute Value Equations.
In Algebra, we are reviewing Multiplying and Dividing Real Numbers. The homework thus far is a worksheet on multiplying numbers.
In Geometry, we are discussing measuring segments and midpoints of segments. The homework thus far is a worksheet on midpoints.
There is an exam in all class on October 2, 2009-in addition to a notebook check.
See ya, Mr. Taylor.
In Advanced Algebra, we are reviewing Solving Equations and Absolute Value Equations. The homework thus far is-a Kuta Software Sheet on Solving Linear Equations and a Kuta Software Sheet on Solving Absolute Value Equations.
In Algebra, we are reviewing Multiplying and Dividing Real Numbers. The homework thus far is a worksheet on multiplying numbers.
In Geometry, we are discussing measuring segments and midpoints of segments. The homework thus far is a worksheet on midpoints.
There is an exam in all class on October 2, 2009-in addition to a notebook check.
See ya, Mr. Taylor.
Wednesday, September 16, 2009
Thursday has arrived; I behind :)
So, this week is crazy. We are covering some simple things.
In Advanced Algebra, we are covering Order of Operations, Expressions and Formulas, Word Problems, and Solving Linear Equations. On Monday the homework covered Order of Operations on pg. 11 #30-41. On Tuesday the sub gave a work sheet on Order of Operations and Expressions. On Wednesday the homework covered word problems. Tomorrow we will review the week events and move into solving equations.
In Geometry, we are covering how to draw figures with planes, lines, and points; also we are discussing segement postulates, pythagorean theorem, and distance formula. On Monday we continued are discussion on drawing figures. On Tuesday the sub had an assignment to practice Monday's work: pg. 17 #43-56. On Wednesday we moved on to segment postulates: the ruler postulate-The points on any line can be paired with real numbers so that, given any two points P and Q on the line, P corresponds to zero, and Q corresponds to a positive number. Google it!
In Algebra, we are covering comparing rational numbers and adding/multiplying them. The worksheets for classwork and homework will be put online tomorrow.
The homework quiz is coming up soon (like Friday). Get ready for it.
Bye, Mr. Taylor.
In Advanced Algebra, we are covering Order of Operations, Expressions and Formulas, Word Problems, and Solving Linear Equations. On Monday the homework covered Order of Operations on pg. 11 #30-41. On Tuesday the sub gave a work sheet on Order of Operations and Expressions. On Wednesday the homework covered word problems. Tomorrow we will review the week events and move into solving equations.
In Geometry, we are covering how to draw figures with planes, lines, and points; also we are discussing segement postulates, pythagorean theorem, and distance formula. On Monday we continued are discussion on drawing figures. On Tuesday the sub had an assignment to practice Monday's work: pg. 17 #43-56. On Wednesday we moved on to segment postulates: the ruler postulate-The points on any line can be paired with real numbers so that, given any two points P and Q on the line, P corresponds to zero, and Q corresponds to a positive number. Google it!
In Algebra, we are covering comparing rational numbers and adding/multiplying them. The worksheets for classwork and homework will be put online tomorrow.
The homework quiz is coming up soon (like Friday). Get ready for it.
Bye, Mr. Taylor.
Sunday, September 13, 2009
Here is some stuff from last week!!
Here is the worksheet from the Geometer Sketchpad Lesson. It can be done by hand!
Geo1.2
More later...
Geo1.2
More later...
Friday, September 11, 2009
The Week Is Over! A lot has happened!
Hello, Everyone.
The first week has been so busy!
On Wednesday, Advanced Algebra worked on 1-2: Properties of Real Numbers. We talked about rational numbers-a number that can be written as a fraction and irrational numbers-a decimal that doesn't repeat or end like e or pi. Also we mentioned, adding integers. The homework was a worksheet.
On Thursday, Advanced Algebra worked on a worksheet concerning real numbers. I will post it online tomorrow.
On Friday, Advanced Algebra took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Wednesday, Algebra worked on 2-1: Integers and Number Line. We talked about rational numbers-a number that can be written as a fraction and irrational numbers-a decimal that doesn't repeat or end like e or pi. Also we mentioned, adding integers.
On Thursday, Algebra took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Friday, Algebra discussed 2-1 and moved to 2-4: Rational Numbers. We discuss the comparison of fractions and decimals. I will post an example of this tomorrow.
On Wednesday, Geometry worked on 1-1: Coordinate Plane. I will post the information that we discussed tomorrow.
On Thursday, Geometry took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Friday, Geometry worked on 1-2: Points, Lines, And Planes. I will post the information tomorrow.
On Wednesday and Friday, Geometry Lab worked on two logic puzzles. These puzzles are designed to engage the student's ability to problem solve.
On Thursday, Geometry Lab used Geometer Sketchpad to explore the program construct various figures. I will post the sheet online tomorrow.
Next week will be a hectic one with Student Congress-Lock In and other such things!
See ya soon!
Mr. Taylor
The first week has been so busy!
On Wednesday, Advanced Algebra worked on 1-2: Properties of Real Numbers. We talked about rational numbers-a number that can be written as a fraction and irrational numbers-a decimal that doesn't repeat or end like e or pi. Also we mentioned, adding integers. The homework was a worksheet.
On Thursday, Advanced Algebra worked on a worksheet concerning real numbers. I will post it online tomorrow.
On Friday, Advanced Algebra took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Wednesday, Algebra worked on 2-1: Integers and Number Line. We talked about rational numbers-a number that can be written as a fraction and irrational numbers-a decimal that doesn't repeat or end like e or pi. Also we mentioned, adding integers.
On Thursday, Algebra took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Friday, Algebra discussed 2-1 and moved to 2-4: Rational Numbers. We discuss the comparison of fractions and decimals. I will post an example of this tomorrow.
On Wednesday, Geometry worked on 1-1: Coordinate Plane. I will post the information that we discussed tomorrow.
On Thursday, Geometry took a pre assessment test on Chapters 1 thru 2; it was just to see what is going on.
On Friday, Geometry worked on 1-2: Points, Lines, And Planes. I will post the information tomorrow.
On Wednesday and Friday, Geometry Lab worked on two logic puzzles. These puzzles are designed to engage the student's ability to problem solve.
On Thursday, Geometry Lab used Geometer Sketchpad to explore the program construct various figures. I will post the sheet online tomorrow.
Next week will be a hectic one with Student Congress-Lock In and other such things!
See ya soon!
Mr. Taylor
Monday, September 7, 2009
First Day Of School !
Hello, everyone. This is my blog for the new school year! Here is where information for the day will be posted after 3:30 pm. Classwork, homework assignments, etc. Videos will be posted as well as websites designed to help you learn the material at home.
Here is the syllabus for all my classes:
CHS ADVA SY2
Enjoy the new year! Remember if you want an A, do the math!
Here is the syllabus for all my classes:
CHS ADVA SY2
Enjoy the new year! Remember if you want an A, do the math!
Sunday, July 19, 2009
The Halfway Mark of Summer
The halfway mark has reared its head. In a little over a month school will be back in session. Homecoming.... The cycle repeats again!
See you soon.
See you soon.
Friday, May 29, 2009
The Seniors have left the building!
This week quite a few things have happened:
In Advanced Algebra, we discussed the last of Chapter 10: Exponents and Logs. Yesterdays homework was pg. 634 #6-10.
As for the Special Project, it is due on Tuesday, June 2, 2009. The next problem is #6: Based on your data (from #1 thru #4) and modeling #5, what would be the half life of "your C-14"? What did you learn from this project? Be detailed.
In Geometry, we discussed Chapter 11. Yesterday, we discussed Euler's Formula: F+V=S whereas S-2=3. There are five platonic solids: tertahedron (fire), octagedron (earth), hexahedron(air), dodecahedron (ether and/or heaven), and icosahedron (water). Today we generated several formulas for the surface area of various solids:
a square pyramid, a cube, a triangluar prism, square prism, cylinder, and hexahedron.
The homework from Thrusday was to do pg, 570 #1-20.
Here is an adjustment to the schedule from Tuesday. Next week we'll wrap up 11-2 and begin reviewing each chapter until the final.
Be safe!
In Advanced Algebra, we discussed the last of Chapter 10: Exponents and Logs. Yesterdays homework was pg. 634 #6-10.
As for the Special Project, it is due on Tuesday, June 2, 2009. The next problem is #6: Based on your data (from #1 thru #4) and modeling #5, what would be the half life of "your C-14"? What did you learn from this project? Be detailed.
In Geometry, we discussed Chapter 11. Yesterday, we discussed Euler's Formula: F+V=S whereas S-2=3. There are five platonic solids: tertahedron (fire), octagedron (earth), hexahedron(air), dodecahedron (ether and/or heaven), and icosahedron (water). Today we generated several formulas for the surface area of various solids:
a square pyramid, a cube, a triangluar prism, square prism, cylinder, and hexahedron.
The homework from Thrusday was to do pg, 570 #1-20.
Here is an adjustment to the schedule from Tuesday. Next week we'll wrap up 11-2 and begin reviewing each chapter until the final.
Be safe!
Tuesday, May 26, 2009
It's Week 38, post-Memorial Day!
Hi, everyone.
In Advanced Algebra, we discussed 10-6: Solving Exponential Equations. We also worked on our special project for fifteen minutes. We will continue to work on it tomorrow after I introduce 10-7: Exponential Growth and Decay. The homework is pg. 629 #13-30.
In Geometry, we reviewed Chapter 10 by playing Math Jeopardy. Questions from the game will be similar to the test questions. Also, today the tessellation project is due. Every other day it is late is five points less.
Be Safe! It is near the end. Please don't lose focus!
In Advanced Algebra, we discussed 10-6: Solving Exponential Equations. We also worked on our special project for fifteen minutes. We will continue to work on it tomorrow after I introduce 10-7: Exponential Growth and Decay. The homework is pg. 629 #13-30.
In Geometry, we reviewed Chapter 10 by playing Math Jeopardy. Questions from the game will be similar to the test questions. Also, today the tessellation project is due. Every other day it is late is five points less.
Be Safe! It is near the end. Please don't lose focus!
Sunday, May 24, 2009
Thursday, May 21, 2009
Next week is around the corner!
Tomorrow, I will put up a calendar for the final few weeks of school.
In Advanced Algebra, we discussed 10-5. The homework is pg. 624 #29-32,34.
In Geometry, we discussed 10-5. The homework is pg. 545 #Exploration: Scientific Calculator-complete the chart.
Be Safe!
In Advanced Algebra, we discussed 10-5. The homework is pg. 624 #29-32,34.
In Geometry, we discussed 10-5. The homework is pg. 545 #Exploration: Scientific Calculator-complete the chart.
Be Safe!
Sunday, May 17, 2009
As promised. Here are some samples for the quiz!
Friday, May 15, 2009
The end is coming. Several Weeks remain!
Hi, everyone.
In Advanced Algebra, we reviewed 10-3: Logs and Their Properties. There was an extra credit assignment that will be placed on-line tomorrow. There will be a quiz on 10-1 thru 10-3. An example of generating an exponential function will also be placed
on-line tomorrow. You will receive the special project on Wednesday.
In Geometry, we discussed 10-4: Area of Rhombi, Triangles, and Trapezoids. An example of each will be placed on-line tomorrow. There will be a quiz on 10-1 thru 10-4. On Thursday you will have a chance to work on the special project.
Be Safe!
In Advanced Algebra, we reviewed 10-3: Logs and Their Properties. There was an extra credit assignment that will be placed on-line tomorrow. There will be a quiz on 10-1 thru 10-3. An example of generating an exponential function will also be placed
on-line tomorrow. You will receive the special project on Wednesday.
In Geometry, we discussed 10-4: Area of Rhombi, Triangles, and Trapezoids. An example of each will be placed on-line tomorrow. There will be a quiz on 10-1 thru 10-4. On Thursday you will have a chance to work on the special project.
Be Safe!
Thursday, May 14, 2009
It's Friday Eve. Homework is due tomorrow!
Hi, everyone.
Today in Advanced Algebra, we discussed 10-3 Logs and Their Properities. That is,
x = log (base b) of y - log (base b) of v is x = log (base b) of (y/v).
Another property is that, x = log (base b) of y + log (base b) of v is x = log (base b) of (y(v)). Another property is that x = log (base b) of b = 1. The other property is that x = log (base b) of b^2 is equivalent to x = 2 log (base b) of b.
The homework is the following pg. 615 #26-34.
Today in Geometry, we discussed 10-3 Area of Parallelograms. That is, the A = L(W) or A = B(H), for any parallelogram. We did an in class assignment on it.
Be Safe.
Today in Advanced Algebra, we discussed 10-3 Logs and Their Properities. That is,
x = log (base b) of y - log (base b) of v is x = log (base b) of (y/v).
Another property is that, x = log (base b) of y + log (base b) of v is x = log (base b) of (y(v)). Another property is that x = log (base b) of b = 1. The other property is that x = log (base b) of b^2 is equivalent to x = 2 log (base b) of b.
The homework is the following pg. 615 #26-34.
Today in Geometry, we discussed 10-3 Area of Parallelograms. That is, the A = L(W) or A = B(H), for any parallelogram. We did an in class assignment on it.
Be Safe.
Wednesday, May 13, 2009
It's Wednesday; so little time, so much to do!
Hi y'all.
In Advanced Algebra, we discussed a new section 10-2: Logs and Log Functions. This lesson follows from exponential functions. That is, y =(b)^x can be translated to
x = log (base b) of y. For example, 9 = 3^2 is also 2 = log (base 3) of 9. Also, we talked about 3^(2x) = 9^(4x-1). It is the same as 3^(2x) = 3^2(4x-1), because 9 = 3^2. This sentence translates into 3^(2x) = 3^(8x-2). Since that have the same base, work with the exponents. 2x = 8x-2. Solve for 'x'. x = (1/3). We mentioned that log (base b) of y - log (base b) of v = log (base b) of (y/v). Tomorrow we will talk about the addition of logs with the same bases. The homework is pg. 608-609 #18-20,31-39.
In Geometry, we discussed the Tessellation (final special project) Project in class. The instructions sheet is self-explanatory.
Tessellations Project
It is due on May 26, 2009. Tomorrow we will tackle Area of Parallelograms. The homework is to work on the template and design of your tessellation.
Be Safe!
In Advanced Algebra, we discussed a new section 10-2: Logs and Log Functions. This lesson follows from exponential functions. That is, y =(b)^x can be translated to
x = log (base b) of y. For example, 9 = 3^2 is also 2 = log (base 3) of 9. Also, we talked about 3^(2x) = 9^(4x-1). It is the same as 3^(2x) = 3^2(4x-1), because 9 = 3^2. This sentence translates into 3^(2x) = 3^(8x-2). Since that have the same base, work with the exponents. 2x = 8x-2. Solve for 'x'. x = (1/3). We mentioned that log (base b) of y - log (base b) of v = log (base b) of (y/v). Tomorrow we will talk about the addition of logs with the same bases. The homework is pg. 608-609 #18-20,31-39.
In Geometry, we discussed the Tessellation (final special project) Project in class. The instructions sheet is self-explanatory.
Tessellations Project
Publish at Scribd or explore others:
It is due on May 26, 2009. Tomorrow we will tackle Area of Parallelograms. The homework is to work on the template and design of your tessellation.
Be Safe!
Monday, May 11, 2009
Week 36! There are 20 teaching days left!
Hi, everyone.
Today everyone started Chapter 10. In Advanced Algebra, we began are exploration of exponential functions, with the lesson titled Mmm...Eminem's M&Ms. Based on situation we will generate a exponential function. The homework is to create a list of values that shows the decline of stores during a recession.
In Geometry, we began are exploration of polygons. We discovered that the equation for interior angle measures of a n-sided polygon is given by the formula:
I = (180(n - 2))/n, for n is the number of sides in a polygon and I is the interior angle measure for the n-sided polygon. We also derived that I + E = 180, where E is the exterior angle measure of the n-sided polygon. These formulas work for a convex polygon. The homework is pg. 519 #22-44.
BE SAFE!
Today everyone started Chapter 10. In Advanced Algebra, we began are exploration of exponential functions, with the lesson titled Mmm...Eminem's M&Ms. Based on situation we will generate a exponential function. The homework is to create a list of values that shows the decline of stores during a recession.
In Geometry, we began are exploration of polygons. We discovered that the equation for interior angle measures of a n-sided polygon is given by the formula:
I = (180(n - 2))/n, for n is the number of sides in a polygon and I is the interior angle measure for the n-sided polygon. We also derived that I + E = 180, where E is the exterior angle measure of the n-sided polygon. These formulas work for a convex polygon. The homework is pg. 519 #22-44.
BE SAFE!
Friday, May 8, 2009
It's The Friday before Mother's Day!
Today in class, every hour took their Chapter 9 Test.
Next week, we will start Chapter 10. In Advanced Algebra, we will start Chapter 10 Exponential and Logarithmic functions. In Geometry, we will start Chapter 10 Polygons.
Be Safe!
Next week, we will start Chapter 10. In Advanced Algebra, we will start Chapter 10 Exponential and Logarithmic functions. In Geometry, we will start Chapter 10 Polygons.
Be Safe!
Thursday, May 7, 2009
21 Teaching Days Remaining!
Hi, everyone.
Tomorrow is test day for Chapter 9 in Advanced Algebra and Geometry. Next Monday we start Chapter 10.
Be Safe!
Tomorrow is test day for Chapter 9 in Advanced Algebra and Geometry. Next Monday we start Chapter 10.
Be Safe!
Wednesday, May 6, 2009
IT'S HUMP DAY, 22 TEACHING DAYS REMAINING!
Today in Advanced Algebra, we discussed 9-6: Solving Rational Equations and Inequalities. Review for the test on Friday (Thursday if you are going to prom).
Today in Geometry, we discussed 9-7: Special Segments. There are two new formulas. I will put them up tomorrow. The homework is pg 495 #15, 16, 18-20. Review for the test on Friday (Thursday if you are going to prom).
Study!
Today in Geometry, we discussed 9-7: Special Segments. There are two new formulas. I will put them up tomorrow. The homework is pg 495 #15, 16, 18-20. Review for the test on Friday (Thursday if you are going to prom).
Study!
Tuesday, May 5, 2009
From Monday to Tuesday...Week 35!
On Monday,
Advanced Algebra discussed 9-4: Adding and Subtracting Rational Expressions. The homework was pg. 573 #18-31.
Geometry discussed 9-6: Secants and Tangents. The homework was to review for the test. 6th HR had a worksheet for homework.
On Tuesday,
Advanced Algebra reviewed 9-4 and started 9-5: Solving Rational Equations. The homework is pg. 582 #22-30.
Geometry reviewed 9-6. In class we did pg. 487 #14-32; and a worksheet for practice.
Tomorrow we move on to 9-7.
Be Safe!
Advanced Algebra discussed 9-4: Adding and Subtracting Rational Expressions. The homework was pg. 573 #18-31.
Geometry discussed 9-6: Secants and Tangents. The homework was to review for the test. 6th HR had a worksheet for homework.
On Tuesday,
Advanced Algebra reviewed 9-4 and started 9-5: Solving Rational Equations. The homework is pg. 582 #22-30.
Geometry reviewed 9-6. In class we did pg. 487 #14-32; and a worksheet for practice.
Tomorrow we move on to 9-7.
Be Safe!
Saturday, May 2, 2009
Advanced Algebra Students
Here is the last journal question:
GAP is selling unisex T-Shirts. The store needs to create a box that fits their needs. The dimensions of the box are as follows: the box is to have square ends, the length of the box is to be 24 inches longer than one side of the square end. The volume of the box is to be 512 cubic inches. Find the correct dimensions of the box.
GAP is selling unisex T-Shirts. The store needs to create a box that fits their needs. The dimensions of the box are as follows: the box is to have square ends, the length of the box is to be 24 inches longer than one side of the square end. The volume of the box is to be 512 cubic inches. Find the correct dimensions of the box.
Friday, May 1, 2009
It's 26 Teaching Days Remaining!
It is a time for urgency. Too many people have developed a bad case of SENIORITIS, and they aren't seniors. Get on the ball and prepare yourselves for what is to come!
In Advanced Algebra, we took a quiz on 9-1 thru 9-3; we also started 9-4: Adding and Subtracting Polynomials. Review this material. The chapter test is on Thrusday for seniors and Friday for non seniors. The homework is to do whatever assignments you got a zero on or a bad grade on. Bring it back by Monday 3:40 pm.
In Geometry, we took did 9-5: pg. 480 #31-36 as classwork. The rest of the hour was devoted to figuring out what assignments needed to be done/redone by Monday 3:40 pm. The chapter test is on Thrusday for seniors and Friday for non seniors.
There will be at least one special project, at most two special project to be done before the close of the card marking.
BE SAFE!
In Advanced Algebra, we took a quiz on 9-1 thru 9-3; we also started 9-4: Adding and Subtracting Polynomials. Review this material. The chapter test is on Thrusday for seniors and Friday for non seniors. The homework is to do whatever assignments you got a zero on or a bad grade on. Bring it back by Monday 3:40 pm.
In Geometry, we took did 9-5: pg. 480 #31-36 as classwork. The rest of the hour was devoted to figuring out what assignments needed to be done/redone by Monday 3:40 pm. The chapter test is on Thrusday for seniors and Friday for non seniors.
There will be at least one special project, at most two special project to be done before the close of the card marking.
BE SAFE!
Thursday, April 30, 2009
It's Week 34. I am back. And there is a sense of urgency!
Hi, Ya'll.
It's time to hit the ground running. There is a lot to talk about so here goes.
On Thursday, April 23, 2009- Advanced Algebra did pg. 897 Lesson 9-1 and 9-2. Geometry did pg. 780 Lesson 9-1 thru 9-4.
On Friday, April 24, 2009-Advanced Algebra did pg. 892-896 Lesson 7-1 thru Lesson 8-8 (omit 7-7). Geometry did pg. 774-779 Lesson 6-1 thru 8-6 every multiple of 3.
On Monday, April 27, 2009-all class took an assessment.
On Tuesday, April 28, 2009-Advanced Algebra did pg. 912 #1-30. Geometry did pg. 793 & 794 (omit the proofs). This assignment was worth at most 10 extra credit points towards the final exam.
On Wednesday, April 29, 2009-Advanced Algebra reviewed 9-2 and discussed 9-3: Multiplying and Dividing Rational Expressions. It is based off of Chapter 5. Geometry reviewed 9-4 and discussed 9-5: Tangents.
Today, Advanced Algebra studied for their quiz tomorrow on 9-1 thru 9-3. Geometry reviewed 9-5: Tangents. The homework that will be due next week is Definition sheets for Chapter 9.
The test for both classes will be on Thursday, May 7, 2009.
BE SAFE!
It's time to hit the ground running. There is a lot to talk about so here goes.
On Thursday, April 23, 2009- Advanced Algebra did pg. 897 Lesson 9-1 and 9-2. Geometry did pg. 780 Lesson 9-1 thru 9-4.
On Friday, April 24, 2009-Advanced Algebra did pg. 892-896 Lesson 7-1 thru Lesson 8-8 (omit 7-7). Geometry did pg. 774-779 Lesson 6-1 thru 8-6 every multiple of 3.
On Monday, April 27, 2009-all class took an assessment.
On Tuesday, April 28, 2009-Advanced Algebra did pg. 912 #1-30. Geometry did pg. 793 & 794 (omit the proofs). This assignment was worth at most 10 extra credit points towards the final exam.
On Wednesday, April 29, 2009-Advanced Algebra reviewed 9-2 and discussed 9-3: Multiplying and Dividing Rational Expressions. It is based off of Chapter 5. Geometry reviewed 9-4 and discussed 9-5: Tangents.
Today, Advanced Algebra studied for their quiz tomorrow on 9-1 thru 9-3. Geometry reviewed 9-5: Tangents. The homework that will be due next week is Definition sheets for Chapter 9.
The test for both classes will be on Thursday, May 7, 2009.
BE SAFE!
Friday, April 24, 2009
The Weekend has BEGUN!
Hi, ya'll.
Today the students did work that helped review for the thrid quarter assessment that will be given on Monday. Advanced Algebra students should review for Chapters 7 and 8. Geometry students should review for Chapters 6,7 and 8.
Be Safe, I will see you on the after Tuesday!
Today the students did work that helped review for the thrid quarter assessment that will be given on Monday. Advanced Algebra students should review for Chapters 7 and 8. Geometry students should review for Chapters 6,7 and 8.
Be Safe, I will see you on the after Tuesday!
Wednesday, April 22, 2009
It's Hump Day.
So, in Advanced Algebra, we discussed 9-2: Direct, Indirect, and Joint Variations. A direct variation looks like the form of y = mx + b (i.e. y = kx). A indirect variation looks like the form of y = 1/x (i.e. y = k/x). A joint variation looks like the form of y = kxz. The difference between a joint variation and a direct variation is that a joint variation involves two or more independent variables. The direct variation involves only one independent variable.
The homework that is due next Wednesday is the following: pg. 559-560 12-28.
So, in Geometry, we discussed 9-4: Inscribed Angles and wrapped up our discussion of 9-3: Arcs and Chords. We mentioned the fact that inscribed angles have their endpoints on a circle. The angle formed is half of the measure of the opposite intercepted arc. The picture below shows this.
Iangles
The homework that is due next Wednesday is the following: pg. 559-560 12-28.
So, in Geometry, we discussed 9-4: Inscribed Angles and wrapped up our discussion of 9-3: Arcs and Chords. We mentioned the fact that inscribed angles have their endpoints on a circle. The angle formed is half of the measure of the opposite intercepted arc. The picture below shows this.
Iangles
Remember to study for the assessment on Monday. If you have any questions contact me via the blog.
Be Safe!
Tuesday, April 21, 2009
It's The Day After Monday :)
In Advanced Algebra, we began our discussion of Chapter 9: Rational Functions. 9-1 involves graphing rational functions. The important things to remember about graphing rational functions are: 1) knowing the vertical asymptotes, 2) knowing the horizontal asymptotes, 3) know the domain of the function, 4) knowing how to graph the function by hand and by graphing calculator, and 5) knowing how to label the graph.
Here is an example:
Graphing Rational Functions
The homework is pg. 554 #13-24.
In Geometry, we continued our discussion of 9-3: Arcs and Chords. The important things to remember our theorems 9-2 and 9-3, which are respectively, [in a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.];[in a circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center.]
The homework is pg. 462 #16-24.
All homework is due tomorrow on Wednesday.Be Safe!
Here is an example:
Graphing Rational Functions
The homework is pg. 554 #13-24.
In Geometry, we continued our discussion of 9-3: Arcs and Chords. The important things to remember our theorems 9-2 and 9-3, which are respectively, [in a circle, if a diameter is perpendicular to a chord, then it bisects the chord and its arc.];[in a circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center.]
The homework is pg. 462 #16-24.
All homework is due tomorrow on Wednesday.Be Safe!
Monday, April 20, 2009
It's The Big Push! Week 32! A few weeks are left before school is out!
Hi, everyone.
We are back in session. Today in Advanced Algebra, we reviewed for the Chapter 8 Test, which will be on Monday. I have recently found out the test will cover Chapters 7 and 8, a standardized test.
Today in Geometry, we began discussing 9-3: Arcs and Chords. We discussed Thm 9-2: a perpendicular diameter that intersects a chord splits the chord in half; Thm 9-3: chords are congruent iff they're equidistant from the center. The homework is pg. 462 #16-24, which will be collected on Wednesday.
Be Safe!
We are back in session. Today in Advanced Algebra, we reviewed for the Chapter 8 Test, which will be on Monday. I have recently found out the test will cover Chapters 7 and 8, a standardized test.
Today in Geometry, we began discussing 9-3: Arcs and Chords. We discussed Thm 9-2: a perpendicular diameter that intersects a chord splits the chord in half; Thm 9-3: chords are congruent iff they're equidistant from the center. The homework is pg. 462 #16-24, which will be collected on Wednesday.
Be Safe!
Thursday, April 9, 2009
It's Spring Break!! Hooray!
Hi, Y'all!
In Advanced Algebra, we took a test. It covered Chapter 8. No homework for the break. When you come back, we will breeze through Chapter 9. Our last Chapter for the year is Chapter 10. Tomorrow I will place the journal question from last week on the blog (I have a scanner at home!).
In Geometry, we reviewed the Chapter 8 Test. I will place a copy of the retake on the blog tomorrow (I have a scanner at home!). When we come back from break, we will start with 9-3. Our last Chapter for the year will be Chapter 11.
Notebook (binder checks) were due today. I was looking for the Chapter 8 Review notes and other such works.
Please be safe during spring break!
In Advanced Algebra, we took a test. It covered Chapter 8. No homework for the break. When you come back, we will breeze through Chapter 9. Our last Chapter for the year is Chapter 10. Tomorrow I will place the journal question from last week on the blog (I have a scanner at home!).
In Geometry, we reviewed the Chapter 8 Test. I will place a copy of the retake on the blog tomorrow (I have a scanner at home!). When we come back from break, we will start with 9-3. Our last Chapter for the year will be Chapter 11.
Notebook (binder checks) were due today. I was looking for the Chapter 8 Review notes and other such works.
Please be safe during spring break!
Wednesday, April 8, 2009
One More Day to Go...Before I Give You a Present!
Hi, everyone.
Today in Advanced Algebra, we reviewed for the Chapter 8 Test. The test will cover
8-1 thru 8-8. Due tomorrow is the binder (notebook check) and homework.
In Geometry, we reviewed 9-1 and 9-2. For assistance go to Glencoe.com, go to the mathematics section for Geometry 2001 edition under chapter 11 Circles, and look at our textbook. There are practice lessons, videos and such that were used during class today related to Circles and Arcs and angels.
BE SAFE, PLEASE!
Today in Advanced Algebra, we reviewed for the Chapter 8 Test. The test will cover
8-1 thru 8-8. Due tomorrow is the binder (notebook check) and homework.
In Geometry, we reviewed 9-1 and 9-2. For assistance go to Glencoe.com, go to the mathematics section for Geometry 2001 edition under chapter 11 Circles, and look at our textbook. There are practice lessons, videos and such that were used during class today related to Circles and Arcs and angels.
BE SAFE, PLEASE!
Tuesday, April 7, 2009
It is a Tuesday. Two days left....
Hi Y'all.
In Advanced Algebra, we discussed Inverse Relations today. We also began studying for the test on Thursday, which is Chapter 8. The homework is review for the test which is pg. 540-541 #10 - 44 even.
In Geometry, we discussed Chapter 9: Arcs and Angels. We derived a formula for arc length. measure of the arc length of AB = (M) (Circumference of the circle containing AB), where M = (the central angle measure/ 360 degrees) and Circumference os C = 2 (pi) r = D (pi). The homework is pg.456 #37-49.
Be Safe!
In Advanced Algebra, we discussed Inverse Relations today. We also began studying for the test on Thursday, which is Chapter 8. The homework is review for the test which is pg. 540-541 #10 - 44 even.
In Geometry, we discussed Chapter 9: Arcs and Angels. We derived a formula for arc length. measure of the arc length of AB = (M) (Circumference of the circle containing AB), where M = (the central angle measure/ 360 degrees) and Circumference os C = 2 (pi) r = D (pi). The homework is pg.456 #37-49.
Be Safe!
Monday, April 6, 2009
It's Week 30! A Seasonal Break Is Coming!
Hi, everyone.
It's the last week before Spring (Easter) Break. A test has passed and a test is coming.
In Advanced Algebra, we discussed 8-8: Inverses Functions and Relations. If the composition of two functions equals x, then the functions are inverses of one another. There are two methods to see if functions are inverses of one another:
1)graph them such that the graphs are reflections over f(x)= x and 2) algebraically compose the functions within one another to obtain x,
that is f(g(x))= x and g(f(x))= x . The homework is pg. 532 #19-24, 31-34.
In Geometry, we discussed a new chapter, 9 - Circles. Today we covered 9-1: Exploring Circles and 9-2: Angles and Arcs. The class drew circles covering the various terms involving circles, seeing the relationship between circumference, diameter, and radius, and saw the relationship between circles, their interior angles and the arcs. The classwork/homework was pg. 456 #19-36.
Later this week, Advanced Algebra will take a test in Chapter 8 (Thursday); Geometry will continue in Chapter 9.
BE SAFE!
It's the last week before Spring (Easter) Break. A test has passed and a test is coming.
In Advanced Algebra, we discussed 8-8: Inverses Functions and Relations. If the composition of two functions equals x, then the functions are inverses of one another. There are two methods to see if functions are inverses of one another:
1)graph them such that the graphs are reflections over f(x)= x and 2) algebraically compose the functions within one another to obtain x,
that is f(g(x))= x and g(f(x))= x . The homework is pg. 532 #19-24, 31-34.
In Geometry, we discussed a new chapter, 9 - Circles. Today we covered 9-1: Exploring Circles and 9-2: Angles and Arcs. The class drew circles covering the various terms involving circles, seeing the relationship between circumference, diameter, and radius, and saw the relationship between circles, their interior angles and the arcs. The classwork/homework was pg. 456 #19-36.
Later this week, Advanced Algebra will take a test in Chapter 8 (Thursday); Geometry will continue in Chapter 9.
BE SAFE!
Friday, April 3, 2009
Apologies...My computer went down again! It's the end of the week.
Hi, Y'all.
It's Friday. Advanced Algebra will take a test next Thursday. Today we covered 8-7: Composition of Functions. The homework is pg. 524 #23-39. On Thursday, we wrapped up 8-6: Solve Polynomials Using Quadratic Techniques. On Wednesday, the homework was pg. 518 #27-35. On Tuesday we finalized 8-5: The Rational Zero Theorem.
In Geometry, we took a test today on Chapter 8. Yesterday, we reviewed for the test. On Wednesday, we wrapped up our discussion on the Laws of Cosines. Next week we start Chapter 9: Circles.
The next notebook check will be
Be Safe!
It's Friday. Advanced Algebra will take a test next Thursday. Today we covered 8-7: Composition of Functions. The homework is pg. 524 #23-39. On Thursday, we wrapped up 8-6: Solve Polynomials Using Quadratic Techniques. On Wednesday, the homework was pg. 518 #27-35. On Tuesday we finalized 8-5: The Rational Zero Theorem.
In Geometry, we took a test today on Chapter 8. Yesterday, we reviewed for the test. On Wednesday, we wrapped up our discussion on the Laws of Cosines. Next week we start Chapter 9: Circles.
The next notebook check will be
Be Safe!
Monday, March 30, 2009
It's Week 29! The Start of the Final Card Marking!
In Advanced Algebra, we discussed the Rational Zero Root Theorem. This theorem only finds rational roots, not irrational roots. The homework asks you to find the possible rational roots to a polynomial function. The homework is pg. 513 #16-21. We will spend another day on it. The Chapter 8 Test is next week. All with the homework of this week, Journal #2 is due on Friday as well.
In Geometry, we wrapped up our discussion on the Law of Sines. We might do another word problem on the Law of Sines. We will begin Law of Cosines. The Chapter 8 Test is next week. The homework for today is pg. 429 #25-32.
Be safe!
In Geometry, we wrapped up our discussion on the Law of Sines. We might do another word problem on the Law of Sines. We will begin Law of Cosines. The Chapter 8 Test is next week. The homework for today is pg. 429 #25-32.
Be safe!
Friday, March 27, 2009
The End of the Card Marking!
Well everyone, it is the last day for the 3rd quarter. Another quarter to go before the close of the school year.
In Advanced Algebra, we worked on 8-4: Roots and Zeroes. We did some application problems. Question 7 of the worksheet is a journal problem due next Friday. I will put it up on Saturday. Next week we will begin 8-5: Rational Root Theorem.
In Geometry, we review 8-4: Angles of Depression and Elevation. We began 8-5: Laws of Sines. The homework is on pg. 429 #16-24. Next week we will talk about Laws of Cosines and take the test on Thrusday. It will be a busy week.
Be Safe and Enjoy the Weekend!
In Advanced Algebra, we worked on 8-4: Roots and Zeroes. We did some application problems. Question 7 of the worksheet is a journal problem due next Friday. I will put it up on Saturday. Next week we will begin 8-5: Rational Root Theorem.
In Geometry, we review 8-4: Angles of Depression and Elevation. We began 8-5: Laws of Sines. The homework is on pg. 429 #16-24. Next week we will talk about Laws of Cosines and take the test on Thrusday. It will be a busy week.
Be Safe and Enjoy the Weekend!
Thursday, March 26, 2009
It's Friday Eve, the day before books close!
Hi, Everyone.
In Advanced Algebra, we continued our discussion of 'Roots and Zeroes'. We mentioned the purpose of Decartes' Rule of Signs. Based on the number of sign changes with p(x) as x is positive and p(x) as x is negative, can determine the number of real and imaginary roots.
Read this:
Descartes' Rule of Signs is a useful help for finding the zeroes of a polynomial, assuming that you don't have the graph to look at. This topic isn't so useful if you have access to a graphing calculator because, rather than having to do guess-n-check to find the zeroes (using the Rational Root Test, Descartes' Rule of Signs, synthetic division, and other tools), you can just look at the picture on the screen. But if you need to use it, the Rule is actually quite simple.
Use Descartes' Rule of Signs to determine the number of real zeroes of:f (x) = x5 – x4 + 3x3 + 9x2 – x + 5.
Descartes' Rule of Signs will not tell you where the polynomial's zeroes are (you'll need to use the Rational Roots Test and synthetic division, or draw a graph, to actually find the roots), but the Rule will tell you how many roots you can expect.
First, I look at the polynomial as it stands, not changing the sign on x, so this is the "positive" case:
f (x) = x5 – x4 + 3x3 + 9x2 – x + 5
Ignoring the actual values of the coefficients, I then look at the signs on those coefficients:
f (x) = +x5 – x4 + 3x3 + 9x2 – x + 5
I draw little lines underneath to highlight where the signs change from positive to negative or from negative to positive from one term to the next:
Then I count the number of changes:
There are four sign changes in the "positive" case. This number "four" is the maximum possible number of positive zeroes (x-intercepts) for the polynomial f (x) = x5 – x4 + 3x3 + 9x2 – x + 5. However, some of the roots may be generated by the Quadratic Formula, and these pairs of roots may be complex and thus not graphable as x-intercepts. Because of this possibility, I have to count down by two's to find the complete list of the possible number of zeroes. That is, while there may be as many as four real zeroes, there might also be only two, and there might also be zero (none at all).
Now I look at f (–x) (that is, having changed the sign on x, so this is the "negative" case):
f (–x) = (–x)5 – (–x)4 + 3(–x)3 + 9(–x)2 – (–x) + 5
= –x5 – x4 – 3x3 + 9x2 + x + 5
I look at the signs:
f (–x) = –x5 – x4 – 3x3 + 9x2 + x + 5
...and I count the number of sign changes:
There is only one sign change in this "negative" case, so there is exactly one negative root. (In this case, I don't try to count down by two's, because the first subtraction would give me a negative number.)
There are 4, 2, or 0 positive roots, and exactly 1 negative root.
Some texts have you evaluate f (x) at x = 1 (for the positive roots) and at x = –1 (for the negative roots), so you would get the expressions "1 – 1 + 3 + 9 – 1 + 5" and "–1 – 1 – 3 + 9 + 1 + 5", respectively. But you would not simplify, and the numerical values would not be the point; you would analyze only the signs, as shown above.
Using Descartes' Rule of Signs, determine the number of real solutions to4x7 + 3x6 + x5 + 2x4 – x3 + 9x2 + x + 1 = 0.
I look first at the polynomial f (x) (this is the "positive" case):
f (x) = +4x7 + 3x6 + x5 + 2x4 – x3 + 9x2 + x + 1
There are two sign changes, so there are two or, counting down in pairs, zero positive solutions. Now I look at the polynomial f (–x) (this is the "negative" case):
f (–x) = 4(–x)7 + 3(–x)6 + (–x)5 + 2(–x)4 – (–x)3 + 9(–x)2 + (–x) + 1
= –4x7 + 3x6 – x5 + 2x4 + x3 + 9x2 – x + 1
There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Copyright © Elizabeth Stapel 1999-2009 All Rights Reserved
There are two or zero positive solutions, and five, three, or one negative solutions.
In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or.... For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1.
Use Descartes' Rule of Signs to find the number of real roots of f (x) = x5 + x4 + 4x3 + 3x2 + x + 1.
I look first at f (x):
f (x) = +x5 + x4 + 4x3 + 3x2 + x + 1
There are no sign changes, so there are no positive roots. Now I look at f (–x):
f (–x) = (–x)5 + (–x)4 + 4(–x)3 + 3(–x)2 + (–x) + 1
= –x5 + x4 – 4x3 + 3x2 – x + 1
There are five sign changes, so there are as many as five negative roots.
There are no positive roots, and there are five, three, or one negative roots.
Use Descartes' Rule of Signs to determine the possible number of solutions to the equation 2x4 – x3 + 4x2 – 5x + 3 = 0.
I look first at f (x):
f (x) = +2x4 – x3 + 4x2 – 5x + 3
There are four sign changes, so there are 4, 2, or 0 positive roots. Now I look at f (–x):
f (–x) = 2(–x)4 – (–x)3 + 4(–x)2 – 5(–x) + 3
= +2x4 + x3 + 4x2 + 5x + 3
There are no sign changes, so there are no negative roots.
There are four, two, or zero positive roots, and zero negative roots.
Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, if the Rational Roots Test gives you a long list of potential zeroes, and you've found one negative zero, and the Rule of Signs says that there is at most one negative root, then you know that you should start looking at positive roots, because there are no more negative roots, rational or otherwise.
Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.
The class has a worksheet to try out for tomorrow's class discussion.
In Geometry, we continued our discussion of Angle of Depression and Angle of Elevation. The class was given a worksheet to practice at home. Remember to draw pictures to figure things out.
Be Safe!
In Advanced Algebra, we continued our discussion of 'Roots and Zeroes'. We mentioned the purpose of Decartes' Rule of Signs. Based on the number of sign changes with p(x) as x is positive and p(x) as x is negative, can determine the number of real and imaginary roots.
Read this:
Descartes' Rule of Signs is a useful help for finding the zeroes of a polynomial, assuming that you don't have the graph to look at. This topic isn't so useful if you have access to a graphing calculator because, rather than having to do guess-n-check to find the zeroes (using the Rational Root Test, Descartes' Rule of Signs, synthetic division, and other tools), you can just look at the picture on the screen. But if you need to use it, the Rule is actually quite simple.
Use Descartes' Rule of Signs to determine the number of real zeroes of:f (x) = x5 – x4 + 3x3 + 9x2 – x + 5.
Descartes' Rule of Signs will not tell you where the polynomial's zeroes are (you'll need to use the Rational Roots Test and synthetic division, or draw a graph, to actually find the roots), but the Rule will tell you how many roots you can expect.
First, I look at the polynomial as it stands, not changing the sign on x, so this is the "positive" case:
f (x) = x5 – x4 + 3x3 + 9x2 – x + 5
Ignoring the actual values of the coefficients, I then look at the signs on those coefficients:
f (x) = +x5 – x4 + 3x3 + 9x2 – x + 5
I draw little lines underneath to highlight where the signs change from positive to negative or from negative to positive from one term to the next:
Then I count the number of changes:
There are four sign changes in the "positive" case. This number "four" is the maximum possible number of positive zeroes (x-intercepts) for the polynomial f (x) = x5 – x4 + 3x3 + 9x2 – x + 5. However, some of the roots may be generated by the Quadratic Formula, and these pairs of roots may be complex and thus not graphable as x-intercepts. Because of this possibility, I have to count down by two's to find the complete list of the possible number of zeroes. That is, while there may be as many as four real zeroes, there might also be only two, and there might also be zero (none at all).
Now I look at f (–x) (that is, having changed the sign on x, so this is the "negative" case):
f (–x) = (–x)5 – (–x)4 + 3(–x)3 + 9(–x)2 – (–x) + 5
= –x5 – x4 – 3x3 + 9x2 + x + 5
I look at the signs:
f (–x) = –x5 – x4 – 3x3 + 9x2 + x + 5
...and I count the number of sign changes:
There is only one sign change in this "negative" case, so there is exactly one negative root. (In this case, I don't try to count down by two's, because the first subtraction would give me a negative number.)
There are 4, 2, or 0 positive roots, and exactly 1 negative root.
Some texts have you evaluate f (x) at x = 1 (for the positive roots) and at x = –1 (for the negative roots), so you would get the expressions "1 – 1 + 3 + 9 – 1 + 5" and "–1 – 1 – 3 + 9 + 1 + 5", respectively. But you would not simplify, and the numerical values would not be the point; you would analyze only the signs, as shown above.
Using Descartes' Rule of Signs, determine the number of real solutions to4x7 + 3x6 + x5 + 2x4 – x3 + 9x2 + x + 1 = 0.
I look first at the polynomial f (x) (this is the "positive" case):
f (x) = +4x7 + 3x6 + x5 + 2x4 – x3 + 9x2 + x + 1
There are two sign changes, so there are two or, counting down in pairs, zero positive solutions. Now I look at the polynomial f (–x) (this is the "negative" case):
f (–x) = 4(–x)7 + 3(–x)6 + (–x)5 + 2(–x)4 – (–x)3 + 9(–x)2 + (–x) + 1
= –4x7 + 3x6 – x5 + 2x4 + x3 + 9x2 – x + 1
There are five sign changes, so there are five or, counting down in pairs, three or one negative solutions. Copyright © Elizabeth Stapel 1999-2009 All Rights Reserved
There are two or zero positive solutions, and five, three, or one negative solutions.
In the above example, the maximum number of positive solutions (two) and the maximum number of negative solutions (five) added up to the leading degree (seven). It will always be true that the sum of the possible numbers of positive and negative solutions will be equal to the degree of the polynomial, or two less, or four less, or.... For instance, if I had come up with a maximum answer of "two" for the possible positive solutions in the above example but had come up with only, say, "four" for the possible negative solutions, then I would known that I had made a mistake somewhere, because 2 + 4 does not equal 7, or 5, or 3, or 1.
Use Descartes' Rule of Signs to find the number of real roots of f (x) = x5 + x4 + 4x3 + 3x2 + x + 1.
I look first at f (x):
f (x) = +x5 + x4 + 4x3 + 3x2 + x + 1
There are no sign changes, so there are no positive roots. Now I look at f (–x):
f (–x) = (–x)5 + (–x)4 + 4(–x)3 + 3(–x)2 + (–x) + 1
= –x5 + x4 – 4x3 + 3x2 – x + 1
There are five sign changes, so there are as many as five negative roots.
There are no positive roots, and there are five, three, or one negative roots.
Use Descartes' Rule of Signs to determine the possible number of solutions to the equation 2x4 – x3 + 4x2 – 5x + 3 = 0.
I look first at f (x):
f (x) = +2x4 – x3 + 4x2 – 5x + 3
There are four sign changes, so there are 4, 2, or 0 positive roots. Now I look at f (–x):
f (–x) = 2(–x)4 – (–x)3 + 4(–x)2 – 5(–x) + 3
= +2x4 + x3 + 4x2 + 5x + 3
There are no sign changes, so there are no negative roots.
There are four, two, or zero positive roots, and zero negative roots.
Descartes' Rule of Signs can be useful for helping you figure out (if you don't have a graphing calculator that can show you) where to look for the zeroes of a polynomial. For instance, if the Rational Roots Test gives you a long list of potential zeroes, and you've found one negative zero, and the Rule of Signs says that there is at most one negative root, then you know that you should start looking at positive roots, because there are no more negative roots, rational or otherwise.
Similarly, if you've found, say, two positive solutions, and the Rule of Signs says that you should have, say, five or three or one positive solutions, then you know that, since you've found two, there is at least one more (to take you up to three), and maybe three more (to take you up to five), so you should keep looking for a positive solution.
The class has a worksheet to try out for tomorrow's class discussion.
In Geometry, we continued our discussion of Angle of Depression and Angle of Elevation. The class was given a worksheet to practice at home. Remember to draw pictures to figure things out.
Be Safe!
Wednesday, March 25, 2009
X-Men Last Stand...It involves some mathematics?
Hi, everyone.
In Advanced Algebra, we discussed 8-4: Roots and Zeroes. We mentioned the fact that every polynomial function has at least one root: real or imaginary. The roots can take the form: a + bi. For instance, the roots to x^2 + 1 = f(x) are +i and -i. They appear in the form 0 + i and 0 - i. This means that (x - (0 - i))(x -(0 + i)) = x^2 + 1 = f(x). We also generated polynomial functions from roots. That is, if x = -2, 3 and 4i. Then the polynomial function (in factored from) looks like (x + 2)(x - 3)(x - (0-4i))(x - (0+4i)), a quartic function. The homework is on pg. 507 #32-40.
In Geometry, we discussed 8-4: Angles of Elevation and Depression. Using trigonometric ratios, we determined the values of angles or side measures in word problems.
The example used in class is the following....watch the clip
http://www.youtube.com/watch?v=eiL31ZBxoy8
Looking at the clip on youtube...Look at time 1:00. As Magneto is meters and seconds away from lowering the bridge on the guards, he thinks-"I wonder what the angle of depression is to the guard as I am about to finish them!" The image of the bridge and Alcatraz forms a special image. The distance from Magneto's eye line to the guard's eye line is 1,000 ft (the hypotenuse). Magneto is 100 ft above the guard (the altitude). Based on this information, you can use 'sine of x' to figure the problem out. So, sin (x) = (100/1,000). Once you take the inverse of each side, sin^-1(100/1,000) = x -which is the angle of depression. Make sure your calculator is in degrees and not radians. The homework is pg. 422 #22-25.
Be Safe. Please, BE SAFE!
In Advanced Algebra, we discussed 8-4: Roots and Zeroes. We mentioned the fact that every polynomial function has at least one root: real or imaginary. The roots can take the form: a + bi. For instance, the roots to x^2 + 1 = f(x) are +i and -i. They appear in the form 0 + i and 0 - i. This means that (x - (0 - i))(x -(0 + i)) = x^2 + 1 = f(x). We also generated polynomial functions from roots. That is, if x = -2, 3 and 4i. Then the polynomial function (in factored from) looks like (x + 2)(x - 3)(x - (0-4i))(x - (0+4i)), a quartic function. The homework is on pg. 507 #32-40.
In Geometry, we discussed 8-4: Angles of Elevation and Depression. Using trigonometric ratios, we determined the values of angles or side measures in word problems.
The example used in class is the following....watch the clip
http://www.youtube.com/watch?v=eiL31ZBxoy8
Looking at the clip on youtube...Look at time 1:00. As Magneto is meters and seconds away from lowering the bridge on the guards, he thinks-"I wonder what the angle of depression is to the guard as I am about to finish them!" The image of the bridge and Alcatraz forms a special image. The distance from Magneto's eye line to the guard's eye line is 1,000 ft (the hypotenuse). Magneto is 100 ft above the guard (the altitude). Based on this information, you can use 'sine of x' to figure the problem out. So, sin (x) = (100/1,000). Once you take the inverse of each side, sin^-1(100/1,000) = x -which is the angle of depression. Make sure your calculator is in degrees and not radians. The homework is pg. 422 #22-25.
Be Safe. Please, BE SAFE!
Tuesday, March 24, 2009
On This Day, Tommy Hilfiger and Peyton Manning were born.
Hi, Everyone.
Today was a busy and hectic day.
In Advanced Algebra, we took a group quiz on 8-1 thru 8-3. It involved the Remainder Theorem, and various functions with their tables of values. Tomorrow we will tackle 8-4: Roots of a Function.
In Geometry, we took a group quiz on 8-1 thru 8-3. It involved the geometric mean and the Pythagorean Theorem with some trigonometric functions mixed in. Tomorrow we will use trigonometric functions in word problems, 8-4.
Be Safe!
Today was a busy and hectic day.
In Advanced Algebra, we took a group quiz on 8-1 thru 8-3. It involved the Remainder Theorem, and various functions with their tables of values. Tomorrow we will tackle 8-4: Roots of a Function.
In Geometry, we took a group quiz on 8-1 thru 8-3. It involved the geometric mean and the Pythagorean Theorem with some trigonometric functions mixed in. Tomorrow we will use trigonometric functions in word problems, 8-4.
Be Safe!
Monday, March 23, 2009
It's Week 28! There is some stuff from WK 27 that I forgot to mention.
Hi, everyone.
Last week Advanced Algebra was assigned pg. 498 #29-32,37,38 on Friday.
Starting today, Advanced Algebra worked on 8-3 again. We talked about local minimums and local maximums, zeroes, and how to find them on the table of a function. The group quiz has been pushed back until tomorrow.
In Geometry, we reviewed Geometer Sketchpad Lab 3 which covered the two special triangles: 45-90-45 and 30-60-90. The CW/HW is pg. 416 #24-40. The group quiz has been pushed back until tomorrow.
Be Safe!
Last week Advanced Algebra was assigned pg. 498 #29-32,37,38 on Friday.
Starting today, Advanced Algebra worked on 8-3 again. We talked about local minimums and local maximums, zeroes, and how to find them on the table of a function. The group quiz has been pushed back until tomorrow.
In Geometry, we reviewed Geometer Sketchpad Lab 3 which covered the two special triangles: 45-90-45 and 30-60-90. The CW/HW is pg. 416 #24-40. The group quiz has been pushed back until tomorrow.
Be Safe!
Wednesday, March 18, 2009
I was away at a workshop. It's Week 27.
Hi, everyone.
It has been a busy week, thus far.
In Advanced Algebra, on Monday-we did pg. 489 #16-23, 30-37 in class. It is 8-2: The Remainder Theorem. On Tuesday-we did a worksheet in class. It covered 8-2. Today in class we reviewed the work from the last two days. The work from Monday is due tomorrow.
In Geometry, on Monday-we did a worksheet on Geometric Mean. On Tuesday-we did a worksheet on Pythagorean Theorem. Today we reviewed both sheets in class.
All of the sheets from today will be placed on the blog tomorrow.
A reminder was issued that all assignments are due by March 30th. Or it is a zero.
Do your work! Please study! Be safe!
It has been a busy week, thus far.
In Advanced Algebra, on Monday-we did pg. 489 #16-23, 30-37 in class. It is 8-2: The Remainder Theorem. On Tuesday-we did a worksheet in class. It covered 8-2. Today in class we reviewed the work from the last two days. The work from Monday is due tomorrow.
In Geometry, on Monday-we did a worksheet on Geometric Mean. On Tuesday-we did a worksheet on Pythagorean Theorem. Today we reviewed both sheets in class.
All of the sheets from today will be placed on the blog tomorrow.
A reminder was issued that all assignments are due by March 30th. Or it is a zero.
Do your work! Please study! Be safe!
Friday, March 13, 2009
I have a 4 day weekend! NOT!
Hi, everyone.
In Advanced Algebra, we began our discussion on 8-2: The Remainder/Factor Theorem. Remember that "Dividend = Quotient (Divisor) + Remainder" for a number or for a polynomial.
For example, 56 = 3 (18) + 2. And also, x^2 + 3x - 4 = (x + 8) (x - 5) + 36.
In Geometry, we finished our discussion on 8-1: Geometric Mean and Pythagorean Theorem. Throughout the school year, we have been discussing the Pythagorean Theorem.
There is no homework due on Monday. On Wednesday, I will expect all students to have turned in their comics, fractal or list project/sheet.
BE SAFE and DO NOT GIVE THE SUB A HARD TIME NEXT WEEK!
In Advanced Algebra, we began our discussion on 8-2: The Remainder/Factor Theorem. Remember that "Dividend = Quotient (Divisor) + Remainder" for a number or for a polynomial.
For example, 56 = 3 (18) + 2. And also, x^2 + 3x - 4 = (x + 8) (x - 5) + 36.
In Geometry, we finished our discussion on 8-1: Geometric Mean and Pythagorean Theorem. Throughout the school year, we have been discussing the Pythagorean Theorem.
There is no homework due on Monday. On Wednesday, I will expect all students to have turned in their comics, fractal or list project/sheet.
BE SAFE and DO NOT GIVE THE SUB A HARD TIME NEXT WEEK!
Thursday, March 12, 2009
It's Friday-Eve. The kids are coming back :)
Hi, everyone. It has been wierd without all of the students. Tomorrow will be a review day for the class on Chapter 8 Section 1. And we more on!
In Advanced Algebra, 8-1 is Graphing Polynomial Functions; we will briefly review it and start 8-2. Today we took a retake quiz on Conic Sections.
In Geometry, 8-1 is Geometric Mean and Pythagorean Thm. We did classwork on Geometric Mean-pg. 408 #15-29. Also, students turned in the Fractal Project and Primitive Pythagorean Triples List. Tomorrow, notebook check (binders) are due.
Be Safe!
In Advanced Algebra, 8-1 is Graphing Polynomial Functions; we will briefly review it and start 8-2. Today we took a retake quiz on Conic Sections.
In Geometry, 8-1 is Geometric Mean and Pythagorean Thm. We did classwork on Geometric Mean-pg. 408 #15-29. Also, students turned in the Fractal Project and Primitive Pythagorean Triples List. Tomorrow, notebook check (binders) are due.
Be Safe!
Wednesday, March 11, 2009
Second Day of Smaller Classes. I miss all my students!
In Advanced Algebra, we continued are discussion of 8-1: Graphing Polynomials. Tomorrow we will have a retake quiz on Conic Sections & complete are discussion on 8-1.
In Geometry, we continued are discussion of 8-1: Geometric Mean. We did an activity in finding the height of the walls using the geometric mean. The homework is to find 10 Primitive Pythagorean Triples and The Fractal Project.
BE SAFE!
In Geometry, we continued are discussion of 8-1: Geometric Mean. We did an activity in finding the height of the walls using the geometric mean. The homework is to find 10 Primitive Pythagorean Triples and The Fractal Project.
BE SAFE!
Tuesday, March 10, 2009
The First Day of ACT Testing! Smaller Classes :)
Hi, everyone!
Since there is ACT testing, all of my classes moved at a slower pace today.
In Advanced Algebra, we discussed conic sections (parabola, ellipse, hyperbola, and circle) and reviewed for the quiz retake on Thursday. Be sure to have yesterday's homework assignment completed for tomorrow's discussion.
In Geometry, (during 2nd, 4th, and 6th hours) we began 8-1: Geometric Mean/Pythagorean Theorem. We discussed the formula for geometric mean: (x/a)=(b/x) or x^2 = ab. We also did an activity to see the similarities between several triangles within a right triangle. The homework is to obtain a list of 10 Pythagorean Primitive Triples by Thursday. Use the internet to your advantage.
BE SAFE!!
Since there is ACT testing, all of my classes moved at a slower pace today.
In Advanced Algebra, we discussed conic sections (parabola, ellipse, hyperbola, and circle) and reviewed for the quiz retake on Thursday. Be sure to have yesterday's homework assignment completed for tomorrow's discussion.
In Geometry, (during 2nd, 4th, and 6th hours) we began 8-1: Geometric Mean/Pythagorean Theorem. We discussed the formula for geometric mean: (x/a)=(b/x) or x^2 = ab. We also did an activity to see the similarities between several triangles within a right triangle. The homework is to obtain a list of 10 Pythagorean Primitive Triples by Thursday. Use the internet to your advantage.
BE SAFE!!
Monday, March 9, 2009
It's Week 26. The week of Pi.
Hi. Today was an average day.
Advanced Algebra began learning about polynomial functions. We drew the parent graphs and some variations of the linear, quadratic, cubic, quartic, and quintic functions. The homework is pg. 483 #24-32.
Geometry took their test of Chapter 7, which they were unable to do on Friday. The Fractal Project is due on Thursday/Friday. The notebook check will not occur until Friday, due to my absence and ACT/MME testing.
Good luck, Juniors and remember to be safe!
Advanced Algebra began learning about polynomial functions. We drew the parent graphs and some variations of the linear, quadratic, cubic, quartic, and quintic functions. The homework is pg. 483 #24-32.
Geometry took their test of Chapter 7, which they were unable to do on Friday. The Fractal Project is due on Thursday/Friday. The notebook check will not occur until Friday, due to my absence and ACT/MME testing.
Good luck, Juniors and remember to be safe!
Thursday, March 5, 2009
It's Parent Teacher Conference Day1
Hi, Everyone.
In Advanced Algebra, we reviewed conic sections in preparation for the quiz tomorrow. Students also turned in their Comics Project.
In Geometry, we reviewed for the Chapter 7 Test - which is tomorrow. There will be two parts: one in class and one over the weekend. A new project was announced: create a fractal up to stage 4. Be creative.
Earlier I introduced a video on similar triangles. Here is part two.
www.youtube.com/watch?v=qO2cTx6DwCA
Copy it to the URL and watch it.
BE SAFE!
In Advanced Algebra, we reviewed conic sections in preparation for the quiz tomorrow. Students also turned in their Comics Project.
In Geometry, we reviewed for the Chapter 7 Test - which is tomorrow. There will be two parts: one in class and one over the weekend. A new project was announced: create a fractal up to stage 4. Be creative.
Earlier I introduced a video on similar triangles. Here is part two.
www.youtube.com/watch?v=qO2cTx6DwCA
Copy it to the URL and watch it.
BE SAFE!
Wednesday, March 4, 2009
Tomorrow is Parent Teacher Conference....Okay!
Well another TechnoDay has occured. In Geometry, we went to the computer lab and worked with Geometer Sketchpad and understanding more about iterations and similarity. The homework is to prepare for the test on Friday.
In Advanced Algebra, we discussed how to interpret the different conic sections by looking at the equations. For instance:
1. parabola equations - they always have at most one quadratic term with degree one for one variable and the other variable is degree one.
2. circle equations - they always have two quadratic terms with degree two and whose coefficients are positive one.
3. ellipse equations - they always have two quadratic terms with degree two and whose coefficients are primarily a number other than one.
4. hyperbola equations - they always have two quadratic terms with degree two and whose coefficients are primarily a number other than one; and either the coefficient is -1 for x^2 or for y^2.
The quiz is this Friday.
BE SAFE AND STUDY!
In Advanced Algebra, we discussed how to interpret the different conic sections by looking at the equations. For instance:
1. parabola equations - they always have at most one quadratic term with degree one for one variable and the other variable is degree one.
2. circle equations - they always have two quadratic terms with degree two and whose coefficients are positive one.
3. ellipse equations - they always have two quadratic terms with degree two and whose coefficients are primarily a number other than one.
4. hyperbola equations - they always have two quadratic terms with degree two and whose coefficients are primarily a number other than one; and either the coefficient is -1 for x^2 or for y^2.
The quiz is this Friday.
BE SAFE AND STUDY!
Tuesday, March 3, 2009
FRACTALS ARE FUN!
In Advanced Algebra, we discussed hyperbolas. There are vertical and horizontal sketches of these kinds of conic sections. Tomorrow we'll look at all the conic sections. The homework is pg. 446 #23-30.
In Geometry, we discussed Fractals again. We reviewed the process of iteration and found the dimensions of various fractals. We saw the relationship between Sierpenski's Triangle and Pascal's Triangle. The homework is to review for the test on Friday, which is on Chapter 7.
Here is a video on ratios; I think it might be helpful.
Tomorrow, I'll put up the other video that complements it!
Remember Be Safe!!
In Geometry, we discussed Fractals again. We reviewed the process of iteration and found the dimensions of various fractals. We saw the relationship between Sierpenski's Triangle and Pascal's Triangle. The homework is to review for the test on Friday, which is on Chapter 7.
Here is a video on ratios; I think it might be helpful.
Tomorrow, I'll put up the other video that complements it!
Remember Be Safe!!
Monday, March 2, 2009
It's Monday- Week 25!
Hello, Everyone!
I just saw Medea Goes to Jail"! I never laughed so loud!
Anyways, in Advanced Algebra, we discussed Ellipses. We talked about major and minor axises. The homework is pg. 437 #19-26.
In Geometry, we discussed FRACTALS! We did preliminary work on learning about fractals. We dealt with 2D objects and learned LENGTH ^2 = SIZE. We dealt with 3D objects and learned LENGTH ^2 = SIZE. What was the general equation that we developed?
The homework is 7-6 Practice sheet which will be placed on the blog tomorrow.
BE SAFE!
I just saw Medea Goes to Jail"! I never laughed so loud!
Anyways, in Advanced Algebra, we discussed Ellipses. We talked about major and minor axises. The homework is pg. 437 #19-26.
In Geometry, we discussed FRACTALS! We did preliminary work on learning about fractals. We dealt with 2D objects and learned LENGTH ^2 = SIZE. We dealt with 3D objects and learned LENGTH ^2 = SIZE. What was the general equation that we developed?
The homework is 7-6 Practice sheet which will be placed on the blog tomorrow.
BE SAFE!
Friday, February 27, 2009
It's Another Friday!
Today ends week 24 of the school year.
Advanced Algebra took a quiz on sections 7-1 thru 7-3. Next week we will discuss conic sections: ellipses and hyperbolas.
Geometry reviewed sections 7-1 thru 7-5. The test will be next Friday. All sections: your homework is to finish the comics project. Hours 3 and 4, however, are to turn in the definitions sheet for Chapter 7.
Next week will be an exciting week. We will tackle FRACTALS.
Doc 2
Be safe!
Advanced Algebra took a quiz on sections 7-1 thru 7-3. Next week we will discuss conic sections: ellipses and hyperbolas.
Geometry reviewed sections 7-1 thru 7-5. The test will be next Friday. All sections: your homework is to finish the comics project. Hours 3 and 4, however, are to turn in the definitions sheet for Chapter 7.
Next week will be an exciting week. We will tackle FRACTALS.
Doc 2
Publish at Scribd or explore others:
Be safe!
Thursday, February 26, 2009
The Last Thursday of February 2009
The month is coming to its end. Time flies.
Anyways, Advanced Algebra students had practiced more with circles. We mentioned tangent and secant lines. The homework is pg. 428 #44-50. There is a quiz tomorrow which covers Distance Formula, Midpoint Formula, Parabolas, and Circles.
The Geometry students worked 7-5 which deals with similar parts of the triangle. Theroems 7-7 thru 7-11 utilize medians and angle bisectors to show proportional parts of triangles. The homework is pg. 374 #18-25.
Next week in Geometry we will tackle Fractals. This will be interesting!
Be Safe!
Anyways, Advanced Algebra students had practiced more with circles. We mentioned tangent and secant lines. The homework is pg. 428 #44-50. There is a quiz tomorrow which covers Distance Formula, Midpoint Formula, Parabolas, and Circles.
The Geometry students worked 7-5 which deals with similar parts of the triangle. Theroems 7-7 thru 7-11 utilize medians and angle bisectors to show proportional parts of triangles. The homework is pg. 374 #18-25.
Next week in Geometry we will tackle Fractals. This will be interesting!
Be Safe!
Wednesday, February 25, 2009
It's Wednesday-Hump Day!
For Advanced Algebra, we discussed 7-3: Circles. We found the radius and centers of circles. The homework is pg. 427 #23-34.
For Geometry, we discussed 7-4: Parallel Lines and Proportional Parts. We finished that today. Corollary 7-1 and 7-2 is similar to Theorem 7-4, it just involves parallel lines and transversals. The homework is pg. 366-7 #6-8,20,23-25.
BE Safe!
For Geometry, we discussed 7-4: Parallel Lines and Proportional Parts. We finished that today. Corollary 7-1 and 7-2 is similar to Theorem 7-4, it just involves parallel lines and transversals. The homework is pg. 366-7 #6-8,20,23-25.
BE Safe!
Tuesday, February 24, 2009
So, sorry. I missed a day! It's Week 24
Hi,everyone. I missed a day. There was a staff meeting yesterday.
For Advanced Algebra, on Monday, we discussed 7-1: Distance Formula and Midpoint Forumla. The discussion recalled use of the Pythagorean Theroem. The homework was pg. 412 #29-32 and find the distance of AB. On Tuesday, we discussed 7-2: Parabolas. The discussion revealed vertical parabolas and horizontal parabolas. The homework is pg. 420 #30,31,42,43,44.
For Geometry, on Monday, we discussed 7-3: Identifying Similar Triangles. The homework was to review the theorems. On Tuesday, we discussed 7-4: Parallel Lines and Proportional Parts. The homework is pg. 367-367 #13-19,28-31.
The Comics project is due in the following manner:
1st Hour - due 3/5/09
2nd Hour - due 3/4/09
3rd/4th Hour - due 3/2/09
6th Hour - due 3/4/09
Remember Be Safe!
For Advanced Algebra, on Monday, we discussed 7-1: Distance Formula and Midpoint Forumla. The discussion recalled use of the Pythagorean Theroem. The homework was pg. 412 #29-32 and find the distance of AB. On Tuesday, we discussed 7-2: Parabolas. The discussion revealed vertical parabolas and horizontal parabolas. The homework is pg. 420 #30,31,42,43,44.
For Geometry, on Monday, we discussed 7-3: Identifying Similar Triangles. The homework was to review the theorems. On Tuesday, we discussed 7-4: Parallel Lines and Proportional Parts. The homework is pg. 367-367 #13-19,28-31.
The Comics project is due in the following manner:
1st Hour - due 3/5/09
2nd Hour - due 3/4/09
3rd/4th Hour - due 3/2/09
6th Hour - due 3/4/09
Remember Be Safe!
Friday, February 20, 2009
Madea Goes To Jail!
Hey everyone, it's the weekend.
Today in Advanced Algebra, we took a test on quadratic functions. Next week, we will conclude comics and start Chapter 7 Conic Sections.
Today in Geometry, we started 7-3: Similar Triangles and concluded our comics in-class portion.
Next week, we are moving fast in Conics and Similar Triangles. I will also introduce a new problem of the week (it will be a little easier than the last one).
BE SAFE THIS WEEKEND!
Today in Advanced Algebra, we took a test on quadratic functions. Next week, we will conclude comics and start Chapter 7 Conic Sections.
Today in Geometry, we started 7-3: Similar Triangles and concluded our comics in-class portion.
Next week, we are moving fast in Conics and Similar Triangles. I will also introduce a new problem of the week (it will be a little easier than the last one).
BE SAFE THIS WEEKEND!
Thursday, February 19, 2009
On the 19th day of February in the year of the ox, it is written....
In Advanced Algebra, we reviewed for the chapter 6 test with a jigsaw puzzle activity.
In Geometry, we took a quiz on 7-1 & 7-2. We also worked on our comics project. The homework is to grid the picture before the next assignment for the weekend.
Be Safe!
In Geometry, we took a quiz on 7-1 & 7-2. We also worked on our comics project. The homework is to grid the picture before the next assignment for the weekend.
Be Safe!
Wednesday, February 18, 2009
It's Wednesday-Hump Day!
Hey, everyone. Today was Hat Day. I hope you participated; the funds went to a worthy charity. The next two days are going to be rough.
In Advanced Algebra, we discussed 6-7: Solving and Graphing Quadratic Inequalities. If you reviewed 2-7, 6-7 will be easy to understand. The test will cover 6-1 thru 6-4and 6-6,6-7. On Monday we, start with 7-1 and finish off the classwork portion of the Comics project.
In Geometry, we finished our discussion on Similar Polygons and talked about transformations and dilations. Think of the way a rubber band stretches whem talking about dilations. The quiz is tomorrow and will cover 7-1 and 7-2. It is a group quiz.
Be Safe!
In Advanced Algebra, we discussed 6-7: Solving and Graphing Quadratic Inequalities. If you reviewed 2-7, 6-7 will be easy to understand. The test will cover 6-1 thru 6-4and 6-6,6-7. On Monday we, start with 7-1 and finish off the classwork portion of the Comics project.
In Geometry, we finished our discussion on Similar Polygons and talked about transformations and dilations. Think of the way a rubber band stretches whem talking about dilations. The quiz is tomorrow and will cover 7-1 and 7-2. It is a group quiz.
Be Safe!
Tuesday, February 17, 2009
A short week from a long weekend. It's Week 23!
It's after President's Day and there is so much to do!
In Advanced Algebra, we finished 6-6. We analyzed graphs of quadratic functions. There will be such things on the exam on Friday. The homework is to review 2-7, because tomorrow we will be dealing with solving quadratic inequalities by graphing.
In Geometry, we talked about proportions and similar polygons. We discussed the differences between similar and congruence. We mentioned the relationship between scalar factors and multiplier and maps. The homework is pg. 351 #13-25. There are some students that still have pictures to turn in.
Remember that ALG 2 has a test on Friday. On Thursday, there is a quiz in Geometry.
Be safe!!
In Advanced Algebra, we finished 6-6. We analyzed graphs of quadratic functions. There will be such things on the exam on Friday. The homework is to review 2-7, because tomorrow we will be dealing with solving quadratic inequalities by graphing.
In Geometry, we talked about proportions and similar polygons. We discussed the differences between similar and congruence. We mentioned the relationship between scalar factors and multiplier and maps. The homework is pg. 351 #13-25. There are some students that still have pictures to turn in.
Remember that ALG 2 has a test on Friday. On Thursday, there is a quiz in Geometry.
Be safe!!
Friday, February 13, 2009
Jason's at the Movies on His Day!
The weeks are whizzing by! We have only 3 1/2 days next week.
For Advanced Algebra:
We are continuing to dicsuss 6-6. We will finish are exploration of 6-6 on Tuesday. The homework is to finish off the worksheet that we have been working on.
For Geometry:
We will officially start Chapter 7 next week. Today we started are comics project. I will post it on Tuesday. It is due March 2nd, but I will be checkng on your progress periodically. We review the idea of ratios and proportions and how it relates to society. Also, today students turned in their binders and homework (except 6th hour).There is homework: those that received their tests back are to get them signed by their parent/guardian. Next week all test will be passed back; they will need to be signed by a parent/guardian.
It's a long weekend. Remember to be safe!
For Advanced Algebra:
We are continuing to dicsuss 6-6. We will finish are exploration of 6-6 on Tuesday. The homework is to finish off the worksheet that we have been working on.
For Geometry:
We will officially start Chapter 7 next week. Today we started are comics project. I will post it on Tuesday. It is due March 2nd, but I will be checkng on your progress periodically. We review the idea of ratios and proportions and how it relates to society. Also, today students turned in their binders and homework (except 6th hour).There is homework: those that received their tests back are to get them signed by their parent/guardian. Next week all test will be passed back; they will need to be signed by a parent/guardian.
It's a long weekend. Remember to be safe!
Thursday, February 12, 2009
I know I'm behind! It's Week 22.
Apologies to everyone. I had a staff meeting on Monday. Tuesday and Wednesday I had a conference to go to.
For the week so far:
In Advanced Algebra, we are discussing 6-6: Analyzing the Graphs of Quadratic Functions. Monday's homework covered pg. 373 #18-23,40-45. Tuesday's homework covered 6-6 Practice Sheet. The classwork on Tuesday and Wednesday were pg. 373 #24-29,46-51 and pg. 890 #1-21, respectively.
In Geometry, we are finishing Chapter 6: Quadrilaterals. Monday's homework covered pg. 327 #46. Tuesday and Wednesday's classwork were pg. 329 #1-22,24-43 and pg. 774-775 #sections 6-1 thru 6-5, respectively.
On Friday, I will be collecting: 1) a picture for the special project, 2) homework, and 3) notebook/3 ring binders.
Be Safe! There is a lot of groundwater laying around.
For the week so far:
In Advanced Algebra, we are discussing 6-6: Analyzing the Graphs of Quadratic Functions. Monday's homework covered pg. 373 #18-23,40-45. Tuesday's homework covered 6-6 Practice Sheet. The classwork on Tuesday and Wednesday were pg. 373 #24-29,46-51 and pg. 890 #1-21, respectively.
In Geometry, we are finishing Chapter 6: Quadrilaterals. Monday's homework covered pg. 327 #46. Tuesday and Wednesday's classwork were pg. 329 #1-22,24-43 and pg. 774-775 #sections 6-1 thru 6-5, respectively.
On Friday, I will be collecting: 1) a picture for the special project, 2) homework, and 3) notebook/3 ring binders.
Be Safe! There is a lot of groundwater laying around.
Friday, February 6, 2009
It's Friday! It's Friday!
Well, another week has ended. Tests are on the horizon.
In Advanced Algebra, we took a quiz that covered 6-1 thru 6-4. I have checked them. Some need to study. Others need to seriously study. The test will be coming the week of President's Day.
In Geometry, we retook a quiz and started 6-5: Trapezoids. There are three kinds of trapezoids: regular, isosceles, and right. It is important to know the difference between them all. The homework is pg. 324 -325 #5-13,16-32. The chapter 6 test is next Thursday. I will be out of the building on Tuesday and Wednesday. I will encourage you to review wisely! I will provide answer keys for any review assignments I give you! Be sure to copy your defintions, thereoms, and vocabulary words down.
In Geometry Lab, I assigned extra credit that if you watch Gifted Hands (on TNT) this weekend and provide a one page summary of the movie-you'll have the potential to receive 15 extra credit points.
BE SAFE!
In Advanced Algebra, we took a quiz that covered 6-1 thru 6-4. I have checked them. Some need to study. Others need to seriously study. The test will be coming the week of President's Day.
In Geometry, we retook a quiz and started 6-5: Trapezoids. There are three kinds of trapezoids: regular, isosceles, and right. It is important to know the difference between them all. The homework is pg. 324 -325 #5-13,16-32. The chapter 6 test is next Thursday. I will be out of the building on Tuesday and Wednesday. I will encourage you to review wisely! I will provide answer keys for any review assignments I give you! Be sure to copy your defintions, thereoms, and vocabulary words down.
In Geometry Lab, I assigned extra credit that if you watch Gifted Hands (on TNT) this weekend and provide a one page summary of the movie-you'll have the potential to receive 15 extra credit points.
BE SAFE!
Thursday, February 5, 2009
Sorry, I'm late posting. I was tutoring!
Today in Advanced Algebra, we continued on our discussion on the disrciminant and quadratic equations. The quiz will cover 6-1 thru 6-4. There are several ways to solve a quadratic function: 1) factoring, 2) completing the square, 3) graphing calculator, and 4) quadratic forumla. Remember to bring in your pictures before next Friday.
Today in Geometry, we took our quiz on 6-1 thru 6-4. It is important to review the material. You will have 10 minutes to correct any wrong problems, tomorrow. We will start 6-5: Trapezoids. In 6th hour, a draw activity is the homework; drawing an labeling a square, rectangle, and rhombus.
Today in Geometry Lab, we worked on an activity to review 6-1 thru 6-4. We also worked on a proportion sheet to get ready for the special project and Chapter 7.
Remember that all homework for the week is due tomorrow!
Be Safe!
Today in Geometry, we took our quiz on 6-1 thru 6-4. It is important to review the material. You will have 10 minutes to correct any wrong problems, tomorrow. We will start 6-5: Trapezoids. In 6th hour, a draw activity is the homework; drawing an labeling a square, rectangle, and rhombus.
Today in Geometry Lab, we worked on an activity to review 6-1 thru 6-4. We also worked on a proportion sheet to get ready for the special project and Chapter 7.
Remember that all homework for the week is due tomorrow!
Be Safe!
Wednesday, February 4, 2009
Mid-Week...Two Nights 'Til Friday!
Time flies by!
In Advanced Algebra, we started a new section called 6-4: The Quadratic Formula and Discriminant. We talked about the four kinds of discriminants to look out for (look on page 356 in the off yellow box). The discriminants tell you what kind of roots there are for a quadratic equation. The quadratic formula provides a solution to a quadratic equation. The homework is on pg. 357 #16-21. We will practice more on these kinds of problems. Remember the quiz is on Friday, which covers 6-1 thru 6-4.
Here is a video on solving a quadratic via the quadratic formula.
In Geometry, 2nd and 3rd hours need to review for the quiz tomorrow on 6-1 thru 6-4. It is important to know how to draw and label any of the quadrilaterals discussed so far. You should be able find the measure of angles or lengths of lines based on any given information.
Go to Glencoe.com. Look up your textbook. It is copyrighted from 2001. Explore the site and attempt the quizzes and tests for this section.
4th hour has a proportion worksheet assignment due tomorrow. 6th hour should review for the "quiz".
Rememebr, BE SAFE!
In Advanced Algebra, we started a new section called 6-4: The Quadratic Formula and Discriminant. We talked about the four kinds of discriminants to look out for (look on page 356 in the off yellow box). The discriminants tell you what kind of roots there are for a quadratic equation. The quadratic formula provides a solution to a quadratic equation. The homework is on pg. 357 #16-21. We will practice more on these kinds of problems. Remember the quiz is on Friday, which covers 6-1 thru 6-4.
Here is a video on solving a quadratic via the quadratic formula.
In Geometry, 2nd and 3rd hours need to review for the quiz tomorrow on 6-1 thru 6-4. It is important to know how to draw and label any of the quadrilaterals discussed so far. You should be able find the measure of angles or lengths of lines based on any given information.
Go to Glencoe.com. Look up your textbook. It is copyrighted from 2001. Explore the site and attempt the quizzes and tests for this section.
4th hour has a proportion worksheet assignment due tomorrow. 6th hour should review for the "quiz".
Rememebr, BE SAFE!
Tuesday, February 3, 2009
P. Phil saw his shadow....We're in Michigan. We knew that already!
Today was a good day. The super bowl has been forgotten. Assessments are on the horizon.
For Advanced Algebra, we wrapped up our discussion of 6-3. The homework was the practice sheet associated with 6-3. I will put a copy of it on this blog tomorrow. The quiz will occur on Friday. It will cover 6-1 thru 6-4. The journals are due on Friday. Tomorrow we will start 6-4: The Quadratic Formula and the Discriminant.
For Geometry, we continued work on 6-4: Squares and Rhombus, with a study guide sheet. The quiz will cover 6-1 thru 6-4; because of the assemblies, 2nd & 3rd hours will have their quiz on Thursday. The homework is to study this material.
For Geometry Lab, we reviewed 6-4 with a practice sheet. We also began work on a logic puzzle involving cars. I will post on tomorrow's blogpsot.
The problem of the week will last for this week since no one has tried it yet.
In the mean time, BE SAFE! GO DRAGONS!
For Advanced Algebra, we wrapped up our discussion of 6-3. The homework was the practice sheet associated with 6-3. I will put a copy of it on this blog tomorrow. The quiz will occur on Friday. It will cover 6-1 thru 6-4. The journals are due on Friday. Tomorrow we will start 6-4: The Quadratic Formula and the Discriminant.
For Geometry, we continued work on 6-4: Squares and Rhombus, with a study guide sheet. The quiz will cover 6-1 thru 6-4; because of the assemblies, 2nd & 3rd hours will have their quiz on Thursday. The homework is to study this material.
For Geometry Lab, we reviewed 6-4 with a practice sheet. We also began work on a logic puzzle involving cars. I will post on tomorrow's blogpsot.
The problem of the week will last for this week since no one has tried it yet.
In the mean time, BE SAFE! GO DRAGONS!
Monday, February 2, 2009
The Day After.... Poor Cardinals!
I always cheer for the underdogs. This time they didn't win. Maybe next year!
Anyways in Advanced Algebra: I collected the journal-only to proofread them. There are still due on Friday. I will pass them back with corrections. We start our discussion on 6-3: Completing the Square. It sounds complicated, but it isn't. Next week I'll have a power point presentation on 6-1 thru 6-4 that reviews it all. The homework on 6-3 is pg.351 #25-34.
Also in Geometry: We reviewed 6-3:Rectangles and began 6-4:Squares and Rhombi. The homework is to review 6-1 thru 6-4 for the quiz on Wednesday. It is important to know the parts of the four quadrilaterals, to be able to draw them, and to be able to label them. Knowing how the diagonals work in each one is key to solving the problems associated with the quadrilaterals.
Be safe!
Anyways in Advanced Algebra: I collected the journal-only to proofread them. There are still due on Friday. I will pass them back with corrections. We start our discussion on 6-3: Completing the Square. It sounds complicated, but it isn't. Next week I'll have a power point presentation on 6-1 thru 6-4 that reviews it all. The homework on 6-3 is pg.351 #25-34.
Also in Geometry: We reviewed 6-3:Rectangles and began 6-4:Squares and Rhombi. The homework is to review 6-1 thru 6-4 for the quiz on Wednesday. It is important to know the parts of the four quadrilaterals, to be able to draw them, and to be able to label them. Knowing how the diagonals work in each one is key to solving the problems associated with the quadrilaterals.
Be safe!
Friday, January 30, 2009
It's The Weekend, Hallejuah!
It's the weekend. Monday will be here in a second.
For the Advanced Algebra students, here is a video on solving a quadratic by factoring:
The homework is a journal problem from 6-2; it's problem #39 on pg. 345. On Monday, we will start 6-3: Completing the Square.
For the Geometry students, we learned about Geometer Sketchpad. We reviewed angle bisectors and talked about concurrency. There's no homework except to review 6-1 thru 6-3. We will start 6-4 on Monday.
Be Safe!
For the Advanced Algebra students, here is a video on solving a quadratic by factoring:
The homework is a journal problem from 6-2; it's problem #39 on pg. 345. On Monday, we will start 6-3: Completing the Square.
For the Geometry students, we learned about Geometer Sketchpad. We reviewed angle bisectors and talked about concurrency. There's no homework except to review 6-1 thru 6-3. We will start 6-4 on Monday.
Be Safe!
Thursday, January 29, 2009
It's Friday-Eve.
Well, tomorrow is Friday; that's right - homework is due! Luckily there is only one homework assignment due.
In Advanced Algebra, we reviewed 6-1 and used that information to discuss 6-2: Solving Quadratic Equations by Factoring. We know how to do it; it was done in Chapter 5. Now we are applying it. The homework is pg. 344 #15-24. Tomorrow, I will put up a video that shows the process of factoring a polynomial, should you have questions during the weekend.
In Geometry, we reviewed 6-2 and used the information from 6-1 and 6-2 to discuss
6-3: Rectangles. Using the theorems and definitions from the section, we were able to apply the distance formula and finding perpendicular slopes. These are the two methods used to justify if four points create a rectangle. The homework is pg. 311
#34-38. Tomorrow we will be in the library to use Geometer Sketchpad-some practice.
Be Safe!
In Advanced Algebra, we reviewed 6-1 and used that information to discuss 6-2: Solving Quadratic Equations by Factoring. We know how to do it; it was done in Chapter 5. Now we are applying it. The homework is pg. 344 #15-24. Tomorrow, I will put up a video that shows the process of factoring a polynomial, should you have questions during the weekend.
In Geometry, we reviewed 6-2 and used the information from 6-1 and 6-2 to discuss
6-3: Rectangles. Using the theorems and definitions from the section, we were able to apply the distance formula and finding perpendicular slopes. These are the two methods used to justify if four points create a rectangle. The homework is pg. 311
#34-38. Tomorrow we will be in the library to use Geometer Sketchpad-some practice.
Be Safe!
Wednesday, January 28, 2009
The Second Day of the Second Semester
Today in class:
Advanced Algebra worked 6-1: Solving Quadratic Equations by Graphing. The classwork was pg. 339 #16-19,22-42. You needed to use a graphing calculator with this assignment. We learned how to find the vertex,roots, & axis of symmetry with it. The homework was to review 6-1.
Geometry worked on 6-1: Parallelograms. The classwork was pg. 295-296 #17-34. You needed to review the theorems in 6-1 and concepts (distance formula & slope formula) to solve the problems. The homework was to review 6-2.
On Friday, we will be going to the Computer Lab in the Library for Geosketch Pad for 2nd, 3rd, and 6th hours.
Also, as promised here is the syllabus for both classes: Advanced Algebra and Geometry.
Chs Adva Sy2
Advanced Algebra worked 6-1: Solving Quadratic Equations by Graphing. The classwork was pg. 339 #16-19,22-42. You needed to use a graphing calculator with this assignment. We learned how to find the vertex,roots, & axis of symmetry with it. The homework was to review 6-1.
Geometry worked on 6-1: Parallelograms. The classwork was pg. 295-296 #17-34. You needed to review the theorems in 6-1 and concepts (distance formula & slope formula) to solve the problems. The homework was to review 6-2.
On Friday, we will be going to the Computer Lab in the Library for Geosketch Pad for 2nd, 3rd, and 6th hours.
Also, as promised here is the syllabus for both classes: Advanced Algebra and Geometry.
Chs Adva Sy2
Publish at Scribd or explore others:
Tuesday, January 27, 2009
The First Day Of The Second Semester
Hi, Everyone. I am posting several things today. The Problem of The Week; the assignments for the day. The next notebook check is February 13, 2009.
For Advanced Algebra, we are discussing 6-1: Solving Quadratic Equations by Graphing. We did an in-class activity. The homework is to review the material. We'll be discussing 6-1 tomorrow.
For Geometry, we are discussing 6-1 and 6-2: Parallelograms and their tests. We did an in-class activity. The homework is to review the material. We'll be discussing 6-2 tomorrow.
For Advanced Algebra, we are discussing 6-1: Solving Quadratic Equations by Graphing. We did an in-class activity. The homework is to review the material. We'll be discussing 6-1 tomorrow.
For Geometry, we are discussing 6-1 and 6-2: Parallelograms and their tests. We did an in-class activity. The homework is to review the material. We'll be discussing 6-2 tomorrow.
Wednesday, January 21, 2009
Finals Have Begun!
I hope you all are studying. Next semester there will be suddle changes. I will be posting a new syllabus by Friday for both Geometry and Advanced Algebra Classes.
Good Luck!
Good Luck!
Wednesday, January 14, 2009
The Big Push Is On !
Hello, Everyone. The big push is on. Mid Term exams are next week; study your math! Do problems over and over! Come with questions.
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