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!
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