Today in Class....Geometry!

We are talking about Corresponding Parts of Congruent Triangles are Congruent (CPCTC). This is chapter 4 section 3 of the book we are using. Go to www.flippedhighschool.com to see a video on the study guide of 4.3 in Geometry to review. Keep in mind that there are seven true statements about congruent triangles: 1) the statement of the two triangles being congruent (keep in mind the order is important), 2) there are three statements about the sides of the triangles, and 3) there are three statements about the angles of the triangles.

Here is a video about CPCTC:


Here is a nice video made for extra credit on CPCTC:


The chapter that we are in is about ASA, SSS, and  SAS.

Five Problems That Could Appear On The Quiz

These are some problems that could appear on the quiz. Keep in mind that all triangles add up to 180 degrees.

Here are some videos on solving for angles in a Triangle Problem

Here is a video on solving for the angles in an isosceles triangle.


Here is a video on the basics of an Equilateral Triangle.

Extra Credit Assignment due on January 6, 2014!

There is a song that is sang during Christmas Time, The Twelve Days of Christmas.
The lyrics are sung for each day and added on as the days to Christmas increase.
The lyrics are:

On the twelfth day of Christmas, my true love gave to me.

12 Drummers Drumming

11 Pipers Piping

10 Lords-a-Leaping

9 Ladies Dancing

8 Maids-a-Milking

7 Swans-a-Swimming

6 Geese-a-Laying

5 Gold Rings

4 Colly Birds

3 French Hens^[7]

2 Turtle Doves

And a Partridge in a Pear Tree.

So, for an extra credit assignment. A student may turn in 'The Twelve Facts of Geometry'. Using information from Chapters 1 thru 4, students can create a song, write a rap, create a power point, create a video, or some creative medium to proclaim twelve important facts from the four chapters. It must be as lyrical as the lyrics above or have some level of rhythm to it.

Homework for December 3rd!

From pg. 185 #36-41.
Copy each sentence. Fill in the blank with sometimes, always, or never.

36. Equilateral triangles are _____________________ isosceles.
37. Scalene triangles are _______________________ isosceles.
38. Right triangles are _________________________ acute.
39. Acute triangles are _________________________ equilateral.
40. Obtuse triangles are  _______________________ scalene.
41. Equiangular triangles are ____________________ acute.

Chapter 4 Begins with 6 Kinds of Triangles

Today in class, we discussed 3 different kinds of triangles in regards to their sides. We also discussed 3 different kinds of triangles in regards to their angles. We will do some explorations with the triangles in class tomorrow and Wednesday.

Here are some notes from the day.

A Video About Graphing a Perpendicular Line

 

Here is a video to help with parallel lines perpendicular lines.

Here's a good video about how to find parallel and perpendicular lines.



Here is a good video summarizing the type of angles formed when a transversal cuts a pair of parallel lines. For Sunday, I will post a video based more on the review packet that we didn't review well enough in class as I would have like to.

This video can help you make draw perpendicular lines. Just remember to find the slope of the first line using two points.

For example, (1,2) and (3,7). The slope of the line is (5/2) because, 7 - 2 = 5 and 3 - 1 = 2. Here's a video for perpendicular lines:


For parallel lines, know the slope of the original. Use the third point with the new slope. I will post something about this on Sunday.

Notes from today's class for tomorrow's quiz ...Part 1!

Notes from today about tomorrow's quiz...Part 2!

Here is a video on slopes of parallel and perpendicular lines!

Notes on Theorems 3.1, 3.2, 3.3 Part 2

Notes on Theorems of 3.1, 3.2, 3.3 Part 1

Angle Relationships Continued

Remember to use your white sheet tomorrow.

Alternate interior angles are congruent.
Alternate exterior angles are congruent.
Corresponding angles are congruent.
Adjacent angles form a linear pair.
Consecutive angles form a linear pair.

These all work because you have parallel lines cut by a transversal.

In Class Today.....Angle Relationships with Parallel Lines cut by a Transversal

Parallel Lines and Tranversals

Here is a video on "Parallel Lines and a Transversal". It goes along the tune of "Teach Me How to Doggie." A student created it from California for a class project. It is cool.



Make sure that you can define and draw a picture for the following terms:
transversal, exterior, interior, consecutive, alternate, corresponding, skew, parallel, diagram, slope, biconditional.

Here is a video another video on "Parallel Lines and a Transversal".


It is a more indepth video about section 3.1 and 3.2 in the textbook.

ACT Prep Notes on Absolute Value Linear Equations

Notes on Parallel Lines and Skew Stuff

Here are the notes on Angle Relationships from Nov 4, 2013

Chapter 2 Review

This week is our Chapter 2 assessment. I will be posting daily notes and questions, designed to get you thinking about what is to come the next day. Today we reviewed the basic elements on Chapter 2: Verifying Angle Relationships. Adjacent angles, Vertical angles and linear pairs. Adjacent angles are angles next to each other that share a common ray. Vertical angles are angles that are formed by the intersection of two lines. The opposite angles formed are congruent. There are two pairs of them. Linear pairs are angles that can be adjacent to each other, and are definitely, supplementary-and therefore, their sums equal to 180 degrees. Today we also discussed Section 2.1: Deductive Reasoning. For example, Radwa was preparing toast for breakfast. After a few minutes, the bread popped up but wasn't toasted. What possibilities are there for the bread not being toasted? Look at the video from Brightstorm - 'deductive reasoning' on YouTube. He explains deductive reasoning and inductive reasoning.

Since the district went Google, I have been out of commission.

Since the school year restarted, I was unable to get in. Now, thanks to the tech department at Clintondale, I am back in business. Starting next week, videos and more will be posted to help students and parents about what is happening in Geometry class at Clintondale High School.

Review of Chapter 8: Solving A System of Linear Equations

From class, we had the problem: 3x + (1/3)y = 10; 2x - (5/3)y = 35. So, multiply 3 to everything. So, 3(3x + (1/3)y = 10); 3(2x - (5/3)y = 35). Therefore, you have 9x + y = 30; 6x - 5y = 105, respectively. Now, multiply the first linear equation by 5:5(9x + 5 = 30). So, 45x + 5y = 150; 6x - 5y = 105. Add them, and you get, 51x = 255. Therefore, x = 5. Using the second equation, plug in 5 for x. So, 3(5)+(1/3)y = 10. Therefore, 15 + (1/3)y = 10. Solve for y. So, (1/3)y = -5. Then, multiply each side by 3. So y = -15. QED

Carbon Dating - Exponential Relationship

AI tried to show a Star Trek clip, but couldn't get it. So here is a clip from Numb3rs about carbon dating.

Solving a Three Variable System of Equations

Here is the problem from class: a + b + c = 5, 2a + 3b + c = 10, 4a - b + c = 9. So, solve for c in the first equation. c = 5 - a - b. So, substitute the equation of c into the other equations. 2a + 3b + 5 - a - b = 10, 4a - b + 5 - a - b = 9. So, simplify the equations. a + 2b = 5, 3a - 2b = 4. So through elimination, add the equations. 4a = 9, therefore a = 2.5. So let's use two equations: a + b + c = 5, 4a - b + c = 9. So through elimination, add the equations. 5a + 2c = 14, and since a = 2.5, 5(2.5) + 2c = 14, 12.5 + 2c = 14, 2c = 1.5 and therefore, c = .75. So, a + b + c = 5 with the values of a and c, look like: 2.5 + b + .75 = 5. Solve for b. b = 1.75. Check your work and the values add up to 5.

Hey, 8th Graders...Solving Linear Equations by Graphing

The first video helps you set up the problem. The next video helps you solve for y. To find the intersection point, we have been using the graphing calculator. Remember that y min and x min is zero. The y max and x max is higher than the highest y-intercept in your problem.

Honors Algebra: Solving An Equation by Grouping

Hi, everyone. I found this video on YOUTUBE!

Honors Algebra Extra Credit is due April 8, 2013

Remember that: Area of a circle is (pi)x(radius)squared; Area of a rectangle is (length)x(width); Area of a triangle is .5(base)x(height); Perimeter of a rectangle is 2(length) + 2(width) Watch the video on solving a geometry problem. Do pg.585 #49-51. Copy the pictures, show your work, answer the problem. Now after completing that, solve this next problem. You have a rectangular yard whose area is x squared plus 32x plus 231. What are the dimensions of the rectangular yard? What if you knew that x equaled 10, what are the dimensions of the yard and the area of the yard? Turn in all of your work, neatly, on April 8, 2013.

8th Grade Extra Credit is due April 8, 2013

1. Find a relative that has a cell phone. Ask them about the initial cost of the cell phone and the charge per minute. Create an equation based on the information calling it C, in the form: C = mx + b. Find a different relative that has a cell phone. Ask them about their initial cost of the cell phone and the charge per minute. Create a second equation based on the information calling it C'', in the form: C'' = mx + b. 2. Watch the video below. 3. Just as we did in class, set the two equations equal to each other, find the value of x (in minutes). 4. Now, take that value of x and plug it into C or C'' to get the cost. 5. Create a graph and graph the two equations similar to Mr. Taylor's sample problem. Watch the video below for an idea of what to do.

7th Grade Ex Cr due April 8, 2013

1. Re read pg. 5 1.1 Walking Marathons and pg. 6 Problem 1.1 Finding and Using Rates. 2. Go outside. You are about to model the activity we did in class two weeks ago. Measure off a section of land or sidewalk. Record the distance (in units). Ask a friend to help you. Obtain a stopwatch (or some way to measure seconds). Record the time it takes to do from section to the far end of the section while walking. Now, repeat the process while running. 3. Now, watch the video below to figure out the next part of your extra credit. 4. Answer the following questions, remember D = r(t) or M = r(s): a) If you were walking at your rate, how far did you travel in 30 seconds? If you were running at your rate, how far did you travel in 30 seconds? b) If you were apart of a walkathon and charged $5 per unit you walked, how much money would you get if you walked for 60 seconds? How much money would you get if you ran for 60 seconds?

Hey, 8th Graders...This will help with graphing!

This week and after spring break....we will be graphing the solutions to a system of equations. Next week I will post a review problem to be turned in for extra credit. Here is a video on converting standard form equations to slope-intercept form equations.

Honors Algebra - Factoring ATrinomial

Here is an in depth video on factoring a trinomial by Khan Academy. Enjoy!

Solving Linear Equations on Both Sides of Equal Sign

So here is a nice video by Khan Academy to illustrate solving equations on both sides of the equal sign.

Hey, Algebra Class...Elimination Method!

This week in class....

Hello, everyone! This week we have been discussing Solving a System of Linear Equations in Algebra Class. Here is a video on Solving a System of Linear Equations using the substitution method. In class we are doing problems similar to pg. 466 #10-15 in our text. In 7th grade, we are following the algorithm: Start Change End with integers applying it to temperature. For example: Start with 6, change with -15, and end with -9. That is, 6 + -15 = -9. In the regular 8th grade, we are reading graphs and tables to identify linear, quadratic, or other functions. For example: x = {1,2,3,4,5,6} and y = (8, 20, 36, 56, 80, 108} The change in x is +1. The change in y is +12, +16, +20, +24, +28. The second change in y is +4, constantly. So the function with this x and y values is quadratic.