Thursday February 26 - REVIEW FOR QUIZ

Tomorrow's quiz will be on cross multiplying and parallel lines with transversals. 



Cross Multiplying Steps


         x + 1          2
         ____   =  ____

         12             3

- Circle the unknown (x+1)
- Multiply the diagonals (12 x 2 = 24)
- Divide by the other number (24 divided by 3 = 8)
- So if the unknown is 8, then x+1  =  8
- Which means x must be 7
x = 7



















Names of Angles:

< 1 and < 3 are VERTICALLY OPPOSITE
< 2 and < 4 are VERTICALLY OPPOSITE
< 5 and <7  are VERTICALLY OPPOSITE
< 8 and <6  are VERTICALLY OPPOSITE

< 1 and < 5 are CORRESPONDING ANGLES
< 2 and < 6 are CORRESPONDING ANGLES
< 4 and < 8 are CORRESPONDING ANGLES
< 3 and < 7 are CORRESPONDING ANGLES

<1 and < 2 are SUPPLEMENTARY  ( add up to 180)
< 8 and < 7 are SUPPLEMENTARY ( add up to 180)

< 4 and < 3 are INTERIOR SUPPLEMENTARY ( add up to 180)
< 5 and < 6 are INTERIOR SUPPLEMENTARY ( add up to 180)

< 1 and < 7 are ALTERNATE EXTERIOR ANGLES
< 2 and < 8 are ALTERNATE EXTERIOR ANGLES

< 4 and < 6 are ALTERNATE INTERIOR ANGLES
< 5 and < 3 are ALTERNATE INTERIOR ANGLES

Monday February 23 - HOMEWORK

Assignment: Name all 9 angles on the last page of your homework package
 (we said 8 in class, I noticed there are actually 9)

Details/Hints:

The class notes on naming angles can be found below (in the next blog post).

Angles should be named using 3 letters, the MIDDLE letter is where the angle is at (also called the vertex)

Tip: You can number your angles and then name them. 

For example, Angle 2 is <ACB (<BCA is also correct)

Hint: Some of them have more than one correct answer. Angle #3 could be called <ACD or <ACE  (or  either of those backwards... <DCA or <ECA)

Due: Tomorrow (Tuesday) in class

**I will be here by 7:15am if anybody wants to come see me. You can also email me any time**

Monday February 23 - CLASS NOTES

Here are the notes from today on NAMING ANGLES

Friday February 20 - CLASS NOTES

Here are the class notes from Friday's lesson on triangles.

Thursday February 12 HOMEWORK

Assignment: Homework 12 (p.433-434)


Details (including sentence starters!)
If you're not sure how to do the homework from the book, use my version of the questions. The questions are in bold and sentence starters are in italics. When there is a choice (like/this) you have to pick one.

1. Why must the two other angles of a right triangle be acute (less than 90 degrees)?
A triangle has a total of 180 degrees, so if one angle is 90...

2. Why do you think right triangles are considered important?
Right triangles are important because we use them in every day life.... (give example of something in real life that has a right angle)

3. What statements can you make about how the lengths of the sides of a right triangle compare to each other?
Draw a right triangle. How do the legs compare to the hypotenuse?
The legs of a right triangle are (longer/shorter) than the hypotenuse. If you combine the two legs, that length is (longer/shorter) than the hypotenuse. (If you notice anything else, please include it)

4. Draw a right triangle. Measure the legs and then draw one with legs twice as long. 
a) how does the hypotenuse compare?
The hypotenuse of the second triangle is (longer/shorter) than the hypotenuse of the first. (How much longer/shorter?)

b) How do the acute angles of the 2 triangles compare?
The two acute angles in the first triangle measure ___ and ___, the acute angles in the larger triangle measure ___ and ____. 

c) What do the answers from 4a and 4b tell you about the two triangles?
The side lengths of the two triangles are __________ and the angles are ___________

5. Draw a right triangle with acute angles of different sizes (use: 90 degrees, 30 degrees, 60 degrees)

Which leg is longer, the one opposite (across from) the bigger angle or the one adjacent (next to) the bigger angle?
The longer leg is the one that is  (opposite/adjacent) from the 60 degree angle. 

6. Is it possible for a right triangle to be isosceles? Equilateral? 
A right triangle (can/cannot) be isosceles because two of it's sides (can/cannot) be the same length.
A right triangle (can/cannot) be equilateral because all of it's sides (can/cannot) be the same length. 

Due: Tuesday in class
Reminder! Your final draft of the POW is also do in class on Tuesday

Monday February 9 HOMEWORK

Assignment: Homework 10 (p.426-427)

Details: make ratios to solve for the missing numbers (be sure to label your ratios either big/small or small/big)

Due: Tomorrow in class

Friday February 6 POW homework

Assignment: POW 17 (p.420-p.421)

Details: 

1. Problem Statement: Re-write the problem (italics on bottom of p.420) in your own words. Make sure to add that we are working with circles and looking for patterns.

2. Process
a) What did we do?
b) Include at least one page of circle drawings (if you lost yours from class, make more)

3. Solution
a) Include your In-Out Table from Tuesday night's homework (if you lost it, make a new one). Make sure to go all the way up to 10 cuts.
b) Explain the pattern you found in the In-Out Table
c) How many pieces can you get from 10 cuts?
d) How did you figure out c?

4. Evaluation: Did you like the project? What did you learn from it? Ask at least one question about this project.

Due: ROUGH DRAFT is due Monday February 6 in class.

Grading: You get 10/10 for the rough draft if you answer all the parts, even if the answers are wrong. If you do it all and forget it at home, you get 0/10

Thursday February 5 HOMEWORK

Assignment: p. 423 in your textbook. Find a counter-example for each of the 3 statements (if possible)

Details:  For each of these statements, you need to try and draw an example that proves it wrong.


Statement 1 - If two triangles have their corresponding angles equal, then the triangles are similar. 
** Try to draw 2 triangles with the same angles as each other, that are NOT the same shape**



Statement 2 - If two triangles are both isosceles, then the triangles are similar. 
** Try to draw 2 isosceles triangles (isosceles means 2 sides are the same length) that are NOT the same shape**



Statement 3 - If two triangles have their corresponding sides proportional, then the triangles are similar. 
**Try to draw 2 triangles with proportional (or same length) sides, that are NOT the same shape**



Hint: you will only be able to get a counter-example for Statement 2, but draw examples for the other statements too.

Due: Tomorrow (Friday) in class

February 3 HOMEWORK

Assignment: Copy this IN-OUT table, look for a pattern and fill in the missing numbers

Hint: Look at how much you are adding to each number in the OUT column.
You start with 2 then you  +2 to get 4. Then you +3 to get 7. Then what? How much do you add to 7 to get 11? Look for a pattern and keep going...

Due: Thursday February 5 in class

Monday February 2 HOMEWORK

Assignment: Draw a triangle that is similar to triangle ABC that I gave you.  Name the new triangle using any 3 letters.

Instructions: Measure the angles and side lengths of triangle ABC. Draw a new triangle that is either bigger or smaller, but similar. That means do not change any angles, and multiply or divide all the side lengths by the same number.  

If you want to make your new triangle bigger, multiply all the side lengths by the same number. If you want the new triangle to be smaller, divide all the side lengths by the same number. 

When you are done, label your new triangle. 

Due: Tomorrow (Tuesday) in class. 

Please email me or come see me if you need help.

The class notes from today are in the next post. 

Monday February 2 CLASS NOTES

Here are the notes from today's class