CME Geometry

the rest…

Chapter 5

• Graph paper needed from teacher resources• Patty paper also helpful• Neat to see the foreshadowing of calculus

5A

• 5.1 Using patty paper lets you count squares without drawing on the graph paper.

• 5.2 There is a blackline master to use for problems 5-10 pg 363. I recommend using it.

• 5.3 This apothem discussion is a nice way for kids to derive their own formula for area instead of just memorizing a formula. It is worth the time to allow this to happen.

5B

• 5.4 For you to Explore: Have them do #3 on the Nspire and also do #5, #6.

• 5.5 I just went for traditional A=πr². I also spent time with Additional Practice Problems sheet.

• 5.6 Just basic Circumference. I did problems #5, 6, 7 and Additional Practice Problems sheet.

5C

• These are the “classic” rules for circles. We were running short on time so we chose to teach these more directly using the “rules” and having them practice them. This allowed them to practice algebra. Good refresher. Look at the Additional Problems Sheet.

5D

• We skipped this.

Chapter 6

• It would be ok to skip 6A. • You could spend a couple of days doing

geometric mean if you wanted to have some algebra practice with the students.

• This is the chapter where trig appears. It is ok to teach the trig in the way you are most comfortable.

6BI spent quite a lot of time here

• 6.5 I had them do the ramp problem #1 pg.465 as a group.

• 6.6 I skipped this and probably shouldn’t have. I will re-visit this next time.

• 6.7 Here is where the trig is taught. I recommend doing the In-Class Experiment pg.474 (see outline from Carrie Ott) before introducing SOH CAH TOA, etc.

6B(cont)

• 6.8 This is very interesting and “fun” in a math way. It is a culmination of several previous ideas. I found it helpful to use colored pencils to color the different triangles.

I found the Additional Problems Sheet helpful.• 6.9 Here is the law of cosines. It is a great place

to practice algebra again. No proofs here for us!

6C

• We skipped this because we did volume in 3d.

Chapter 7We wanted to do more, but ran out of time.

• This is a fun and different way to end the year. It uses Nspires to draw and flip and rotate figures.

7A

• 7.1 Use patty paper for the in-class experiment. Do pg. 538 #2, #3

• 7.2 Use Nspire for pg. 541 I used the Practice 7.2 sheet for problems.

• 7.3 Easy to understand lessons. Some kids may still need help with graphing.

• 7.4 Rotations are fun and easy on the Nspire.

Midpoint/Distance

• We ended the year with the distance formula in both 2D and 3D and Midpoints in 2D and 3D. See 7.6 and 7.9