1. Chapter 6 More Right Triangles
Students will continue to study the similarity and side ratio relationships of right triangles. Students will understand more properties of special right triangles.

2. Students will extend their understanding of previously learned topics.
Sections 6.2
Students will extend their understanding of previously learned topics.

3. Portfolio Section
This entire section is problems that summarize and culminate previous information for the previous chapter
What you will need for each section
What we do in class written neat and organized, making sure you answer the questions – rewrite to hand in
The continuation problem form the book or other sections – showing all work that supports answers
Answer the following questions (may add questions from the book)
What past ideas did you use?
What new ideas did you use?
What was easy or difficult? Explain.
What would you change about this problem?

4. How can I model it: The Tennis Problem
Section 6.2.1
How can I model it: The Tennis Problem
Students will use properties of triangles to solve problems related to tennis. Students will use similar triangles to help solve for sides and trig rations to help solve for angles.

5. Group work
6-48 Read through this problem What do you know? What are you trying to find? How would you get started? In order to really solve this look at the next 2 sections 6-49 Draw a picture of the top view – label what you know Think of where she is serving from and where the ball is going to hit What do you notice? Can you do any calculations

6. Continues work
6-50 Draw a side view – label what you know What are you going to use from the first problem to do the second What do you notice Answers to this problem Ball must be at least 8.57 feet in the air and angles is between 7.5 and 8.1 depending on where the server stands 6-51 Additional information – this is possible if you take into account her height, arm length, racquet length and jumping

7. Portfolio What you should have from in class part 1
Picture of top view and calculations for hypotenuse of triangle and distance to net
Pythagorean thrm
Similar Triangle proportions
Picture of side view and calculations of height of ball and angle it hits ground
Similar Triangles proportions
Trig ratios
3. Answer original 3 questions
what is height of ball
what is angle with ground
can she actually hit the ball

8. Continuation
Addition to portfolio 6-52 – what is the new height of the net What do you know? What do you need to find? What can you use from the previous problem to do this problem?

9. What relationship can I use: Angles in a pool table
Section 6.2.2
What relationship can I use: Angles in a pool table
Students will use angle properties to determine how to hit balls on a pool table (Triangles).

10. Angles in a Game of Pool
Incoming angle Angle the ball approaches the rail, angle between rail and path Outgoing angle angle the ball leaves the rail, angle between the rail and the path These angles are congruent Try worksheet using these angles What can you tell about the triangles that are formed

12. Group Work
6-59 pg 341 Each group get a paper with the pool table on it from front table Get a box from the back table has protractors Label what you know What are they asking you to do Use what we talked about on the worksheet to help with this problem What did you notice about the triangles formed and the angles, how can you use this

14. If time
Work through 6-61

15. Portfolio Picture of the pool table with dimensions labeled
Directions on how you determined where to hit the ball to get it to go into the pocket mark
Any calculations you used to get these answers
Similar triangles
Trig Ratios

16. Continuation
6-60 Additional pool table problems Use similar triangles to help predict shots Copies of these pool tables are on the website

17. What is the shortest distance
Section 6.2.3
What is the shortest distance

18. Group Work
6-68 What are key ideas you learned and used

19. Portfolio Picture of original set up
How did you use the picture to get ideas of distance
What lengths did your group come up with
What was the shortest distance you created
2. New picture
Similar triangles
Set up and solve proportion
3. How does this compare to original guess

20. Continuation
6-70 Think outside the box You can’t take a shortcut through either object Think of the net of the figure Do I need to stay on the edges?

21. How can I analyze it to make a decision
Section 6.2.6
How can I analyze it to make a decision

22. Group Work
6-97 pg 357 Read through the problem What do you think Lee should do and explain your answer 6-98 Do this experiment and come up with the data Sheet on back table to collect data for group

23. Data Gathered
Win by keeping door Win by changing door

24. Portfolio What was your original guess and explain
Groups data from game
Classes data from game

25. Continuation Pg 358 6-99 What does the data tell you explain
Explain why it is better to switch
Next problem with 4 doors

26. Due date
Portfolio will be discuss in class on Mon 19th/Tues 20th and can be handed in Will be due no later than Wed 21st/Thurs 22nd Days and dates per class period