Ch 8 Right Triangles and Trigonometry



Ch 8 Right Triangles and Trigonometry

For this unit, you need to be able to:

- simplify radicals (without a calculator)

- multiply and divide radicals ( including rationalizing denominators)

- use the Pythagorean Theorem to solve problems

- Use properties of “special” right triangles to solve problems

- Use trig ratios to find missing sides and angles of right triangles

- Apply trigonometry to solve real-world problems

- Use the Law of Sines to solve non-right triangles

- Use the Law of Cosines to solve non-right triangles

Assignments:

(not carved in stone but should give you an idea for planning purposes)

Day 1: Behavior Syllabus, general information

Notes – Simplifying Radicals

Practice WS – Simplifying Radicals

Day 2: Notes – Multiplying and Dividing Radicals

Practice WS – Multiplying and Dividing Radicals

Day 3: Radicals – Mixed Practice, in groups on whiteboards

Review WS – Radicals

*Extra Credit Opportunity – Radicals Triangle Puzzle* Due:

Day 4: Discuss Radicals Review WS

Notes – The Pythagorean Theorem and its Converse (8.1)

Pg. 495 7-26, 34, 36-38

Day 5: Quiz – Simplifying Radicals

Pythagorean Theorem Practice Problems (WS, 20 points)

Day 6: Notes – Special Right Triangles (8.2)

Practice WS – Special Right Triangles

Day 7: Practice – Special Right Triangles

Pg. 503 7 – 28, 34, 35

Turnover Cards

Day 8: Quiz – Special Right Triangles

Notes – Right Triangle Trigonometry (8.3)

Pizazz WS

Day 9: Practice, Right Triangle Trigonometry

Right Triangle Trig WS + Pg. 510 14-28

Day 10: More Practice, Right Triangle Trigonometry

Activity – Right Triangle Trig

Turnover Cards (for practice/review at home)

Day 10: Notes – Angles of Elevation and Depression (8.4)

Practice WS – Angles of Elevation and Depression (with a partner)

Day 11: Measurement Activity (outside) – Angles of Elevation and Depression

Pg. 519 22, 23, 33, 34

Balloon Problem

Day 12: Right Triangle Trig Quiz

Notes – Law of Sines (8.5)

Practice WS 8.5 + Pg. 525 12, 13, 14, 16

Day 13: Notes – Law of Cosines (8.6)

Practice WS 8.6 + Pg. 530 15 – 18, 23

Day 14: Triangle Challenge

Ch 8 Review Part 1

Law of Sines/Cosines Take-Home Quiz

Day 15: Review – Right Triangles and Trigonometry (game)

ACT/Quality Core Questions

Day 16: Review – Right Triangles and Trigonometry (in groups, on whiteboards)

Day 17: Test – Right Triangles and Trigonometry

Start Transformations notes

*As you can see, this is a big unit. You will see these topics on the PLAN Test, the ACT, and again in Pre-Calculus and Calculus. If you need extra help, take advantage of math tutorial time and the internet.

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