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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
Quiz – Special Right Triangles
Notes – Right Triangle Trigonometry (8.3)
Pizazz WS
Day 8:
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.