PreCalculus

Unit 1: Review of Functions and Triangular Trigonometry

Date Topics and Concepts Homework

Tuesday 25 August 2009 - A

Wednesday 26 August 2009 - E

Introductions. Master Designer exercise and debrief. Review of the families of functions using group work.

Class notes (A Block).

Read Chapter 1 Sections 4 and 6.

Do pp 48 - 50: 1, 2, 26, 28, 59, 61

Do pp 71 - 72: 3, 53 - 59 (only naming the parent function)

and Biography.

Thursday 27 August - A

Friday 28 August - E

Go over family of functions group work and homework in groups. Brief review of transformations of functions - do worksheet "Transform This!". Domain and range of transformed functions.

Class notes (A Block).

Read Chapter 1 Section 7

Do pp 79 - 82: 6, 12, 24 (a and b only), 29 (a and b only), 40 (a and b only), 61, state domain and range for functions in #12.

Monday 31 August - A

Tuesday 1 September - E

Go over homework in groups. Do right triangle review worksheet in groups. Review Pythagorean Theorem; sine, cosine and tangent ratios; special right triangles 30°-60°-90° and 45°-45°-90°; solving for a side in a triangle; and solving for an angle in a triangle.

Class notes (A block)

Read Chapter 4 Section 3 (pp 301 - 308).

Do pp 308 - 310: 5 (sin, cos and tan only), 13 (sin, cos and tan only), 27abc, 54, 61, 62, 65, 67 and problems on worksheet.

Wednesday 2 September - A

Thursday 3 September - E

Go over homework. Group exploration of general formula for the area of a triangle. Exploration of ratio of the sine of an angle and the length of the opposite side. The Law of Sines.

Class notes (A Block)

Read Chapter 6 Section 1, only pages 430 - 431 and 434 - 435.

Do pp 436 - 437: 1 - 7 odd, 30, 35, 42, 44.

Quiz on families of functions, transforming functions and right triangle trig.

Friday 4 September - A

Tuesday 8 September - E

Quiz on families of functions, transforming functions and right triangle trig. Exploration of the ambiguous case of the Law of Sines.

Class notes (A Block)

Finish reading Chapter 6 Section 1 (pages 431 - 434).

Do pp 436 - 438: 19, 22, 23, 25, 26, 41.

Do p A21 (in appendix): 63a, 70a, 79, 80.

Wednesday 9 September - A

Thursday 10 September - E

Warmup on the ambiguous case of the Law of Sines (solutions). Motivation/exploration of the Law of Cosines (SAS case). Applications.

Class notes (A Block)

Read Chapter 6 Section 2 (pp 440 - 441).

Do pp 443 - 445: 3, 4, 15, 31, 40, 41, 48.

Short quiz on Law of Sines.

Friday 11 September - A

Monday 14 September - E

Short Quiz on the Law of Sines. SSS case with the Law of Cosines. Using both the Law of Sines and the Law of Cosines to solve any general triangle. More applications via worksheet.

Class notes (A Block)

Finish reading Chapter 6 Section 2 (p 439 - 441).

Do pp 443 - 445: 1, 2, 6, 33, 34, 37, 47.

Tuesday 15 September - A

Wednesday 16 September - E

Wrap up and review Unit 1. Finish going over worksheet from last class.

Class notes (A Block)

Review Packet.

Thursday 17 September - A

Friday 18 September - E

Test Unit 1 Worksheet on arc length and area of a sector.

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