High School Math Guide

Secondary III & III H Unit Guides - Semester

Trigonometric Functions, Equations, and Identities

Unit 7

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 12 days ● Regular: 9 days ● Honors: 11 days

Explain

UTAH CORE STANDARD for MATHEMATICS III.F.TF.5 III.F.BF.3 III.F.BF.4a III.F.TF.3 HONORS: III.F.TF.7 III.F.BF.4c(+) III.A.REI.11 III.F.BF.5(+)

III.N.CN.10(+) III.F.TF.6(+) III.N.CN.3(+) III.N.CN.4(+) III.N.CN.5(+)

(+) Pre-Calculus Standard

III.F.IF.5 III.F.TF.2

III.F.IF.8

III.F.TF.4(+) III.F.TF.7(+)

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 7, students will be able to: ● identify components of trigonometric functions using correct math vocabulary such as: ○ amplitude, phase shift, vertical shift, period ● graph trigonometric functions ● use the unit circle to fnd tangent values for angles ● use the ratio of a trigonometric function to fnd the value of another trigonometric function

● use trigonometric ratios to verify the Pythagoeran Identity ● use the Pythagorean Identity to fnd trigonometric values ● use trigonometric functions to model contextual problems ● understand the relationship between the graphs of sine and cosine

HONORS: ● use the Double Angle Identity to identify key features of a function in any form ● use the Angle Sum Identity to fnd the sine/cosine of a new angle SCAFFOLDING IN ACTION

● Lesson 7.1: Launch - model the scenario using a fashlight and pencil, Explore - have students experiment with pencil and fashlight, provide sentence frames for discussion ● Lesson 7.2: Launch - 3 Reads/Word-Phrase-Sentence, Explore - use the graph of the function as tool for 3 - 4, provide sentence frames for discussion ● Lesson 7.3: Explore - provide sentence frames for discussion, provide geometry software to help students visualize the problems ● Lesson 7.4: Launch - Think-Pair-Share, Explore - use the alternative graphing activity, provide sentence frames for discussion ● Lesson 7.5: Explore - 3 Reads/Word-Phrase-Sentence, provide sentence frames for discussion

Skill Building

Priority Lessons

● Honors lessons 7.6, 7.7, 7.8, 7.9, 7.10 ● Ready for More?

Extension