High School Math Guide

Secondary III & III H Unit Guides - Semester

Unit 6 Modeling Periodic Behavior

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 20 days (teach in 2 units) ● Regular: 10 days ● Honors: 9 days

Explain

UTAH CORE STANDARD for MATHEMATICS III.F.TF.5 III.F.TF.2 III.F.BF.3 III.F.TF.1 III.F.IF.4 III.F.IF.7e III.F.TF.3

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 6, students will be able to: ● identify characteristics of sine/cosine on the the unit circle

● fnd measurements of angles on the unit circle ● write trigonometric equations from a graph ● graph trigonometric equations ● understand properties of angles of rotation in radians ● identify key features of trigonometric equations and graphs in context using correct math vocabulary such as: ○ sine/cosine, amplitude, period, midline SCAFFOLDING IN ACTION

● Lesson 6.1: Launch - 3 Reads/Word-Phrase-Sentence, Explore - provide sentence frames for discussion ● Lesson 6.2: Explore - provide sentence frames for discussion ● Lesson 6.3: Launch - Think-Pair-Share, Explore - 3 Reads/Word-Phrase-Sentence, provide sentence frames for discussion ● Lesson 6.4: Launch - Think-Pair-Share, provide larger grid with axis labeled, Explore - provide sentence frames for discussion ● Lesson 6.5: Jump start - provide sentence frames for discussion, Explore - provide sentence frames for discussion, provide larger grid with axis labeled ● Lesson 6.6: Launch - 3 Reads/Word-Phrase-Sentence, use string to model the radius, use a larger diagram of the two circles, Explore - provide sentence frames for discussion, 3 Reads/Word-Phrase-Sentence ● Lesson 6.7: Launch - Think-Pair-Share, read aloud and present context visuals, Explore - 3 Reads/Word-Phrase-Sentence, chunk #4 into 3 parts: Javier’s, Veronica’s, Alyce’s ● Lesson 6.8: Jump start - Notice and Wonder, Explore - provide sentence frames for discussion ● Lesson 6.9: Jump start - divide students into groups and assign each group a problem, Launch - 3 Reads/Word-Phrase-Sentence, Sketchnotes,

Skill Building

Priority Lessons

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Extension