High School Math Guide

Secondary II & II H Unit Guide - Semester Unit 6

Similarity and Right Triangle Trigonometry

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 22 days ● Regular: 10 days ● Honors: 11 days

Explain

UTAH CORE STANDARD for MATHEMATICS II.G.SRT.1 II.G.SRT.2 II.G.SRT.4 II.G.SRT.3 II.G.CO.10 II.G.SRT.5 II.G.SRT.6 II.G.SRT.8 II.G.SRT.7 II.F.TF.8

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 6, students will be able to: ● show understanding of properties of dilation given a center and scale factor ● use similarity theorems to prove triangles are similar using correct math vocabulary such as: ○ AA similarity theorem, SAS triangle similarity, SSS triangle similarity, similarity, triangle similarity ● write trigonometric ratios given side measurements of a right triangle ● prove the Pythagorean Identity using correct math vocabulary such as: ○ Complementary angles, angle sum theorem, sin, cos ● solve right triangles using trigonometric ratios ● fnd missing measurements by using proportions created by parallel lines by transversals and parallel lines in similar triangles ● use trigonometry and Pythagorean theorem to solve problems in context SCAFFOLDING IN ACTION

● Lesson 6.1: Launch - read aloud, use real world examples of dilations, Explore - chunk the task by starting with #2, then do 1 and 3, then 4 - 5, successive partner shares, Discuss - Think-Pair-Share ● Lesson 6.2 - Launch - Think-Pair-Share, use Geogebra/Geometers Sketchpad, Explore - Successive partner shares ● Lesson 6.3: Explore - chunk the task by starting with 5 - 6, then do 7, then focus on 8 - 10 with discussion in between ● Lesson 6.4: Launch - co-craft questions about parallel lines, Explore - provide rulers, Discuss - colored pencils or highlighters to color-code line segments ● Lesson 6.5: Launch - review take-aways from congruent angles formed by parallel lines, Explore - use colored pencils to color-code quadrilaterals and pentagons ● Lesson 6.6: Launch - co-craft questions about the context, Explore - successive partner shares ● Lesson 6.7: Jump start - triangle manipulatives, chunk the task into smaller parts ● Lesson 6.8: Launch - Think-Pair-Share, graphic organizer for #3, Explore - successive partner shares ● Lesson 6.9: Launch - Think-Pair-Share, Explore - provide a reference sheet for inverse trig ratios ● Lesson 6.10: Launch - annotate 3-steps for each problem, Explore - chunk the task by choosing two problems from each section

Skill Building

Priority Lessons