High School Math Guide

Secondary II & II H Unit Guide - Semester Unit 8 Circle, Angles, and Shapes

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 15 days ● Regular: 7 days ● Honors: 7 days

Explain

UTAH CORE STANDARD for MATHEMATICS

II.A.SSE.1 II.G.GMD.1 II.G.C.5 II.G.GMD.3

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 8, students will be able to: ● Find the volume of cones and spheres and analyze the answer in the context of the problem ● Find missing measure of various polygons ● Find the volume of prisms ● Derive the area of a sector, arc, arc length and the radian measure of an angle ● Use the area of a circle to fnd the area of a polygon ● Use arc length to defne radian measure using correct math vocabulary: ○ Π , radians, arc, radius, factor SCAFFOLDING IN ACTION

● Lesson 8.1: Jump start - review right triangle trigonometry and Pythagorean theorem, Launch - use visuals to clarify context, Explore - chunk the problem by having students choose either the octagon or decagon ● Lesson 8.2: Launch - use colored pencils to color-code each piece of the formula, Explore - directions for calculator ● Lesson 8.3: Launch - read aloud the context and come up with questions to ask, chunk the task by starting with the two round pie tins frst ● Lesson 8.4: Jump start - Think-Pair-Share, read aloud, sketchnotes, Explore - chunk the task by flling out the 40° column frst, then 60°, then 120° ● Lesson 8.5: Jump start - Think-Pair-Share, Explore - chunk the task by focusing on 1-4, then 5-6, then 7-8, with discussion in between consider starting with 7-8 ● Lesson 8.6: Launch - read “Sand Castles” aloud, use contextual visuals, Explore - chunk the task by presenting a few problems at a time with discussion in between, Discuss - Think-Pair-Share ● Lesson 8.7: Launch - read aloud, Explore - chunk the task by presenting a few problems at a time, break the problems into smaller steps

Skill Building

Priority Lessons

Ready for More?

Extension

RESOURCES

● Unit 8 OUR Online Resources ○ Regular teach 8.5 ○ All skip 8.8, 8.9

● Unit 8 Homework Help Videos for Students