High School Math Guide

Secondary II & II H Unit Guide - Semester

Circles: A Geometric Perspective

Unit 7

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 11 days ● Regular: 5 days ● Honors: 5 days

Explain

UTAH CORE STANDARD for MATHEMATICS II.G.C.2 II.G.C.1 II.G.C.3 II.G.C.4 II.G.CO.9 II.G.SRT.2 II.G.SRT.8

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 7, students will be able to: ● Identify the characteristics of inscribed angles and intercepted arcs ● Justify measurements of circumscribed angles and the associated central angle using correct math calculations ● Find lengths of line segments, arcs, and angles using properties of tangents ● Identify features of circle and their relationship with other geometric fgures and justify why they work using correct math vocabulary such as: ○ Vertical angles, alternate interior angles, radius/radii, vertex, tangent, inscribed, diameter, hypotenuse, scale factor SCAFFOLDING IN ACTION

● Lesson 7.1: Launch - read aloud, Explore - provide patty paper, compass, Geogebra/Geometer’s Sketchpad, Discuss - graphic organizer with diagrams drawn or description written ● Lesson 7.2: Launch - Think-Pair-Share, experiment with several examples with geometry software to fnd the scale factor ● Lesson 7.3: Launch - Geometer’s Sketchpad/Geogebra, Explore - chunk the task by presenting one problem at a time ● Lesson 7.4: Launch - Geometer’s Sketchpad/Geogebra, Explore - successive partner share, Discuss - Think-Pair-Share ● Lesson 7.5: Launch - Notice and Wonder, Explore - 3 Reads/Word-Phrase-Sentence

Skill Building

Priority Lessons

Ready for More?

Extension

RESOURCES

● Unit 7 OUR Online Resources

● Unit 7 Homework Help Videos for Students

LEARNING INTENTIONS AND SUCCESS CRITERIA ● Lesson 7.1: Centered! - Develop Understanding

○ LI: I am developing my understanding of center of rotation so that I can find the center of rotation