BHS Math Guide

Secondary III & III H Unit Guides - Trimester

Unit 5 Modeling with Geometry

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 18 days (teach in 2 units) ● Regular: 12 days ● Honors: 12 days

Explain

UTAH CORE STANDARD for MATHEMATICS

III.G.GMD.4 III.G.MG.1 III.G.MG.2 III.G.MG.3

III.G.SRT.11 III.G.SRT.10 III.G.SRT.9

HONORS:

III.G.GMD.2(+)

(+) Pre-Calculus Standard END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 5, students will be able to: ● describe the resulting fgure when a 2-dimensional plane intersects with a 3-dimensional object using either words or a picture ● describe the resulting fgure when a 2-dimensional plan is rotated around an axis using either words or a picture ● calculate the volume of 3-dimensional objects ● calculate population density ● use special right triangles to solve problems in context ● use Law of Sines and Law of Cosines to fnd missing measures of triangles

Honors:

● Understand Cavalieri’s Principle ● Use Cavalieri’s Principle to fnd volume of solid fgures SCAFFOLDING IN ACTION

● Lesson 5.1: Launch - provide access to modeling clay to help student visualize the shapes ● Lesson 5.2: Launch - use this video to help students visualize the 3-dimensional object, Think-Pair-Share, provide sentence frames for discussion, Explore - bring concrete objects mentioned in narrative for students to manipulate ● Lesson 5.3: Launch - critique and clarify peer defnitions of frustum, Explore - review formulas for volume, provide graphic organizer with explicit steps to fnding volume of complex shapes ● Lesson 5.4: Jump start - provide sentence frames for discussion, Launch - 3 Reads/Word-Phrase-Sentence, annotate defnition, Explore - provide graphic organizer to help with unit conversion ● Lesson 5.5: Launch - Think-Pair-Share ● Lesson 5.6: Explore - provide sentence frames for discussion, provide a list of triangle formulas ● Lesson 5.7: Explore - chunk the task 1 - 3 discuss 4 - 6 discuss 7 - 9 discuss ● Lesson 5.8: Explore - provide sentence frames for discussion

Skill Building

Priority Lessons