High School Math Guide

Secondary I & I H Unit Guide - Semesters Unit 8

Connecting Algebra and Geometry

PACING

KEY LANGUAGE USE(S)

Semester:

Explain Argue

● Everyday: 10 days ● Regular: 6 days ● Honors: 9 days

KEY STANDARD(S)

I.G.GPE.7 I.G.GPE.5 I.G.GPE.4

HONORS: I.N.VM.1(+) I.N.VM.2(+) I.N.VM.3(+) I.N.VM.4(+) I.N.VM.5(+)

I.N.VM.8(+) I.N.VM.9(+) I.N.VM.10(+) I.N.VM.11(+) I.N.VM.12(+)

(+) Pre-Calculus standard

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 8, students will be able to: ● use the Distance and Midpoint formulas to fnd measurements of various geometric shapes in the coordinate plane ● prove statements about quadrilaterals using correct mathematical vocabulary such as: ○ midpoint, right angle, perpendicular, parallel, opposite reciprocal, slope, congruent ● write the equation for parallel and perpendicular lines, graph them, and explain why they are parallel or perpendicular using correct math vocabulary such as: ○ slope, opposite reciprocal, y-intercept HONORS: ● identify and model arithmetic properties for matrices ● identify the multiplicative inverse and multiplicative identity of a matrix ● explain why the determinant of a matrix is important using correct math vocabulary such as: ○ Determinant, inverse, inverse matrix ● use vector notation ● perform operations on vectors SCAFFOLDING IN ACTION

● Lesson 8.1: Explore - successive partner share ● Lesson 8.2: Launch - Think-Pair-Share, Explore - chunk the task by breaking each question into smaller parts, Discuss - color code the illustrations to match the formulas

Skill Building

Priority Lessons

● Lesson 8.3: Explore - have students draw concrete diagrams ● Lesson 8.4: Launch - successive partner share about quadrilatera ls

● Honors Lessons: 8.5, 8.6, 8.7, 8.8 ● Ready for More?

Extension

RESOURCES

● Unit 8 OUR Online Resource

● Unit 8 Homework Help Videos for Students

○ Regular skip lessons 8.5, 8.6, 8.7, 8.8, 8.9, 8.10