High School Math Guide

Secondary I & I H Unit Guide - Semesters

Unit 5

Systems of Equations and Inequalities

PACING

KEY LANGUAGE USE(S)

Semester:

Explain

● Everyday: 22 days (teach in 2 units) ● Regular: 13 days ● Honors: 12 days

KEY STANDARD(S) I.A.CED.3 I.A.CED.2 I.A.REI.12 I.A.CED.4

HONORS: I.N.VM.6(+)

(+) Honors Pre-Calculus standard

I.A.REI.6 I.A.REI.5

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 5, students will be able to: ● identify how many solutions a system of linear equations has: one, infnite, or none ● graph all the solutions to a linear inequality and to a system of linear inequalities ● use substitution, elimination, and graphing to fnd solutions to a system of equations

● represent contextual situations with linear inequalities, linear equations, and systems of linear inequalities and linear equations and graphs; and then use those representations to analyze the situation by using correct math vocabulary such as: ○ linear combination, constraint, system of inequalities, viable/non-viable options, half-plane, linear function, compound inequality, solution set, elimination, substitution, inconsistent/independent

HONORS: ● use matrix row reductions to solve a system of linear equations SCAFFOLDING IN ACTION

● Lesson 5.1: Launch - 3 Reads/Word-Phrase-Sentence, 3-column 2 table graphic organizer to organize information, Explore - chunk information by presenting one question at a time ● Lesson 5.2: Launch - 3 Reads/Word-Phrase-Sentence ● Lesson 5.3: Launch - Think-Pair-Share, graphing technology like Geogebra, chunk the task by presenting one question at a time ● Lesson 5.4: Launch - Read aloud/sketchnotes, provide sentence frames for discussion, Explore - chunk the task by presenting one question at a time ● Lesson 5.5: Launch - provide sentence frames for discussion ● Lesson 5.6: Launch - graphing technology like Geogebra ● Lesson 5.7: Launch - large grid with labeled scales, ruler Explore - 3 Reads/Word-Phrase-Sentence ● Lesson 5.8: Launch - read aloud, Explore - sketchnotes, Discuss - t-chart graphic organizer ● Lesson 5.9: Launch - brainstorm with partner, Explore - sketchnotes, graphic organizer ● Lesson 5.10: Explore - provide sentence frames for discussion, Discuss - graphic organizer to record takeaways on for each type of system

Skill Building

Priority Lessons

● Honors Lessons: 5.11, 5.12

Extension