High School Math Guide

Secondary II & II H Unit Guide - Semester Unit 3 Solving Quadratic Equations

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 26 days (teach in 2 units) ● Regular: 15 days ● Honors: 14 days

Explain

UTAH CORE STANDARD for MATHEMATICS II.A.REI.4 II.A.REI.7 II.A.CED.1

II.N.CN.9 II.N.CN.2 HONORS: II.N.RN.1 II.A.REI.11 II.N.CN.3(+) II.N.RN.2 II.A.CED.3 II.N.CN.4(+) II.N.RN.3 II.N.CN.5(+) II.N.CN.1 II.A.REI.8(+)

II.A.REI.9(+)

II.N.CN.7 II.N.CN.8

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 3, students will be able to: ● understand the difference between zeros of a quadratic function and the solutions of a quadratic function ● solve quadratic functions and equations using different methods ● perform operations on complex numbers

● write the equation of a quadratic function in different forms ● use quadratic equations to solve contextual problems

Honors: ● fnd the conjugate of complex numbers

● use the conjugate to perform operations on complex numbers ● rewrite a system of linear equation in matrix form as AX = B ● solve a system of linear equations using matrices ● use the determinant to determine whether an inverse exists ● use the augmented matrix method to fnd A -1 ● use matrix algebra to solve AX = B SCAFFOLDING IN ACTION

● Lesson 3.1: Explore - divide #8 - 11 among small groups and have them solve and present ● Lesson 3.2: Launch - create anchor charts for different formulas and post around the room, Explore - chunk #5 - 8 by breaking them down into parts ● Lesson 3.3: Explore - provide sentence frames for discussion, Discuss - partially completed graphic organizer on takeaways ● Lesson 3.4: Jump start - Which One Doesn’t Belong? Launch - compare and contrast Explore - review the 3 forms of a quadratic equation, discuss after problem 6, ● Lesson 3.5: Explore - have students choose one + and one - problem to do ● Lesson 3.6: Jump start - card sort ● Lesson 3.7: Launch - read aloud, Word-Phrase-Sentence, use contextual visuals, Explore - use graphing calculators for 8 - 12, use graph paper/colored pencils to record each graph, Discuss - Think-pair-share

Skill Building

Priority Lessons

● Honors Lesson 3.8 ● Ready for More?

Extension