High School Math Guide

Secondary III & III H Unit Guides - Semester

Unit 3

Polynomial Functions

PACING

KEY LANGUAGE USE(S)

Semester:

● Everyday: 22 days (teach in 2 units) ● Regular: 11 days ● Honors: 11 days

Explain

UTAH CORE STANDARD for MATHEMATICS

III.F.BF.1 III.F.LE.3 III.A.CED.2 III.F.BF.3

III.F.IF.4 III.F.IF.5 III.F.IF.7

III.A.APR.5 III.A.APR.2 III.A.SSE.1 III.A.APR.3

III.N.CN.9 III.N.CN.8 III.A.APR.4

III.A.APR.1

END OF UNIT COMPETENCIES WITH LANGUAGE EXPECTATIONS

By the end of Unit 3, students will be able to: ● graph various functions using properties of transformations

● use the transformations performed on the parent function to write an equation ● recognize properties of even and odd functions using correct math vocabulary such as: ○ exponent, symmetric, end behavior, even, odd, leading coeffcient ● fnd the key features of polynomial functions in different representations using correct math vocabulary such as: ○ Domain, range, x-intercept, y-intercept, end behavior ● use various methods to fnd the roots of polynomials ● understand that polynomials are closed under addition, subtraction, and multiplication ● add, subtract, multiply, and divide polynomials SCAFFOLDING IN ACTION

● Lesson 3.1: Jump start - have students use colored pencils to mark the differences in the fgures, Launch - Notice and Wonder, use colored pencils to mark the differences in the fgures ● Lesson 3.2: Jump start - provide larger grids with the axis already labeled, Launch - provide graphic organizer with table and grid and a list of key features to fnd, Explore - provide larger grids with axis already labeled ● Lesson 3.3: Launch - provide manipulatives for operations on the polynomials, Explore - provide algebra tiles for help with operations on the polynomials, Discuss - Think-Pair-Share ● Lesson 3.4: Launch - Think-Pair-Share, Explore - chunk the task by checking in with students every few minutes to give feedback ● Lesson 3.5: Launch - think aloud modeling long division, Explore - offer choice: everyone does 5b, then pick from 5a, 5c, or 5d ● Lesson 3.6: Launch - do #1 whole class, students complete #2 & #3 individually ● Lesson 3.7: Jump start - Which One Doesn’t Belong?

Skill Building

Priority Lessons

● Lesson 3.8: Explore - provide explicit steps for dividing polynomials ● Lesson 3.9: Explore - chunk the task and discuss after each section ● Lesson 3.10: Explore - chunk the task: discuss after every 2 problems

Ready for More?

Extension