Student Workbook with Scaffolded Practice Unit 2A

Student Workbook with Scaffolded Practice

Unit 2A

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This book is licensed for a single student's use only. The reproduction of any part, for any purpose, is strictly prohibited.

? Common Core State Standards. Copyright 2010. National Governor's Association Center for Best Practices and

Council of Chief State School Officers. All rights reserved.

1 2 3 4 5 6 7 8 9 10 ISBN 978-0-8251-7456-8 U2A Copyright ? 2014 J. Weston Walch, Publisher Portland, ME 04103

Printed in the United States of America

WALCH

EDUCATION

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Table of Contents

Introduction

Program pages

Workbook pages

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Unit 2A: Polynomial Relationships Lesson 1: Polynomial Structures and Operating with Polynomials Lesson 2A.1.1: Structures of Expressions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-4?U2A-16 Lesson 2A.1.2: Adding and Subtracting Polynomials . . . . . . . . . . . . . . . . . . . U2A-17?U2A-27 Lesson 2A.1.3: Multiplying Polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-28?U2A-39 Lesson 2: Proving Identities Lesson 2A.2.1: Polynomial Identities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-46?U2A-62 Lesson 2A.2.2: Complex Polynomial Identities. . . . . . . . . . . . . . . . . . . . . . . . . U2A-63?U2A-75 Lesson 2A.2.3: The Binomial Theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-76?U2A-91 Lesson 3: Graphing Polynomial Functions Lesson 2A.3.1: Describing End Behavior and Turns. . . . . . . . . . . . . . . . . . . U2A-100?U2A-118 Lesson 2A.3.2: The Remainder Theorem. . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-119?U2A-138 Lesson 2A.3.3: Finding Zeros. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-139?U2A-156 Lesson 2A.3.4: The Rational Root Theorem. . . . . . . . . . . . . . . . . . . . . . . . . .U2A-157?U2A-172 Lesson 4: Solving Systems of Equations with Polynomials Lesson 2A.4.1: Solving Systems of Equations Graphically. . . . . . . . . . . . . . U2A-182?U2A-209 Lesson 5: Geometric Series Lesson 2A.5.1: Geometric Sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-221?U2A-242 Lesson 2A.5.2: Sum of a Finite Geometric Series . . . . . . . . . . . . . . . . . . . . . U2A-243?U2A-270 Lesson 2A.5.3: Sum of an Infinite Geometric Series. . . . . . . . . . . . . . . . . . . U2A-271?U2A-290 Station Activities Set 1: Polynomial Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-318?U2A-323 Set 2: Sequences and Series. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U2A-328?U2A-331

7?16 17?26 27?36

37?46 47?56 57?66

67?76 77?86 87?96 97?106

107?118

119?128 129?138 139?148

149?154 155?158

Coordinate Planes

159?186

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Introduction

The CCSS Mathematics III Student Workbook with Scaffolded Practice includes all of the student pages from the Teacher Resource necessary for your day-to-day classroom use. This includes:

? Warm-Ups ? Problem-Based Tasks ? Practice Problems ? Station Activity Worksheets

In addition, it provides Scaffolded Guided Practice examples that parallel the examples in the TRB and SRB. This supports:

? Taking notes during class ? Working problems for preview or additional practice

The workbook includes the first Guided Practice example with step-by-step prompts for solving, and the remaining Guided Practice examples without prompts. Sections for you to take notes are provided at the end of each sub-lesson. Additionally, blank coordinate planes are included at the end of the full unit, should you need to graph.

The workbook is printed on perforated paper so you can submit your assignments and three-hole punched to let you store it in a binder.

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Name:

Date:

UNIT 2A ? POLYNOMIAL RELATIONSHIPS

Lesson 1: Polynomial Structures and Operating with Polynomials

Lesson 2A.1.1: Structures of Expressions

Warm-Up 2A.1.1

A band is holding a small concert. The seating is being sold in sections, and different sections have different numbers of seats. A diagram showing the sections and the number of seats in each section is shown as follows.

Section D: 4 seats

Section A: 6 seats

Section E: 12 seats

Section B: 15 seats

Stage

Section F: 4 seats

Section C: 6 seats

1. Mario bought all the seats in sections A and D. How many total seats did he buy?

2. Evan bought all the seats in sections B and C. How many total seats did he buy?

3. Tara is trying to buy enough seats for a total of 18 people. The only seats remaining are in sections E and F. Will she be able to buy enough seats for her group?

U2A-4

CCSS IP Math III Teacher Resource

2A.1.1

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