Student Workbook with Scaffolded Practice Unit 5

[Pages:246]Student Workbook with Scaffolded Practice

Unit 5

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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 978-0-8251-7777-4 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 5: Congruence, Proof, and Constructions Lesson 1: Introducing Transformations Lesson 5.1.1: Defining Terms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-5?U5-17 Lesson 5.1.2: Transformations As Functions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-18?U5-37 Lesson 5.1.3: Applying Lines of Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-38?U5-54 Lesson 2: Defining and Applying Rotations, Reflections, and Translations Lesson 5.2.1: Defining Rotations, Reflections, and Translations. . . . . . . . . . . . . U5-60?U5-71 Lesson 5.2.2: Applying Rotations, Reflections, and Translations. . . . . . . . . . . . . U5-72?U5-85 Lesson 3: Constructing Lines, Segments, and Angles Lesson 5.3.1: Copying Segments and Angles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-94?U5-118 Lesson 5.3.2: Bisecting Segments and Angles . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-119?U5-142 Lesson 5.3.3: Constructing Perpendicular and Parallel Lines. . . . . . . . . . . . . . U5-143?U5-168 Lesson 4: Constructing Polygons Lesson 5.4.1: Constructing Equilateral Triangles Inscribed in Circles. . . . . . . U5-177?U5-200 Lesson 5.4.2: Constructing Squares Inscribed in Circles. . . . . . . . . . . . . . . . . . U5-201?U5-220 Lesson 5.4.3: Constructing Regular Hexagons Inscribed in Circles. . . . . . . . . U5-221?U5-244 Lesson 5: Exploring Congruence Lesson 5.5.1: Describing Rigid Motions and Predicting the Effects. . . . . . . . . U5-256?U5-278 Lesson 5.5.2: Defining Congruence in Terms of Rigid Motions. . . . . . . . . . . . U5-279?U5-301 Lesson 6: Congruent Triangles Lesson 5.6.1: Triangle Congruency. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-314?U5-334 Lesson 5.6.2: Explaining ASA, SAS, and SSS. . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-335?U5-355 Station Activities Set 1: Rotations and Reflections. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . U5-388?U5-396 Set 2: Corresponding Parts, Transformations, and Proof. . . . . . . . . . . . . . . . . U5-401?U5-408

7?18 19?28 29?38

39?48 49?58

59?68 69?78 79?88

89?98 99?108 109?118

119?132 133?146

147?158 159?170

171?180 181?188

Coordinate Planes Formulas Bilingual Glossary

189?218 219?222 223?246

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iii CCSS IP Math I Teacher Resource

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Introduction

The CCSS Mathematics I 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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v CCSS IP Math I Teacher Resource

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Name:

UNIT 5 ? CONGRUENCE, PROOF, AND CONSTRUCTIONS Lesson 1: Introducing Transformations

Date:

Lesson 5.1.1: Defining Terms

Warm-Up 5.1.1

Marta wants to draw a perfect circle on canvas, but her compass is broken. She decides to take a shoelace from one of her sneakers and a pushpin from her drawing desk. She ties the shoelace around a pencil and then pins the other end of the shoelace into the center of the canvas. Marta then stretches the shoelace out until it's pulled tight, and places the pencil point on the canvas. Keeping the shoelace straight, she moves the pencil around the canvas and begins to draw out a circle.

1. Will Marta's approach to drawing a perfect circle work? Why or why not?

2. How could Marta show that the drawing is or is not a perfect circle?

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U5-5

CCSS IP Math I Teacher Resource

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5.1.1

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