Core Connections, Course 3 - Weebly
Core Connections, Course 3
Foundations for Algebra Toolkit
Managing Editors / Authors
Leslie Dietiker, Ph.D., Director of Curriculum (Both Editions)
Boston University Boston, MA
Evra Baldinger (First Edition)
University of California, Berkeley Berkeley, CA
Barbara Shreve (First Edition)
San Lorenzo High School San Lorenzo, CA
Michael Kassarjian (Second Edition)
CPM Educational Program Kensington, CA
Misty Nikula (Second Edition)
CPM Educational Program Bellingham, WA
Technical Assistants: Toolkit
Hannah Coyner
Sarah Maile
Sacramento, CA
Sacramento, CA
Megan Walters
Sacramento, CA
Cover Art
Jonathan Weast
Sacramento, CA
Program Directors
Leslie Dietiker, Ph.D.
Boston University Boston, MA
Judy Kysh, Ph.D.
Departments of Education and Mathematics San Francisco State University, CA
Lori Hamada
CPM Educational Program Fresno, CA
Tom Sallee, Ph.D.
Department of Mathematics University of California, Davis
Brian Hoey
CPM Educational Program Sacramento, CA
Copyright ? 2013 by CPM Educational Program. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Requests for permission should be made in writing to: CPM Educational Program, 9498 Little Rapids Way, Elk Grove, CA 95758. Email: cpm@.
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Printed in the United States of America
ISBN: 978-1-60328-096-9
Core Connections: Foundations for Algebra Course 3 Toolkit
Chapter 1 Problem Solving
2
Learning Log Entries
2
1.2.1 Proportional Relationships
Math Notes
4
1.1.1 FractionDecimalPercent
4
1.1.2 Axes, Quadrants, and Graphing on an xy-Coordinate Graph
5
1.1.3 Writing Equations Using the 5-D Process
6
1.2.1 Proportional Relationships
7
1.2.2 Solving Proportions
8
Chapter 2 Simplifying with Variables
9
Learning Log Entries
9
2.1.1 Algebra Tiles and Variables
2.1.2 Finding Perimeter and Combining Like Terms
2.1.3 Meanings of Minus
2.1.3 Representing Expressions on an Expression Map
2.1.4 Using Zeros to Simplify
2.1.5 Legal Moves for Simplifying and Comparing Expressions
2.1.9 Solutions of an Equation
Math Notes
17
2.1.1 Non-Commensurate
17
2.1.2 Mathematics Vocabulary
17
2.1.3 Combining Like Terms
18
2.1.4 Evaluating Expressions and the Orders of Operations
19
2.1.5 Commutative Property
20
2.1.6 Simplifying an Expression ("Legal Moves")
20
2.1.7 Associative and Identity Properties
21
2.1.8 Inverse Properties
21
2.1.9 Using an Equation Mat
22
Chapter 3 Graphs and Equations
23
Learning Log Entries
23
3.1.6 Qualities of a Complete Graph
3.1.7 Graphing Errors
3.2.2 How Many Solutions?
Math Notes
26
3.1.1 Patterns in Nature
26
3.1.3 Discrete and Continuous Graphs
26
3.1.4 Parabolas
27
3.1.5 Independent and Dependent Variables
28
3.2.1 Complete Graph
28
3.2.2 Circular Vocabulary, Circumference, and Area
29
3.2.3 Solving a Linear Equation
30
3.2.4 Solutions to an Equation with One Variable
30
3.2.5 The Distributive Property
31
Chapter 4 Multiple Representations
32
Learning Log Entries
32
4.1.2 Representations of Patterns Web
4.1.3 Connecting Linear Rules and Graphs
4.1.4 y = mx + b
4.1.6 Graphing Without an x y Table
Math Notes
37
4.1.7 Representations of Patterns
37
Chapter 5 Systems of Equations
38
Learning Log Entries
38
5.1.2 Solving Equations with Fractions
5.2.1 Points of Intersection
5.2.3 Equal Values Method
Math Notes
41
5.1.1 Linear Equations
41
5.1.2 Equivalent Equations
41
5.2.1 Solving Equations with Fractions (also known as the Fraction Buster Method) 42
5.2.2 System of Equations Vocabulary
42
5.2.3 The Equal Values Method
43
5.2.4 Solutions to a System of Equations
43
Chapter 6 Transformations and Similarity
44
Learning Log Entries
44
6.1.3 Rigid Transformations
6.2.1 Dilations
6.2.3 Finding Similar Shapes
6.2.6 Finding Missing Sides of Similar Shapes
Math Notes
49
6.1.3 Rigid Transformations
49
6.2.2 Corresponding Parts of Similar Shapes
50
6.2.6 Scale Factor
51
Chapter 7 Slope and Association
52
Learning Log Entries
52
7.1.3 Associations
7.2.3 Slope and Steepness
7.3.1 Line From Data Points
7.3.2 Describing Association
Math Notes
57
7.1.1 Circle Graphs
57
7.1.2 Line of Best Fit
57
7.1.3 Describing Association ? Part 1
58
7.2.4 Slope of a Line
59
7.2.5 Proportional Equations
60
7.3.2 Describing Association ? Part 2
60
Chapter 8 Exponents and Functions
61
Learning Log Entries
61
8.1.3 Simple and Compound Interest
8.2.1 Scientific Notation
8.2.3 Simplifying Exponent Expressions
8.3.1 Functions
Math Notes
66
8.1.1 Simple Interest
66
8.1.2 Exponents
66
8.1.3 Compound Interest
67
8.2.3 Scientific Notation
67
8.2.4 Laws of Exponents
68
8.3.1 Functions
68
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