Algebra Connections Book Cover

Algebra Connections Book Cover

Algebra Connections

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TABLE OF CONTENTS

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Chapter 1: Problem Solving
Opening 1.OP Chapter Opening
Section 1.1 1.1.1 Creating a Quilt Using Symmetry
1.1.2 Making Predictions and Investigating Results
1.1.3 Perimeter and Area of Enlarging Tile Patterns
1.1.4 Logical Arguments
1.1.5 Building a Kaleidoscope
Section 1.2 1.2.1 Spatial Visualization and Reflections
1.2.2 Rigid Transformations: Rotations and Translations
1.2.3 Using Transformations
1.2.4 Using Transformations to Create Shapes
1.2.5 Symmetry
Section 1.3 1.3.1 Attributes and Characteristics of Shapes
1.3.2 More Characteristics of Shapes
1.3.3 Introduction to Probability
Closure 1.CL Chapter Closure

Chapter 2: Variables and Proportions
Opening 2.OP Chapter Opening
Section 2.1 2.1.1 Exploring Variables and Combining Like Terms
2.1.2 Simplifying Expressions by Combining Like Terms
2.1.3 Writing Algebraic Expressions
2.1.4 Using Zero to Simplify Algebraic Expressions
2.1.5 Using Algebra Tiles to Simplify Algebraic Expressions
2.1.6 Using Algebra Tiles to Compare Expressions
2.1.7 Simplifying and Recording Work
2.1.8 Using Algebra Tiles to Solve for x
2.1.9 More Solving Equations
Section 2.2 2.2.1 Solving Problems with Proportional Intuition
2.2.2 Sharing Proportion-Organizing Strategies
2.2.3 Using Proportional Relationships
Closure 2.CL Chapter Closure

Chapter 3: Graphs and Equations
Opening 3.OP Chapter Opening
Section 3.1 3.1.1 Extending Patterns and Finding Rules
3.1.2 Using Tables, Graphs, and Rules to Make Predictions
3.1.3 Using the Graphing Calculator and Identifying Solutions
3.1.4 Completing Tables and Drawing Graphs
3.1.5 Graphs, Tables, and Rules
3.1.6 Complete Graphs
3.1.7 Identifying Common Graphing Errors
Section 3.2 3.2.1 Solving Equations and Testing the Solution
3.2.2 Determining the Number of Solutions
3.2.3 Strategies for Using the 5-D Process
3.2.4 More Solving Equations to Solve Problems
Closure 3.CL Chapter Closure

Chapter 4: Multiple Representations
Opening 4.OP Chapter Opening
Section 4.1 4.1.1 Finding Connections Between Representation
4.1.2 Seeing Growth in Different Representations
4.1.3 Connecting Linear Rules and Graphs
4.1.4 y = mx + b
4.1.5 Checking the Connections
4.1.6 Graphing Without an xy Table
4.1.7 Completing the Web
Section 4.2 4.2.1 Introduction to Systems of Equations
4.2.2 Writing Rules from Word Problems
4.2.3 Solving Systems Algebraically
4.2.4 Extending the Web to other Linear Situations
Closure 4.CL Chapter Closure

Chapter 5: Multiplication and Proportions
Opening 5.OP Chapter Opening
Section 5.1 5.1.1 Exploring an Area Model
5.1.2 Multiplying Binomials and the Distributive Property
5.1.3 Using Generic Rectangles to Multiply
5.1.4 Solving Equations With Multiplication
5.1.5 Working with Multi-Variable Equations
5.1.6 Solving Equations Without Manipulatives
Section 5.2 5.2.1 Setting Up and Solving Proportions
5.2.2 Practice with Proportions
5.2.3 Applying Proportions
Closure 5.CL Chapter Closure

Chapter 6: Systems of Equations
Opening 6.OP Chapter Opening
Section 6.1 6.1.1 Mathematical Sentences
6.1.2 Solving Word Problems by Writing Equations
6.1.3 Solving Problems by Writing Equations
Section 6.2 6.2.1 Solving Systems of Equations Using Substitution
6.2.2 Making Connections: Systems, Solutions and Graphs
6.2.3 Solving Systems of Equations Using Elimination
6.2.4 More Elimination
6.2.5 Choosing A Strategy for Solving Systems
Section 6.3 6.3.1 Section 6.3 Pulling it All Together
Closure 6.CL Chapter Closure

Chapter 7: Linear Relationships
Opening 7.OP Chapter Opening
Section 7.1 7.1.1 y = mx + b
7.1.2 Using Equations to Make Predictions
7.1.3 Measuring Steepness: An Introduction to Slope
7.1.4 Comparing Δy and Δx
7.1.5 More on Slope
Section 7.2 7.2.1 Equation of a Line in Context
7.2.2 Slope as a Measurement of Rate
7.2.3 Rates of Change
Section 7.3 7.3.1 Finding an Equation Given a Slope and a Point
7.3.2 Slopes of Parallel and Perpendicular Lines
7.3.3 Finding the Equation of a Line Through Two Points
7.3.4 Applying y = mx + b to find Equations from Graphs
Closure 7.CL Chapter Closure

Chapter 8: Quadratics
Opening 8.OP Chapter Opening
Section 8.1 8.1.1 Introduction to Factoring Quadratics
8.1.2 Factoring with Generic Rectangles
8.1.3 Factoring with Special Cases
8.1.4 Factoring Completely
Section 8.2 8.2.1 Investigating a Parabola
8.2.2 Multiple Representations for Quadratics
8.2.3 Zero Product Property
8.2.4 Solving Quadratic Equations by Factoring
8.2.5 Completing the Quadratic Web
Section 8.3 8.3.1 Introduction to the Quadratic Formula
8.3.2 More Solving Quadratic Equations
8.3.3 Choosing A Strategy
Closure 8.CL Chapter Closure

Chapter 9: Inequalities
Opening 9.OP Chapter Opening
Section 9.1 9.1.1 Solving Linear, One-Variable Inequalities
9.1.2 More Solving Inequalities
Section 9.2 9.2.1 Graphing Two-Variable Inequalities
9.2.2 Graphing Linear and Non-linear Inequalities
9.2.3 Introduction to Absolute Value
Section 9.3 9.3.1 Systems of Inequalities
9.3.2 More Systems of Inequalities
9.3.3 Applying Inequalities to Solve Problems
Closure 9.CL Chapter Closure

Chapter 10: Simplifying and Solving
Opening 10.OP Chapter Opening
Section 10.1 10.1.1 Simplifying Expressions
10.1.2 Multiplying and Dividing Rational Expressions
10.1.3 Solving by Rewriting
10.1.4 Fraction Busters
Section 10.2 10.2.1 Multiple Methods for Solving Equations
10.2.2 Determining the Number of Solutions
10.2.3 More Solving and an Application
10.2.4 Solving Inequalities with Absolute Value
10.2.5 Solving Absolute Value and Quadratic Inequalities
Section 10.3 10.3.1 Completing the Square
10.3.2 More Completing the Square
Section 10.4 10.4.1 Simplifying Exponential Expressions
10.4.2 Zero and Negative Exponents
10.4.3 Fractional Exponents and Scientific Notation
Closure 10.CL Chapter Closure

Chapter 11: Functions and Relations
Opening 11.OP Chapter Opening
Section 11.1 11.1.1 Describing a Graph
11.1.2 Relation Machines
11.1.3 Functions
11.1.4 Domain and Range
11.1.5 Investigating a New Relation
11.1.6 Transformation of a Function
Section 11.2 11.2.1 Intercepts and Intersections
11.2.2 Pulling It All Together
Section 11.3 11.3.1 Relation Treasure Hunt
Closure 11.CL Chapter Closure

Chapter 12: Algebraic Extensions
Opening 12.OP Chapter Opening
Section 12.1 12.1.1 Factoring Shortcuts
12.1.2 Adding and Subtracting Rational Expressions
12.1.3 More Adding and Subtracting Rational Expressions
Section 12.2 12.2.1 Solving Work Problems
12.2.2 Solving Percent Mixture Problems
Section 12.3 12.3.1 Deriving the Quadratic Formula
Section 12.4 12.4.1 Using Data and Trend Lines to Make Predictions
12.4.2 Analyzing Non-linear Tile Patterns
12.4.3 Investigating a Complex Function
12.4.4 Using Algebra to Find a Maximum
Closure 12.CL Chapter Closure

Additional Topics
AT 1.1 Investigating the Growth of Patterns
AT 1.2 Algebraic Properties
AT 1.3 Modeling Data
AT 1.4 Polynomial Division

Glossary
Index
 
 

RESOURCE PAGES

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Chapter 1: Problem Solving
Chapter 2: Variables and Proportions
Chapter 3: Graphs and Equations
Chapter 4: Multiple Representations
Chapter 5: Multiplication and Proportions
Chapter 6: Systems of Equations
Chapter 7: Linear Relationships
Chapter 8: Quadratics
Chapter 9: Inequalities
Chapter 10: Simplifying and Solving
Chapter 11: Functions and Relations
Chapter 12: Algebraic Extensions
Additional Topics:

PARENT GUIDE W/ EXTRA PRACTICE

Welcome to the Algebra Connections Parent Guide. The purpose of this guide is to assist you should your child need help with homework or the ideas in the course. We believe all students can be successful in mathematics as long as they are willing to work and ask for help when they need it. We encourage you to contact your child’s teacher if your student has additional questions that this guide or other resources do not answer.   Read More...


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General eTools
Chapter 1: Problem Solving
Chapter 2: Variables and Proportions
Chapter 3: Graphs and Equations
Chapter 4: Multiple Representations
Chapter 5: Multiplication and Proportions
Chapter 6: Systems of Equations
Chapter 7: Linear Relationships
Chapter 8: Quadratics
Chapter 9: Inequalities
Chapter 10: Simplifying and Solving
Chapter 11: Functions and Relations
Chapter 12: Algebraic Extensions

SUPPORT MATERIALS

AC: Algebra Connections: Quick Reference Guide PDF
AC: Algebra Connections: Course Overview PDF
AC: Algebra Connections: Development of Major Content Strands PDF

If you have adopted the CPM curriculum and do not have a teacher edition, please contact our Business Office at (209) 745-2055  for information to obtain a copy.