Making Connections 1 Book Cover

Making Connections 1 Book Cover

Making Connections 1

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TABLE OF CONTENTS

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Chapter 1: Introduction and Representation
Opening 1.OP Chapter Opening
Section 1.1 1.1.1 Visualizing Information
1.1.2 Analyzing a Game
1.1.3 Describing and Extending Patterns
1.1.4 Making Sense of a Logic Problem
1.1.5 Investigating a Proportional Relationship
Section 1.2 1.2.1 Representing Quantities
1.2.2 Representing Comparisons
1.2.3 Properties of Numbers
1.2.4 Products, Factors, and Factor Pairs
Section 1.3 1.3.1 Collecting and Representing Data
1.3.2 Measures of Central Tendency
1.3.3 Data Collection and Analysis
Closure 1.CL Chapter Closure

Chapter 2: Length and Integers
Opening 2.OP Chapter Opening
Section 2.1 2.1.1 Iterating Units of Length
2.1.2 Measuring Length
2.1.3 Comparing and Converting Units of Length
2.1.4 Partial Units of Length
Section 2.2 2.2.1 Composing and Decomposing Integers
2.2.2 Adding Integers
2.2.3 More Addition of Integers
2.2.4 Multiplication as Repeated Addition
Section 2.3 2.3.1 Grouping Integer Expressions
2.3.2 Identifying Terms in Integer Expressions
Section 2.4 2.4.1 Introduction to Variables
Closure 2.CL Chapter Closure

Chapter 3: Arithmetic Strategies and Area
Opening 3.OP Chapter Opening
Section 3.1 3.1.1 Strategies for Addition
3.1.2 Strategies for Addition and Subtraction
Section 3.2 3.2.1 Introduction to Area
3.2.2 Square Units and Area of Rectangles
3.2.3 Area and Perimeter
Section 3.3 3.3.1 Using Rectangles to Multiply
3.3.2 Using Generic Rectangles to Understand Products
3.3.3 Mental Multiplication
Section 3.4 3.4.1 Subtraction of Integers
3.4.2 Multiplication as Repeated Subtraction
3.4.3 Connecting Addition and Subtraction
3.4.4 Addition, Subtraction, Multiplication, and Division of Integers
3.4.5 Arithmetic Properties and Order of Operations
Closure 3.CL Chapter Closure

Chapter 4: Variables and Ratios
Opening 4.OP Chapter Opening
Section 4.1 4.1.1 Using and Interpreting Graphs
4.1.2 Graphing in the First Quadrant
4.1.3 Choosing a Scale and Graphing Data
4.1.4 More Graph Scaling
Section 4.2 4.2.1 Measurement Accuracy
4.2.2 Analyzing Data
4.2.3 Analyzing Effects of Changes in Data Sets
Section 4.3 4.3.1 Introduction to Percent
4.3.2 Connecting Percents with Decimals
4.3.3 Decimal Representations
4.3.4 Multiple Representations of a Portion
4.3.5 Converting Fractions and Percents to Decimals
Closure 4.CL Chapter Closure

Chapter 5: Geometry and Probability
Opening 5.OP Chapter Opening
Section 5.1 5.1.1 Building Quadrilaterals
5.1.2 Introduction to Angles
5.1.3 Classifying Geometric Figures
Section 5.2 5.2.1 Introduction to Probability
5.2.2 Investigating Probability
5.2.3 Modifying the Sample Space
5.2.4 Comparing Probabilities
Section 5.35.3 Mid-Course Reflection Activities
Closure 5.CL Chapter Closure

Chapter 6: Similarity, Multiplying Fractions, and Equivalence
Opening 6.OP Chapter Opening
Section 6.1 6.1.1 Enlarging Two-Dimensional Shapes
6.1.2 Enlarging and Reducing Figures
6.1.3 Enlargement and Reduction Ratios
6.1.4 Ratios in Other Contexts
Section 6.2 6.2.1 Analyzing Parts of Parts
6.2.2 Calculating a Portion of a Fraction
6.2.3 Multiplying Fractions
6.2.4 Multiplying Mixed Numbers
6.2.5 Multiplying with Mixed Numbers and Fractions Greater Than One
6.2.6 Multiplying Decimals and Percents
Section 6.3 6.3.1 Multiplication Number Sense
6.3.2 Equivalent Fractions and Ratios
6.3.3 Using the Multiplicative Identity
Closure 6.CL Chapter Closure

Chapter 7: Right Prisms and Adding Portions
Opening 7.OP Chapter Opening
Section 7.1 7.1.1 Introduction to Volume and Surface Area
7.1.2 Volume of Right Prisms
Section 7.2 7.2.1 Dividing and Partitioning
7.2.2 Adding Fractions
7.2.3 Connecting Fractions and Division
7.2.4 Common Denominators
7.2.5 Subtracting Fractions
Section 7.3 7.3.1 Adding and Subtracting Mixed Numbers
7.3.2 A Culminating Challenge
Closure 7.CL Chapter Closure

Chapter 8: Variables and Dividing Portions
Opening 8.OP Chapter Opening
Section 8.1 8.1.1 Describing and Extending Patterns
Section 8.2 8.2.1 Writing Equivalent Expressions
8.2.2 Using Variables to Generalize
8.2.3 Using Graphs to Study Patterns
8.2.4 Four-Quadrant Graphing
Section 8.3 8.3.1 New Contexts for Variables
8.3.2 Finding Unknown Angles in Triangles
Section 8.4 8.4.1 Dividing by Fractions
8.4.2 Division of Fractions
8.4.3 Division with Mixed Numbers and Decimals
Closure 8.CL Chapter Closure

Chapter 9: Percents, Proportions, and Geometry
Opening 9.OP Chapter Opening
Section 9.1 9.1.1 Multiplicative Growth and Percents
9.1.2 Composition and Decomposition of Percents
9.1.3 Percent Discounts
9.1.4 Simple Interest and Tip
Section 9.2 9.2.1 Distance, Rate, and Time
9.2.2 Graphing Proportional Relationships
9.2.3 Identifying and Using Proportional Relationships
9.2.4 Finding Missing Information in Proportional Relationships
9.2.5 Circumference, Diameter, and Pi
Section 9.3 9.3.1 Area of Triangles
9.3.2 Area of Circles
9.3.3 Area of Composite Shapes
9.3.4 Volume of Prisms and Cylinders
Closure 9.CL Chapter Closure

Chapter 10: Probability and Survey Design
Opening 10.OP Chapter Opening
Section 10.1 10.1.1 Manipulating the Sample Space
10.1.2 Independent and Dependent Events
10.1.3 Probability Tables
10.1.4 Using Multiplication to Calculate Probabilities
10.1.5 Comparing Theoretical and Experimental Probabilities
Section 10.2 10.2.1 Detecting Bias in Survey Questions
10.2.2 Representative Samples
10.2.3 Conducting a Survey and Interpreting Results
Section 10.3 10.3.1 Using Multiple Math Ideas to Make Predictions
10.3.2 Finding Unknowns
10.3.3 Using Multiple Math Ideas to Create an Interior Design
10.3.4 Analyzing Data to Identify a Trend
Closure 10.CL Chapter Closure

Glossary
Index
 
 

RESOURCE PAGES

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Chapter 1: Introduction and Representation
Chapter 2: Length and Integers
Chapter 3: Arithmetic Strategies and Area
Chapter 4: Data and Portions
Chapter 5: Geometry and Probability
Chapter 6: Similarity, Multiplying Fractions, and Equivalence
Chapter 7: Right Prisms and Adding Portions
Chapter 8: Variables and Dividing Portions
Chapter 9: Percents, Proportions, and Geometry
Chapter 10: Probability and Survey Design

PARENT GUIDE W/ EXTRA PRACTICE

Welcome to the Foundations for Algebra 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 does not answer.   Read More...

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By Chapter:

Chapter 1: Introduction and Representation
Chapter 2: Length and Integers
Chapter 3: Arithmetic Strategies and Area
Chapter 4: Data and Portions
Chapter 5: Geometry and Probability
Chapter 6: Similarity, Multiplying Fractions, and Equivalence
Chapter 7: Right Prisms and Adding Portions
Chapter 8: Variables and Dividing Portions
Chapter 9: Percents, Proportions, and Geometry
Chapter 10: Probability and Survey Design

By Topic:

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General eTools
Chapter 1: Introduction and Representation
Chapter 2: Length and Integers
Chapter 3: Arithmetic Strategies and Area
Chapter 4: Data and Portions
Chapter 5: Geometry and Probability
Chapter 6: Similarity, Multiplying Fractions, and Equivalence
Chapter 7: Right Prisms and Adding Portions
Chapter 8: Variables and Dividing Portions
Chapter 9: Percents, Proportions, and Geometry

SUPPORT MATERIALS

MC1: Making Connections Course 1: Course Overview PDF
MC1: Making Connections Course 1: 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.