**Making Connections 1 **

**Additional Textbook Resources**

### STUDENTS/PARENTS (ENGLISH)

### TEACHER RESOURCES

**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 5.3 | 5.3 | 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

Index

**Chapter 1: Introduction and Representation**

- Lesson 1.1.1: A Team Roles PDF
- Lesson 1.1.1: B Mathograpy PDF
- Lesson 1.1.2: A Color-Rama PDF
- Lesson 1.1.2: B Team Roles PDF
- Lesson 1.1.3: Team Roles PDF
- Lesson 1.1.4: Team Roles PDF
- Lesson 1.1.5: Team Roles PDF
- Lesson 1.2.1: General Team Roles PDF
- Lesson 1.2.3: Even. Composite. Odd. Prime. PDF
- Lesson 1.2.4: Multiplication Table PDF
- Chapter 1 Closure: Organizing and Representing Quantities Go PDF
- Chapter 1 Closure: Cards PDF

**Chapter 2: Length and Integers**

**Chapter 3: Arithmetic Strategies and Area**

- Lesson 3.1.1: Mental Math Strategy Cards PDF
- Lesson 3.1.2: Base Ten Blocks PDF
- Lesson 3.2.1: A PDF
- Lesson 3.2.1: B Block It PDF
- Lesson 3.2.2: A 1/4 inch Grid PDF
- Lesson 3.2.2: B cm inch Grid PDF
- Lesson 3.2.2: C Kidney Bean Desk PDF
- Lesson 3.4.4: Tug-o-War Game PDF
- Lesson 3.4.5: Code Writing Cards PDF
- Chapter 3 Closure: PDF
- Chapter 3 Closure: Mathematical Vocabulary Cards PDF

**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**

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...

### Parent Guides

Chapter 1: Introduction and Representation PDF

Chapter 2: Length and Integers PDF

Chapter 3: Arithmetic Strategies and Area PDF

Chapter 4: Data and Portions PDF

Chapter 5: Geometry and Probability PDF

Chapter 6: Similarity, Multiplying Fractions, and Equivalence PDF

Chapter 7: Right Prisms and Adding Portions PDF

Chapter 8: Variables and Dividing Portions PDF

Chapter 9: Percents, Proportions, and Geometry PDF

Chapter 10: Probability and Survey Design PDF

### Extra Practice Topics

**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:**

- PDF Addition and Subtraction of Fractions
- PDF Area of a Circle
- PDF Area of a Polygon
- PDF Area of Sectors (Subproblems of Circles)
- PDF Arithmetic Operations with Decimals
- PDF Arithmetic Operations with Integers
- PDF Box-and-Whisker Plot
- PDF Calculating Compound Areas Using Subproblems
- PDF Circle Circumference
- PDF Combining Like Terms
- PDF Distributive Property
- PDF Division of Fractions
- PDF Drawing a Graph from a Table
- PDF Equivalent Fractions
- PDF Fraction-Decimal-Percent Equivalents
- PDF Graphing Inequalities
- PDF Laws of Exponents
- PDF Measures of Central Tendency
- PDF Multiplication of Fractions
- PDF Order of Operations
- PDF Percentages
- PDF Percentage of Increase and Decrease
- PDF Perimeter
- PDF Probability
- PDF Pythagorean Theorem
- PDF Ratio
- PDF Ratio Applications
- PDF Scientific Notation
- PDF Similarity of Length and Area
- PDF Similarity of Volume
- PDF Simple and Compound Interest
- PDF Solving Inequalities
- PDF Solving Linear Equations
- PDF Solving Proportions
- PDF Stem-and-Leaf Plot
- PDF Substitution and Evaluation
- PDF Surface Area of a Cylinder
- PDF Surface Area of a Prism
- PDF Volume of a Cone
- PDF Volume of a Cylinder
- PDF Volume of a Prism
- PDF Writing and Graphing Linear Equations
- PDF Writing Equations Using the 5-D Process

### ETOOLS/VIDEOS

**General eTools**

- Algebra Tiles (CPM)
- Base Ten Blocks (CPM)
- Tile Pattern and Dot eTool (CPM)
- Area Tiles and Toothpicks (CPM)
- Data Representations (CPM)
- Probability Tools (CPM)
- +/- Tiles and Number Lines (CPM)
- Desmos Graphing Calculator (Desmos)

Desmos Accessibility

**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**

- Lesson 9.2.2: 9-65 Bag eTool (CPM)
- Lesson 9.2.3: 9-76 Student eTool (Desmos)

**Lesson Videos**

- Lesson 5.1.2: World Record Figure Skating Spin (YouTube)
- Lesson 5.1.2: Dorothy Hamill Scratch Spin (YouTube)
- Lesson 5.1.2: Hurricane Spin (YouTube)

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.