Textbooks provide a systematic and well-rounded approach to middle school math. Chapters engage students in a variety of ways, from different levels of problem solving to real world application of math topics. The goal of the textbooks is to facilitate understanding and internalization of concepts, and to instill a curiosity to further explore math.

The sample includes:

- Chapter 14 – Proportions

Features & Components:

- Chapter Opener:Introduces the topic through real world application and identifies learning objectives.
- Example: Helps students understand a concept through a worked problem.
- Try It!: Gives students an opportunity to answer a similar question to check how well they have grasped the concept.
- Basic Practice: Provides simple questions that involve the direct application of concepts.
- Class Activities: Introduce new concepts through cooperative learning methods.
- In a Nutshell: Consolidates important rules and concepts for quick and easy review.
- Further Practice: Provides more challenging questions that involve the direct application of concepts.
- Math@Work: Provides questions that involve the application of integrated concepts to practical situations.
- Brainworks: Provides higher-order thinking questions that involve an open-ended approach to problem solving.
- Review Exercise: Gives students the opportunity to apply the concepts learned in the chapter through a variety of integrated questions.
- Extend Your Learning Curve: Extends and applies concepts learned to problems that are investigative in nature and engages the students in independent research.

The answer key at the back of the book provides answers to the *Try It!* and the problems in the exercises for the *Basic Practice*, *Further Practice*, *Maths@Work*, and *Brain Works* questions. It does not include answers to the class activities or the *Extend Your Learning Curve* activities.

Dimensions Math Textbook 7B includes activities using The Geometer’s Sketchpad, which is no longer available. We recommend using GoeGebra instead.

Note: Two textbooks (A and B) for each grade correspond to the two halves of the school year. Soft cover.

Chapter 9: Number Patterns

9.1 Number Patterns and Sequences

9.2 General Term of a Sequence

A. General Term

B. Application of Number Patterns

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 10: Coordinates and Linear Graphs

10.1 Cartesian Coordinate System

10.2 Linear Graphs

10.3 Slopes of Linear Graphs

A. Positive Slopes

B. Negative Slopes

C. Special Cases

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 11: Inequalities

11.1 Solving Simple Inequalities

A. Idea of Inequalities

B. Solving an Inequality

11.2 More Properties of Inequalities

11.3 Simple Linear Inequalities

11.4 Application of Simple Inequalities

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 12: Perimeters and Areas of Plane Figures

12.1 Perimeters and Areas of a Square, a Rectangle, and a Triangle

12.2 Circumference and Area of a Circle

12.3 Area of a Parallelogram

12.4 Area of a Trapezoid

12.5 Perimeters and Areas of Composite Plane Figures

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 13: Volumes and Surface Areas of Solids

13.1 Volumes and Total Surface Areas of a Cube and a Cuboid

A. Nets of Cube, Cuboid, and Other Prisms

B. Cube

C. Cuboid

13.2 Volume and Total Surface Area of a Prism

A. Prism

B. Volume of Prism

C. Surface Area of Prism

13.3 Volumes and Surface Areas of Composite Solids

A. Conversion between Different Units

B. Composite Solids

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 14: Proportions

14.1 Scale Drawing

14.2 Map Scale and Calculation of Area

A. Map Scale

B. Calculation of Area

14.3 Direct Proportion

14.4 Inverse Proportion

In A Nutshell

Extend Your Learning Curve

Chapter 15: Data Handling

15.1 Collection of Data

15.2 Dot Plots

15.3 Measure of Center: Mean

A. Measure of Center

B. Mean

C. Using Mean to Compare Two Populations

D. Variation from the Mean

15.4 Measure of Center: Median

15.5 Mode

A. Definition of Mode

B. Comparison between Mean, Median, and Mode

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 16: Probability of Simple Events

16.1 Set Notation

A. Sets

B. Equal Sets

C. Subsets

D. Universal Set and Empty Set

E. Complement of a Set

16.2 The Meaning of Probability

A. Introduction

B. Terms and Definitions

16.3 Sample Space

A. Sample Space

B. Basic Properties of Probabilities

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Chapter 17: Probability of Combined Events

17.1 Probability of Simple Combined EventsA. Possibility Diagram

B. Tree Diagram

17.2 The Meaning of Probability

17.3 Independent Events

17.4 Further Probabilities

In A Nutshell

Extend Your Learning Curve

Write In Your Journal

Answers