 Dimensions Math Textbook 7A

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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 4 – Distributive Law
• Chapter 5 – Simple Equations in One Variable – Solving Linear Equations
• Chapter 6 – Ratio, Rate and Speed
• Chapter 7 – Percentage – Reverse Percentages

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 PracticeFurther PracticeMaths@Work, and Brain Works questions. It does not include answers to the class activities or the Extend Your Learning Curve activities.

Dimensions Math Textbook 7A 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 1: Factors and Multiples
1.1 Factors and Multiples
A. Factors
B. Multiples
1.2 Prime Factorization and Exponential Notation
A. Prime Factorization
B. Exponential Notation1.3 Greatest Common Factor (GCF)
1.4 Least Common Multiple (LCM)
1.5 Square Roots and Cube Roots
A. Square Roots
B. Cube Roots
In A Nutshell

Chapter 2: Real Numbers2.1 Idea of Negative Numbers and the Number LineA. Negative Numbers
B. The Number Line
C. Absolute Value
2.3 Subtraction and Absolute Value of the Difference
A. Subtraction of Integers
B. Absolute Value of the Difference
2.4 Multiplication, Division, and Combined Operations of Integers
A. Multiplication of Integers
B. Division of Integers
C. Combined Operations of Integers
2.5 Rational Numbers
A. Definition
B. Addition and Subtraction of Rational Numbers
C. Multiplication and Division of Rational Numbers
2.6 Real Numbers and Use of Calculators
A. Real Numbers
B. Use of Calculators
2.7 Rounding Numbers to Decimal Places
A. Idea of Rounding
B. Rounding Numbers to Decimal Places
In A Nutshell

Chapter 3: Introduction to Algebra
3.1 The Use of Letters in Algebra
A. The Use of Letters
B. Basic Notations in Algebra
C. Exponential Notation
3.2 Evaluation of Algebraic Expressions and Formulas
A. Evaluation of Algebraic Expressions
B. Formulas
3.3 Writing Algebraic Expressions to Represent Real-world Situations
In A Nutshell

Chapter 4: Algebraic Manipulation
4.1 Like Terms and Unlike Terms
4.2 Distributive Law, Addition and Subtraction of Linear Algebraic Expressions
A. Use of Parentheses
B. Addition and Subtraction of Linear Algebraic Expressions
4.3 Simplification of Linear Algebraic Expressions
4.4 Factorization by Extracting Common Factors
4.5 Factorization by Grouping Terms
In A Nutshell

Chapter 5: Simple Equations in One Variable
5.1 Simple Linear Equations in One Variable
5.2 Equations Involving Parentheses
5.3 Simple Fractional Equations
5.4 Forming Linear Equations to Solve Problems
In A Nutshell

Chapter 6: Ratio, Rate, and Speed
6.1 Ratios Involving Rational Numbers
A. Meaning of Ratio
B. Simplification of Ratios
C. Ratio of Three Quantities
D. Problems Involving Ratios
6.2 Average Rate
6.3 Speed
A. Uniform Speed and Average Speed
B. Conversion of Units
In A Nutshell

Chapter 7: Percentage
7.1 Meaning of Percentage
A. Introduction
B. Expressing One Quantity as a Percentage of Another
7.2 Reverse Percentages
7.3 Percentage Increase and DecreaseA. Percentage Increase
B. Percentage Decrease
7.4 Discount and Sales Tax
A. Discount
B. Sales Tax
In A Nutshell

Chapter 8: Angles, Triangles, and Quadrilaterals
8.1 Points, Lines, and Planes
8.2 AnglesA. Angles and Measurements
B. Types of Angles
C. Complementary, Supplementary, and Adjacent Angles
D. Properties of Angles
8.3 Perpendicular Bisectors and Angle Bisectors
A. Use of Compasses
B. Perpendicular Bisectors
C. Angle Bisectors
8.4 Triangles
A. Classification of Triangles
B. Construction of Triangles