
Textbooks provide a systematic and wellrounded 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.
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 higherorder thinking questions that involve an openended 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 8A 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.
Take a Look Inside
Table of Contents
Chapter 1: Exponents and Scientific Notation
1.1 Positive Exponents and the Laws of Exponents
1.2 Zero and Negative Integer Exponents
1.3 Fractional Exponents
A. nth root of a Positive Number
B. Fractional Exponents
1.4 Comparing Exponents
1.5 Scientific Notation
A. Representation of Very Small or Very Large Numbers
B. Computation
1.6 Rounding Numbers to a Specified Number of Significant Figures
1.7 Estimations and Accuracy of Calculators
A. Estimations
B. Estimation and Irrational Numbers
C. Accuracy in Calculators
In a Nutshell
Review Exercise 1
Extend Your Learning Curve
Write In Your Journal
Chapter 2: Linear Equations in Two Variables
2.1 Linear Equations in Two Variables
A. Review of Linear Equations in One Variable
B. Meaning of Linear Equations in Two Variables
2.2 Solving Simultaneous Linear Equations in Two Variables using the Graphical Method
2.3 Solving Simultaneous Linear Equations in Two Variables using the Substitution Method
2.4 Solving Simultaneous Linear Equations in Two Variables using the Elimination Method
2.5 Solving Problems using Simultaneous Equations
In A Nutshell
Review Exercise 2
Extend Your Learning Curve
Write In Your Journal
Chapter 3: Expansion and Factorization of Algebraic Expressions
3.1 Expansion of the Products of Algebraic Expressions
A. Product of Single Terms
B. Product of Two Expressions
3.2 Special Products More Properties of Inequalities
3.3 Factorization by using Special Products of Algebraic Expressions
In A Nutshell
Review Exercise 3
Extend Your Learning Curve
Write In Your Journal
Chapter 4: Quadratic Factorization and Equations
4.1 Factorization of ax^{2} + bx +c
A. x^{2} + bx + c
B. ax^{2} + bx + c
4.2 Solving Quadratic Equations by Factorization
4.3 Problem Solving Involving Quadratic Equations
In A Nutshell
Review Exercise 4
Extend Your Learning Curve
Write In Your Journal
Chapter 5: Simple Algebraic Fractions
5.1 Simplifying Simple Algebraic Fractions
5.2 Multiplication and Division of Algebraic Fractions
5.3 Addition and Subtraction of Algebraic Fractions
5.4 Fractional Equations
A. Solving Equations Involving Algebraic Fractions
B. Problem Solving Involving Fractional Equations
5.5 More about Formulas
A. Finding the Value of an Unknown Quantity in a Formula
B. Changing the Subject of a Formula
In A Nutshell
Review Exercise 5
Extend Your Learning Curve
Write In Your Journal
Chapter 6: Congruence and Reflections
6.1 Congruence and Reflections
A. Congruent Figures
B. Reflections
6.2 Translations, Rotations and Combining Transformations
A. Translations
B. Rotations
C. Combining Transformations
6.3 Similarity
6.4 Enlargements and Similarity
A. Scale Factors
B. Enlargements
In A Nutshell
Review Exercise 6
Extend Your Learning Curve
Write In Your Journal
Chapter 7: Parallel Lines and Angles in Triangles and Polygons
7.1 Angles formed by Parallel Lines and Transversals
A. Angle Properties
B. Parallel Lines and Transversals
7.2 Interior and Exterior Angles of a Triangle
A. Angle Sum of a Triangle
B. Exterior Angle of a Triangle
7.3 Angles Properties of Special Quadrilaterals
7.4 Polygons
A. Types of Polygons
B. Sum of Interior Angels of a Polygons
C. Sum of Exterior Angels of a Polygons
In A Nutshell
Review Exercise 7
Extend Your Learning Curve
Write In Your Journal
Answers
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