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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.
Note: The answer key in the first printing of Textbook 7A has some errors in it.
Singapore Dimensions Math: Level 7A – Textbook
Singapore Dimensions Math: Level 7A – Workbook
Singapore Dimensions Math: Level 7A – Teaching Notes & Solutions
Singapore Dimensions Math: Level 7A – Workbook Solutions
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Singapore Math Placement Test
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 RootsIn A Nutshell
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Chapter 2: Real Numbers2.1 Idea of Negative Numbers and the Number LineA. Negative Numbers
B. The Number Line
C. Absolute Value
2.2 Addition and Additive Inverse
A. Addition of Integers
B. Additive Inverse
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
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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
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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
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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
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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
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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
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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
8.5 Quadrilaterals
A. Types of Quadrilaterals
B. Properties of Special Quadrilaterals
C. Construction of Quadrilaterals
In A Nutshell
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Answers
