This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 8A – Textbook
Singapore Dimensions Math: Level 8A – Workbook
Singapore Dimensions Math: Level 8A – Workbook Solutions
Singapore Dimensions Math: Level 8A – Teaching Notes & Solutions 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

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 Exponents1.4 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 ax2 + bx +cA. x2 + bx + c
B. ax2 + 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 TransversalsA. 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 PolygonsIn A Nutshell
Review Exercise 7
Extend Your Learning Curve
Write In Your Journal

Answers

The post Singapore Dimensions Math: Level 8A – Textbook appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 7B – Textbook
Singapore Dimensions Math: Level 7B – Workbook
Singapore Dimensions Math: Level 7B – Workbook Solutions
Singapore Dimensions Math: Level 7B – Teaching Notes & Solutions 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Chapter 9: Number Patterns
Chapter 10: Coordinates And Linear Graphs
Chapter 11: Inequalities
Chapter 12: Perimeters And Areas of Plane Figures
Chapter 13: Volumes And Surface Areas of Solids
Chapter 14: Proportions
Chapter 15: Data Handling
Chapter 16: Probability Of Simple Events
Chapter 17: Probability Of Combined Events

The post Singapore Dimensions Math: Level 7B – Workbook Solutions appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 7B – Textbook
Singapore Dimensions Math: Level 7B – Workbook
Singapore Dimensions Math: Level 7B – Workbook Solutions
Singapore Dimensions Math: Level 7B – Teaching Notes & Solutions 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Notes on Teaching for all chapters covered in Textbook 7B
Fully Worked Solutions for questions in Textbook 7B
Chapter 9 Number Patterns
Chapter 10 Coordinates and Linear Graphs
Chapter 11 Inequalities
Chapter 12 Perimeters and Areas of Plane Figures
Chapter 13 Volumes and Surface Areas of Solids
Chapter 14 Proportions
Chapter 15 Data Handling
Chapter 16 Probability of Simple Events
Chapter 17 Probability of Combined Events

The post Singapore Dimensions Math: Level 7B – Teaching Notes and Solutions appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 7B – Textbook
Singapore Dimensions Math: Level 7B – Workbook
Singapore Dimensions Math: Level 7B – Workbook Solutions
Singapore Dimensions Math: Level 7B – Teaching Notes & Solutions 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Chapter 9: Number Patterns
Chapter 10: Coordinates And Linear Graphs
Chapter 11: Inequalities
Chapter 12: Perimeters And Areas of Plane Figures
Chapter 13: Volumes And Surface Areas of Solids
Chapter 14: Proportions
Chapter 15: Data Handling
Chapter 16: Probability Of Simple Events
Chapter 17: Probability Of Combined Events
Answers

The post Singapore Dimensions Math: Level 7B – Workbook appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

Singapore Dimensions Math: Level 7B – Textbook
Singapore Dimensions Math: Level 7B – Workbook
Singapore Dimensions Math: Level 7B – Workbook Solutions
Singapore Dimensions Math: Level 7B – Teaching Notes & Solutions 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

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

The post Singapore Dimensions Math: Level 7B – Textbook appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

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 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Chapter 1: Factors and Multiples
Chapter 2: Real Numbers
Chapter 3: Introduction to Algebra
Chapter 4: Algebraic Manipulation
Chapter 5: Simple Equations in One Variable
Chapter 6: Ratio, Rate, and Speed
Chapter 7: Percentage
Chapter 8: Angles, Triangles, and Quadrilaterals
Answers

The post Singapore Dimensions Math: Level 7A – Workbook Solutions appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

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 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Notes on Teaching for all chapters covered in Textbook 7A
Fully Worked Solutions for questions in Textbook 7A

Chapter 1: Factors and Multiples
Chapter 2: Real Numbers
Chapter 3: Introduction to Algebra
Chapter 4: Algebraic Manipulation
Chapter 5: Simple Equations in One Variable
Chapter 6: Ratio, Rate, and Speed
Chapter 7: Percentage
Chapter 8: Angles, Triangles, and Quadrilaterals

The post Singapore Dimensions Math: Level 7A – Teaching Notes and Solutions appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

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 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

Chapter 1: Factors and Multiples
Chapter 2: Real Numbers
Chapter 3: Introduction to Algebra
Chapter 4: Algebraic Manipulation
Chapter 5: Simple Equations in One Variable
Chapter 6: Ratio, Rate, and Speed
Chapter 7: Percentage
Chapter 8: Angles, Triangles, and Quadrilaterals
Answers

The post Singapore Dimensions Math: Level 7A – Workbook appeared first on Classical Education Books.

This program divides the school year into two semesters. “A” level books are for the first half of the school year. “B” level books are for the second half of the school year. You need both “A” and “B” material for a complete school year.

Required Components:

Textbooks, Workbooks, and Guides (either Home Instructor’s Guides or Teacher’s Guides) are all necessary components. These three elements each serve a unique function and work together to build math mastery.

Related Products:

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 

Placement Test:

Not sure which grade level your student needs? Click here to find out!
Singapore Math Placement Test

Table of Contents:

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve

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
Extend Your Learning Curve
Write In Your Journal

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
Extend Your Learning Curve
Write In Your Journal

Answers

The post Singapore Dimensions Math: Level 7A – Textbook appeared first on Classical Education Books.