Dimensions Mathematics Common Core 7A&7B
Key Features:
- Worked examples followed by a "Try It!" question to ensure understanding.
- Lesson exercises that include the following exercise categories:
- Basic Practice (simple questions involving a direct application of the concepts);
- Further Practice (more challenging questions);
- Maths@Work (questions that apply mathematical concepts to real-life situations);
- Brainworks (questions involving higher order thinking or an open-ended approach to problems).
- Review exercise, an "Extend Your Learning Curve" activity, and "problem solving corner" exercises are also integrated throughout.
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, and Maths@Work questions. It does not include answers to the class activities, Brainworks questions, or the Extend Your Learning Curve activities; the answers can be found in Teacher's Notes & Solutions.
Dimensions Math 7A
| Chapter | Main Topic | Key Areas Covered |
|---|---|---|
| Chapter 1 | Factors and Multiples | Factors, multiples, prime factorization, exponential notation, GCF, LCM, square roots, cube roots |
| Chapter 2 | Real Numbers | Negative numbers, number line, absolute value, integer operations, rational numbers, calculators, rounding |
| Chapter 3 | Introduction to Algebra | Use of letters, algebraic notation, evaluating expressions, formulas, writing expressions for real-world situations |
| Chapter 4 | Algebraic Manipulation | Like and unlike terms, distributive law, simplifying expressions, factorization by common factors and grouping |
| Chapter 5 | Simple Equations in One Variable | Linear equations, equations with parentheses, fractional equations, forming equations to solve problems |
| Chapter 6 | Ratio, Rate, and Speed | Ratios involving rational numbers, ratio of three quantities, average rate, speed, unit conversion |
| Chapter 7 | Percentage | Meaning of percentage, expressing quantities as percentages, reverse percentages, percentage increase/decrease, discount, sales tax |
| Chapter 8 | Angles, Triangles, and Quadrilaterals | Points, lines, planes, angles, bisectors, triangles, quadrilaterals, constructions and properties |
Dimensions Math 7B
| Chapter | Main Topic | Key Areas Covered |
|---|---|---|
| Chapter 9 | Number Patterns | Number patterns, sequences, general term of a sequence, applications of number patterns |
| Chapter 10 | Coordinates and Linear Graphs | Cartesian coordinate system, linear graphs, slopes, positive/negative slopes, special slope cases |
| Chapter 11 | Inequalities | Solving simple inequalities, properties of inequalities, simple linear inequalities, applications |
| Chapter 12 | Perimeters and Areas of Plane Figures | Square, rectangle, triangle, circle, parallelogram, trapezoid, composite plane figures |
| Chapter 13 | Volumes and Surface Areas of Solids | Cubes, cuboids, prisms, composite solids, nets, unit conversions |
| Chapter 14 | Proportions | Scale drawing, map scale, calculation of area, direct proportion, inverse proportion |
| Chapter 15 | Data Handling | Data collection, dot plots, mean, median, mode, comparing populations, variation from mean |
| Chapter 16 | Probability of Simple Events | Set notation, subsets, universal set, empty set, complement, meaning of probability, sample space |
| Chapter 17 | Probability of Combined Events | Possibility diagrams, tree diagrams, independent events, further probabilities |
Textbooks (A & B) Levels 6-8
Introduces mathematical concepts through clear explanations, visual models, worked examples, and guided practice. The textbook helps students understand new topics before moving on to independent exercises.
Workbooks (A & B) Levels 6-8
Provides structured practice questions that reinforce the concepts taught in the textbook. It helps students build fluency, accuracy, and confidence through regular application and problem-solving exercises.
Workbook Solutions (A & B) Levels 7 & 8 only
Contains step-by-step solutions and answer explanations for the workbook exercises. This is useful for parents, tutors, teachers, and students who need support with marking, correction, and review.
Teacher’s Guide / Teaching Notes (A & B) Levels 7 & 8 only
Provides lesson guidance, teaching suggestions, objectives, activities, and answer keys. It supports teachers, tutors, and parents in delivering lessons effectively and understanding how each topic should be taught.
You may also consider:
