Mathematics, Grade 7

Unit 1: Number

Divisibility rules, decimal operations, percents, fraction and decimal equivalence, addition and subtraction of fractions and integers, and comparing and ordering rational numbers.

• Divisibility rules
• Adding and subtracting decimals
• Multiplying and dividing decimals

• Solving percent problems
• Fractions and terminating decimals
• Fractions and repeating decimals

• Adding and subtracting fractions with like denominators
• Adding and subtracting fractions with unlike denominators
• Adding integers
• Subtracting integers
• Comparing and ordering fractions, decimals, and whole numbers

Unit 2: Patterns and Relations

Linear relations from patterns, tables and graphs, preservation of equality, expressions versus equations, evaluating expressions, and solving one- and two-step linear equations.

• Patterns and their linear relations
• Tables and graphs of linear relations

• Modelling preservation of equality
• Solving equations with preservation of equality
• Expressions versus equations
• Evaluating expressions
• One-step linear equations
• Two-step linear equations

Unit 3: Measurement

Understanding circles and pi, and developing area formulas for triangles, parallelograms, and circles.

• Radius, diameter, circumference, and pi
• Central angles and constructing circles
• Solving circle problems

• Area of triangles and parallelograms
• Area of circles

Unit 4: Geometry

Plotting points in the four quadrants of a Cartesian plane using integral ordered pairs.

• Plotting in four quadrants

Unit 5: Statistics and Probability

Measures of central tendency and range, the effect of outliers, circle graphs, and probability expressed as ratios, fractions, and percents including two independent events.

• Mean, median, mode, and range
• Choosing the most appropriate measure
• The effect of outliers
• Constructing and interpreting circle graphs

• Probability as ratios, fractions, and percents
• Probability of two independent events