Mathematics, Grade 7

Unit 1: Number

Divisibility, decimal operations, percents, repeating and terminating decimals, adding and subtracting fractions and integers, and comparing and ordering.

• Divisibility rules
• Adding and subtracting decimals
• Multiplying and dividing decimals
• Percents from 1% to 100%

• Repeating decimals and fractions
• Terminating decimals and fractions
• 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

Patterns and linear relations, tables and graphs, preservation of equality, expressions versus equations, and solving linear equations.

• Patterns and equivalent linear relations
• Tables, graphs, and analysis of linear relations
• Modelling preservation of equality
• Using preservation of equality to solve equations
• Expression versus equation
• Evaluating an expression
• One-step equations x + a = b
• Solving linear equations

Unit 3: Shape and Space

Circles and pi, area of triangles/parallelograms/circles, geometric constructions, and plotting and transforming shapes in four quadrants.

• Radius, diameter, circumference, and pi
• Sum of the central angles
• Constructing circles and solving circle problems
• Area of triangles
• Area of parallelograms
• Area of circles

• Perpendicular and parallel line segments
• Perpendicular bisectors and angle bisectors
• Plotting points in four quadrants
• Transformations in four quadrants

Unit 4: Statistics and Probability

Central tendency and outliers, circle graphs, and probability of two independent events.

• Determining central tendency and range
• Choosing the best measure of central tendency
• Effect of an outlier
• Circle graphs

• Probabilities as ratios, fractions, and percents
• Sample space for two independent events
• Comparing theoretical and experimental probability of two events