Mathematics, Grade 7

Unit 1: Number

Divisibility, decimal operations, percents, integer operations, and comparing and ordering fractions, decimals, and whole numbers.

• Divisibility rules
• Why we cannot divide by zero
• Adding and subtracting decimals
• Multiplying and dividing decimals
• Percent problems

• Adding and subtracting integers
• Multiplying and dividing integers
• Comparing with benchmarks and place value
• Comparing with equivalent forms

Unit 2: Patterns and Relations

Linear relations from tables and graphs, preservation of equality, expressions versus equations, evaluating expressions, and solving linear equations.

• Graphing a linear relation
• Modelling preservation of equality
• Applying equality to solve equations
• Expressions versus equations

• Evaluating expressions
• One-step linear equations
• Multi-form linear equations
• Simple linear equations

Unit 3: Shape and Space

Circles and their measures, the area of triangles, parallelograms, and circles, and the Cartesian plane.

• Radius, diameter, and circumference
• Sum of the central angles
• Constructing circles
• Solving circle problems

• Area of triangles
• Area of parallelograms
• Area of circles
• The Cartesian plane

Unit 4: Statistics and Probability

Measures of central tendency and range, the effect of outliers, expressing probabilities, and the sample space of two independent events.

• Mean, median, mode, and range
• Choosing the best measure
• The effect of an outlier
• Expressing probabilities
• Sample space of two events