Canada · Ontario Curriculum Expectations
Grade 7 Mathematics
A comprehensive exploration of proportional reasoning, algebraic thinking, and spatial awareness. Students move beyond procedures to develop a deep conceptual understanding of how mathematical structures model the world around them.
Number Sense and Proportional Thinking
Developing fluency with integers, fractions, and decimals while exploring the power of ratios and rates in everyday contexts.
Understanding the addition and subtraction of positive and negative integers through number line models and real world vectors.
Connecting ratios to unit rates and using proportional reasoning to solve complex multi step problems.
Applying percentage increases and decreases to financial literacy topics like discounts, taxes, and interest.
Algebraic Expressions and Equations
Transitioning from arithmetic to symbolic algebra by modeling relationships with variables and solving linear equations.
Using variables to represent unknown quantities and simplifying expressions by combining like terms.
Mastering the balance method to isolate variables and solve for unknowns in linear equations.
Representing ranges of possible solutions using inequalities and graphing them on a number line.
Geometric Relationships and Construction
Exploring the properties of two dimensional shapes, angle relationships, and scale drawings.
Investigating complementary, supplementary, vertical, and adjacent angles to solve for unknown values.
Discovering the constant relationship between circumference and diameter and calculating area.
Using proportions to create and interpret scale versions of maps and blueprints.
Surface Area and Volume
Analyzing three dimensional figures and calculating the space they occupy and the area that covers them.
Visualizing 3D shapes through nets and calculating total surface area.
Developing the formula for volume by understanding layers of area.
Describing the 2D cross sections that result from slicing three dimensional solids.
Data Analysis and Statistics
Using sampling techniques to make inferences about populations and comparing data sets using measures of center.
Distinguishing between biased and representative samples to ensure valid conclusions.
Using mean, median, and mean absolute deviation to compare two different populations.
Creating and interpreting box plots and histograms to identify trends and patterns.
Probability and Chance
Investigating the likelihood of events and using theoretical and experimental models to predict outcomes.
Calculating the mathematical likelihood of simple and compound events.
Conducting trials and comparing observed results to expected theoretical values.
Using probability to assess risk and make informed predictions in games and insurance.