Mathematics, Grade 7

Unit 1: Fractions, Decimals, and Percent

Ordering fractions and decimals, percent as fraction and decimal, and repeating and terminating decimals.

• Positioning fractions on a number line
• Ordering fractions, decimals, and whole numbers

• Percent as a fraction and a decimal
• Terminating and repeating decimals
• Writing decimals as fractions

Unit 2: Divisibility

Divisibility rules and using them to find factors.

• Divisibility rules and factors

Unit 3: Operations with Decimals, Fractions, and Integers

Decimal operations with estimation, adding and subtracting fractions, integer addition and subtraction, and percent problems.

• Front-end estimation with decimals
• Adding and subtracting decimals
• Multiplying and dividing decimals

• Solving percent problems

• Adding fractions and finding common denominators
• Adding and subtracting unlike fractions
• Adding and subtracting mixed numbers

• Adding integers
• Subtracting integers

Unit 4: Linear Relations

Representing patterns as expressions and linear relations, building tables, and graphing.

• Representing patterns with expressions and equations
• Linear relations in context

• Making tables of values
• Graphing linear relations

Unit 5: Variables and Linear Equations

Preservation of equality, expressions versus equations, and solving one-step and two-step linear equations.

• Preserving equality
• Variables, expressions, and equations

• Solving one-step equations
• Modelling two-step equations
• Solving two-step equations

Unit 6: Area and Circles

Area of parallelograms and triangles, and the parts and measures of a circle.

• Area of a parallelogram
• Area of a triangle

• Radius, diameter, and central angles
• Circumference, diameter, and pi
• Area of a circle

Unit 7: Geometry and the Coordinate Plane

Parallel and perpendicular lines and bisectors, the four-quadrant plane, and transformations across quadrants.

• Parallel, perpendicular, and bisectors
• Constructing parallels, perpendiculars, and bisectors

• Plotting in four quadrants
• Movements, distances, and shapes on the plane

• Transformations on the coordinate plane

Unit 8: Data Analysis

Circle graphs, measures of central tendency, and outliers.

• Reading and creating circle graphs

• Mean, median, mode, and range
• Outliers and their effect

Unit 9: Probability

Probability of a single outcome and of two independent events.

• Probability of a single outcome
• Independent events and sample space
• Probability of two independent events