Mathematics, Grade 7

Unit 1: Number

Divisibility rules, four operations with decimals, percents, repeating and terminating decimals, fraction and integer operations, and ordering across number systems.

• Divisibility rules
• Four operations with decimals
• Percent problems
• Repeating and terminating decimals
• Adding and subtracting fractions
• Adding and subtracting integers
• Ordering with benchmarks and place value
• Ordering with equivalent fractions and decimals

Unit 2: Patterns and Relations

Oral and written patterns and relations, tables and graphs, preservation of equality, expressions versus equations, evaluating expressions, and one- and two-step linear equations.

• Patterns and their relations
• Tables, graphs, and conclusions
• Preservation of equality
• Expressions versus equations
• Evaluating expressions
• One-step equations x + a = b
• Linear equations ax + b = c

Unit 3: Shape and Space

Circles and pi, area formulas, geometric constructions, the four-quadrant Cartesian plane, and transformations across all quadrants.

• Radius, diameter, and pi
• Central angles and circle problems
• Area of triangles and parallelograms
• Area of circles
• Perpendicular and parallel line segments
• Perpendicular and angle bisectors

• Plotting in four quadrants
• Transformations across quadrants

Unit 4: Statistics and Probability

Central tendency and range, the effect of outliers, circle graphs, expressing probabilities, sample space, and the probability of two independent events.

• Central tendency and range
• The effect of outliers
• Circle graphs
• Expressing probabilities
• Sample space of two events
• Probability of two independent events