Mathematics, Grade 7

Unit 1: Number

Divisibility strategies, decimal operations and order of operations, relationships between decimals and fractions, fractional percents, adding and subtracting fractions, and adding and subtracting integers.

• Divisibility strategies
• Division involving zero

• Adding, subtracting, multiplying, and dividing decimals
• Order of operations with decimals

• Converting between fractions and decimals
• Ordering decimals, fractions, and whole numbers

• Finding fractional percents of a value

• Fractions with like denominators
• Fractions with unlike denominators

• Adding integers
• Subtracting integers

Unit 2: Patterns and Relations

Linear relations from patterns and graphs, equations and expressions, and one- and two-step linear equations.

• Writing linear relations from patterns
• Tables and graphs of linear relations

• Equations, expressions, and verifying solutions

• Preservation of equality in equations
• Solving equations and problems

• Modeling and solving integer equations

Unit 3: Shape and Space

Circles and central angles, area formulas, relationships between lines and angles, the four-quadrant Cartesian plane, and transformations across all four quadrants.

• Radius, diameter, and circumference
• Central angles

• Area of triangles and parallelograms
• Area of circles

• Identifying parallel and perpendicular relationships
• Constructing lines, angles, and bisectors

• Plotting points with integer coordinates

• Transforming shapes on the Cartesian plane

Unit 4: Statistics and Probability

Measures of central tendency and range, circle graphs, and theoretical and experimental probability for two independent events.

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

• Creating and interpreting circle graphs

• Theoretical probability of two events
• Experimental probability of two events