• In Grade 7, instructional time should focus on four critical areas: (1) developing understanding of and applying proportional relationships; (2) developing understanding of operations with rational numbers and working with expressions and linear equations; (3) solving problems involving scale drawings and informal geometric constructions, and working with two- and three-dimensional shapes to solve problems involving area, surface area, and volume; and (4) drawing inferences about populations based on samples.


    Ratios and Proportional Relationships

    • Analyze proportional relationships and use them to solve real-world and mathematical problems.

    The Number System

    • Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

    Expressions and Equations

    • Use properties of operations to generate equivalent expressions.
    • Solve real-life and mathematical problems using numerical and algebraic expressions and equations.


    • Draw, construct and describe geometrical figures and describe the relationships between them.
    • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

    Statistics and Probability

    • Use random sampling to draw inferences about a population.
    • Draw informal comparative inferences about two populations.
    • Investigate chance processes and develop, use, and evaluate probability models.