Standards Lists for Grade 6-8 Level Math

Grade 6 Overview (Math F)

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Geometry

  • Solve real-world and mathematical problems involving area, surface area, and volume.

Ratios and Proportional Relationships

  • Understand ratio concepts and use ratio reasoning to solve problems.

The Number System

  • Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
  • Multiply and divide multi-digit numbers and find common factors and multiples.
  • Apply and extend previous understandings of numbers to the system of rational numbers.

Expressions and Equations

  • Apply and extend previous understandings of arithmetic to algebraic expressions.
  • Reason about and solve one-variable equations and inequalities.
  • Represent and analyze quantitative relationships between dependent and independent variables.

Statistics and Probability

  • Develop understanding of statistical variability.
  • Summarize and describe distributions.

Grade 7 Overview (Math G)

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

Geometry

  • 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.

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.

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.

Grade 8 Overview (Math H)

Mathematical Practices

  • Make sense of problems and persevere in solving them.
  • Reason abstractly and quantitatively.
  • Construct viable arguments and critique the reasoning of others.
  • Model with mathematics.
  • Use appropriate tools strategically.
  • Attend to precision.
  • Look for and make use of structure.
  • Look for and express regularity in repeated reasoning.

The Number System

  • Know that there are numbers that are not rational, and approximate them by rational numbers.

Geometry

  • Understand congruence and similarity using physical models, transparencies, or geometry software.
  • Understand and apply the Pythagorean Theorem.
  • Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

Expressions and Equations

  • Work with radicals and integer exponents.
  • Understand the connections between proportional relationships, lines, and linear equations.
  • Analyze and solve linear equations and pairs of simultaneous linear equations.

Functions

  • Define, evaluate, and compare functions.
  • Use functions to model relationships between quantities.

Statistics and Probability

  • Investigate patterns of association in bivariate data.