Grade 6

  • Understand ratio concepts and use ratio reasoning to solve problems.
  • Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
  • Compute fluently with multi-digit numbers and find common factors and multiples.
  • Applyl and extend previous understandings of numbers to the system of rational numbers.
  • 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.
  • Solve real-world and mathematical problems involving area, surface area, and volume.
  • Develop understanding of statistical variability.
  • Summerize and describe distributions.
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    Grade 7

  • Analyze proportional relationships and use them to solve real-world and mathematical problems
  • Apply and extend previous understrandings of operations with fractions to add, subtract, multiply, and divide rational numbers.
  • Use properties of operations to generate equivalent expressions.
  • Solve real-life and mathematical problems using numerical and algebraic expressions & equations.
  • Draw, construct, and describe geometrical figures and the relationships between them.
  • Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
  • 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.
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    Grade 8

  • Know that there are numbers that are not rational and approximate them by rational numbers.
  • Work with radicals and integer exponents
  • Understand the connection between proportional relationships, lines, and linear equations.
  • Analyze and solve linear equations and pairs of simultaneous linear equations.
  • Define, evaluate, and compare functions.
  • Use functions to model relationships between quantities.
  • 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.
  • Investigate patterns and association in divariate data.
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