Middle School and Junior High Math Milestones

Sixth Grade Students will be able to:

  • master four arithmetic operations with whole numbers, positive fractions, positive decimals, and positive and negative integers
  • solve one and two step word problems
  • analyze data
  • understand mean, median, and mode, and how to calculate range
  • understand ratios and proportions
  • understand pi and the formulas for the circumference and area of a circle
  • solve one-step linear equations
  • determine the discount price and sales price
  • choose and use appropriate problem solving strategies

Seventh Grade Students will be able to:

  • understand how to manipulate numbers and equations and how its principles work
  • understand the Pythagorean theorem
  • compute the surface area and volume based on three-dimensional objects
  • understand fractional numbers (fractions, percents, and decimals)
  • solve word problems involving customary and metric measurement
  • solve simple interest problems using amount times rate times time
  • solve word problems involving distance, rate, and time
  • graph linear functions and understand the idea of slope and its relation to ratio
  • add and subtract fractions to find common denominators
  • use logic to solve problems
  • choose and use appropriate problem solving strategies

Eighth Grade Students will be able to:

  • understands the rules of exponents
  • solve equations and inequalities involving absolute value
  • simplify expressions before solving linear equations and inequalities in one variable (e.g., 3(2x-5) + 4(x-2) = 12
  • add, subtract, multiply, and divide monomials and polynomials
  • simplify fractions with polynomials in the numerator and denominator by factoring both and reducing them to lowest terms
  • solve quadratic equations
  • calculate unit rates or the unit cost using a proportion
  • graph quadratic functions and knows the roots are the x-intercept
  • understand geometric terms, such as axioms, theorems, and inductive and deductive reasoning
  • prove triangles are congruent or similar

This information has been adapted from the California State Board of Education’s web site and was adopted by the California State Board of Education, December 1997.