Skip to content
PlayOwl

Mathematics · Grade 6

Expressions and Equivalent Forms

Learners write and evaluate numerical expressions with whole-number exponents, then move to expressions with variables: writing them from words, naming their parts and evaluating formulas such as the area of a square and the volume of a cube. The course ends with equivalent expressions made with the distributive property and like terms, tested by substitution.

  • 4 lessons
  • About 90 minutes
  • Expressions and equivalent forms check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, type a fraction, match pairs, type a number and put in order
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Write and evaluate numerical expressions with whole-number exponents, following the order of operations.
  • Write expressions with variables from words and describe their parts using sum, difference, product, quotient, factor, term, coefficient and constant.
  • Evaluate expressions and formulas, including A = s² and V = s³, for given values of their variables.
  • Generate equivalent expressions with the distributive property and by combining like terms, and test whether two expressions are equivalent by substitution.

Lessons

  1. Exponents and the order of operations 9 steps6 practiceabout 22 min
  2. Writing and reading expressions with variables 9 steps6 practiceabout 22 min
  3. Evaluating expressions and formulas 9 steps6 practiceabout 22 min
  4. Equivalent expressions 9 steps5 practiceabout 24 min
  5. Expressions and equivalent forms check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.

More 6th grade math

Guide for grown-ups