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Mathematics · Grade 9

Expressions, Units and Structure

Learners write expressions from words and contexts and read the meaning of each part, use the properties of operations to produce and justify equivalent expressions (and to disprove false equivalences with counterexamples), evaluate formulas carefully, and use units and dimensional analysis to convert quantities and check that formulas make sense.

  • 4 lessons
  • About 110 minutes
  • Expressions and units check: 11 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, put in order and sort into groups
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What learners will discover

  • Write algebraic expressions from verbal descriptions and contexts, and interpret terms, factors and coefficients in context.
  • Use the distributive, commutative and associative properties to write equivalent expressions, justify each step, and disprove a false equivalence with a counterexample.
  • Evaluate expressions and formulas accurately, including substitution of negative values and exponents.
  • Convert units with dimensional analysis (including square units) and use units to check that a formula or answer makes sense.

Lessons

  1. Writing and reading expressions 7 steps4 practiceabout 26 min
  2. Equivalent expressions: prove and disprove 7 steps5 practiceabout 30 min
  3. Evaluating expressions and formulas 7 steps5 practiceabout 24 min
  4. Units, conversions and structure in formulas 8 steps5 practiceabout 26 min
  5. Expressions and units check 11 questions at the end

Keep exploring

More 9th grade math

Guide for grown-ups