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Mathematics · Grade 3

Properties and Fact Strategies

Learners use the properties of multiplication as tools: turn-around facts and the rules for 0 and 1, grouping three factors in a helpful order, and breaking a hard fact into two easier facts with an array (8 × 7 = 8 × 5 + 8 × 2). They then build efficient strategies such as doubling and 'ten groups minus one group' for nines.

  • 4 lessons
  • About 85 minutes
  • Properties check: 8 questions
  • Ways to answer: fill in the blanks, choose an answer, match pairs, type a number, sort into groups and true or false
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What learners will discover

  • Use the commutative property (turn-around facts) and the rules for multiplying by 0 and by 1.
  • Use the associative property to group three factors in a helpful order, such as 3 × 5 × 2 = 3 × 10.
  • Use the distributive property to break a fact into two easier facts, such as 8 × 7 = 8 × 5 + 8 × 2, and show it with an array.
  • Use fact strategies such as doubling (4s and 8s) and 'ten groups minus one group' (9s) to find products.

Lessons

  1. Turn-around facts, 0 and 1 4 steps2 practiceabout 20 min
  2. Grouping three factors 5 steps3 practiceabout 20 min
  3. Break apart a fact 5 steps2 practiceabout 23 min
  4. Fact strategies 5 steps2 practiceabout 22 min
  5. Properties check 8 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.
  • Paint by AnswersSolve each space, dip your brush and watch a picture come to life.
  • Place-Value WorkshopBuild numbers with rods and cubes — and trade ten ones for a ten.

More 3rd grade math

Guide for grown-ups