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Mathematics · Grade 5

Numerical Expressions and Patterns

Learners evaluate expressions with parentheses, brackets and braces, translate words into expressions and reason about expressions without calculating them. They then build two numerical patterns from two rules, line up corresponding terms as ordered pairs and explain the relationship between them, before modelling costs and savings with expressions.

  • 4 lessons
  • About 80 minutes
  • Expressions and patterns check: 10 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

  • Evaluate numerical expressions that use parentheses, brackets and braces, following the order of operations.
  • Write numerical expressions from words and interpret expressions without evaluating them.
  • Generate two numerical patterns from two rules, form ordered pairs of corresponding terms and explain the relationship between them.
  • Model a multi-step real situation with an expression or a pair of patterns and evaluate it.

Lessons

  1. Grouping symbols and order of operations 9 steps6 practiceabout 20 min
  2. Write and interpret expressions 7 steps4 practiceabout 20 min
  3. Two patterns side by side 9 steps5 practiceabout 20 min
  4. Model real situations 6 steps3 practiceabout 20 min
  5. Expressions and patterns 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.
  • Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.

More 5th grade math

Guide for grown-ups