Grade 5 Mathematics - Operations with Numbers

Explore the Operations with Numbers strand of the Grade 5 Mathematics curriculum. Develop fluency with multi-digit operations and extend understanding to fractions and decimals.

Grade Five Expectations for Operations with Numbers

Essential Learning Outcome 1: Whole Number Operations

  • Fluently multiply multi-digit whole numbers using the standard algorithm
  • Find whole-number quotients of whole numbers with up to four-digit dividends
  • Use parentheses, brackets, or braces in numerical expressions and evaluate expressions
  • Write simple expressions and interpret patterns in numerical expressions

Specific Curriculum Outcomes

By the end of Grade Five, the learner will be expected to:

Inclusive Assessment Strategies

Assessment strategies that provide information about learning:

  • Observations: Strategy use during problem solving
  • Conversations: Mathematical reasoning and explanations
  • Products: Computational fluency assessments

Sample Assessment Tools:

  • Multi-step problem solving rubrics
  • Computational fluency checks
  • Error analysis tasks

Inclusive Learning Strategies

Additional Resources and Materials

Manipulatives

  • Base-ten blocks and place value mats
  • Fraction bars, circles, and tiles
  • Decimal squares and grids
  • Multiplication and division arrays
  • Calculators for verification
  • Algorithm charts and reference sheets

Digital Resources

  • Virtual manipulatives for operations
  • Interactive algorithm demonstrations
  • Fraction and decimal operation tools
  • Problem-solving simulation games
  • Educational videos on operation strategies

Recommended Reading

  • "Teaching Student-Centered Mathematics" by John A. Van de Walle
  • "Building Thinking Classrooms in Mathematics" by Peter Liljedahl
  • "5 Practices for Orchestrating Productive Mathematics Discourse" by Margaret Smith