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Mathematics · Grade 5

Classify Shapes and Model Multi-Step Problems

Learners classify triangles and quadrilaterals by their properties and organise them in a hierarchy, explaining why every square is also a rectangle and a rhombus. The second half of the course pulls the whole year together: learners plan, solve and check multi-step problems that combine fractions, decimals, volume and unit conversion, and critique flawed solutions.

  • 4 lessons
  • About 90 minutes
  • Shapes and modeling check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, type a number, put in order and sort into groups
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Classify triangles by sides and angles and quadrilaterals by parallel sides, equal sides and right angles.
  • Explain a hierarchy of two-dimensional figures: properties of a category belong to all of its subcategories.
  • Plan and solve multi-step real-world problems that combine fractions, decimals, volume and unit conversion.
  • Check solutions for reasonableness and units, and find and fix errors in a worked solution.

Lessons

  1. Classify by properties 7 steps4 practiceabout 22 min
  2. The family tree of quadrilaterals 7 steps4 practiceabout 20 min
  3. Plan and solve multi-step problems 7 steps4 practiceabout 24 min
  4. Check, critique and fix 7 steps4 practiceabout 24 min
  5. Shapes and modeling 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