Measurement applications: simple shapes

Solve substantial, realistic measurement problems that chain a perimeter or area calculation of a rectangle, triangle, parallelogram, trapezium, or circle through a unit conversion to a quantity of material, a discrete purchase, and a cost, and make and justify a decision from the result.

All resources Download All ⬇

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Resources

Terminology

  • Area
  • Perimeter
  • Circumference
  • Rectangle
  • Triangle
  • Parallelogram
  • Trapezium
  • Circle
  • Radius
  • Diameter
  • Unit conversion

Task goals

  • Calculate the area or perimeter of a rectangle, triangle, parallelogram, trapezium, or circle from a realistic scenario.
  • Convert between units of length (e.g. cm to m) before calculating an area, perimeter, or circumference, and recognise that area conversion factors are squared.
  • Use a calculated area, perimeter, or circumference to find a quantity of material needed for a real task.
  • Calculate the total cost of a quantity of material, rounding a discrete purchase (tins, rolls, sheets, packs) UP to the next whole item and money to the nearest cent.
  • Compare two real options by total cost and/or value per unit area, and check whether each meets a stated constraint such as a budget or a free-delivery threshold.
  • Write a short, numbers-based justification for a real-world measurement decision.

Key skills

  • Calculate area simple shapes
  • Calculate perimeter simple shapes
  • Calculate circumference and circle area
  • Convert measurement units in context
  • Calculate quantity of material from area or length
  • Calculate cost from quantity and unit price
  • Round discrete purchases up to whole units
  • Compare and justify a real world measurement decision

Quick stats

  • 81 total questions
  • 3 difficulty levels
  • Answers included