Area of basic shapes only (squares, rectangles, triangles, parallelograms, kite)

Calculate the area of squares, rectangles, triangles, parallelograms, and kites using the standard area formulas, and work backwards from a given area to find a missing height, diagonal, or side.

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Te reo Māori terms

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • GM4-3
  • GM5-3
New NZC (2026)
  • NZC26-P4-MEA-MEA-P-Y9-03
  • NZC26-P3-MEA-MEA-K-Y7-01
  • NZC26-P3-MEA-MEA-K-Y7-06
  • NZC26-P3-MEA-MEA-K-Y8-02
  • NZC26-P3-MEA-MEA-P-Y7-03
  • NZC26-P3-MEA-MEA-P-Y8-04
  • NZC26-P3-MEA-MEA-P-Y8-05
  • NZC26-P3-MEA-MEA-P-Y8-06

Resources

  • Alpha textbook: Counting Squares in Ex 23.01 on pg 355,
  • Alpha textbook: Rectangles in Ex 23.02 on pg 357-359
  • Alpha textbook: Triangles in Ex 23.03 on pg 360 & 361
  • Alpha textbook: Parallelograms in Ex 23.04 on 362 & 363
  • CorbettMaths worksheet (Rectangle)Questions PDF · Answers
  • CorbettMaths worksheet (Triangle)Questions PDF · Answers
  • CorbettMaths worksheet (Parallelogram)Questions PDF · Answers
  • Beta: Skills in Ex 15.01, 15.04, 15.05, pg 280, 288, 290
  • Beta: Various from chapter 15

Terminology

  • area
  • base
  • perpendicular height
  • square units
  • square
  • rectangle
  • parallelogram
  • triangle
  • kite

Task goals

  • Calculate the area of a square or rectangle from its side lengths.
  • Calculate the area of a triangle or parallelogram from its given base and perpendicular height.
  • Calculate the area of a kite from its two diagonals, using the formula half the product of the diagonals.
  • Calculate the area of a triangle whose height is given as a multiple of its base, by first finding the height.
  • Convert between related units (e.g. cm and m) before calculating an area.
  • Work backwards from a given area to find a missing perpendicular height, diagonal, or side length, and use area formulas to compare or explain why two different shapes can have equal area.

Where this fits

What leads into this objective, and where it goes next.

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Area of basic shapes only (squares, rectangles, triangles, parallelograms, kite)

Area of basic shapes only (squares, rectangles, triangles, parallelograms, kite)

Do

Finding: the perimeter of 2D shapes; the circumference of circles; the area of parallelograms, trapeziums, and kites, relating the formulae used to the formula for a rectangle

Statement▸
Year 9 · Measurement · Measuring
NZC26-P4-MEA-MEA-P-Y9-03

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