Calculating the Area of Irregular Shapes

  • Calculating the Area of Irregular Shapes
  • Course: Mathematics
  • Grade: Year 7
  • Section: Area
  • Outcome: Calculate the area of irregular shapes.
  • Activity Type: Printable
  • Activity ID: 4564

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United Kingdom – National Curriculum

  • KS2 – Key Stage 2
    • KS2.Ma3 – Shape, space and measures
      • Knowledge, skills and understanding

        • Understanding measures

          • KS2.Ma3.4 – Pupils should be taught to:

            • KS2.Ma3.4.e – Find perimeters of simple shapes; find areas of rectangles using the formula, understanding its connection to counting squares and how it extends this approach; calculate the perimeter and area of shapes composed of rectangles.

        • Using and applying shape, space and measures

          • KS2.Ma3.1 – Pupils should be taught to:

            • Problem solving

              • KS2.Ma3.1.b – Select and use appropriate calculation skills to solve geometrical problems

Australia – Australian Curriculum

  • Year 6
    • Measurement and Geometry
      • Using units of measurement

        • ACMMG137 – Solve problems involving the comparison of lengths and areas using appropriate units

  • Year 7
    • Measurement and Geometry
      • Using units of measurement

        • ACMMG159 – Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving

New Zealand – National Standards

  • 7 – Year 7
    • 7.GM – Geometry and measurement
      • 7.GM.3 – Use side or edge lengths to find the perimeters and areas of rectangles and parallelograms and the volumes of cuboids, given whole-number dimensions

United States – Common Core State Standards

  • 6 – Grade 6
    • 6.G – Geometry
      • Mathematics

        • 6.G.1 – Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems.

  • 3 – Grade 3
    • 3.MD – Measurement & Data
      • Mathematics

        • 3.MD.7 – Relate area to the operations of multiplication and addition.

          • 3.MD.7.d – Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems.

  • 5 – Grade 5
    • 5.NF – Number & Operations—Fractions
      • Mathematics

        • 5.NF.4 – Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

          • 5.NF.4.b – Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.