Area
Outcomes
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MA4-13MG
Uses formulas to calculate the areas of quadrilaterals and circles, and converts between units of area
- Choose appropriate units of measurement for area and convert from one unit to another (ACMMG195)
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Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159)
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Develop and use the formulas to find the areas of rectangles and squares:
Area of a rectangle = lb where l is the length and b is the breadth (or width) of the rectangle
Area of square = s squared where s is the side length of the square
Examples
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Find the areas of simple composite figures that may be dissected into rectangles, squares, parallelograms and triangles
Examples
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Develop and use the formulas to find the areas of rectangles and squares:
Area of a rectangle = lb where l is the length and b is the breadth (or width) of the rectangle
Area of square = s squared where s is the side length of the square
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Find areas of trapeziums, rhombuses and kites (ACMMG196)
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Develop, with or without the use of digital technologies, and use the formula to find the areas of kites and rhombuses:
Area of rhombus/kite = 1/2xy where x and y are the lengths of the diagonals
Examples
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Develop and use the formula to find the areas of trapeziums:
Area of trapezium = 1/2h (a + b) where h is the perpendicular height and a and b are the lengths of the parallel sides
Examples
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Select and use the appropriate formula to find the area of any of the special quadrilaterals
Examples
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Solve a variety of practical problems relating to the areas of triangles and quadrilaterals
Examples
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Develop, with or without the use of digital technologies, and use the formula to find the areas of kites and rhombuses:
Area of rhombus/kite = 1/2xy where x and y are the lengths of the diagonals
- Investigate the relationship between features of circles, such as the area and the radius; use formulas to solve problems involving area (ACMMG197)