Perimeter and Area Problems
This open ended task has students exploring the relationship between area and perimeter to problem solve a range of questions. Using a geoboard or dot paper, students will investigate the largest and smallest areas of shapes they can create whilst retaining the same perimeter length.
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Learning goals
- We are learning to solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units.
- We are learning to calculate perimeter and area of rectangles using familiar metric units.
Curriculum alignment
MA3-1WM
old
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
MA3-3WM
old
Gives a valid reason for supporting one possible solution over another
MA3-9MG
old
Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
MA3-10MG
old
Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
MA3-AR-01
new
Selects and applies appropriate strategies to solve addition and subtraction problems
MA3-GM-02
new
Selects and uses the appropriate unit and device to measure lengths and distances including perimeters
MA3-2DS-02
new
Selects and uses the appropriate unit to calculate areas, including areas of rectangles
MA3-2DS-03
new
Combines, splits and rearranges shapes to determine the area of parallelograms and triangles
Australian Curriculum covers QLD / SA / WA / NT / TAS / ACT.