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.
Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units
Calculate perimeter and area of rectangles using familiar metric units
Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units
Describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions
Gives a valid reason for supporting one possible solution over another
Selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
Selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
Selects and applies appropriate strategies to solve addition and subtraction problems
Selects and uses the appropriate unit and device to measure lengths and distances including perimeters
Selects and uses the appropriate unit to calculate areas, including areas of rectangles
Combines, splits and rearranges shapes to determine the area of parallelograms and triangles