Lessons
6Area and Perimeter: Parallelogram and Rhombus
Derive the area formula of a parallelogram by cut-and-translate, and calculate the perimeter and area of parallelograms and rhombi with unit conversions.
Area and Perimeter: Kites
Decompose a kite into two isosceles triangles to derive the diagonal area formula, and use the Theorem of Pythagoras for missing lengths.
Area and Perimeter: Trapeziums
Derive the area of a trapezium by tessellating two trapeziums into a parallelogram, and calculate areas with unit conversions.
Area and Perimeter: Circles
Calculate the circumference and area of circles, determine radii from circumferences, and find areas of shaded regions.
Converting Between Square Units
Convert between mm², cm², m² and km² by squaring the scale factor, and use the correct units in area calculations.
Doubling Dimensions: Perimeter and Area
Investigate the effect of doubling one or both dimensions on the perimeter and area of rectangles, squares, triangles, parallelograms and kites.