Support · Mathematics Standard 11–12 – Year 11 · Applications of measurement
Support Apply the Trapezoidal rule A ≈ h/2(d_f + d_l), where A is the area, d_f and d_l are the lengths of the parallel sides of the trapezium, d_f is the first length and d_l is the last length, and h is the perpendicular distance between them, to solve a variety of practical problems involving area, volume and capacity for up to four applications
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Develop and apply the formula to find the area of a trapezium: A = h/2(a + b), where h is the perpendicular height and a and b are the lengths of parallel sides
Stage 4 · Area Draft mapping
- Interactive toolStarterMaths Is Fun: TrapeziumUse it for: Interactive trapezium with area formula.
- Corbettmaths practice questions: Area: trapeziumUse it for: Free printable graded practice questions (with answers) on area: trapezium for drill or a quick check.
- WorksheetDrillKuta free worksheet: Area of trapezoidsUse it for: Printable skills-practice sheet with answer key on area of trapezoids; good for drill or homework.
- WorksheetDrillKuta free worksheet: Area of trapezoids (trapeziums)Use it for: Printable skills-practice sheet with answer key on area of trapezoids (trapeziums); good for drill or homework.
- VideoStarterCorbettmaths video: Area: trapeziumUse it for: Short worked-example video on area: trapezium to model the method before practice or for flipped revision.
Develop and apply the formula to find the area of a parallelogram: A = bh where b is the base length and h is the perpendicular height
Stage 4 · Area Draft mapping
- Interactive toolStarterMaths Is Fun: Area of plane shapesUse it for: Area formulas for common shapes.
- Corbettmaths practice questions: Area: parallelogramUse it for: Free printable graded practice questions (with answers) on area: parallelogram for drill or a quick check.
- WorksheetDrillKuta free worksheet: Area of squares, rectangles and parallelogramsUse it for: Printable skills-practice sheet with answer key on area of squares, rectangles and parallelograms; good for drill or homework.
- WorksheetDrillKuta free worksheet: Understanding the parallelogram area formulaUse it for: Printable skills-practice sheet with answer key on understanding the parallelogram area formula; good for drill or homework.
- VideoStarterCorbettmaths video: Area: parallelogramUse it for: Short worked-example video on area: parallelogram to model the method before practice or for flipped revision.
Solve problems involving the perimeter of plane shapes, including parallelograms, trapeziums, rhombuses and kites
Stage 4 · Length Draft mapping
- Interactive toolStarterMaths Is Fun: PerimeterUse it for: Perimeter of shapes.
- Corbettmaths practice questions: PerimeterUse it for: Free printable graded practice questions (with answers) on perimeter for drill or a quick check.
- VideoStarterCorbettmaths video: PerimeterUse it for: Short worked-example video on perimeter to model the method before practice or for flipped revision.