Measurement and Geometry | Area of Trapeziums | Problem Solving

Solving the trapezium problems.
Tasks to practice working mathematically, applying strategies and reasoning to solve trapezium shape problems.

This activity will help students to:

• practise working mathematically, applying strategies and reasoning involving 2D shapes.
• understand the relationship between shapes and areas.
• improve problem-solving skills and understanding of mathematical language and notation.
• apply mathematical principles to real-world problems.

Task 1: Trapezium Field
Students solve two trapezium problems (right trapezium and isosceles trapezium).

Task 2: Trapezium Resort
Students solve problems involving trapezium and triangles in a hexagonal field.

Task 3: Trapezium Garden
Students solve problems involving congruent isosceles trapeziums and triangles in a rectangular field.

Total pages in each set: 8
Easy classroom preparation: Just print then glue each page onto students’ notebooks or staple all pages together.
Answer keys are also included.

Skill Level: Easy

Grades: 6th to 9th

Key Learnings:

• Demonstrate that the trapezium area is the average length of its parallel sides multiplied by the perpendicular height. A = h/2(a + b)
• Apply strategies, reasoning, and explain mathematical relationships to solve trapezium and other 2D shape problems.

Australian Curriculum:

• Recognise and explain mathematical relationships using reasoning (MA4-3WM).
• Apply appropriate mathematical techniques to solve problems (MA4-2WM)
• Communicate and connect mathematical ideas using appropriate terminology, diagrams and symbols (MA4-1WM)
• Establish the formulas for areas of rectangles, triangles and parallelograms and use these in problem solving (ACMMG159)
• Find areas of trapeziums, rhombuses and kites (ACMMG196)

Resources about Trapeziums:
Trapezium Area: Lesson Notes + Worksheets + Answers
Math Manipulatives Part 1 for the Trapezium Area
Math Manipulatives Part 2 for the Trapezium Area
Solving Trapezium Problems