Measurement and Geometry | Area of Trapeziums | Math Manipulatives Part 1

Math Manipulatives Part 1 flipbook about the Trapezium Area

A series of fun activities to practice using different types of 2D shapes to prove and establish the trapezium area formula.

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.
develop critical thinking skills and the ability to identify patterns and
apply mathematical principles to real-world problems.

Task 1:
To prove the area of a trapezium is half of a parallelogram.

Task 2:
To prove the area of a trapezium is the sum of two triangles.

Task 3:
To prove the area of a right trapezium is half of a rectangle.

Skill Level: Easy

Grades: 6th to 9th

** Learning Outcomes:**

• 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 mathematical methods using other two-dimensional shapes to find the trapezium area.

Australian Curriculum:

• Manipulate, classify and draw two-dimensional shapes, including equilateral, isosceles and scalene triangles and describes their properties (MA3-15MG).
• 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)

Total pages: 28 (Covers + Tasks + Answers)

Geometry Resources:
Math Manipulatives Part 2 flipbook about the Trapezium Area
Geometry | The Angle Sum of a Triangle | Printable Activity