All Activities
Maths

Fractions of Shapes: Equal Parts

Overview

Using folded paper and drawn shapes, students explore what makes a fraction valid — equal parts — and practise identifying and shading fractions.

Learning Objective
Students identify halves, quarters, and thirds of shapes by checking whether all parts are equal in size, and shade a given fraction.

Resources needed

  • Plain paper for folding
  • Coloured pencils
  • Printed shapes sheet (or draw on board)

Lesson stages

0 / 7 done
  1. 1 Fold a piece of paper in half — but deliberately make it unequal. Ask: 'Have I made two halves?' Students discuss. Refold to make equal halves. 'Now I have two halves — because they are EQUAL.'
  2. 2 Display: half = 2 equal parts. Quarter = 4 equal parts. Third = 3 equal parts. 'The bottom number tells us how many equal parts the whole is split into.'
  3. 3 Students fold their paper into halves, then quarters (fold in half again). Unfold and count the sections. Shade one section. 'What fraction is shaded?' Students label: 1/4.
  4. 4 Display a series of shapes — some correctly split into halves/quarters/thirds, some incorrectly. Students identify which are valid fractions and explain why the others are not.
  5. 5 Students receive a sheet of shapes and instructions: 'Shade one half of the square. Shade three quarters of the rectangle. Shade one third of the circle.' They shade and write the fraction.
  6. 6 Display statements: 'Half of 8 is 4.' / 'A quarter is bigger than a half.' / 'If I fold a circle into 3 equal parts, one part is one third.' Students vote and justify.
  7. 7 Draw a rectangle. Students split it into quarters and shade 3/4. Write the fraction in numerals and words.

Tap a step to mark it as done.

Variations

  • Extend to non-unit fractions (3/4, 2/3)
  • Compare fractions: which is larger, 1/2 or 1/4? Draw to prove
  • Find fractions of quantities (half of 10, quarter of 8)
More information

Teach: numerator (top — how many shaded), denominator (bottom — how many equal parts). Display both words throughout. Use visual fraction walls.

Provide pre-drawn shapes for students who find drawing difficult. Use physical fraction pieces if available. Focus on halves only for those needing more time.

Do students understand that all parts must be equal? Can they shade a given fraction correctly? Do they write fractions in numerals (1/2) not just words?

Use folded paper throughout — no printed materials needed. Students draw shapes freehand.

Students may shade any part of a shape without checking equality. Reinforce the rule: 'All parts must be the same size to be a fraction.'