Mathematics · 3rd Class

Active learning ideas

Understanding Equal Parts

Let's get ready to slice, share, and see maths in a whole new way! This topic introduces fractions by focusing on the simple, hands-on idea of making fair shares.

• NCCA Curriculum Specifications
• PSMC: Number - Fractions (3rd/4th Class)

• 15–20 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Think-Pair-Share
• 20 min · Small Groups

Pizza Fractions Party

Pupils use paper plate 'pizzas' and cut them into equal slices to represent halves and quarters. They can then decorate the slices and discuss how many slices make up the whole pizza.

Explain why a shape must be divided into equal parts to show a fraction.

Facilitation Tip

Use pre-drawn lines on the back of the plates to guide pupils in making equal cuts.

What to look for

Circulate and observe as pupils complete the 'Fraction Folding' activity. Note their ability to create equal parts and use the correct vocabulary to describe them.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 02

• Think-Pair-Share
• 15 min · Pairs

Fraction Folding

Give each pupil several identical strips of coloured paper. They fold one in half, another into quarters, and leave one as the 'whole' to visually compare the sizes of the parts.

Identify the numerator and denominator in the fraction 3/4 and describe what each number represents.

Facilitation Tip

Encourage pupils to label each folded section with the correct fraction, like 1/2 or 1/4.

What to look for

Use an 'exit ticket': provide pupils with a drawing of a circle and ask them to divide it into quarters and shade 3/4.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 03

• Think-Pair-Share
• 15 min · Individual

Play-Doh Portions

Each pupil gets a ball of Play-Doh and is asked to divide it into two, then four, equal portions. This tactile activity reinforces the concept that the parts must be the same size.

Compare a shape divided into halves with a shape divided into quarters.

Facilitation Tip

Provide balance scales so pupils can check if their portions are truly equal in weight.

What to look for

A simple worksheet showing various shapes. Pupils must circle the shapes that are divided into equal parts and write the fraction for the shaded area.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Start with real, tangible objects that pupils can physically divide, like Play-Doh or paper shapes. Constantly use the key vocabulary: 'whole', 'equal parts', 'half', and 'quarter'. Only after they have a solid concrete understanding should you move on to drawing fractions and writing the symbols.

By the end of this topic, your pupils will be able to confidently divide shapes into equal parts and explain what the numerator and denominator of a fraction mean.

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Watch Out for These Misconceptions

• Any shape that is cut into parts shows a fraction.

  A fraction can only be used to describe a whole that has been divided into equal parts. If the parts are not the same size, they are not fractions of the whole.

• The bigger the number on the bottom (denominator), the bigger the piece.

  The denominator tells us how many equal pieces the whole is split into. The more pieces we have, the smaller each piece must be. So, 1/4 is smaller than 1/2.

• Confusing the roles of the numerator and denominator.

  Remember, the denominator down below tells us the total number of parts. The numerator up on top tells us how many of those parts we are counting or looking at.

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Methods used in this brief

• Think-Pair-Share