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Mathematics · 1st Class

Active learning ideas

Finding Half of a Set

Let's become experts at fair sharing! Today we'll discover a special maths word for sharing a group of things equally between two people: 'half'.

NCCA Curriculum SpecificationsPSMC: Number - Fractions
10–20 minPairs → Whole Class3 activities

Activity 01

Stations Rotation15 min · Pairs

Teddy Bear's Picnic

Pupils are tasked with preparing for a picnic for two teddy bears. They must share out items like counters (biscuits) or cubes (sandwiches) equally between the two bears to ensure each gets half.

Identify half of a group of 8 counters.

Facilitation TipEncourage pupils to use the 'one for me, one for you' method to ensure fair sharing.

What to look forTeacher observation during activities. Use a checklist to note which pupils can successfully partition a set and use the correct vocabulary.

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Activity 02

Stations Rotation20 min · Small Groups

Halving Station Sorting

Set up stations with different quantities of objects (e.g., 6 pencils, 8 erasers, 10 beads). In pairs, pupils visit each station, divide the set in half, and record their findings by drawing the two equal groups.

Explain the steps you take to find half of 10 blocks.

Facilitation TipProvide sorting trays or hoops to help pupils visually separate the two groups.

What to look forExit Ticket: Give each pupil a small drawing of a set of objects (e.g., 8 ladybirds) and ask them to circle half of them.

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Activity 03

Stations Rotation10 min · Individual

Building Block Halves

Give each pupil a set of an even number of building blocks. Ask them to build two towers that are the exact same height, thereby splitting the set in half. They can then count the blocks in one tower to find what half is.

Compare finding half of 6 items with finding half of 4 items.

Facilitation TipThis activity visually reinforces the concept of 'equal' groups.

What to look forThumbs up, middle, or down. Ask pupils: 'Show me with your thumb how confident you feel about finding half of a set of 10 cubes.'

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Templates

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A few notes on teaching this unit

Start with physical objects and the story of two friends who must share everything fairly. Model the 'one for you, one for me' strategy explicitly. After several examples, introduce the term 'half' to label one of the two equal groups they have created. Constantly reinforce the idea that the two groups must be equal for it to be called a half.

By the end of this, your pupils will be able to take a group of up to 20 items, share them into two equal piles, and tell you how many are in one half.


Watch Out for These Misconceptions

  • Half just means splitting a set into any two smaller groups, regardless of whether they are equal.

    Explain that 'half' is a special word in maths that means splitting something into two perfectly fair or equal shares. Use a balance scale with cubes to demonstrate that the two groups must 'weigh' the same.

  • When asked to find half of 8, the pupil says the answer is 2 because there are two groups.

    Clarify that we want to know how many are in *one* of the groups after we have shared them out. Count the items in one of the two equal groups together to find the answer.

  • Believing that odd numbers can be halved just as easily, resulting in a 'messy' answer or frustration.

    Acknowledge that it's tricky. Use objects to show that with an odd number, there is always one 'left over' after sharing. For now, explain that in First Class maths, we only find half of even numbers to keep it fair and simple.


Methods used in this brief