Mathematics · Year 1

Active learning ideas

Introduction to Fractions: Halves of Quantities

Active learning helps young students grasp the abstract concept of halves by turning it into concrete, hands-on experiences. When children physically share objects, fold paper, or divide real food, they connect the idea of equal shares to their own actions, making the learning more meaningful and memorable.

• National Curriculum Attainment Targets
• KS1: Mathematics - Fractions

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Experiential Learning
• 25 min · Pairs

Sharing Circle: Counter Halves

Place 10 counters in the centre. Pairs take turns sharing them equally into two bowls, checking by counting each side. Discuss if they match and record with drawings. Extend to predict halves of 8 or 12.

Explain how to find half of a group of 10 counters.

Facilitation Tip

During Sharing Circle: Counter Halves, circulate and ask students to explain why their two groups are the same size to reinforce verbal reasoning alongside physical action.

What to look for

Give each student 8 counters. Ask them to show you how to find half of the counters. Observe if they can physically separate the counters into two equal groups of 4.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 02

• Experiential Learning
• 30 min · Pairs

Fruit Fair Share: Real Food Division

Provide pairs of items like 6 grapes or 4 strawberries. Students wash, then halve by pulling apart or cutting safely with plastic knives. Compare shares visually and taste to confirm equality.

Predict what happens if you try to find half of an odd number of objects.

Facilitation Tip

During Fruit Fair Share: Real Food Division, encourage students to describe how they divided the fruit so each person gets the same amount, linking language to the activity.

What to look for

Provide students with a worksheet showing a group of 10 apples. Ask them to draw a line to divide the apples into two equal halves and write how many apples are in each half.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 03

• Experiential Learning
• 20 min · Whole Class

Paper Partition: Folding Halves

Give A4 paper rectangles. Students fold in half multiple ways, crease, and cut shapes to make two identical pieces. Whole class shares examples on the board, noting equal areas.

Justify why sharing equally is important when finding a half.

Facilitation Tip

During Paper Partition: Folding Halves, ask students to hold up their folded paper to show symmetry and discuss how the fold creates two equal parts.

What to look for

Present students with 7 toy cars. Ask: 'Can we share these cars equally between two people so each person gets half? Why or why not? What would happen if we tried?' Listen for explanations about odd numbers and unequal sharing.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

Activity 04

• Experiential Learning
• 35 min · Small Groups

Odd One Out: Group Challenge

Distribute odd numbers of objects like 9 beads per small group. Students attempt halving, discuss the leftover, and pair up remainders across groups to make even totals.

Explain how to find half of a group of 10 counters.

Facilitation Tip

During Odd One Out: Group Challenge, prompt groups to explain their choices and how they confirmed each share was fair.

What to look for

Give each student 8 counters. Ask them to show you how to find half of the counters. Observe if they can physically separate the counters into two equal groups of 4.

• Apply
• Analyze
• Evaluate
• Self-Awareness
• Self-Management
• Social Awareness

A few notes on teaching this unit

Teachers should start with concrete materials like counters or real food because young children learn best by doing. Avoid rushing to abstract symbols; let students verbalize their understanding before connecting it to written fractions. Research shows that guided peer discussion during activities strengthens comprehension, so structure time for students to explain their thinking to each other.

Students will confidently partition quantities into two equal groups and explain why the groups are fair. They will use words like 'half' and 'equal share' when describing their actions and results, showing they understand the purpose of equal division in everyday life.

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Watch Out for These Misconceptions

• During Sharing Circle: Counter Halves, watch for students who stop at 5 counters for one person without checking the other group or who cannot explain why 5 and 5 are equal.

  Ask the student to count each group aloud and compare the totals. Encourage them to move counters one by one until both groups match, reinforcing the idea of equal shares.

• During Paper Partition: Folding Halves, watch for students who fold unevenly or believe any fold creates two halves because the paper looks split in half visually.

  Provide a ruler to measure the fold or a small mirror to check symmetry. Have the student refold until the edges align perfectly, then reopen the paper to see the two equal parts.

• During Odd One Out: Group Challenge, watch for students who insist that half always means one exact share, even when the total is odd and cannot be split equally.

  Guide the group to physically divide the odd number of items and discuss what happens to the leftover piece. Ask them to explain why equal halves aren’t possible and how they might adjust the share.

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Methods used in this brief

• Experiential Learning