Mathematics · Year 1

Active learning ideas

Halving Even Numbers to 10

Active learning works for halving because young learners need to physically manipulate objects to internalize the concept of equal sharing. Concrete materials bridge the gap between abstract numbers and real-world meaning, making division tangible for Year 1 students.

• National Curriculum Attainment Targets
• KS1: Mathematics - Multiplication and Division
• KS1: Mathematics - Fractions

• 15–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Stations Rotation
• 25 min · Pairs

Pair Share: Sweets Halving

Give each pair an even number of sweets from 2 to 10. Instruct them to share equally between two people, first physically dividing then counting each share. Pairs record the original number and halves on mini-whiteboards, then share one method with the class.

Explain how to share 8 sweets equally between two friends.

Facilitation Tip

During Pair Share: Sweets Halving, circulate to ensure students are physically splitting items rather than just counting them.

What to look for

Give each student 8 counters. Ask them to draw a picture showing how they would share these counters equally between two teddy bears. Collect drawings to check for equal partitioning.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 02

• Stations Rotation
• 35 min · Small Groups

Concrete Stations: Cube Halving

Set up stations with linking cubes in even piles up to 10. Students halve at each station using two bowls for equal groups, noting if successful. Rotate groups every 5 minutes and discuss predictions for odd piles at the end.

Predict what happens if you try to halve an odd number.

Facilitation Tip

In Concrete Stations: Cube Halving, model how to record halving with simple drawings or symbols before students work independently.

What to look for

Present students with a set of 10 cubes. Ask: 'How many cubes would each person get if you shared these equally between two people?' Observe students as they use their fingers or manipulatives to find the answer.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 03

• Stations Rotation
• 20 min · Whole Class

Whole Class Prediction Chain

Display an even number on the board. Class predicts halves verbally, then teacher models with counters. Students copy in notebooks and test one odd number prediction. Chain continues with student-led examples.

Construct a visual representation of halving a number.

Facilitation Tip

For Whole Class Prediction Chain, pause after each prediction to ask students to justify their thinking using the previous group’s results.

What to look for

Pose the question: 'If you have 4 apples and want to share them equally with one friend, how many apples does each person get? How do you know?' Listen for explanations that involve counting out or pairing items.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

Activity 04

• Stations Rotation
• 15 min · Individual

Individual Draw and Halve

Provide printed ten-frames with even dots. Students draw lines to halve, label shares, and colour halves. Collect for plenary sharing of visual strategies.

Explain how to share 8 sweets equally between two friends.

Facilitation Tip

During Individual Draw and Halve, provide halving templates with two clear sections to support spatial organization.

What to look for

Give each student 8 counters. Ask them to draw a picture showing how they would share these counters equally between two teddy bears. Collect drawings to check for equal partitioning.

• Remember
• Understand
• Apply
• Analyze
• Self-Management
• Relationship Skills

A few notes on teaching this unit

Teach halving by starting with even numbers only, using consistent language like ‘share between two’ to reinforce the idea of equal groups. Avoid introducing symbols too early; focus on verbal explanations and visual models first. Research shows that young children grasp division best when it connects to real-life sharing scenarios they can act out with materials.

By the end of these activities, students will confidently partition even numbers up to 10 into two equal groups using objects, drawings, or verbal explanations. They will also recognize that odd numbers cannot be halved equally without a remainder, building foundational reasoning skills.

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Watch Out for These Misconceptions

• During Pair Share: Sweets Halving, watch for students who split items unevenly or count without pairing.

  Prompt students to place items one by one into two equal piles, then ask, ‘Do both piles have the same number? How do you know?’ Use this to model the concept of equal sharing.

• During Concrete Stations: Cube Halving, watch for students who confuse halving with subtracting half the number.

  Have students physically line up cubes in two rows before splitting them, demonstrating that halving is about equal groups, not taking away.

• During Individual Draw and Halve, watch for students who draw halves as two separate shapes rather than partitioning one shape.

  Provide bar model templates and ask students to divide each section equally, reinforcing that halves come from one whole.

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Methods used in this brief

• Stations Rotation