Count, Group, and Share

Overview

This is lesson 1 of 3 in Patterns, Groups, and Sharing. Students use counters, cubes and Numicon to model equal groups and sharing, then connect their models with repeated addition, multiplication and division number sentences. They explain their thinking using materials, words, numerals and pictures.

Learning intentions

• WALT communicate and explain counting, grouping and equal-sharing strategies.
• WALT represent equal groups using materials, drawings and number sentences.
• WALT connect repeated addition, multiplication and division.
• WALT listen to and build on a partner’s mathematical explanation.

Success criteria

• I can make equal groups or share a collection equally.
• I can record a matching number sentence.
• I can explain my strategy using materials, words, numbers or a drawing.
• I can check that my groups are equal.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that deepen mathematical understanding.
• Mathsteasers / Alignment: challenge tasks are connected to relevant mathematical content.
• Mathsteasers: additional resources for advanced learners, including open-ended problem solving and explanation.

Lesson structure (30 minutes)

1. 0–3 min · Hook and prior knowledge. Teacher displays 12 counters and asks, “How could we share these fairly between three people?” Open with the sharing hook slide and invite students to think silently, then explain an idea to a partner. Students predict how many each person will receive and describe what “fair” means.

2. 3–8 min · Model equal groups. Teacher uses counters to make 3 groups of 4, then records (4 + 4 + 4 = 12), (3 × 4 = 12), and (12 ÷ 3 = 4) on the equal-groups modelling slides. Emphasise that equal groups contain the same number and that the number sentence must match the model. Students build the same example with counters or cubes and rehearse: “Three groups of four make twelve. Twelve shared into three groups gives four in each group.”

3. 8–15 min · Guided build and explain. Teacher gives pairs collections such as 12, 15 or 18 and prompts them to make equal groups, using Numicon or ten-frames where helpful. Return to the guided practice prompts and ask, “How many groups? How many in each group? Which number sentence matches?” Students build, draw and record one grouping and one sharing example, then explain their strategy to a partner. Listen for accurate use of groups, each, altogether, multiply and divide.

4. 15–25 min · Independent follow-up. Distribute the grouping and sharing practice sheet. Teacher models how to complete one example, then supports students to solve the remaining problems independently, checking models before accepting an answer. Students draw equal groups, write matching number sentences and explain one solution in words or with a labelled drawing. Encourage them to use counters, cubes, Numicon or ten-frames as needed.

5. 25–28 min · Share and compare. Teacher selects two different solutions from the worksheet and displays the compare-and-explain slides. Ask, “What is the same? What is different? How do we know both solutions are fair?” Students compare strategies with a partner and share one clear explanation with the group.

6. 28–30 min · Exit check and preview. Teacher poses the final problem on the exit question slide: “Share 16 counters into 4 equal groups. Show it, write a number sentence and explain.” Students complete the response orally or on the back of the worksheet. Briefly preview that the next lesson will look for patterns in groups and sharing.

Resources

• the complete Count, Group, and Share slide deck
• the grouping and sharing practice sheet
• Counters and linking cubes
• Numicon
• Ten-frames
• Small collections of objects labelled 12, 15 and 18
• Pencils and mini-whiteboards
• Board or display screen

Assessment

• During modelling and guided practice, check whether students make equal groups and distinguish the number of groups from the number in each group.
• Listen to partner explanations and check that the materials, drawing and number sentence represent the same situation.
• Use the final 16-counter exit problem to identify who can independently model, record and explain equal sharing.

Differentiation

• For learners working at Level 1, provide pre-counted collections, ten-frames, Numicon, counters and numbers within 20. Work first with 2, 3 or 4 groups and physically share one item at a time.
• Provide guided oral rehearsal and partner modelling before independent work. Use sentence frames such as “I made ___ groups of ,” “ shared into ___ groups is ___,” and “I know they are equal because…”.
• Allow students to explain orally, point to a model, draw or use numerals. Pair students thoughtfully and reduce the writing demand for learners with fine-motor, language or processing needs.
• For advanced learners, ask them to solve a problem with a remainder or find more than one grouping arrangement for the same number, such as 12 as 3 groups of 4 and 4 groups of 3. Require them to explain how the related number sentences connect.