Equal Groups Adventure

Overview

Students explore multiplication as combining equal groups using Numicon shapes, counters and playdough. They build, count and explain equal groups, connecting concrete models to repeated addition and simple multiplication language.

Learning intentions

• WALT combine equal groups to find how many altogether.
• WALT use Numicon and objects to represent equal groups.
• WALT explain that counting equal groups can be used to multiply.
• WALT work independently and with others to show our mathematical thinking.

Success criteria

• I can make two or more groups with the same number in each group.
• I can count all the objects in my equal groups.
• I can use Numicon, drawings or words to show my thinking.
• I can explain that equal groups can be combined to find a total.

Curriculum links

• Number: explore multiplication through combining equal groups and counting collections.
• Number: use materials, images and mathematical language to represent quantities.
• Mathematics and Statistics — Mathsteasers: develop reasoning, explaining and higher-order thinking through a purposeful mathematical challenge.
• Te Mātaiaho learning approach: use concrete materials, talk, collaboration and multiple representations to build understanding.

Lesson structure (45 minutes)

1. 0–5 min · Welcome and hook. Teacher displays the opening equal-groups picture showing three plates with two apples on each and asks, “How could we find out how many apples there are without counting every apple one at a time?” Students notice, make predictions and share strategies with a partner.

2. 5–12 min · Model the idea. Teacher uses Numicon shapes and counters to make three equal groups of two, saying, “Multiplication involves combining equal groups.” Record 2 + 2 + 2 = 6 and, if appropriate, introduce 3 groups of 2 as “three twos”. Revisit the teacher modelling slides and deliberately show an unequal example for students to reject. Students identify whether groups are equal and explain how they know.

3. 12–20 min · Guided building. Teacher gives each pair a small collection of Numicon shapes and counters. Call out manageable challenges such as “Make two equal groups of three” or “Make three equal groups of two”, supporting children to check each group carefully. Students build, touch-count and say the total, then show it with a drawing or repeated addition. Partners take turns as builder and checker.

4. 20–33 min · Playdough agency challenge. Teacher organises children into five groups of four and provides playdough, counters and Numicon. Display the playdough challenge instructions: “Create a food stall with equal groups. Choose how many groups and how many items go in each group.” Students decide their own context, mould playdough items or plates, arrange equal groups, place Numicon alongside them and record or tell a teacher their number sentence. Encourage questions such as, “How many groups did you make?” and “How many are in each group?”

5. 33–39 min · Share and compare. Teacher invites two or three groups to present different models, such as two groups of four and four groups of two. Use the discussion slides to compare the models without requiring formal multiplication notation. Students explain what is the same, what is different and how they counted the total.

6. 39–45 min · Reflect and assess. Teacher distributes the equal-groups drawing and counting sheet and reads each prompt aloud. Students draw or complete two equal groups, count the total and finish the sentence, “I combined ___ equal groups of ___ to make ___.” Finish with a brief partner explanation and collect the sheets.

Resources

• Numicon shapes or Numicon-like visual number pieces
• Counters or small classroom objects
• Playdough and reusable mats or paper plates
• the equal-groups mathematics deck
• the equal-groups drawing and counting sheet
• Pencils, crayons and clipboards
• Large paper or whiteboard for modelling
• Picture cards showing plates, baskets or boxes

Assessment

• Observe whether students make groups with the same number and use one-to-one counting accurately.
• Listen for understanding of the knowledge statement: “Multiplication involves combining equal groups.” Note whether students can describe groups and total quantities using objects, drawings or words.
• Use the worksheet and final explanation to identify students who can represent equal groups independently and those needing further concrete modelling.

Differentiation

• Support learners with a limited choice: make two groups of two or two groups of three. Use a group-making mat with clear spaces, larger counters and verbal prompts: “How many groups?” and “How many in each group?”
• Provide sentence frames: “I made ___ groups. There are ___ in each group. Altogether there are ___.” Accept pointing, drawing, oral explanation or home-language discussion before recording.
• Offer dyslexia-friendly access through short instructions, large clear print, uncluttered worksheet design, strong colour contrast and teacher read-aloud. Avoid asking children to copy lengthy number sentences.
• Extend advanced learners by asking them to make two different equal-group models with the same total, compare “two groups of four” and “four groups of two”, or create a model that totals 10 or 12 and explain how they know.