Grouping Stories

Overview

Students build on their previous multiplication learning by solving equal-group story problems. They use counters and arrays to represent each situation, record repeated addition and multiplication sentences, and explain how their representation matches the story.

Learning intentions

• WALT represent multiplication stories using equal groups and arrays.
• WALT solve multiplication problems using concrete materials and repeated addition.
• WALT write a number sentence to match a practical situation.
• WALT explain what each number means in the story.

Success criteria

• I can identify the equal groups in a story problem.
• I can make the groups with counters and arrange them as an array.
• I can write repeated addition and multiplication sentences.
• I can explain my answer using the context of the problem.

Curriculum links

• Number — multiplication and division using equal grouping, arrays and repeated addition.
• Number — modelling practical additive and multiplicative situations and communicating solutions.
• Algebra — applying known multiplication facts, particularly facts for twos, using doubling.
• Number — using part-part-whole reasoning to support calculation strategies.

Lesson structure (50 minutes)

1. 0–5 min · Warm-up and connection. Teacher displays a picture of 3 plates with 2 biscuits on each using the opening picture and warm-up slides and asks, “How many biscuits are there altogether? How do you know?” Students turn and talk, then share a drawing, skip count, repeated addition sentence or multiplication sentence from the previous lesson.

2. 5–13 min · Model a story problem. Teacher reads: “There are 4 bags. Each bag has 3 shells. How many shells are there altogether?” Using counters, the teacher makes 4 equal groups of 3, rearranges them into an array, and records 3 + 3 + 3 + 3 = 12 and 4 × 3 = 12 on the teacher modelling slides. Students help identify what 4 and 3 mean, then rehearse the sentence, “There are ___ groups of ___.”

3. 13–18 min · Guided representation. Teacher presents: “There are 5 children. Each child gets 2 pencils.” Students work with a partner and counters to make 5 groups of 2, then arrange the counters as an array. The teacher uses the multiplication array cards for a quick visual comparison and prompts, “How many rows? How many in each row? What is the total?”

4. 18–33 min · Partner problem-solving. Teacher pairs students and distributes the equal-groups story problem worksheet. Students solve four accessible story problems, using counters or connecting cubes before drawing an array and recording repeated addition and multiplication. Partners take turns as Reader/Builder and Recorder/Explainer; the teacher circulates, checking that students make equal groups and interpret the answer in context. Problems use familiar settings and small facts, such as 3 baskets of 4 apples, 2 rows of 5 plants, 4 packs of 2 stickers and 5 teams of 3 children.

5. 33–41 min · Share and compare strategies. Teacher selects two solutions from the worksheet and displays them on the partner-share and discussion slides. Students explain how the concrete model, array and number sentence are connected. Discuss that 4 groups of 3 can be shown as 3 + 3 + 3 + 3 and 4 × 3, while the answer still represents the total number in the story. Address common errors, such as unequal groups or counting groups instead of objects.

6. 41–47 min · Independent application. Teacher gives the class one new problem: “A gardener plants 3 rows of 4 flowers. How many flowers are planted?” Students independently draw or build an array, write a repeated addition sentence and multiplication sentence, and complete the explanation frame: “I know ___ because ___.” Early finishers solve the same total using a different array and describe what changes.

7. 47–50 min · Plenary and exit check. Teacher displays the final prompt on the reflection and exit prompt slide: “There are 4 trays with 2 muffins on each tray. How many muffins?” Students sketch an array or equal groups on the back of the worksheet and write one matching number sentence. Invite two students to explain what each number represents.

Resources

• the complete multiplication story-problem slide deck
• the equal-groups story problem worksheet
• the multiplication array cards
• Counters, connecting cubes or small classroom objects
• Paper plates, hoops or sorting circles for making groups
• Mini-whiteboards and markers
• Pencils and coloured pencils
• Word and sentence supports displayed on the board

Assessment

• Observe whether students identify the number of groups, the number in each group and the total.
• Confer during partner work: ask students to show the story with materials and justify their repeated addition sentence.
• Use the final problem to assess independent representation, calculation and interpretation; collect worksheets for evidence.

Differentiation

• Support EAL learners with picture-supported problems, gestures, real objects and sentence frames: “I made ___ groups of ___”; “There are ___ altogether.” Pair students strategically and read problems aloud.
• Provide counters, sorting circles, partially completed arrays and a reduced number range for students needing additional support. Accept oral explanations or labelled drawings before requiring formal notation.
• Encourage students ready for challenge to solve a problem in two different ways, find a related array with the same total, or write their own multiplication story for a partner.
• Use mixed-ability partnerships with clear roles. Check understanding privately and allow extra processing time, visual instructions and movement between concrete, pictorial and symbolic representations.

Extension

• Students create a classroom-themed story problem, build it with counters, draw the array and swap with a partner to solve.
• Students investigate two different arrays for the same total and explain how the stories would need to change.