Mathematics · Primary 3

Active learning ideas

Solving Word Problems (Multiplication and Division)

Active learning helps students connect abstract operations to real contexts, which is essential for solving word problems. By manipulating objects, drawing models, and discussing strategies, students move beyond memorizing rules to understanding relationships between multiplication and division. This hands-on approach builds confidence and reduces anxiety about word problems.

• MOE Syllabus Outcomes
• MOE: Numbers and Algebra - P3
• MOE: Multiplication and Division - P3

• 20–40 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Think-Pair-Share
• 20 min · Pairs

Think-Pair-Share: Operation Clues

Display a word problem. Students underline clues individually for 2 minutes, note the operation. In pairs, they explain choices and model with drawings. Share one pair's idea with the class.

What clues in a problem tell you that multiplication or division is needed?

Facilitation Tip

During Think-Pair-Share: Operation Clues, circulate and listen for students to verbalize how they identified the operation, not just the answer.

What to look for

Provide students with a word problem, such as: 'A farmer has 4 pens, and each pen has 7 sheep. How many sheep does the farmer have in total?' Ask students to write the number sentence used to solve it and draw a bar model to represent the problem.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 02

• Mystery Object
• 40 min · Small Groups

Manipulatives Station: Array Builder

Set stations with counters and grids. Groups build arrays for multiplication problems, then divide by grouping equally. Record number sentences and check with peers. Rotate every 10 minutes.

How do equal groups or arrays help you model a multiplication problem?

Facilitation Tip

In the Manipulatives Station: Array Builder, remind students to label their arrays with both the multiplication and division facts they represent.

What to look for

Present a two-step problem: 'Sarah bought 3 packs of pencils with 8 pencils in each pack. She gave 5 pencils to her friend. How many pencils does Sarah have left?' Ask students to show their work using either number sentences or drawings and to circle their final answer.

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

Activity 03

• Mystery Object
• 30 min · Small Groups

Relay Solve: Two-Step Challenges

Divide class into teams. First student solves step one of a problem on a chart, tags next for step two. Team verifies reasonableness. Fastest accurate team wins.

How can you check that your answer is reasonable?

Facilitation Tip

For Relay Solve: Two-Step Challenges, set a timer for each station so groups must move efficiently while ensuring everyone contributes.

What to look for

Pose the question: 'When solving a word problem, how do you decide whether to multiply or divide?' Ask students to share specific keywords or phrases they look for and to give an example for each operation.

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

Activity 04

• Mystery Object
• 25 min · Pairs

Bar Model Pairs: Real-Life Packs

Pairs draw bar models for packing or sharing problems. One draws, partner writes equation and solves. Switch roles, then compare answers.

What clues in a problem tell you that multiplication or division is needed?

Facilitation Tip

During Bar Model Pairs: Real-Life Packs, ask guiding questions like, 'Which part of the model shows the total?' to keep students focused on the whole problem.

What to look for

Provide students with a word problem, such as: 'A farmer has 4 pens, and each pen has 7 sheep. How many sheep does the farmer have in total?' Ask students to write the number sentence used to solve it and draw a bar model to represent the problem.

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

A few notes on teaching this unit

Focus first on building meaning through concrete materials before transitioning to abstract representations. Avoid rushing to algorithmic procedures; instead, prioritize students explaining their models and number sentences. Research shows that students who use multiple representations—drawings, objects, symbols—develop deeper understanding and transfer skills to new contexts.

Students should confidently identify operation clues, represent problems with models or number sentences, and solve them accurately. They should explain their reasoning using keywords and check answers through estimation or inverse operations. Collaboration during activities reinforces both accuracy and communication skills.

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Watch Out for These Misconceptions

• During Bar Model Pairs: Real-Life Packs, watch for students who ignore remainders or set them aside as unimportant.

  Ask them to physically separate the remaining counters into a 'leftovers' pile and write a sentence explaining what the leftovers represent in the context of the problem. Discuss whether this makes sense in real life (e.g., sharing candies, packing boxes).

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Methods used in this brief

• Think-Pair-Share
• Mystery Object