Integrated Problem Solving: End-of-Year Review

Active learning works well for this end-of-year review because primary students need to connect abstract concepts to tangible tasks. Hands-on stations, quick relays, and peer discussions let them practice applying skills they’ve learned across strands in a low-pressure way. This builds fluency and confidence before moving on to more complex problems.

• Primary 2
• Mathematics
• 4 activities
• 30 min–45 min

Learning Objectives

1. Synthesize concepts from numbers, measurement, geometry, and data to construct solutions for multi-step problems.
2. Analyze given problems to identify the most appropriate mathematical strategy, such as using a bar model or systematic listing.
3. Evaluate the reasonableness of solutions by checking calculations and relating them back to the problem context.
4. Create clear and concise explanations of problem-solving processes using diagrams, tables, and written sentences.

Stations Rotation

⏱ 45 min·Small Groups

Stations Rotation: Strand Review Stations

Prepare four stations, one each for numbers, measurement, geometry, and data problems. Groups rotate every 10 minutes, solving two multi-step problems per station and noting strategies used. End with a whole-class share-out of one key insight per group.

Prepare & details

Which mathematical skills and strategies have we learned this year, and when is each most useful?

Facilitation Tip: During Strand Review Stations, circulate and ask guiding questions like, 'Which skill from last term does this problem remind you of?' to help students make connections.

Setup: Tables/desks arranged in 4-6 distinct stations around room

Materials: Station instruction cards, Different materials per station, Rotation timer

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

Project-Based Learning

⏱ 30 min·Small Groups

Problem-Solving Relay: Multi-Step Chain

Divide class into teams. Each student solves one step of a chained problem (e.g., measure, add, graph), passes paper to next teammate. Teams check and justify full solutions together. Repeat with varied problems.

Prepare & details

How can we combine concepts from numbers, measurement, geometry, and data to solve a single problem?

Facilitation Tip: In the Multi-Step Chain Relay, demonstrate how to pass ideas forward by modeling clear step-by-step explanations at each station.

Setup: Flexible workspace with access to materials and technology

Materials: Project brief with driving question, Planning template and timeline, Rubric with milestones, Presentation materials

• Apply
• Analyze
• Evaluate
• Create
• Self-Management
• Relationship Skills
• Decision-Making

Gallery Walk

⏱ 35 min·Pairs

Gallery Walk: Strategy Share

Students solve individual problems, then post solutions with strategy explanations on walls. Peers gallery walk, add sticky notes with questions or agreements. Discuss in pairs to refine thinking.

Prepare & details

How do we communicate our problem-solving process clearly and justify our solutions?

Facilitation Tip: For the Reflection Gallery Walk, provide sentence stems on sticky notes to scaffold peer feedback, such as, 'I noticed your group used...'.

Setup: Wall space or tables arranged around room perimeter

Materials: Large paper/poster boards, Markers, Sticky notes for feedback

• Understand
• Apply
• Analyze
• Create
• Relationship Skills
• Social Awareness

Project-Based Learning

⏱ 40 min·Small Groups

Math Growth Timeline: Personal Review

Students create timelines of year-long skills with examples and self-assessments. Share in small groups, peer-teaching one strategy. Teacher circulates to prompt reflections.

Prepare & details

Which mathematical skills and strategies have we learned this year, and when is each most useful?

Setup: Flexible workspace with access to materials and technology

Materials: Project brief with driving question, Planning template and timeline, Rubric with milestones, Presentation materials

• Apply
• Analyze
• Evaluate
• Create
• Self-Management
• Relationship Skills
• Decision-Making

Teaching This Topic

Experienced teachers approach this topic by balancing individual accountability with collaborative problem solving. Avoid rushing through stations; allow time for students to reflect on their process. Research shows that primary students benefit from visual organizers like bar models to represent problems before calculating. Model your own thinking aloud when solving problems to normalize the process of making mistakes and revising strategies.

What to Expect

Successful learning looks like students selecting and explaining strategies clearly, working collaboratively to solve multi-step problems, and justifying their reasoning in group discussions. They should show flexibility by trying different approaches and recognizing connections between strands like measurement and data. Struggling students will receive targeted support while advanced students deepen their understanding through challenge tasks.

Watch Out for These Misconceptions

Common Misconception

During Station Rotation: Strand Review Stations, watch for students who insist their strategy is the only correct one.

What to Teach Instead

Prompt them to compare their method with a peer’s at the same station. Ask, 'What do you notice about how your approach and your friend’s approach are similar or different?' Use the station’s answer key to validate multiple correct paths.

Common Misconception

During Reflection Gallery Walk: Strategy Share, watch for students who describe only the answer, not the process.

What to Teach Instead

Provide feedback cards with prompts like, 'Explain why you chose this strategy' or 'What was tricky about this problem?' Rotate the cards so students respond to specific questions about their work.

Common Misconception

During Problem-Solving Relay: Multi-Step Chain, watch for teams that solve each step in isolation without linking to the next problem.

What to Teach Instead

At each station, require students to write a one-sentence summary of their solution and how it connects to the next problem. Model this by solving the first step aloud and stating, 'This answer will help us with the next part because...'

Assessment Ideas

Exit Ticket

After Station Rotation: Strand Review Stations, collect students’ written solutions and their notes on which skills they used. Look for evidence of connecting strands, such as a student who uses addition facts to interpret a pictogram.

Quick Check

During Problem-Solving Relay: Multi-Step Chain, listen for clear explanations as teams explain their steps to you at each station. Check if they correctly link one step to the next by asking, 'How does your first answer help you with the second problem?'

Discussion Prompt

After Reflection Gallery Walk: Strategy Share, use the students’ gallery notes to facilitate a whole-class discussion. Ask, 'Which strategy did you see today that you hadn’t tried before? What made it useful?'

Extensions & Scaffolding

• Challenge: After the Math Growth Timeline activity, ask students to create an additional 'mystery problem' that combines at least two strands, then trade with a peer to solve.
• Scaffolding: During the Multi-Step Chain Relay, provide a checklist with key questions for each step, such as, 'What do I know?' and 'What do I need to find?'
• Deeper exploration: After the Reflection Gallery Walk, have students write a short paragraph comparing the strategies they saw in the gallery to the ones they used in their own work.

Key Vocabulary

Bar Model	A visual representation used to solve word problems, showing relationships between quantities through rectangular bars.
Systematic Listing	An organized method of recording all possible outcomes or combinations to solve a problem, ensuring none are missed.
Guess and Check	A problem-solving strategy where students make an initial guess, check its accuracy, and adjust subsequent guesses based on the results.
Multi-step Problem	A word problem that requires more than one mathematical operation or strategy to find the final answer.