Maths Problem Carousel

Overview

Students review key mathematical ideas through a fast-paced problem-solving carousel covering number, algebra, measurement, geometry and statistics. They choose a strategy, represent their thinking with diagrams or equations, and compare solutions before sharing one effective method.

Learning intentions

• WALT solve unfamiliar word problems using a suitable strategy.
• WALT represent mathematical thinking with diagrams, tables, equations or words.
• WALT explain and compare different solutions.
• WALT check whether an answer is reasonable and clearly communicate our reasoning.

Success criteria

• I can identify the important information and the question in a word problem.
• I can choose and use an effective strategy.
• I can show my thinking with a diagram, table, equation or calculation.
• I can explain why my answer is reasonable and compare it with another method.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that challenge learners and deepen understanding.
• Mathematics and Statistics — Mathsteasers / Alignment: problem-solving tasks connected to familiar mathematical topics.
• Mathematics and Statistics — Mathsteasers / Additional resources for advanced learners: rich tasks that encourage reasoning, flexibility and perseverance.
• Key competencies: thinking; using language, symbols and texts; managing self; relating to others; participating and contributing.

Lesson structure (25 minutes)

1. 0–3 min · Hook and expectations. Teacher displays the carousel overview using the hook and carousel overview slides and poses: “Can two different strategies both be correct?” Students discuss with a partner and review the routine: read, plan, solve, show, explain.

2. 3–5 min · Model a problem-solving routine. Teacher models a short example, such as: “There are 4 boxes with 18 pencils in each. Three pencils are used. How many remain?” Think aloud while underlining useful information, writing an equation and checking the answer. Students identify where the strategy, representation and check appear on the worked-example slide.

3. 5–15 min · Problem-solving carousel. Teacher places students in five groups of six and gives each group one section of the five-station problem-solving carousel. Groups spend two minutes at each station, solving collaboratively and recording a strategy or partial thinking before rotating clockwise on the teacher’s signal. Students select an appropriate method and use diagrams, equations, tables or number lines as needed.

• Number: A school collects 248 cans on Monday and 176 on Tuesday. They pack them equally into 8 cartons. How many cans are in each carton?
• Algebra: A pattern begins 5, 9, 13, 17. Find the next two terms and explain the rule. What would the 10th term be?
• Measurement: A rectangular garden is 8 m long and 5 m wide. Find its perimeter and area. Explain the difference between the two measures.
• Geometry: A shape has four equal sides and four right angles. Name the shape and draw a different shape with the same perimeter as a 6 cm square.
• Statistics: Five students record the number of books they read: 2, 4, 3, 4, 7. Find the mode and mean, then state which measure best describes the typical result and why.

4. 15–19 min · Compare solutions. Teacher selects two contrasting examples from the groups and displays them using the compare-and-discuss slides. Students identify what is similar or different, check calculations, and decide which method is easiest to follow. Prompt: “Could this method work for a different set of numbers?”

5. 19–23 min · Share one effective method. Teacher invites one group from each station to give a concise explanation, using the sentence frame on the sharing prompt slide: “We noticed…, so we…, our representation shows…, and we checked by…”. Students listen for a clear strategy and ask one clarifying question or offer a respectful comparison.

6. 23–25 min · Exit reflection. Teacher displays the exit questions on the plenary slide. Students complete the final box on the five-station problem-solving carousel: “The strategy I used best today was… because…” and “One thing I will try next time is…”. Invite two students to share.

Resources

• the hook, model, carousel instructions, discussion prompts and plenary slides
• the five-station problem-solving carousel
• Five labelled station signs: Number, Algebra, Measurement, Geometry, Statistics
• Pencils, rulers and erasers
• Mini-whiteboards and pens
• Timer or classroom clock
• Coloured highlighters for marking useful information and checking steps

Assessment

• Circulate during the carousel and listen for students identifying the question, selecting a strategy and explaining why it works.
• Check representations and calculations at each station, asking: “How do you know?” and “How could you check?”
• Use the exit reflection to identify students needing support with representation, calculation accuracy or mathematical vocabulary in the next lesson.

Differentiation

• Support learners with a four-step prompt card on the worksheet: What do I know? What do I need to find? What strategy could help? How can I check?
• Encourage students who need structure to begin with a drawing, manipulatives or a partially completed table; read problems aloud and clarify vocabulary without solving the task.
• Provide extension through the worksheet challenge: create a second solution for one station, change one number, and explain how the answer or strategy changes.
• Pair EAL learners with supportive peers and accept labelled diagrams, oral explanations or equations alongside written sentences. Allow extra thinking time and reduce copying by displaying the station problems clearly.