Number Challenge Sprint

Overview

Today’s lesson is a game-based maths “tournament” to practise key Year 4/5–level skills (addition, subtraction, multiplication, division, and some fraction/decimal reasoning) using quick rounds, challenges, and team competition. It supports learners to become fluent with mental and written calculation strategies and to check whether answers are sensible.

Learning intentions

• Students will solve addition and subtraction questions using efficient strategies and explain their thinking.
• Students will solve multiplication and division problems, including recognising related facts and using arrays/part-whole reasoning.
• Students will use fraction and decimal knowledge to compare and convert simple values in context.
• Students will estimate to check whether an answer is reasonable.

Success criteria

• I can choose an appropriate method (mental, written, or using known facts) to solve calculation questions accurately.
• I can show working clearly for at least one-step and two-step problems.
• I can estimate before calculating and explain why my answer makes sense.
• I can solve at least one fraction/decimal challenge correctly and justify my choice.

Curriculum links

• Number: addition and subtraction (KS1–KS2 statutory requirements)
• Number: multiplication and division (KS1–KS2 statutory requirements)
• Use estimation to check answers to calculations and determine an appropriate degree of accuracy in context

Lesson structure (60 minutes)

1. 0–5 min · Launch game rules. Teacher displays a simple “tournament score” chart (accuracy + speed + explanation points) and states the day’s rounds: Calculate, Riddle Sprint, Fraction/Decimal Arena, Estimation Check. Students form teams of 4–5 and choose team roles (Reader, Solver, Checker, Explainer).

2. 5–15 min · Warm-up: “Fact Radar”. Teacher reads 10 short prompts (mixed operations: e.g., 300–?; 6×7; 48÷6; 250+175). Students answer on mini-whiteboards, then hold up to show confidence (thumbs). Teacher quickly checks one method per operation type, prompting “How do you know?” for reasoning.

3. 15–30 min · Round 1: Calculate Relay (addition/subtraction + multiplication/division). Each team completes a 4-question relay sheet. Team members must pass the paper after each answer, and the next solver must either show working or write a justification sentence (e.g., “I subtracted because the question asks for fewer”). Teacher circulates for misconceptions (e.g., mixing up add/subtract, or interpreting division as “sharing” vs “grouping”). Scoring: +2 for correct answer, +1 for clear working, +1 for a correct estimation check on at least one question.

4. 30–40 min · Team “Riddle Sprint” (mixed word problems). Teacher reads aloud 6 short riddles; teams choose which operation(s) fit and then compute. Examples:

• “I have 3 bags with 6 marbles each. After I give away 8, how many are left?”
• “My total is 45. I split it into 5 equal parts—how many in each part?” Teams submit operation choice + final answer. Teacher calls two teams to explain their reasoning briefly. Scoring: +2 for correct final answer, +1 for correct operation choice.

5. 40–52 min · Round 2: Fraction/Decimal Arena (Year 4/5 level). Stations with 4 tasks (teams rotate every ~3 minutes). Students complete one task per rotation:

• Station A: Order unit fractions on a number line (e.g., 1/2, 1/4, 3/4).
• Station B: Fractions in context (e.g., “Colour 3/4 of this grid: how many squares?”).
• Station C: Simple decimal equivalence (e.g., match 0.5 to 1/2; 0.25 to 1/4).
• Station D: Add/subtract money-like decimals (one decimal place only), with answers checked against estimation. Teacher prompts key ideas: “equal parts,” “same size,” and “compare by magnitude in context.”

6. 52–58 min · Estimation Check Showdown. Teacher projects 3 calculation statements with an “estimate first” requirement. Example set:

• “398 + 275 (estimate then calculate).”
• “734 − 289 (which estimate is closest?).”
• “6 × 48 (estimate then check).” Teams write the estimate, the exact answer, and a one-sentence check (e.g., “It’s close to 400 + 300, so around 700.”). Teacher selects one correct-and-clear explanation to model.

7. 58–60 min · Exit ticket: One-minute precision. Each student completes 2 questions independently: one mixed calculation (add/subtract or multiply/divide) and one quick fraction/decimal comparison (e.g., “Which is larger: 0.4 or 0.35?” or “Which fraction is greater: 1/3 or 1/2?”). Teacher collects immediately.

Resources

• Team mini-whiteboards and pens
• Tournament score sheets (one per team)
• 4-question Calculate Relay worksheet (mixed operations)
• Riddle Sprint cards or projected prompts
• Fraction/Decimal Arena station cards (grid images/number lines/decimal match)
• Station rotation timer (visible clock)
• Projector or board for Estimation Check examples
• One-minute exit ticket slips
• Answer key for teacher only
• Optional: counters/arrays/grid paper for supporting visual reasoning

Assessment

• Formative during Warm-up: teacher listens for correct operation choice and checks one working method per operation type.
• Formative during Relays and Stations: teacher uses a quick checklist for accuracy, clarity of working, and evidence of estimation checking.
• Exit ticket: records each student’s accuracy on (1) one calculation and (2) one fraction/decimal comparison/conversion.

Differentiation

• Support: provide sentence starters for explanations (“I know because…”, “I estimated…”, “I shared/grouped…”) and include an example method at the top of each worksheet.
• Support: allow use of a partially completed number line/grid at Fraction/Decimal stations; provide a “fact table” prompt sheet (e.g., 2× to 10×).
• Challenge: for one question per round, ask teams to provide two solution methods (e.g., an array/known facts method and a written method) or choose the best estimate from three options and justify why.
• EAL/SEN: reduce reading load by using visuals and teacher read-alouds for riddles; permit oral responses recorded by a partner when appropriate.
• Manage pace: if a team finishes early, they must attempt the “estimation check” version of their last answer rather than moving on immediately.