Number Fluency Builders

Overview

In this lesson (Lesson 5 of 10), students use short real-life word problems to decide whether to add or subtract, solve them, and explain their thinking. They build fluency with both operations by practising near-transfer from story context to number sentences.

Learning intentions

• Students will be able to interpret addition and subtraction word problems and choose the correct operation.
• Students will use number facts and strategies to solve problems efficiently.
• Students will represent story problems with an equation (number sentence) and explain their method.
• Students will check reasonableness using estimation or number knowledge.

Success criteria

• I can tell whether a word problem needs addition or subtraction and explain why.
• I can solve the problem using a strategy (counting on, making ten, using known facts).
• I can write a correct number sentence to match the story.
• I can check my answer by using estimation or comparing to what I know.

Curriculum links

• Interpreting and solving simple addition and subtraction problems using reasoning and representations.
• Using efficient mental strategies for basic facts and understanding the relationship between addition and subtraction.
• Communicating mathematical thinking using words, diagrams, and number sentences.

Lesson structure (45 minutes)

1. 3 minutes – Welcome and recall

• Do a quick warm-up: “True or false” with number sentences read aloud (e.g., 7 + 3 = 10). Students show thumbs up/down and justify in a sentence.
• Focus on accuracy and quick recall of basic facts.

2. 7 minutes – Operations in context (teacher model)

• Model two word problems on the board:
• Addition example: “Lia has 6 stickers. She gets 4 more. How many now?”
• Subtraction example: “Mum has 10 apples. She uses 3. How many left?”
• Think aloud: identify what changes and what question is asking; decide the operation; translate to a number sentence; solve.
• End by linking subtraction to “take away”/“how many left” and addition to “more”/“altogether”.

3. 10 minutes – Guided practice: choose the operation

• Students work in pairs with a small set of 8 short story cards (teacher-selected, same number range as previously taught).
• For each card, they do:
• Decide addition or subtraction.
• Write the equation.
• Solve using a mental strategy.
• Teacher circulates, listening for explanations like “It says ‘more’ so I add” or “It says ‘left’ so I subtract”.

4. 12 minutes – Fluency rotation: solve then explain

• Set up three stations (4 minutes each), with clear expectations:
• Station A: Solve word problems (worksheet or mini-cards). Students underline key words.
• Station B: Match the story to the correct number sentence (cards).
• Station C: Explain one problem to an adult/peer using a sentence frame: “I chose ___ because ___. I know ___.”
• Keep the tasks short to maintain fluency practice and confidence.

5. 8 minutes – Whole-class sharing: reasoning and checking

• Select 2–3 student solutions (varied strategies). Ask:
• “What operation did we choose and why?”
• “How did you check your answer?”
• Teach a simple checking routine: compare with a known fact (e.g., if the answer is near 10), or use counting estimate (e.g., “It should be close to 7 because…”).

6. 5 minutes – Exit ticket

• Give one addition and one subtraction word problem with small numbers.
• Students write: operation decision, number sentence, answer, and a brief check (“I know because…”).

Resources

• Story problem cards (addition and subtraction, similar difficulty to prior lessons)
• Matching card set (story ↔ correct number sentence)
• Student mini-whiteboards or scrap paper for quick equations
• Equation strip templates (e.g., □ + □ = □ and □ − □ = □)
• Worksheet for Station A (short problems only)
• Sentence frames for explanations
• Sticky notes or simple “key word” markers (more, altogether, left, used, difference)
• Timer or visual timer for rotations
• Teacher answer guide for common strategies and misconceptions

Assessment

• Formative checks during pair work and station rotation: students correctly choose operation and represent with a number sentence.
• Teacher listening for strategy use (counting on, making ten, known facts) and clear explanations.
• Exit ticket accuracy plus evidence of checking/justification.

Differentiation

• Support:
• Provide a word-problem “decision chart” (more/altogether → add; left/used/take away → subtract).
• Reduce the number range and use more “near-ten” numbers with accessible strategies.
• Offer sentence frames and allow drawing (stick diagrams) before writing the number sentence.
• Extension:
• Include one problem that requires careful reading (e.g., “difference” or a two-step context kept within one operation if appropriate).
• Ask students to solve using a second strategy and compare (e.g., counting on then making ten).
• EAL:
• Pre-teach a small set of context words using student-friendly descriptions (more, left, used) and use visuals on the cards.
• Allow oral responses before written equations; use partner talk time.
• SEN:
• Limit station task length (fewer problems) and keep steps explicit: choose operation → write equation → solve → check.
• Provide worked examples to reference during practice (one addition and one subtraction example displayed).

Extension (optional)

None.