Solve and Share Stories

Overview

In this final lesson of Tatau, Tāpiri, Tango, ākonga solve addition and subtraction story problems and explain how they know their answers make sense. They move between acting, materials, drawings and equations, building confidence with mathematical thinking, communication and reasoning.

Learning intentions

• WALT solve and explain addition and subtraction stories.
• WALT identify whether a story is joining, separating or finding a missing part.
• WALT represent a story with materials, a drawing and an equation.
• WALT explain why an answer makes sense.

Success criteria

• I can identify what is happening in the story.
• I can choose addition or subtraction.
• I can show my thinking with materials, a drawing or an equation.
• I can explain whether my answer makes sense.

Curriculum links

• Mathematics and Statistics — Mathsteasers: higher-order thinking questions that deepen mathematical understanding.
• Mathsteasers / Alignment: challenge connected to familiar mathematical learning and classroom content.
• Mathematical thinking, communication, reasoning and confidence through concrete, visual, oral and symbolic representations.
• Culturally responsive participation through meaningful stories about sharing, caring for resources and working together.

Lesson structure (30 minutes)

1. 0–5 min · Warm-up: act out a story. Open with the story and warm-up prompts and tell a familiar, locally appropriate classroom story, such as sharing kai or organising classroom resources; use local guidance before referring to harakeke, and avoid suggesting that tamariki collect it. Students act out the story with counters or classroom objects, then turn and talk: “What changed?” Use bilingual vocabulary cards or the board to introduce/revisit tāpiri (add/join), tango (take away/separate), huihui (put together) and e hia? (how many?).

2. 5–12 min · Model the thinking. Show one story on the model story sequence. Think aloud: “Are things joining, separating, or is a part missing?” Represent it first with counters, then a quick drawing and finally an equation, for example, 6 + 3 = 9. Ask, “How can we check that 9 makes sense?” Students help identify the action, choose the operation and suggest a representation. Briefly model a subtraction example, such as 9 − 3 = 6, including the matching story.

3. 12–15 min · Explain group tasks. Display the three group instructions and success criteria and place students in three flexible groups, with approximately 6–7 tamariki in each. Explain that everyone must show and explain their thinking; students may speak, point, draw, use materials or record an equation. Distribute the picture-supported story problem sheet to students who need a recording scaffold; others may record on mini-whiteboards or paper.

4. 15–27 min · Differentiated problem-solving groups. Emerging: Students act out and solve joining or separating stories within 10 using counters, ten-frames and picture prompts. The teacher reads each problem aloud, highlights quantities and supports the sentence frame, “___ joined/separated, so I used ___.” Developing: Students solve mixed addition and subtraction stories within 20. They choose counters, a drawing or an equation, then explain their strategy to a partner using, “I knew it was addition/subtraction because ___.” Consolidating: Students create and solve a two-step or missing-number problem. They identify the unknown start, change or result, record an equation and explain their strategy, for example, “I started with ___ because ___.” Circulate and ask: “What is happening?” “What does this number represent?” “How could you check?” Take quick notes on operation choice, representation and explanation.

5. 27–30 min · Share and celebrate methods. Bring the class together using the sharing and reflection prompts. Invite two or three students to share different methods, ensuring drawings, materials, oral explanations and equations are all valued. Finish with a choral reflection: “My answer makes sense because ___.” Celebrate perseverance, careful listening and manaakitanga when learning together.

Resources

• the complete story-solving slide deck
• the picture-supported story problem sheet
• Counters, linking cubes or classroom objects
• Ten-frames and mini-whiteboards
• Pencils, paper and marker pens
• Picture prompts and quantity cards
• Bilingual vocabulary cards: tāpiri, tango, huihui, e hia?
• Local cultural guidance for any story involving natural materials

Assessment

• During modelling, check whether students can identify joining, separating or a missing part and select a sensible operation.
• During group work, observe whether students represent the problem accurately and explain what each number means.
• Exit check: each student solves one short story orally, with materials, by drawing or with an equation, then completes or says, “My answer makes sense because ___.”

Differentiation

• Support: Read all problems aloud, use picture-supported contexts, highlight key quantities, reduce numbers to within 10 and provide counters, ten-frames and sentence frames.
• Dyslexia-friendly options: Use a clear sans-serif font, generous spacing, minimal text, strong visual contrast and one problem at a time. Accept oral responses, drawings, manipulatives or recorded audio instead of extensive writing.
• Bilingual learners: Pre-teach vocabulary with accessible English–te reo Māori cards, gestures and visuals. Invite students to explain in either language, then share key mathematical words together.
• SEN and diverse learners: Pair students thoughtfully, give extra processing time, repeat or rephrase stories and allow a peer or adult to scribe. Use familiar, respectful contexts and check that all students can participate safely.

Extension

• Design a class story problem with an unknown start, change or result.
• Create two different equations or representations for the same story and explain how they are connected.
• Challenge a partner to solve the problem without being told whether to add or subtract.