Present, Defend and Reflect

Overview

In this final lesson of Design a Sustainable Community, teams present their sustainable community space and defend the mathematical decisions behind their design. Students submit a concise proposal containing plans, calculations, data displays and evaluation, then reflect on how evidence shaped their final model.

Learning intentions

• WALT communicate mathematical reasoning clearly using accurate language and representations.
• WALT explain how ratios, rates, percentages, algebra and measurement informed our design.
• WALT respond to questions by referring to calculations, data and assumptions.
• WALT evaluate the appropriateness of our model and identify next steps.

Success criteria

• I can explain my team’s reasoning and use mathematical vocabulary accurately.
• I can interpret plans, calculations and data displays in the context of our community.
• I can respond respectfully to questions using evidence.
• I can identify a limitation, improvement or next step for our design.

Curriculum links

• Measurement — mathematical modelling with ratios and rates in practical and financial contexts.
• Number — modelling practical problems involving rational numbers and percentages, including financial contexts.
• Algebra — creating, simplifying and rearranging linear expressions, and representing linear relationships.
• Measurement — solving problems involving the area and perimeter of irregular and composite shapes.

Lesson structure (90 minutes)

1. 0–8 min · Reconnect and prepare. Teacher opens the hook and presentation overview slides with the question, “Would this community still work if one important assumption changed?” and reviews the presentation order, audience roles and success criteria. Students collect their team proposal, check that each member has a speaking role and identify one calculation or representation they will explain.

2. 8–20 min · Final proposal check. Teacher distributes the proposal and reflection worksheet and conferences briefly with each of the three teams, checking that plans are labelled, units are included, calculations are visible, data displays have titles and conclusions relate to the design. Students complete or correct their concise proposal, including assumptions such as scale, costs, area, water use, energy use or expected participation.

3. 20–32 min · Rehearse and question-proof. Teacher uses the rehearsal prompts and question stems to model a clear explanation: claim, mathematical evidence, interpretation and limitation. Students rehearse a 4–5 minute presentation, practise answering questions such as “Why is this model reasonable?”, “What does this percentage show?” and “How would the result change if the area or cost changed?” A partner team gives one warm and one useful feedback point.

4. 32–60 min · Stakeholder presentations. Teacher introduces the stakeholder presentation panel and records key evidence, questions and feedback on the board. Each team presents for up to 5 minutes, followed by 3 minutes of panel questions; students use their plan, calculations and data displays rather than reading every word from notes.

5. 60–70 min · Peer and self-assessment. Teacher displays the assessment rubric and feedback prompts and allocates quiet assessment time. Students complete the relevant sections of the proposal and reflection worksheet, rating clarity of reasoning, mathematical accuracy, use of representations, response to questions and evaluation; each student writes one specific strength for another team and one improvement question.

6. 70–83 min · Respond, revise and reflect. Teacher selects one stakeholder challenge, such as a reduced budget, smaller available area or increased water restrictions, and guides teams to discuss whether their model needs revision. Students explain which part of the design would change, use estimation or calculation to quantify the impact where possible, and complete the reflection prompts: “Evidence changed our design when…”, “Our model is appropriate because…”, and “A limitation or next step is…”.

7. 83–90 min · Submit and close. Teacher uses the plenary and submission checklist to revisit the WALT and collect each team’s proposal and individual reflection. Students submit their work, share one mathematical idea they can now explain more confidently, and identify one improvement they would make with additional time or data.

Resources

• the complete presentation, rehearsal, rubric and plenary slide deck
• the proposal and reflection worksheet
• Team design plans, models and calculations from previous lessons
• Data displays and presentation notes
• Board or display screen
• Calculators and rulers
• Coloured pens or highlighters
• Stakeholder question cards or prepared challenge prompts
• Peer/self-assessment rubric

Assessment

• During proposal checks and rehearsals, listen for accurate units, mathematical vocabulary, justified assumptions and interpretations connected to the community context.
• Use presentation questioning to assess whether students can explain calculations, interpret representations and evaluate the appropriateness of their model.
• Collect the proposal, peer/self-assessment and individual reflection. Check that students identify evidence, a limitation and a realistic next step.

Differentiation

• Provide the presentation structure: context and need, design decisions, mathematical evidence, sustainability benefits, limitations and conclusion. Offer speaking notes, sentence starters and a visual checklist.
• Support diverse learners with pre-highlighted calculations, labelled diagrams, vocabulary prompts, rehearsal with the teacher and options to share speaking roles or submit a recorded explanation.
• For EAL learners, allow additional planning time, visual explanations, partner rehearsal and sentence frames such as “Our calculation shows…”, “This is reasonable because…” and “If ___ changed, ___ would…”.
• Encourage students requiring adjustments to present from a seated position, use cue cards or contribute through a prepared question-and-answer role.

Extension

• Respond to a stakeholder challenge by revising the model live and calculating the impact of the change on cost, area, capacity, resource use or sustainability.
• Compare two possible revisions and justify which provides the best balance of mathematical feasibility, environmental benefit and community needs.