Learning intention and success evidence
We are learning to synthesise mathematical representations into an auditable recommendation.
- I select relevant evidence instead of including every calculation.
- I keep a calculation trail another person can reproduce.
- I separate conclusion, assumption and limitation.
Curriculum synthesis
This capstone integrates the exact Phase 4 anchors taught in Lessons 2–5: coordinate-plane distance (47313), transformations (18236), linear equations and gradient (47493), and perimeter/area (47304). No new curriculum alignment is inferred from the act of presenting.
Preparation
Print: learner pack page L6 or provide one A3 sheet. Return each learner's checked work from Lessons 1–5. Choose whether the final explanation will be written, diagram-led, recorded or a teacher conference; all modes use the same evidence criteria.
60-minute runsheet
- Whakaoho — evidence triage (5 min): classify sample statements as calculation, interpretation, assumption or limitation.
- Exemplar deconstruction (10 min): model a small claim-evidence-reasoning paragraph: “Choose Option A” → 1,200 m², 140 m perimeter, $84,000 cost in the fictional scenario → all constraints pass and it has the lowest cost among the feasible options.
- Proposal build (25 min): learners assemble the required coordinate model, two distances, one checked transformation, one interpreted linear model and the constraint decision.
- Audit exchange (12 min): a partner chooses one calculation and reproduces it without help. The author repairs any missing values, units or assumptions.
- Limitation and revision (5 min): learners add one honest boundary: the synthetic mathematics does not determine animal welfare, engineering feasibility, actual visitor behaviour or Hamilton Zoo decisions.
- Submit (3 min): highlight the recommendation, box the strongest calculation and underline the limitation.
Assessment guide
| Evidence | Secure | Needs repair |
|---|---|---|
| Coordinate model | Origin, scale, units and positions are recoverable. | Axes or scale are ambiguous. |
| Calculations | Methods, substitutions, results and units can be checked. | Answers appear without an audit trail. |
| Interpretation | Gradient, distance or transformation is explained in context. | Symbols are named but not interpreted. |
| Decision | Feasibility is separated from preference. | “Best” is asserted without constraints. |
| Honesty | At least one assumption and limitation are explicit. | Synthetic data is presented as real zoo evidence. |
Next pathway
Learners who meet the secure evidence contract can continue to the advanced interactive investigation. It is an optional capstone, not a replacement for this six-lesson teaching sequence.