Te reo Māori terms
click each term to open in Te AkaLearning objective overview
Master Teaching Guide coverage for this objective.
Resources
- Formula sheet: Area, Pythagoras and prism-volume formulas used across a sustained project.
- Quantity table: Record each measurement, unit, rate and component cost before combining the quote.
- Calculator: Retain full precision through square roots, percentages and money calculations.
Terminology
- Cross-section
- Compound shape
- Perimeter
- Area
- Volume
- Constant depth
- Unit rate
- Fixed cost
- Assumption
- Limitation
Task goals
- Interpret one labelled compound-shape diagram as the shared model for several connected measurements.
- Decompose the cross-section and calculate component and total areas.
- Calculate boundary lengths, including a missing sloping length using Pythagoras where required.
- Calculate prism volume from cross-sectional area and constant depth.
- Apply unit prices, fixed fees, percentage allowances and whole-unit purchasing rules.
- Combine component costs into a complete project quote.
- Evaluate assumptions and limitations and justify a decision using calculated evidence.
Key skills
- Interpret shared measurement model
- Calculate compound cross section area
- Calculate missing boundary length
- Calculate prism volume from cross section
- Apply unit rates fixed fees and allowances
- Combine component costs
- Evaluate assumptions and limitations
Quick stats
- 9 sustained projects
- 3 difficulty levels
- Answers included
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.