What students learn in AC9M9SP03
This unit helps students build a clear, usable understanding of Design, test and refine algorithms involving a sequence of steps.... The goal is not to memorise one answer pattern. Students should be able to explain the idea, recognise it in a new example and apply it in a short practice or worksheet task.
- Start with the main idea: design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements.
- Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
- creating an algorithm using pseudocode or flow charts to apply the triangle inequality, or an algorithm to generate Pythagorean triples creating and testing algorithms designed to construct or bisect angles, using pseudocode or flow charts
- Finish with mixed questions so students must choose the correct strategy rather than copy the last example.
Curriculum coverage and elaborations
The content description and elaborations below show the curriculum ideas taught in this unit. Items marked as teaching context support lesson planning but may not appear in the initial eight-question activity.
- Content description: design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements
- E1: creating an algorithm using pseudocode or flow charts to apply the triangle inequality, or an algorithm to generate Pythagorean triples
- E2: creating and testing algorithms designed to construct or bisect angles, using pseudocode or flow charts
- E3: developing an algorithm for an animation of a geometric construction, or a visual proof, evaluating the algorithm using test cases
How to use this unit
Read the topic guide, use the teacher slide for instruction, then complete the Worksheet, Practice and Test. These three activities use the same eight-question unit bank.
Teacher resource
AC9M9SP03 teacher slide
Use this one-page PDF to introduce the key idea, vocabulary and teaching sequence before students begin the activities.
Open teacher slide (PDF)Common mistakes to watch for
- Rushing to a rule before checking the concrete model, drawing or number sentence.
- Using the correct answer once but not being able to explain why it works.
- Mixing up similar vocabulary such as more/less, before/after, longer/shorter or equal groups/sharing.
International curriculum mapping
This table gives closest-topic mapping for search and planning. The Australian Curriculum code is exact; overseas entries are broad equivalents because each jurisdiction structures outcomes differently.
| Region | Curriculum | Closest mapping |
|---|---|---|
| Australia | Australian Curriculum v9.0 | AC9M9SP03 — design, test and refine algorithms involving a sequence of steps and decisions based on geometric constructions and theorems; discuss and evaluate refinements |
| Victoria | Victorian Curriculum F-10 | Year 9 Maths: closest match in Space. Use this page as a VIC-aligned practice and worksheet reference. |
| NSW | NSW Curriculum | Stage 5 Maths: closest content focus for Design, test and refine algorithms involving a sequence of steps... and related outcomes. |
| United States | Common Core / NGSS | Grade 9 Common Core Mathematics/ELA closest topic match for Design, test and refine algorithms involving a sequence of steps.... |
| England / UK | National Curriculum | Key Stage 3 / Year 9: closest programme-of-study match for Design, test and refine algorithms involving a sequence of steps.... |
| Canada | Provincial and territory curricula | Grade 9 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference. |
| New Zealand | New Zealand Curriculum | Level 5 Maths: closest achievement-objective topic for Design, test and refine algorithms involving a sequence of steps.... |
| India | NCERT / CBSE | Class 9 closest NCERT/CBSE topic match for Design, test and refine algorithms involving a sequence of steps.... |