Year 7 Mathematics · 4 weeks · 16 lessons

Is our sports carnival fair?

A KSHS WSIM learning sequence using one rich decision problem to connect calculation, fractions-decimals-percentages, ratios, statistics, probability and mathematical modelling.

12 core lessons4 numeracy lessons1 written recommendation
Sports Carnival House Points Problem
Unit pathway

One question, four deliberate stages

Week 1

Launch and calculate

How can the same results produce different winners?

Accurate totals, first fairness claim and a shared meaning of evidence.

Week 2

Participation and proportional fairness

How can house size and participation be compared fairly?

FDP, equivalent ratios and a defensible participation component.

Week 3

Weighting, chance and evidence

What happens when team events or random bonuses carry more weight?

Weighted calculations, probability simulation and summary statistics.

Week 4

Design, test and justify

Can our system survive difficult test cases?

A written, evidence-based recommendation for a fair points system.

Assessment

Sports Carnival Review Team written recommendation

Developed across Lessons 13-15; submitted in Lesson 15

  • A complete and reproducible points system
  • Accurate calculations for the opening dataset
  • A percentage or equivalent-ratio comparison
  • At least three stress tests, including one house-size or boundary case
  • A written claim, reasoning and acknowledged limitation

Evidence teachers can collect

1Mathematical accuracy
2Appropriate representations and Year 7 content
3Quality of modelling, assumptions and constraints
4Use of evidence to justify fairness
5Clear written mathematical communication

Planning notes

The unit uses the revised SCSA Western Australian Curriculum: Mathematics for implementation in 2026. The current curriculum is mapped by strand, sub-strand and content description rather than legacy ACMNA/ACMSP codes.

Ready, Set, OLNA © Mathematical Association of Western Australia 2025. The four interleaved sets use new sports-carnival contexts and values, informed by the named support-lesson structures in the supplied resource.