AC9M9ST02 • Year 9 Maths

Analyse how different sampling methods can affect the results of...: Year 9 Maths topic guide

analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view

What students learn in AC9M9ST02

This unit helps students build a clear, usable understanding of Analyse how different sampling methods can affect the results of.... 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: analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view.
  • Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
  • investigating and analysing different visualisations of data such as infographics found in the media and commenting on the strengths, weaknesses and possible biases of particular examples discussing the impact of decreased landline usage or an increased aversion to answering calls from unknown numbers on survey data
  • 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: analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view
  • E1: investigating and analysing different visualisations of data such as infographics found in the media and commenting on the strengths, weaknesses and possible biases of particular examples
  • E2: discussing the impact of decreased landline usage or an increased aversion to answering calls from unknown numbers on survey data
  • E3: exploring potential cultural bias relating to First Nations Australians by critically analysing sampling techniques in statistical reports (teaching context)

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

AC9M9ST02 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.

RegionCurriculumClosest mapping
AustraliaAustralian Curriculum v9.0AC9M9ST02 — analyse how different sampling methods can affect the results of surveys and how choice of representation can be used to support a particular point of view
VictoriaVictorian Curriculum F-10Year 9 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 5 Maths: closest content focus for Analyse how different sampling methods can affect the results of... and related outcomes.
United StatesCommon Core / NGSSGrade 9 Common Core Mathematics/ELA closest topic match for Analyse how different sampling methods can affect the results of....
England / UKNational CurriculumKey Stage 3 / Year 9: closest programme-of-study match for Analyse how different sampling methods can affect the results of....
CanadaProvincial and territory curriculaGrade 9 closest topic match. Canada varies by province, so use this as a broad Ontario/BC-style learning outcome reference.
New ZealandNew Zealand CurriculumLevel 5 Maths: closest achievement-objective topic for Analyse how different sampling methods can affect the results of....
IndiaNCERT / CBSEClass 9 closest NCERT/CBSE topic match for Analyse how different sampling methods can affect the results of....

Related Year 9 Maths topics

Official curriculum references