AC9M10ST04 • Year 10 Maths

Construct two-way tables and discuss possible relationship between categorical variables: Year 10 Maths topic guide

construct two-way tables and discuss possible relationship between categorical variables

What students learn in AC9M10ST04

This unit helps students build a clear, usable understanding of Construct two-way tables and discuss possible relationship between categorical variables. 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: construct two-way tables and discuss possible relationship between categorical variables.
  • Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
  • using two-way tables to investigate and comparing the survey responses to questions involving five-point Likert scale against 2 different categories of respondents; for example, junior compared to senior students’ responses to a survey question recording data in two-way tables and using percentages and proportions to identify patterns and associations in the 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: construct two-way tables and discuss possible relationship between categorical variables
  • E1: using two-way tables to investigate and comparing the survey responses to questions involving five-point Likert scale against 2 different categories of respondents; for example, junior compared to senior students’ responses to a survey question
  • E2: recording data in two-way tables and using percentages and proportions to identify patterns and associations in the data
  • E3: conducting a litter survey around the school, considering the relationship between different categorical variables such as the day of the week as canteen specials might lead to different types of litter or the weather due to hot days leading to more ice blocks and cold drinks being sold

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

AC9M10ST04 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 v9.0AC9M10ST04 — construct two-way tables and discuss possible relationship between categorical variables
VictoriaVictorian Curriculum F-10Year 10 Maths: closest match in Statistics. Use this page as a VIC-aligned practice and worksheet reference.
NSWNSW CurriculumStage 5 Maths: closest content focus for Construct two-way tables and discuss possible relationship between categorical variables and related outcomes.
United StatesCommon Core / NGSSGrade 10 Common Core Mathematics/ELA closest topic match for Construct two-way tables and discuss possible relationship between categorical variables.
England / UKNational CurriculumKey Stage 4 / Year 10: closest programme-of-study match for Construct two-way tables and discuss possible relationship between categorical variables.
CanadaProvincial and territory curriculaGrade 10 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 Construct two-way tables and discuss possible relationship between categorical variables.
IndiaNCERT / CBSEClass 10 closest NCERT/CBSE topic match for Construct two-way tables and discuss possible relationship between categorical variables.

Related Year 10 Maths topics

Official curriculum references