Year 1 Mathematics · AC9M1ST01

Collecting Categorical Data

Categorical data sorts answers into named groups. Data can be recorded with objects, drawings, lists, tally marks, symbols or digital tools

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Learning goalsSay it simply

Categorical data sorts answers into named groups. Data can be recorded with objects, drawings, lists, tally marks, symbols or digital tools.

Learning routine: Ask question → Choose categories → Collect data → Record carefully

Success looks like

  • Ask categorical questions
  • Choose categories
  • Collect data
  • Record with tallies/symbols
  • Count responses
Key conceptTeach from the board

Categories must match the question

Question: favourite fruitCategories: apple, banana, orangeRecord: tally marks

Every response should fit one category or a planned other category.

Record each answer once

apple |||banana ||orange ||||

Organised recording makes it easier to count later.

Explain your thinking: Say what each part of the model represents, then explain why the answer or conclusion follows.

Clean visual examplesOne-page board

Clean one-page examples

AC9M1ST01 - Collecting Categorical Data
Example 1

Question: favourite fruit Categories: apple, banana, orange Record: tally marks

Example 2

apple ||| banana || orange ||||

Example 3

Class question Ask a simple categorical question and list possible categories. Model: How do you travel to school?

Example 4

Tally record Record 10 responses using tally marks. Model: walk |||

Curriculum examplesCurriculum examples

These curriculum examples extend the central model into varied contexts. They are learning contexts, not extra definitions to memorise.

E1

discussing methods of collecting data to answer a question, such as “What types of rubbish are found in the playground?”, sharing ideas and trying out some of the suggested methods; reviewing the data collected and explaining how they might change the way they collect data next time

Try and explain: You want to count playground rubbish types without touching them. Choose categories for paper, food scraps and wrappers. What should happen to an unfamiliar item?

Answer and teaching point

Record it in an agreed ‘other’ category and review the categories afterwards. Do not quietly omit it or count it twice.

E2

collecting and recording information on a topic of interest using lists; for example, “how many people follow a particular football team” or “what colour eyes each person has”; examining the data, to generate some questions that it could answer, then rearranging the data or collecting different data to answer the question

Try and explain: Five favourite-fruit responses are apple, pear, apple, banana, pear. Which question can this list answer?

Answer and teaching point

It can answer how many of these five responses belong to each fruit: apple 2, pear 2, banana 1. It cannot tell us everyone's favourite fruit.

E3

creating a tally to record data while observing events such as the year level of students using the bike shed; deciding on the possible categories before the observations are taken, then reviewing the data afterwards to notice whether the tally was effective

Try and explain: A tally has four marks for Year 1 cyclists. One more Year 1 cyclist arrives. What changes?

Answer and teaching point

Add one mark to make five. One observed student contributes one tally; record the observation in the correct year category.

E4

using star charts with stickers or emojis to represent class data; for example, using emojis on a personal feeling chart to represent how they are feeling each day or using emojis to represent activities on the class calendar

Try and explain: A chart uses one sticker for each completed reading session. Mia has three stickers. What does that show, and what does it not show?

Answer and teaching point

It shows three recorded sessions. Without more information, it does not show the number of books or minutes read.

E5

role-playing being a chatbot asking simple yes/no questions and collecting data, and representing the data using virtual manipulatives, stickers or emojis

Try and explain: A pretend chatbot asks five children ‘Did you walk to school today?’ The replies are yes, no, yes, yes, no. Record the totals.

Answer and teaching point

Yes: 3. No: 2. The totals add to five replies, so each child's response is represented once.

E6

exploring ways of representing, sharing and communicating data through stories and symbols used by First Nations Australians

Cultural safety: Use a community-approved source, name the specific Nation or community where the source does, and avoid presenting diverse First Nations knowledges as one generic tradition. Follow local cultural and intellectual property protocols before inviting community participation.

Record each response once

Collect categorical data with clear choices and a reliable record.

Worked example

Five children choose a game: tag, hide-and-seek, tag, ball game, tag. Make a tally record.

Favourite game responses
GameTallyCount
Tag| | |3
Hide-and-seek|1
Ball game|1
  1. Make one row for each game category.
  2. Read each child's choice once and add one tally to its row.
  3. The counts are tag 3, hide-and-seek 1 and ball game 1. The total is five, matching the number of children.

Watch for this mistake: A child who likes two games must still give one response if the question asks for a single favourite. Make that rule clear before collecting data.

Try it, then explain

  1. Four answers are apple, pear, pear, apple. Record the count for each category.

    Hint

    Make one mark for each answer.

    Answer and explanation

    Apple 2 and pear 2; four responses altogether.

  2. Six students each choose one colour, but the tallies total seven. What should be checked?

    Hint

    Compare the record with the original responses.

    Answer and explanation

    Check for a response counted twice or an extra mark. The counts should total six.

Questions and answersWith answers

Key idea: Categorical data sorts answers into named groups. Data can be recorded with objects, drawings, lists, tally marks, symbols or digital tools.

Remember

  • Ask categorical questions
  • Choose categories
  • Collect data
  • Record with tallies/symbols
  • Count responses

Quick questions

  • What is a categorical question?
  • Give three categories for favourite pet.
  • Why use tally marks?
  • What does frequency mean?

Return to the concept model if an answer is uncertain. Use the model to explain, not just to guess.

Practice and reviewReady for practice
  • Unclear categories — Make categories that answer the question.
  • Counting a response twice — Record each data item once.
  • Mixing category and number — The category is the group name; the frequency is how many.
Curriculum alignmentStart here

Categorical data sorts answers into named groups. Data can be recorded with objects, drawings, lists, tally marks, symbols or digital tools.

Learning routine: Ask question → Choose categories → Collect data → Record carefully

Success looks like

  • Ask categorical questions
  • Choose categories
  • Collect data
  • Record with tallies/symbols
  • Count responses

AC9M1ST01: acquire and record data for categorical variables in various ways including using digital tools, objects, images, drawings, lists, tally marks and symbols

Australian Curriculum Version 9.0

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