Representing and comparing data: Year 1 Maths topic guide

What students learn in AC9M1ST02

This unit helps students build a clear, usable understanding of Representing and comparing data. 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: represent collected data for a categorical variable using one-to-one displays and digital tools where appropriate; compare the data using frequencies and discuss the findings.
• Use concrete examples, pictures, oral explanation and short written responses before moving to independent practice.
• creating a pictograph with objects or drawings; discussing the possible categories for the pictograph, arranging the objects or drawings into the categories, then reflecting on the chosen categories and deciding whether they were helpful translating data from a list or pictorial display into a tally chart to make counting easier; describing what the tally chart is showing, by referring to the categories; using skip counting by fives to compare the numbers within each category and explaining how the tally chart answers the question
• 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: represent collected data for a categorical variable using one-to-one displays and digital tools where appropriate; compare the data using frequencies and discuss the findings
• E1: creating a pictograph with objects or drawings; discussing the possible categories for the pictograph, arranging the objects or drawings into the categories, then reflecting on the chosen categories and deciding whether they were helpful
• E2: translating data from a list or pictorial display into a tally chart to make counting easier; describing what the tally chart is showing, by referring to the categories; using skip counting by fives to compare the numbers within each category and explaining how the tally chart answers the question
• E3: recognising that when there is no data for a particular category you may choose whether or not to include it in your data display, and use a zero or blank for that category depending on the purpose of the data collection or presentation; for example, creating a birthday calendar for the class and discussing that there are no students born in May and therefore there are no names listed
• E4: representing data with objects and drawings where one object or drawing represents one data value; describing the displays and explaining patterns that have been created using counting strategies to determine the frequency of responses
• E5: discussing what data frequency means in terms of the total count for a particular category and relating the highest frequency to being the most popular category in the collected data
• E6: exploring First Nations Australian children’s instructive games; for example, Kolap from Mer Island in the Torres Strait region, recording the outcomes, representing and discussing the results (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.

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.

Related Year 1 Maths topics

• AC9M1N01: Numbers to 120
• AC9M1N02: Partitioning tens and ones
• AC9M1N03: Skip counting and equal groups
• AC9M1N04: Addition and subtraction within 20
• AC9M1N05: Additive problem solving and money
• AC9M1N06: Equal sharing and grouping
• AC9M1A01: Skip-counting pattern sequences
• AC9M1A02: Repeating patterns

Official curriculum references

• Australian Curriculum Version 9.0
• Victorian Curriculum F-10
• NSW Curriculum
• Common Core State Standards
• Next Generation Science Standards
• England National Curriculum
• New Zealand Curriculum
• NCERT textbooks