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Mathematics / Year 6 / Statistics and Probability / Data representation and interpretation

Curriculum content descriptions

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147)

Elaborations
  • comparing different student-generated diagrams, tables and graphs, describing their similarities and differences and commenting on the usefulness of each representation for interpreting the data
  • understanding that data can be represented in different ways, sometimes with one symbol representing more than one piece of data, and that it is important to read all information about a representation before making judgments
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Categorical data,  Column graphs

Video

Graphing

Graphs can be used to illustrate the relationship between two variables. Watch this fun animation from NASA to learn the basics of graphing.

Interactive

Syllabus bites – dot plots and two-way tables

A webpage with information and useful links related to dot plots and two-way tables

Text

ACMF: Effects of selective breeding

This resource is a web page providing information about an experiment on the growth rate of different chicken breeds carried out by students at James Ruse Agricultural High School in NSW, which shows the influence of selective breeding on chicken weight. It includes a side-by-side column graph comparing the weight of egg ...

Online

Data in Gapminder world

This resource is a dataset providing data for a number of indicators of development over time for more than 200 countries. The indicators fall into the following categories: population, health, economy, environment, work, infrastructure, energy and education, with over 500 sets of data in total. Each set of data can be ...

Interactive

Leisure survey

Explore how kids use their leisure time. Choose questions to ask in a survey. For example, look at the percentages of kids that play tennis, basketball or netball. Examine a table of results. Sort the data and use it to answer questions. Display the results using a suitable type of graph such as a pie chart, bar graph or ...

Online

reSolve: Scrabble Stats

This sequence of lessons invites students to collect data about letter frequency in a variety of text sources. They use their findings to critically evaluate letter point values in Scrabble, compare them to historical values, create their own themed Scrabble point values and to decipher an encoded excerpt of text. Each ...

Online

reSolve: Reconciliation data

This lesson prompts students to examine data from the Reconciliation Barometer report, collect their own local data and compare with the national findings. Students discuss the meaning of reconciliation, explore statements from Reconciliation Barometer report, design a survey to collect local data relating to the statements ...

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Questions can be asked and answered by collecting and interpreting data: Multi-age 3–6 Year A – Unit 5

This unit introduces the big idea that questions can be asked and answered by interpreting data.

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Is the AI model accurate?

In this lesson, students conduct a statistical investigation to gather data to evaluate how well an artificial intelligence (AI) model works. Students apply their knowledge of percentage and use digital tools to record and analyse data. This lesson has cross learning area connections with Digital Technologies.

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Sustainability

Use this sequence of 5 lessons to connect the cross-curriculum priority of Sustainability with Number, Measurement and Statistics. Helping us see the connection between our everyday actions and the larger environmental impact is important for sustainable use of resources. Use the context of water use to learn about the ...

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Patterns & Algebra Year 6 - Frogs Lesson - Calculate

This activity is designed to encourage students to engage with a problem, before they overthink it. Too often in class we begin with what is familiar to students and gradually increase the challenge. This problem begins with a challenge and encourages students to work backwards to solve a simpler problem, before applying ...

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Representing images using binary: totems

In this lesson, students will interpret a First Nations Australian artwork by representing an image they create as a binary image with accompanying code.

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Work sample Year 6 Mathematics: Interpreting and comparing data

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 6 Mathematics: Fundraiser

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Downloadable

First steps in mathematics: Chance and data

This guide supports teachers to develop students’ understanding, skills and processes related to probability and statistics.

Downloadable

Statistics and probability: Foundation to Year 9

This comprehensive resource describes the progression of ideas that cover statistics and probability. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in chance and data including teaching and cultural implications.

Online

Saltwater crocs: resourceful or a resource?

This lesson focuses on the analysis of a dataset that records scientific data collected about the crocodile population in the Kimberley region during 2015. The lesson follows an inquiry process where students use the dataset to answer relevant questions about the crocodile population. It also provides an opportunity for ...

Online

Interpret and compare data displays: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Interpret and compare data displays. Students interpret and compare datasets using different data displays and visualisations.

Downloadable

Owning a pet

This lesson asks students to explore statistics about pet ownership in Australia and the cost of buying and maintaining a pet. During the activities, students are asked to gather and compare data about pets in Australia using trusted information sources such as the RSPCA. They go on to consider the costs and benefits of ...

Online

Paying It Forward Years 5-6

This is a cross-curricular unit about the values that underpin Australia’s democracy, the freedoms they enjoy and their role and the role of the government as duty bearers of rights. Students learn to appreciate the role of volunteers and Australia’s three levels of government in supporting the community. Students will ...