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

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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 ...

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

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 ...

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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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Osprey ranking threats

In this lesson, students acquire data related to key threats to the survival of osprey. Students work in small groups to rank a list of key threats and collate the data in a class spreadsheet. They sort the data to identify the overall class ranking of threats. Students create a pie chart of the threats commonly ranked ...

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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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Flight of the osprey infographic

In this lesson, students use data acquired during their learning about the osprey and information sourced online to design and create an infographic. This lesson is the final lesson in a series of six lessons that connect the cross-curriculum priority of Sustainability, Statistics and the Science learning area: Science ...

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Osprey bird dimensions

In this lesson, students investigate measurement data related to the osprey. Students represent and interpret data related to wingspan and body length. They investigate patterns in data to describe any relationships. This lesson is the third in a series of six lessons that connect the cross-curriculum priority of Sustainability, ...

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Osprey position and location

In this lesson, students acquire data related to the migration of the osprey. Students describe location and position on a Cartesian plane using paired coordinates. They explore the way latitude and longitude is used to pinpoint a location on Earth. This lesson is the fourth in a series of six lessons that connect the cross-curriculum ...

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Osprey migration data

In this lesson, students acquire data related to the migration of the osprey. Students represent and interpret the data, discussing and reporting on the data distribution. They compare two types of charts to decide which type is best to display the dataset. This lesson is the second in a series of six lessons that connect ...

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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.

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 ...

Downloadable

Loaded dice

Students conduct chance experiments, record data into a frequency table and represent data using a column graph.

Interactive

Sites2See: Spreadsheets for mathematics

A page with example resources, exemplars and advice to help integrate spreadsheet use in teaching and learning for mathematics. Includes suggestions for use, tutorials and information on research and benefits, plus links to a range of related resources, including a teacher guide for using Microsoft Excel in the classroom. ...