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

Interactive

Syllabus bites – dot plots and two-way tables

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

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

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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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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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 ...

Downloadable

First steps in mathematics: Chance and data

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

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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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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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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 ...

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 ...

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TIMES Module 4: Statistics and Probability: data investigation and interpretation, year 6 - teacher guide

This is a 23-page guide for teachers. This module uses a number of examples to illustrate different types of data and develop the statistical data investigation process. It suggests the following steps: considering the initial questions that motivate an investigation; identifying issues; planning, collecting, handling and ...

Video

MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.