Mathematics / Year 6 / Statistics

Curriculum content descriptions

interpret and compare data sets for ordinal and nominal categorical, discrete and continuous numerical variables using comparative displays or visualisations and digital tools; compare distributions in terms of mode, range and shape (AC9M6ST01)

Elaborations
  • determining the range for a numerical data set by finding the difference between the highest and the lowest value in the set and comparing the range for different data sets
  • representing acquired numerical data sets using side-by-side column graphs, comparing the spread of each data set using the range, the highest frequency for each data set using the mode, and discussing the shape
  • representing ordinal data collected through surveys, using visualisation tools including dot plots and bar charts, and discussing the distribution of data in terms of shape
  • using technology to access data sets and graphing software to construct side-by-side column graphs or stacked line graphs; comparing data sets that are grouped by gender, year level, age group or other variables and discussing findings
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Distributions (Statistics),  Range (Statistics),  Data representation,  Graphs (Data representation),  Data collection,  Mode

Text

reSolve: Statistics: Loopy aeroplanes

This sequence of 8 lessons is designed for students to explore statistical concepts through hands-on experimentation with paper aeroplanes. Students construct "loopy" aeroplanes using different designs, collect and analyse data on their flight performances, and determine which design is most effective. Key learning goals, ...

Text

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 ...

Text

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 ...

Text

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, ...

Text

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 ...

Text

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.

Text

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.

Text

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.

Text

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 ...

Text

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 ...

Text

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 ...

Text

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 ...

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 ...

Text

reSolve: Directed number

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...

Text

reSolve: Fraction Benchmarks

This sequence of two lessons focuses on the idea that fractions are numbers and builds students' understanding of the relative sizes of fractions. Students build their fractional sense through determining if fractions are closest to 0, 1/2 or 1. In the first lesson, students use sets of fraction cards to sort fractions ...

Text

reSolve: Time - Mission Control to ISS

This sequence of two lessons explores reading and interpreting timetables. Students are challenged to construct a daily schedule for three astronauts on the International Space Station given a series of activities and duties undertaken. They are then presented with a scenario and order the events, and add and subtract times ...