Mathematics / Year 5 / Statistics

Curriculum content descriptions

acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables, to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of the data (AC9M5ST01)

Elaborations
  • recognising that ordinal data is a form of categorical data even though the data being collected might be numbers; for example, a rating scale using numbers \(1 – 5\) to represent the categories people can choose from when asked, “What rating would you give this film out of \(5\)?”
  • determining the mode for a set of data and discussing that there may be more than one mode
  • identifying the best methods of presenting data to illustrate the results of investigations and justifying the choice of representations
  • acquiring data through chance experiments, discussing and reporting on the distribution of outcomes and how this relates to equal and unequal outcomes
  • using digital systems to validate data; for example, recognising the difference between numerical, text and date formats in spreadsheets; setting data types in a spreadsheet to make sure a date is input correctly
  • exploring how travel and online shopping websites and apps collect ordinal data from users to provide customer satisfaction and popularity ratings, and how they use recommendation algorithms to assist customers in travel planning or retail purchasing
  • investigating data relating to Australia’s reconciliation process with First Nations Australians, posing questions, discussing and reporting on findings
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Discrete data,  Categorical data,  Data analysis,  Data collection,  Mode

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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 altitude data

In this lesson, students acquire data related to the altitudes reached by fledgling osprey practising flight. This lesson is the first in a series of six lessons that connect the cross-curriculum priority of Sustainability, Statistics and the Science learning area: Science as a human endeavour. This lesson was developed ...

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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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Biosecurity

In this set of learning activities, students explore biosecurity and the role it plays in sustaining our agricultural industries and the wider economy. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource sheets. The resource also provides ...

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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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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 ...

Interactive

Syllabus bites – dot plots and two-way tables

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

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Graphing

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

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Mixed Up Maths, Ep 6: Maths saves lives

Can maths really help to save lives? In this clip we see some real life applications of mathematics. Some are about helping to save lives others are about how maths can be useful. What do Florence Nightingale and WHO, the World Health Organisation have in common?

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MathXplosion, Ep 42: Maths in nature

Maths can be found in living things and natural structures. Explore mathematical patterns in nature, such as the tessellating hexagonal units of a honeycomb, the bilateral symmetry of a leaf, the radial symmetry of a snowflake and spiderweb, and the number of right or left spirals on a pinecone or pineapple (Fibonacci numbers).

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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.

Interactive

Invictus Games Sydney 2018 – Stage 3 – Adaptivity and Invictus

This Stage 3 unit explores the idea of ‘adaptivity’ and identity across a number of KLAs. Students will answer the question ‘What is adaptivity?’ and will develop an understanding of how adaptivity serves inclusivity, especially in relation to adaptive sport. Students will explore the history and future of prosthetics. ...

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Interactive

Kitchen gardens – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on kitchen gardens using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate and ...

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

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MathXplosion, Ep 45: How to make an origami frog

Origami folds have associated geometric patterns or "paper trails" in which we are able to visualise different types of triangles, angles, polygons, lines and symmetry. Use these patterns to turn a two-dimensional flat sheet of paper into a three-dimensional hopping frog!

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TIMES Module 3: Statistics and Probability: data investigation and interpretation, year 5 - teacher guide

This is a 13-page guide for teachers. In this module, in the context of statistical data investigations, measurement data is introduced and contrasted with categorical data and count data. This module also considers more general examples of count data than the year 4 module.