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Mathematics / Year 5 / Statistics and Probability / Data representation and interpretation

Curriculum content descriptions

Describe and interpret different data sets in context (ACMSP120)

Elaborations
  • using and comparing data representations for different data sets to help decision making
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Data representation

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Work sample Year 5 Mathematics: Locating decimals

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 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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Stellar navigation and mathematics

Before GPS, there were many ways to navigate, including using the stars. In this resource, students and teachers will learn about celestial positions, the azimuth and altitude to shape their understanding of traditional navigational techniques.

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

First steps in mathematics: Chance and data

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

Downloadable

First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

Downloadable

Number: Foundation to Year 9

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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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 ...

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When I post something online how permanent is it?

Students engage in a photo rip up activity to emphasize the permanency of online information, they explore factor trees, doubling and line graphs through the lens of sharing information, and they collaboratively develop a set of protocols around sharing information online.

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Creating my own spreadsheet to convert binary to decimal

A spreadsheet can be used to do calculations quickly using formulas. How can we make a spreadsheet that converts a binary number to a decimal number? This lesson provides some guidance and Excel files for student and teacher use.

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Conduct statistical investigations: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Conduct statistical investigations. Students plan and conduct a statistical investigation. They pose questions and collect data using simple surveys or checklists. They select appropriate ways to display the data, interpret the represented data, and communicate their findings.

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Interpret and compare data displays: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Interpret and compare data displays. Students interpret line graphs representing change over time. They discuss the relationships that are represented and draw conclusions.

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Number sequence: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Number sequence. Students compare and order fractions and mixed numbers with the same and related denominators and demonstrate their understanding of the values of fractions on a number line.

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Welcome to Victoria

In this learning sequence, students undertake research in order to create tour packs for families visiting Victoria. Students use public transport and tourism websites to develop itineraries outlining ways in which families can visit at least two places of interest using public transport. The packs include: information ...

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

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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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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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 ...

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 ...

Video

Farm Diaries: producer video

This is a video about pig production at the Tintinara property of the Mount Boothby Pastoral Company in South Australia. Pigs at various stages are shown, including nursing piglets, weaned piglets weighing between 7 and 10k, and pigs close to a live weight of 100k. Pig producer Alastair Johnson gives statistics about the ...

Interactive

Laptop wrap: Horology hiccup

A laptop-friendly resource focussed on the concept of time. Features guided technology-based activities.

Interactive

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

Interactive

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

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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.

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Stateline: Orienteering: using a map and compass

Orienteering requires knowledge of directions, an ability to read a map and the use of a magnetic compass. Find out about the basics of orienteering.

Interactive

Sites2See – measurement for primary

Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

Interactive

Ordering Decimals

An animated tutorial about ordering numbers with up to 3 decimal places. An interactive quiz is included.

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.

Video

MathXplosion, Ep 20: Crack an ancient Roman code

Decrypt the ancient cipher box used by Julius Caesar over 2,000 years ago! By shifting the alphabet or replacing one letter for another further down the alphabetical sequence, you can crack a coded message. The secret to a cipher is one special piece of shared information, known as a key. This shared key is required for ...

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Mixed Up Maths, Ep 4: Late again!

Ever missed an appointment because you misread a timetable? Well it is easily done if you don't know how to read 24 hour time. In this clip, see how to read 24 hour time and find out where it is commonly used. Look at the other time system used -12 hour time. Find out what those letters 'am' and 'pm' really mean! Compare ...

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For the Juniors: Drawing a floor plan

How do we know what a house will look like before it is built? Discover how house plans work by looking at the design of a house that Hugo's family is going to build. See how a floor plan shows the room layout. See drawings of what the house will look like from different views.

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Sphero slalom lesson

In this lesson students explore slalom sports and how competitors maximise speed when completing a course. Students research different slalom sports and then share their findings with the class. Students investigate the impact of distance and friction on time to complete a course through digital and unplugged activities. ...

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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.

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What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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Australian Historical Population Statistics to 2014 - dataset

The dataset provides statistics about the population of Australia in terms of age and sex from 1901 to 2014. It is made available by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

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The First Fleet - dataset collections

The dataset provides information about 780 of the convicts transported to Australia on the First Fleet ships 'Alexander', 'Charlotte', 'Lady Penrhyn', 'Friendship', 'Prince of Wales' and 'Scarborough' in 1788. The dataset includes information on items such as the convict's name, occupation, crime, date of trial and term ...

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Australia's population: countries of birth - dataset

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.

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Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

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 ...

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MoneySmart: Hey! Let's have a big day out!

This is a year 5 mathematics unit of work about costing and budgeting for various types of family outings. The unit is intended to take about 7.5 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, five sets of student activities, and teacher notes ...

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 ...

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Introduction to binary

This sequence of lessons focuses on what a binary number is, what a decimal number is, why binary numbers are important in digital systems and how to read and understand a binary number.

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Measurement and Geometry- Location and transformation

This is a unit of work that uses farming to explore the measurement and geometry concepts of grid references, directional language, area and length. It has a teacher directed task that introduces directional language and grid references and two student work tasks. The work tasks involve designing a farm using a grid and ...

Interactive

Wishball: hundredths

Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

Interactive

Rainforest: make a walking track

Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.

Interactive

Decimaster: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on an area representation and a common fraction. Match three decimals with each tool.

Interactive

Playground percentages

Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

Interactive

Rainforest: use compass points

Use compass points and a scale to find places on a map. Understand abbreviations such as N, W, SW and E. Follow instructions to find four locations. As you go, look up the meaning of tricky words.

Interactive

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

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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Finding Farms

This is a teacher resource containing a series of inquiry teaching sequences about life on farms in Australia. It contains material to assist the planning, implementing and assessing a study of five primary industry sectors involved in food and fibre production. The tasks in this resource are based around illustrated maps ...

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reSolve: Data - Making decisions

This sequence of two lessons explores data collection, representation and interpretation, particularly graphs. Students are presented with unlabelled graphs and invited to add their own labels and create a story to describe the graph. They are then asked to conduct an experiment testing the viscosity of household substances ...

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reSolve: Lamingtons

This sequence of three lessons explores the mathematical idea that fractions represent division. In the first lesson, students are invited to solve a problem involving fair sharing of different plates of lamingtons. Students explore how the denominator represents how many shares and the numerator represents the number being ...

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Push your luck

This teaching resource outlines an introductory activity for students involving rolling two dice multiple times, adding the numerical value shown on the faces and recording the outcome using a tally sheet. The resource could be used by teachers to plan a class activity, or for students to carry out at home. The resource ...

Interactive

Fraction basics - Easy & Effective Fractions Tutor - iTunes app

Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.