Mathematics / Year 7 / Number and Algebra / Linear and non-linear relationships

Curriculum content descriptions

Investigate, interpret and analyse graphs from authentic data (ACMNA180)

Elaborations
  • using travel graphs to investigate and compare the distance travelled to and from school
  • interpreting features of travel graphs such as the slope of lines and the meaning of horizontal lines
  • using graphs of evaporation rates to explore water storage
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Linear equations,  Graphs (Data representation)

Online

Trade and Investment at a Glance

Using an illustrated report from the Department of Foreign Affairs and Trade, this Teacher guide provides ten learning sequences that engage students in the analysis and interpretation of data about Australian imports and exports. Students: identify Australia's major exports and imports; investigate international trade ...

Online

reSolve: Modelling Motion - Year 7

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...

Video

Algebraic equations: video and teaching guide

This video uses an everyday scenario of three people sharing a taxi ride to explore algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning and mathematical modelling. Use the video with the supporting teacher guide as a springboard to explore mathematical concepts. The teacher guide ...

Online

Graphs: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Graphs. Students are introduced to the four-quadrant Cartesian plane. The format of the coordinates should be explained and demonstrated; coordinates do not have to be an integer value.

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Humpback whales: what the data reveals

The lesson follows an inquiry process where students use the dataset to answer relevant questions about the whale population. They consider what other data they would need in order to effectively examine the impact on humpback whales of sonar activity and noise from development.

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NFF: Farm facts 2012

This is a multilayered web page produced by the National Farmers' Federation, which includes links to a 34-page pdf and a Prezi providing a summary of agricultural production in Australia in 2012. These include information about Australian farmers and farms, as well as an overview of farming sectors such as wool, cotton, ...

Interactive

Syllabus Bites: Graphing direct proportion

This is the third in a series of Syllabus Bites related to direct and indirect proportion. Students draw graphs to represent relationships between variables in direct proportion. They associate the gradient of the graph with the constant of proportionality. They investigate practical contexts that give rise to direct proportion.

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Secondary mathematics: using real data

These seven learning activities, which focus on the use of 'real data' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use the three content strands ...

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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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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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TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

Online

Australian reported crime victims since 2010 - dataset

This is a dataset that provides statistics about crimes reported by victims from 2010 to the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is in MS Excel format.

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TIMES Module 2: Statistics and Probability: data investigation and interpretation, year 7 - teacher guide

This is a 13-page guide for teachers. In this module, in the context of statistical data investigations, we build on the content of year 5 on measurement data and count data with many different observed values of counts. Because these data types are quantitative, investigation and interpretation include considerations of ...

Video

Can you guess the weight of Uluru?

What is the "wisdom of a crowd"? Mathematician Lily Serna investigates a mathematical phenomenon that suggests that if you have a large enough crowd, with a broad variety of people making estimates, then the mean (average) answer of the crowd will be accurate! Find out if a crowd can guess the weight of Uluru from the ground ...

Video

My Five Cents: Why borrowing can cost you more

Think credit cards are basically free money? Gen Fricker will make you think again. Learn how interest rates and fees affect the money you borrow, and why they may be more expensive in the long run. Oh dear! Then test yourself with ASIC MoneySmart's "Things to think about" classroom exercises.  

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ABS: agricultural resource management practices, Australia, 2011-12

This is a digital resource containing data on various agricultural practices used on Australian farms, and was collected in a 2011-2012 Australian Bureau of Statistics survey. This resource provides information about farming practices including pasture and crop cultivation, livestock and feral animal management, fertiliser ...

Video

Modelling climate changes

There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...

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Catalyst: Take the Phi Golden challenge

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

Video

Patterns, primes and Pascal's Triangle

Are you intrigued by patterns? Check out Vi Hart as she explains how to visualise patterns in prime numbers, using Ulam's Spiral. Watch as Vi creates patterns, using Pascal's Triangle to explore relationships in number. See what happens when she circles the odd numbers. What rule does she use to create the final pattern?

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The Lives of Presidents

This resource is a web page containing an investigative task that involves the analysis of data. Data about Presidents of the United States of America in the form of a spreadsheet is provided. Create your own questions for inquiry the sort the spreadsheet by relevant criteria. A 'Getting started' and 'Solutions' page ...