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

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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)

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4 direct matches to ACMNA180 | 16 other related resources
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Interactive

Syllabus Bites: Graphing direct proportion

  • TLF-IDM016349

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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Text

NFF: Farm facts 2012

  • TLF-IDM016068

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, ...

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Online

Trade and Investment at a Glance

  • TLF-IDM025125

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 ...

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Video

Algebraic equations: video and teaching guide

  • TLF-IDA003037

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 ...

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Downloadable

Expressions, formulas and substitution

  • TLF-IDA003497

In the lesson ‘Formulating algebraic expressions’, students were introduced to variables and forming algebraic expressions. In this lesson, students continue to develop these skills and will explore substituting values into familiar and unfamiliar formulas to determine an unknown. Students explore substitution in a range ...

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Text

Data in Gapminder world

  • TLF-IDM012538

This resource is a dataset providing data for a number of indicators of development over time for more than 200 countries. The indicators fall into the following categories: population, health, economy, environment, work, infrastructure, energy and education, with over 500 sets of data in total. Each set of data can be ...

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Interactive

Waste and materials – sustainability action process (Years 7–10)

  • TLF-IDM020971

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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Text

Climate calculations

  • TLF-IDA005780

In this set of learning activities, students use science, technologies and mathematics to explore climate change and to develop approaches that communities might implement to adapt to climate change. The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable ...

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Text

Water games

  • TLF-IDA005798

In this set of learning activities, students explore the question 'What process can be designed that will change people's habits towards water saving and result in reducing demand?' The module includes a comprehensive teacher guide, curriculum links, materials lists, design process guides and printable student resource ...

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Text

Algebra Tiles: Learning Sequence - Calculate

  • TLF-IDA004306

The following is a suggested teaching and learning sequence for using Algebra Tiles.

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Text

Sleepy statistics: Analysis: Part 2

  • TLF-IDA004604

In this second of two lessons, students represent their acquired sleep data using a back-to-back stem-and-leaf plot and draw conclusions based on statistical analysis.

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Online

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

  • TLF-IDM008606

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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Online

TIMES Module 1: Number and Algebra: sets and Venn diagrams - teacher guide

  • TLF-IDM009167

This is a 22-page guide for teachers. The module provides an introduction to set notation and demonstrates its use in logic, probability and functions.

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Interactive

Syllabus bites: More Venn diagrams

  • TLF-IDM016138

An interactive exploration of Venn diagrams with three attributes.

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Text

Solving equations with algebra mats

  • TLF-IDA004608

In this lesson, students are introduced to solving one-variable linear expressions using a variety of concrete materials, which are related to authentic contexts to enhance their understanding.

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Interactive

Syllabus Bites: Revisiting proportion

  • TLF-IDM016285

This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.

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Text

Years 7–8: Binary numbers

  • TLF-IDA004790

This scope and sequence unit introduces students to the binary system of ones and zeros used by digital technology to store and process numbers.

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Text

Years 7–8: Working with data

  • TLF-IDA004791

This scope and sequence unit focuses on the skills required to acquire, analyse and visualise data. Students can acquire data from sources ranging from paper and digital surveys to electronic sensors and online data repositories. Spreadsheets and single-table databases can be used for data analysis and visualisation. At ...

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Text

Years 7–8: Collaborative data project

  • TLF-IDA004787

This scope and sequence unit provides an opportunity for students to apply the data-analysis skills from the ‘Working with data’ unit in the context of a digital solution designed, developed and evaluated collaboratively.

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Text

Using algebra tiles to solve equations

  • TLF-IDA004606

In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.

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