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)

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

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.

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. ...

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.

Text

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, ...

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.

Downloadable

The humanoid project

Students explore a large data set.

Online

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.

Video

Algebra basics video

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

Online

Formulating algebraic expressions

This lesson encompasses students’ introduction to formal algebraic concepts. Students will be introduced to the concept of variables and will explore the construction of algebraic expressions using concrete materials. Students explore a range of authentic contexts and hands-on materials in this lesson to ensure their initial ...

Online

Graphs: formulas and variables

In this lesson, students use algebra and linear equations to model two real-world scenarios to find information to make the best choice. Students set the aim of saving for a mobile phone (or similar goal) and use linear equations to model the pay rates of two part-time jobs to help make the better decision. This lesson ...

Text

7St01A Data classification and visualisation - Ochre Education

This unit of work focuses on data visualisation. Students define and classify data and variables as categorical (nominal or ordinal) or numerical (discrete or continuous); create displays for categorical data including column graphs and pictograms; create displays of numerical data including dot plots, stem-and-leaf plots, ...

Online

Conduct statistical investigations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Conduct statistical investigations. Student have been learning about measures of spread in terms of mean, median, mode and range. They use these values to interpret data and data displays. They are familiar with statistical terminology and are ready to conduct their ...

Downloadable

Give it your best shot

Students calculate the mean, median and mode for sets of data and select the appropriate measure of centre.

Online

Represent collected data: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Represent collected data. Students expand their knowledge of numerical data displays. Students draw or use digital software, to create their graphs or charts. Give ample opportunities to practise drawing stem-and-leaf plots, especially choosing the correct stems. Then, ...

Online

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.

Online

Practical numbers: Part 1

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

Text

Solving equations with algebra mats

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.

Online

Linear expressions and equations: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Linear expressions and equations. Students solve linear equations with one variable where the solution is a natural number. Begin with solving single-step equations to unpack the basic principles before moving to 2-step equations.