Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
reSolve: Real-world algebra – linear functions
This sequence of two lessons explores real-world, algebraic, numeric and graphical representations of linear functions, focussing on the gradient of linear functions. Students use images of everyday objects and inscribe straight lines, then use GeoGebra to explore the algebraic representation of their lines. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry special topic 'Bringing the real world into algebra'.
Additional details |
|
| Year level(s) | Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Mathematics investigation |
| Keywords | linear equations, geogebra, maths investigations, Cartesian coordinates, gradients |
Curriculum alignment |
|
| Curriculum connections | Numeracy |
| Strand and focus | Algebra, Build understanding |
| Topics | Linear relationships |
| AC: Mathematics (V9.0) content descriptions |
AC9M8A02
Graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution |
| Numeracy progression |
Number patterns and algebraic thinking (P7)
|
Copyright details |
|
| Organisation | reSolve Maths by Inquiry |
| Copyright | © Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Comparing proportional quantities - Level 8
This sequence of 7 lessons empowers students to develop their mathematical modelling skills through hands-on activities focused on rates and financial concepts.
Resource details -
Linear algebra - Level 8
In this sequence of 16 lessons, students learn to simplify, solve and graph linear equations. They use real life examples to find patterns and make predictions.
Resource details -
Straight line graphs inquiry
A lesson sequence that involves students understanding the process of plotting linear relationships on the Cartesian plane.
Resource details -
Solving equations inquiry
An exploration of linear equations that involves inductive and dedutive reasoning.
Resource details -
reSolve: Mathematical modelling – pricing for profit
This is a series of inquiry-based lessons about modelling profit and loss by generalising algebraic relationships and interpreting graphs.
Resource details -
Linear expressions and equations: Year 8 – planning tool
This planning resource for Year 8 is for the topic of Linear expressions and equations.
Resource details -
Graphs: Year 8 – planning tool
This planning resource for Year 8 is for the topic of Graphs.
Resource details