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 can be taught in tandem with Patterns, rules and graphs, though both can be taught in isolation.
Additional details |
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| Year level(s) | Year 7, Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Mathematics investigation, Questioning, Classroom talks, Explicit teaching |
| Keywords | Maths Hub lesson plan |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking |
| Strand and focus | Number, Algebra |
| Topics | Mathematical modelling, Algebraic expressions |
| AC: Mathematics (V9.0) content descriptions |
AC9M7A06
Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
AC9M7N09
Use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
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 (P6)
Additive strategies (P10) Interpreting fractions (P8) Multiplicative strategies (P9) Proportional thinking (P2) Understanding money (P7, P8) |
Copyright details |
|
| Organisation | Commonwealth of Australia |
| Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
