Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Substitution inquiry
The lesson aims to challenge students through exploring their understanding of inequalities and substitution. Students work collaboratively, following guided questions to explore the relationships between a set of inequalities. The lesson is aimed to challenge students' thinking, encouraging them to explore and deepen their conceptual understanding. The resource includes classroom examples, teacher notes and guided questions.
Additional details |
|
| Year level(s) | Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Assessment task, Extension, Student task, Teaching resource |
| Format | Downloadable resources |
| Teaching strategies and pedagogical approaches | Collaborative learning, Feedback, Mathematics investigation |
| Keywords | inequality, substitution, algebra, squares, operations |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Algebra, Number, Apply understanding |
| Topics | Algebraic expressions, Indices, Operating with number |
| 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
AC9M8A01
Create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties |
| Numeracy progression |
Number patterns and algebraic thinking (P7)
|
Copyright details |
|
| Organisation | Inquiry Maths |
| Copyright | © Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0. |
Related resources
-
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 -
WS06 - Reclaim the void
Use this work sample to assess students' knowledge and skills to use mathematical modelling to solve a real world problem.
Resource details -
WS02 - Random selection
Use this work sample to assess students' knowledge and skills in investigating possible outcomes of events.
Resource details -
WS01 – Linear relationships in the real world
Use this work sample to assess students' knowledge and skills of rates and linear relationships.
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 -
Recurring decimals inquiry
Recognising recurring decimals and choosing their appropriate representations.
Resource details -
Number line inquiry
This prompt invites students to generalise about the difference between two products.
Resource details