reSolve: Algebra – addition chain
This lesson explores making algebraic generalisations of sequences. Students use spreadsheets to investigate potential arithmetic relationships and then use algebra to identify and justify which relationships are generally true. The task can be used as a springboard for an in-depth exploration of the Fibonacci sequence and develops skills in using spreadsheets. The lessons are outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources such as spreadsheets. This sequence is part of the reSolve: Maths by Inquiry program.
- Resource details
- Year level
- Year 8
- Purpose
- Teaching resource
- Strand
- Algebra
- Topic
- Patterns and algebra Algebraic expressions
- Audience
- Teachers
- Format
- Downloadable resource
- Australian Curriculum code
- AC9M8A01
- Numeracy progression
- Number patterns and algebraic thinking (P7)
- Publisher
- reSolve Maths by Inquiry
- Copyright
- © Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.
- Keywords
- factors distributive algebra simplify pronumerals
Related resources
-

Graphical representations of linear equations
Students explore linear relationships through sequences, graphs, and equations, building understanding of positive and negative patterns.
Resource details -

Number line inquiry
This prompt invites students to generalise about the difference between two products.
Resource details -

Patterns and number facts: Year 8 – planning tool
This planning resource for Year 8 is for the topic of Patterns and number facts.
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 -

Indices inquiry
These lessons involve the use of number lines to build understanding of exponents both negative and positive.
Resource details -

Substitution inquiry
Inequalities and substitution are two concepts that students often struggle with. This prompt allows them to explore these concepts together.
Resource details