# Maths Stage 4 Linear Relationships

`Subject Area: 7-10 Mathematics`
`Author: Melissa Griffin`

## Description

Students are given diagrams representing the modelling of an arithmetic pattern. They draw a diagram to represent their construction of the next structure required to continue the pattern. They then complete a table of values. From observations, constructions and table completion students determine a rule to describe the pattern, providing an explanation of how they obtained the rule. They use their rule to predict a structure further along in the pattern.

Domain: Mathematics

Strand: Working Mathematically   Sub-strand:  Linear Relationships

http://syllabus.bostes.nsw.edu.au/mathematics/mathematics-k10/workingmathematically-and-content-strands/

https://syllabus.bostes.nsw.edu.au/mathematics/mathematicsk10/outcomes/outcomes-detail/outcomes-content/341/

## Purpose

The objectives and outcomes have been sourced from the NSW curriculum, in the NSW Education Standards Authority website. This task is about using mathematical techniques or working like a mathematician to solve problems, working with patterns and modelling patterns algebraically.  These skills can be applied across a wide range of tasks that involve patterns.

### Objectives

• develop understanding and fluency in mathematics through inquiry, exploring and connecting mathematical concepts, choosing and applying problem-solving skills and mathematical techniques, communication and reasoning
• develop efficient strategies for numerical calculation, recognise patterns, describe relationships and apply algebraic techniques and generalisation

### Outcomes – used in the capabilities

• MA4-1WM communicates and connects mathematical ideas using appropriate terminology, diagrams and symbols
• MA4-2WM applies appropriate mathematical techniques to solve problems
• MA4-3WM recognises and explains mathematical relationships using reasoning

## Rubrics Click on link below to go to rubric