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.
Curriculum Links
Domain: Mathematics
Strand: Working Mathematically Sub-strand: Linear Relationships
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
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