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Algebra in Action: Patterns, Generalisations and Relationships

Stages

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1. Rules, Rules, Rules

Suggested Learning Intentions

To use a pattern to find an unknown
To determine an unknown using pronumerals
To explore, construct and explain generalisations between two variables

Sample Success Criteria

I can describe a pattern
I can determine an unknown using pronumerals
I can create a rule to describe a relationship between two variables
I can model and justify my thinking using a range of manipulatives

2. Garden Beds

Suggested Learning Intentions

To use a pattern to find an unknown
To describe an unknown using pronumerals
To explore, construct and explain generalisations between two variables
To investigate, interpret and analyse graphs
To connect algebraic expressions and their graphical representations
To understand and justify that there is more than one way to describe a generalisation

Sample Success Criteria

I can describe a pattern
I can use a pattern to find an unknown
I can determine an unknown using pronumerals
I can construct generalisations between two variables
I can create a rule to describe a relationship between two variables
I can describe the elements of graphs
I can match algebraic expressions with their graphical representation
I can represent a generalisation in more than one way
I can use manipulatives to model and justify my solutions

3. The Snail Problem

Suggested Learning Intentions

To use a pattern to find an unknown
To describe an unknown using pronumerals
To solve linear and non-linear equations using algebraic and graphical techniques
To compare and contrast the elements of linear and non-linear equations
To successfully apply a range of problem-solving strategies to a given task

Sample Success Criteria

I can describe a pattern
I can model a pattern using concrete materials
I can determine an unknown using pronumerals
I can graph algebraic expressions
I can identify the elements of a graph
I can use a range of problem-solving strategies
I can explain and justify my solutions using a variety of manipulatives

4. Chocolate Boxes

Suggested Learning Intentions

To use a pattern to find an unknown
To describe an unknown using pronumerals
To explore, construct and explain generalisations between two variables
To complete a mathematical investigation involving variables
To successfully apply a range of problem-solving strategies to a given task

Sample Success Criteria

I can use a pattern to find an unknown
I can model a pattern using concrete materials
I can use pronumerals to describe an unknown
I can describe a relationship between two variables using an algebraic expression
I can complete a mathematical investigation involving variables
I can select an appropriate problem-solving strategy from a range of strategies and successfully apply it to a task
I can use a range of manipulatives to explain and justify my solutions

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