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Mathematics: Algebra
Level indicator: Level 1 - Copy a pattern and create the next element Level 2 - Use systematic counting to continue a pattern and find number values Level 3 - Predict values using relationships between successive elements Level 4 - Predict values using rules Level 5i - Find an algebraic expression for a relationship Level 5ii - Solve linear equations related to patterns

Exploring Patterns

Find an algebraic expression for a relationship

Exploring patterns progression
About the Exemplars
Progress indicators
What the work shows The learning context Where to next Curriculum links
What the work shows

The task

The teacher asked the students to:

  • copy the pattern shown and draw the next element
  • describe and use rules to predict subsequent elements of the pattern.
Images of student problem solving process

Prue's work shows that she is able to:

  • use algebraic notation to state rules for any element of a pattern
  • use algebraic conventions correctly: "n x n = n2 ".

Images of student problem solving process

Keanu's work shows that he is able to:

  • identify rules for a pattern
  • use algebraic notation to express the rules.

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