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Big ideas

• Patterns are everywhere
  • Tartans and nursery rhymes
• Tartans and nursery rhymes
• Mathematical patterns are regular
  • Find the regularity
• Find the regularity
• Repeating patterns
  • One-dimensional repeating patterns
  • Two-dimensional repeating patterns
  • Repeating patterns and multiplication
• Repeating patterns and multiplication
• One-dimensional repeating patterns
• Two-dimensional repeating patterns
• Growing patterns
  • Making a staircase
• Making a staircase
• Patterns in shapes
  • The language of shapes
• The language of shapes

Misunderstandings

• Identical units of repeat
  • It's harder than you think
  • How do you teach the unit of repeat?
  • Making border patterns
• It's harder than you think
• How do you teach the unit of repeat?
• Making border patterns
• Rectangular grids
  • Structure of rectangular grids
  • Drawing rectangular grids
  • Rectangular arrays
• Structure of rectangular grids
• Drawing rectangular grids
• Rectangular arrays
• Number lines
  • Drawing and reading number lines
  • Number lines and repeating patterns
  • Drawing an analogue clock face
• Drawing and reading number lines
• Number lines and repeating patterns
• Drawing an analogue clock face
• Number sequences
  • Introducing number sequences
  • Let's have a party!
  • Find a rule
• Find a rule
• Introducing number sequences
• Let's have a party!
• Tessellations
  • Triangles tessellate
  • Making tessellations
  • Growing patterns can tessellate
• Triangles tessellate
• Making tessellations
• Growing patterns can tessellate

Good teaching

• Familiar situations
  • A pattern hunt
    • Repeating patterns in the environment
    • Symmetrical patterns in the environment
  • Repeating patterns in the environment
  • Symmetrical patterns in the environment
• A pattern hunt
  • Repeating patterns in the environment
  • Symmetrical patterns in the environment
• Repeating patterns in the environment
• Symmetrical patterns in the environment
• Patterns in school activities
  • Repeating patterns in school activities
    • Sports day
    • Picture books
  • Sports day
  • Picture books
• Repeating patterns in school activities
  • Sports day
  • Picture books
• Sports day
• Picture books
• Concrete to abstract
  • Making number sequences real
    • A hundred square
    • Folding patterns
  • A hundred square
  • Folding patterns
• Making number sequences real
  • A hundred square
  • Folding patterns
• A hundred square
• Folding patterns
• Abstraction and generalisation
  • Abstraction of repeating patterns
    • Making an AAB pattern
    • When are two patterns the same?
  • Making an AAB pattern
  • When are two patterns the same?
  • Generalisation in growing patterns
    • Growing polygons
    • Growing fractions
    • Odds and evens
  • Growing polygons
  • Growing fractions
  • Odds and evens
• Abstraction of repeating patterns
  • Making an AAB pattern
  • When are two patterns the same?
• Making an AAB pattern
• When are two patterns the same?
• Generalisation in growing patterns
  • Growing polygons
  • Growing fractions
  • Odds and evens
• Growing polygons
• Growing fractions
• Odds and evens
• Using technology
  • Examples of ICT resources
    • Monster choir patterns
    • Bee-Bots
  • Monster choir patterns
  • Bee-Bots
• Examples of ICT resources
  • Monster choir patterns
  • Bee-Bots
• Monster choir patterns
• Bee-Bots

Assessment

• Approaches to assessment
  • Observation
    • Understanding of 'chunking'
  • Understanding of 'chunking'
  • Analysis of student work
    • Bar charts
  • Bar charts
  • Individual interviews
    • Single-digit multiplication
  • Single-digit multiplication
  • Group assessment
    • Designing group assessment
    • An open-ended task
  • Designing group assessment
  • An open-ended task
• Observation
  • Understanding of 'chunking'
• Understanding of 'chunking'
• Analysis of student work
  • Bar charts
• Bar charts
• Individual interviews
  • Single-digit multiplication
• Single-digit multiplication
• Group assessment
  • Designing group assessment
  • An open-ended task
• Designing group assessment
• An open-ended task

Activities

• A hundred square
• Bee-Bots
• Drawing an analogue clock face
• Folding patterns
• Growing fractions
• Growing patterns can tessellate
• Growing polygons
• Let's have a party!
• Making an AAB pattern
• Making border patterns
• Monster choir patterns
• Odds and evens
• Picture books
• Rectangular arrays
• Repeating patterns in the environment
• Sports day
• Symmetrical patterns in the environment
• When are two patterns the same?

Downloads

• A hundred square
• A pattern analysis of 'Three Blind Mice'
• An example of a valid group assessment
• Blank hundred square
• Draw some clocks
• Explaining regularities
• Let's Make a Pattern! video transcript
• Let’s make a pattern! slide presentation
• Patterns and their applications in the Australian Curriculum: Mathematics
• Patterns in the table
• Picture books offering pattern opportunities
• Roma's party

Acknowledgements