Site map

Big ideas

• Key knowledge
  • Place value
  • Number sequences
  • Number facts: Addition and subtraction
  • Number facts: Multiplication and division
• Place value
• Number sequences
• Number facts: Addition and subtraction
• Number facts: Multiplication and division
• Generalising patterns and relationships
  • Commutative and associative properties
  • Distributive property of multiplication
  • Inverse operations
• Commutative and associative properties
• Distributive property of multiplication
• Inverse operations
• Fluency and flexibility
• Strategic choice

Misunderstandings

• Learning issues
  • Memory load
  • Number sense
  • Pattern and structure
• Memory load
• Number sense
• Pattern and structure
• Mental calculation
  • Place value
  • Reliance on counting
  • Division as sharing and measuring
• Place value
• Reliance on counting
• Division as sharing and measuring

Good teaching

• Addition and subtraction
  • Doubles
  • Bridging decades
    • Up through ten
    • Back through ten
  • Up through ten
  • Back through ten
  • Standard place value
    • Using tens
    • Parking ones and moving tens
    • The power of ten
    • Renaming to add and subtract
  • Using tens
  • Parking ones and moving tens
  • The power of ten
  • Renaming to add and subtract
  • Friendly numbers
  • Subtraction as difference
    • Differences
    • Equal differences
  • Differences
  • Equal differences
  • Making choices
• Doubles
• Bridging decades
  • Up through ten
  • Back through ten
• Up through ten
• Back through ten
• Standard place value
  • Using tens
  • Parking ones and moving tens
  • The power of ten
  • Renaming to add and subtract
• Using tens
• Parking ones and moving tens
• The power of ten
• Renaming to add and subtract
• Friendly numbers
• Subtraction as difference
  • Differences
  • Equal differences
• Differences
• Equal differences
• Making choices
• Multiplication and division
  • Visualising arrays
    • What do you see?
    • Partial arrays
  • What do you see?
  • Partial arrays
  • Building connections
    • How many possible ways?
    • Splitting arrays
  • How many possible ways?
  • Splitting arrays
  • Making generalisations
    • Investigating patterns
    • Facts within facts
    • Divisibility patterns
  • Investigating patterns
  • Facts within facts
  • Divisibility patterns
  • Number fact fluency
    • Facts and models
    • What do I know?
  • Facts and models
  • What do I know?
  • Making suitable choices
• Visualising arrays
  • What do you see?
  • Partial arrays
• What do you see?
• Partial arrays
• Building connections
  • How many possible ways?
  • Splitting arrays
• How many possible ways?
• Splitting arrays
• Making generalisations
  • Investigating patterns
  • Facts within facts
  • Divisibility patterns
• Investigating patterns
• Facts within facts
• Divisibility patterns
• Number fact fluency
  • Facts and models
  • What do I know?
• Facts and models
• What do I know?
• Making suitable choices
• Combined operations
  • Repeated operations
  • Mixing operations
• Repeated operations
• Mixing operations

Assessment

• Approaches
  • Forms of interviews
    • Good questions
    • Revealing strategies
  • Good questions
  • Revealing strategies
  • Observations
• Forms of interviews
  • Good questions
  • Revealing strategies
• Good questions
• Revealing strategies
• Observations

Activities

• Back through ten
• Equal differences
• Facts and models
• Facts within facts
• How many possible ways?
• Investigating patterns
• Parking ones and moving tens
• Partial arrays
• Renaming to add and subtract
• Splitting arrays
• The power of ten
• Up through ten
• Using tens
• What do I know?
• What do you see?

Downloads

• 1 to 100 grid
• 10 by 10 grid
• Adding Tens video transcript
• Array Flash video transcript
• Back through Tens video transcript
• Blank multiplication fact grid
• Complete the array slide presentation
• Differences video transcript
• Different Divisions video transcript
• Distributive property slide presentation
• Doubles slide presentation
• Empty number line slide presentation
• Equal additions video transcript
• Facts and Models video transcript
• Facts within facts slide presentation
• Five times slide presentation
• How many cubes? slide presentation
• How many marbles? slide presentation
• Hundreds board counting slide presentation
• Jumping Strategies video transcript
• Masked Collections video transcript
• Multiplication fact grid
• Multiplying by zero slide presentation
• Nine-times slide presentation
• Noticing patterns slide presentation
• Possible arrays slide presentation
• Renaming Tens with Addition video transcript
• Renaming Tens with Subtraction video transcript
• Splitting arrays slide presentation
• Splitting Arrays video transcript
• Splitting Strategies video transcript
• Tens Frame Parking video transcript
• Types of combined operations problems
• Up Through Tens video transcript
• Using Tens Frames with Fingers video transcript
• Visualising an array slide presentation
• What Do I Know? game instructions slide presentation
• What Do I Know? video transcript
• What do you see? slide presentation

Acknowledgements