Number Sense Foundations

Develop strong mathematical understanding through place value, number relationships and flexible thinking strategies.


Big Ideas

  • Numbers represent quantity and value
  • Place value changes the meaning of digits
  • Numbers can be represented in multiple ways
  • Flexible thinking supports problem solving

Common Misconceptions

Students read digits separately rather than by place value

Students think larger numbers always mean larger digits

Students rely on memorisation rather than understanding

Students struggle connecting concrete materials to abstract numbers

Teaching Strategies

Use manipulatives

Base ten blocks, counters and number lines

Think aloud modelling

Verbalise mathematical thinking

Multiple representations

Pictures, symbols and words

Classroom Activities

Mystery Number Challenge

Build and Compare Numbers

Place Value Relay

True or False Number Talks


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