Building confidence moving from number to algebra
We believe that all students can access algebraic notation and manipulation through a deep and connected understanding of number.
Connecting number to algebra through:
familiar number structure models and manipulatives:
- array models -> area models -> grid method
- Dienes’ blocks -> algebra tiles
- number lines -> graphs
generalising the structure of number:
- Dienes’ blocks -> base blocks -> algebra tiles
generalising operating on number to algebraic manipulation:
- 3 x 13 -> 3(10 + 3) -> 3(𝑥 + 3)
- 12 x 14 -> (10 + 2)(10 + 4) -> (𝑥 + 2)(𝑥 + 4)
the use of consistent representations in symbols and pictures.