321 Mathematics

Multiplication

Advanced multiplicative part-whole AM

Dealing

Skip counting

Doubles

Number patterns

Language

Arrays

vertical by horizontal axes.

Start, result and change unknown

Commutativity - a × b = b × a

Quadratic multiplcation: 27*34 = (20+4)*(30+7)

Factors: the factors of 20 are 1, 2, 4, 5, 10 and 20.

Inverse operations

Advanced proportional part-whole AP

Division

Partition (sharing)

Quotition (repeated subtraction)

Counting

Emergent E

One to one CA

Counting from one (materials) CA

Counting from one (imaging) CA

Counting on AC L1

Addition / Subtraction

Early additive part whole EA

Advanced additive part-whole AA

Pedagogy

NZC

NPDP

Number Framework

Context

Knowledge

Basic facts

Help from home

Strategies

Number properties, a+0=a

0 facts, 1 facts, 10 facts

Fact Patterns

Families of facts: 3 + 7 = 10, 10 – 7 = 3

Derived facts: 3 + 7 = 10, 13 + 7 = 20

Bridging from known facts

Square numbers

4, 9, 16, 25, 36, 49, 64, 81, 100

Doubling

Free facts