321 Mathematics

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321 Mathematics

Strategies

Fact Patterns

Free facts

Doubling

Square numbers

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

Bridging from known facts

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

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

Number properties, a+0=a

0 facts, 1 facts, 10 facts

Knowledge

Basic facts

Help from home

Pedagogy

Context

NPDP

Number Framework

NZC

Addition / Subtraction

Advanced additive part-whole AA

Early additive part whole EA

Counting

Counting on AC L1

Counting from one (imaging) CA

Counting from one (materials) CA

One to one CA

Emergent E

Division

Quotition (repeated subtraction)

Partition (sharing)

Multiplication

Advanced proportional part-whole AP

Advanced multiplicative part-whole AM

Inverse operations

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

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

Commutativity - a × b = b × a

Start, result and change unknown

Arrays

vertical by horizontal axes.

Skip counting

Language

Number patterns

Doubles

Dealing