Fact Families (Addition and Subtraction) - Progression Points

Dimension

Level

Progression Point

Number

1.0 Standard

... Students use materials to model addition and subtraction by the aggregation (grouping together) and disaggregation (moving apart) of objects.

They add and subtract by counting forward and backward using the numbers from 0 to 20.

1.25

• Calculation of the next number when asked to add 1 or 2 to any natural number from 0 to 10
• Drawing of diagrams to show subtraction activities

1.5

• Counting by 2s, 5s and 10s from 0 to a given target
• Addition and subtraction of two-digit multiplies of ten by counting on and counting back
• Use of the number properties (commutative and associative) of addition in mental computation, and recognition of complements to ten; for example, 3 + 4 + 7 + 6 = 3 + 7 + 4 + 6 = 10 + 10 = 20

1.75

• Development and use of a ‘fact family’ linking 25 + 5 = 30 to 5 + 25 = 30, 30 – 5 = 25 and 30 – 25 = 5
• Addition and subtraction of numbers less than 10 through recall and use of number facts

2.0 Standard

... Students skip count by 2s, 4s and 5s starting from any natural number.

They add and subtract one and two digit numbers by counting on and counting back.

They mentally compute simple addition and subtraction calculations involving one or two digit natural numbers, using number facts such as complement of 10, doubles or near doubles.

2.5

• Use of strategies such as ‘near doubles’, ‘adding 9’ and ‘build to next 10’ to solve addition and subtraction problems
• Use of written methods for whole number problems of addition and subtraction involving numbers up to 99