# NA2-1: Use simple additive strategies with whole numbers and fractions.

This means students will learn to treat whole numbers as units of ones that can be split and recombined to make calculations easier. Additive strategies are about a type of thinking not the operation of addition. So additive strategies can be applied to addition (for example, 47 + 38 is 50 + 40 – 5), subtraction (for example, 74 – 8 = as 74 – 4 – 4 = ), multiplication (for example, 4 x 4 = as 4 + 4 + 4 + 4 = , which is 8 + 8 = ), division (for example, 18 ÷ 3 = , as 5 + 5 + 5 = 15 so 6 + 6 + 6 = 18). Additive strategies may also be applied to finding fractions of sets particularly halves, thirds, quarters, fifths, eighths and tenths. Level Two corresponds to students being proficient at the Early Additive stage of the number framework.

Students will be able to relate the features of the calendar to their number knowledge.

Students will be able to demonstrate how grouping is efficient way to organise their thinking and operating with larger numbers.

add compatible numbers

use number lines to show mental strategies for addition and subtraction problems

Solve addition and subtraction problems by going through tens.

Solve addition and subtraction problems by using place value partitioning.

Change start-unknown problems to change-unknown problems.

Solve addition and subtraction problems by compensating with tidy numbers.

know number of tens in numbers up to 100

use mental strategies to add numbers

add single digit numbers

Find unit fractions of sets using addition facts.

solve addition problems using number lines

- Students will be able to model the answer to division problems by equal sharing as a set of equal groups and a whole number remainder.
- Students will be able to express a division problem as an equation and explain what each number in the equation represents in relation to their model.

- Solve multiplication problems by using skip counting or additive strategies.
- Interpret and solve multiplication story problems.

- Exploring addition and subtraction using compatible numbers.
- Explaining, showing and writing mathematical ideas.

- Exploring addition and subtraction using partitioning.
- Explaining, showing and writing mathematical ideas.

- Exploring addition and subtraction using partitioning.
- Using place value knowledge of tens and ones to solve problems.
- Explaining, showing and writing mathematical ideas.

use additive strategies (back through ten) to solve subtraction problems

solve problems using additive strategies

use compatible numbers to 10 to solve addition problems

Solve division problems by sharing.

Students will:

- add and subtract whole numbers.

Students should discover that:

- to win, the sum of the squares they land on must be greater than or equal to zero.

estimate the sum or difference between numbers.