**Numbers**

**australian national curriculum learning map**

- Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point
- Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond
- Subitise small collections of objects
- Represent practical situations to model addition and sharing
- Compare, order and make correspondences between collections, initially to 20, and explain reasoning
- Develop confidence with number sequences to and from 100 by ones from any starting point.
- Skip count by twos, fives and tens starting from zero
- Recognise, model, read, write and order numbers to at least 100.
- Locate these numbers on a number line
- Count collections to 100 by partitioning numbers using place value
- Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
- Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences.
- Recognise, model, represent and order numbers to at least 1000
- Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
- Explore the connection between addition and subtraction
- Solve simple addition and subtraction problems using a range of efficient mental and written strategies
- Recognise and represent multiplication as repeated addition, groups and arrays
- Recognise and represent division as grouping into equal sets and solve simple problems using these representations
- Investigate the conditions required for a number to be odd or even and identify odd and even numbers
- Recognise, model, represent and order numbers to at least 10 000
- Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems
- Recognise and explain the connection between addition and subtraction
- Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
- Recall multiplication facts of two, three, five and ten and related division facts
- Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
- Recall multiplication facts up to 10 _ 10 and related division facts
- Investigate and use the properties of odd and even numbers
- Recognise, represent and order numbers to at least tens of thousands Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
- Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
- Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
- Identify and describe factors and multiples of whole numbers and use them to solve problems
- Use estimation and rounding to check the reasonableness of answers to calculations
- Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
- Solve problems involving division by a one digit number, including those that result in a remainder
- Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
- Identify and describe properties of prime, composite, square and triangular numbers
- Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
- Investigate everyday situations that use integers. Locate and represent these numbers on a number line
- Investigate index notation and represent whole numbers as products of powers of prime numbers
- Investigate and use square roots of perfect square numbers
- Apply the associative, commutative and distributive laws to aid mental and written computation
- Compare, order, add and subtract integers
- Use index notation with numbers to establish the index laws with positive integral indices and the zero index
- Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies