# Mathematics – 3–6 – Multi-age – Year B – Unit 1

This unit develops the big idea that our number system extends infinitely to very large and very small numbers.

Mathematics K–10 Syllabus © 2023 NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales.

Students are provided with opportunities to:

• partition, represent and order larger numbers
• apply place value to recognise, regroup and order whole and decimal numbers
• explore the link between multiplicative structures and place value to solve problems.

## Syllabus focus and content group

### Stage 2

##### Representing numbers using place value A – MAO-WM-01, MA2-RN-01
• Whole numbers: Read, represent and order numbers to thousands
• Whole numbers: Apply place value to partition and regroup numbers up to 4 digits
##### Representing numbers using place value B – MAO-WM-01, MA2-RN-01, MA2-RN-02
• Whole numbers: Order numbers in the thousands
• Whole numbers: Apply place value to partition, regroup and rename numbers up to 6 digits
• Whole numbers: Whole numbers: Recognise and represent numbers that are 10, 100 or 1000 times as large
• Decimals: Extend the application of the place value system from whole numbers to tenths and hundredths
##### Multiplicative relations A – MAO-WM-01, MA2-MR-01
• Generate and describe patterns
• Use arrays to establish multiplication facts from multiples of 2 and 4, 5 and 10
• Recall multiplication facts of 2 and 4, 5 and 10 and related division facts
##### Multiplicative relations B – MAO-WM-01, MA2-MR-01
• Investigate number sequences involving related multiples
• Use known number facts and strategies
• Operate with multiples of 10

### Stage 3

##### Represents numbers A – MAO-WM-01, MA3-RN-02
• Whole numbers: Recognise, represent and order numbers in the millions
• Whole numbers: Apply place value to partition, regroup and rename numbers to 1 billion
• Decimals and percentages: Recognise that the place value system can be extended beyond hundredths
• Decimals and percentages: Compare, order and represent decimals
##### Multiplicative relations A – MAO-WM-01, MA3-MR-01, MA3-RN-02
• Use partitioning and place value to multiply 2-, 3- and 4-digit numbers by one-digit numbers
• Select and apply mental and written strategies to multiply 2- and 3-digit numbers by 2-digit numbers
##### Multiplicative relations B – MAO-WM-01, MA3-MR-01

Represent and describe number patterns formed by multiples