# Multi-age 3–6, mathematics, Year B – Unit 11

This 2-week, Year B unit develops the big idea that the number system extends infinitely to very large and very small numbers.

## Syllabus

Syllabus outcomes from Mathematics K–10 Syllabus (2022) © NSW Education Standards Authority (NESA) for and on behalf of the Crown in right of the State of New South Wales, 2024.

Students are provided opportunities to:

• recognise, represent, order and partition large numbers
• apply place value knowledge to recognise, name and order decimals
• make connections between benchmark fractions, decimals (Stage 2 and 3) and percentages (Stage 3)
• develop flexible methods of computation in multiplication and division.

## Syllabus focus and content groups

### 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: Apply place value to partition, regroup and rename numbers up to 6 digits
• 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
• Decimals: Make connections between fractions and decimal notation

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-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

Represents numbers B – MAO-WM-01, MA3-RN-03

Decimals and percentages: Make connections between benchmark fractions, decimals and percentages

Multiplicative relations A – MAO-WM-01, MA3-MR-01

• Determine products and factors
• Use partitioning and place value to multiply 2-, 3- and 4-digit numbers by one-digit numbers

Multiplicative relations B – MAO-WM-01, MA3-MR-01

• Select and apply strategies to solve problems involving multiplication and division with whole numbers
• Multiply and divide decimals by powers of 10
• Use equivalent number sentences involving multiplication and division to find unknown quantities
• Represent and describe number patterns formed by multiples

## Resource

Category:

• 3-6
• Mathematics (2022)
• Multiplicative relations
• Represents numbers
• Represents numbers using place value
• Unit