# Stage 3, mathematics, Year B – Unit 31

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 and order numbers in the millions
• make connections between benchmark fractions, decimals and percentages
• develop flexible methods of computation in multiplication and division.

### Syllabus outcomes and content groups

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:

• Mathematics (2022)
• Multiplicative relations
• Represents numbers
• Stage 3
• Unit