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

This 2-week, Year A unit develops the big idea that our 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:

• partition, rename, represent and order numbers up to 6 digits (Stage 2) or up to and including billions (Stage 3)
• interpret, compare, order and represent decimals up to thousandths (Stage 3)
• use partitioning and place value knowledge when multiplying and dividing
• see the inverse relationship between multiplication and division, using the associative and distributive properties of multiplication (Stage 2)
• use informal written strategies like the area model for multiplication and division problems and represent and solve division problems involving whole number remainders (Stage 3).

## 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

• Whole numbers: Order numbers in the thousands
• Whole numbers: Recognise and represent numbers that are 10, 100 or 1000 times as large

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
• Represent and solve problems involving multiplication fact families

### 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-01

Whole numbers: Locate and represent integers on a number line

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
• Select and apply mental and written strategies to multiply 2- and 3-digit numbers by 2-digit numbers
• Represent and solve division problems with whole number remainders
• Select and apply strategies to divide a number with 3 or more digits by a one-digit divisor
• Use estimation and rounding to check the reasonableness of answers to calculations

## Resource

Category:

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