# Multi-age 3–6, mathematics, Year B – Unit 07

This 2-week unit develops the big idea that multiplicative thinking involves flexible use of multiplication and division concepts, strategies and representations.

## 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:

• identify, describe and apply multiplicative patterns
• develop, consolidate and apply derived strategies for multiplication facts
• learn and apply a range of concepts, strategies and representations for multiplication and division.

## Syllabus outcomes and content groups

### Stage 2

Represents numbers using place value B – MAO-WM-01, MA2-RN-01

• 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

Multiplicative relations A – MAO-WM-01, MA2-MR-01

Represent and solve problems involving multiplication fact families

Multiplicative relations B – MAO-WM-01, MA2-MR-01, MA2-MR-02

• Investigate number sequences involving related multiples
• Use known number facts and strategies
• Use the structure of the area model to represent multiplication and division
• Use number properties to find related multiplication facts
• Operate with multiples of 10
• Represent and solve word problems with number sentences involving multiplication or division

### Stage 3

Represents number A – MAO-WM-01, MA3-RN-01

Whole numbers: Apply place value to partition, regroup and rename numbers to 1 billion

Additive relations A – MAO-WM-01, MA3-AR-01

Apply efficient mental and written strategies to solve addition and subtraction problems

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

• Use partitioning and place value to multiply 2-, 3- and 4-digit numbers by one-digit numbers
• Represent and solve division problems with whole number remainders
• Use estimation and rounding to check the reasonableness of answers to calculations

Multiplicative relations B – MAO-WM-01, MA3-MR-01, MA3-MR-02

• 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
• Explore the use of brackets and the order of operations to write number sentences

Category:

• 3-6