# Stage 3 – Unit 7

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

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 opportunities to:

• determine products and factors
• 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.

### Syllabus outcomes and content groups

#### Represents numbers A – MAO-WM-01, MA3-RN-01

• Whole numbers: Recognise, represent and order numbers in the millions
• Whole numbers: Apply place value to partition, regroup and rename numbers to 1 billion

#### Multiplicative relations A – MAO-WM-01, MA3-MR-01, MA3-MR-02

• 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

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

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