# Stage 3 – Unit 27

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:

• identify, describe and apply multiplicative patterns
• learn and apply a range of concepts, strategies and representations for multiplication and division
• share their reasoning for applying multiplicative strategies in particular situations.

### Syllabus outcomes and content groups

#### Represents numbers 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

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