3–6 multi-age, Year B – 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:

  • 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

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

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


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