3–6 multi-age, Year B – Unit 11
This 2-week, Year B unit develops the big idea that the number system extends infinitely to very large and very small numbers.
Students are provided opportunities to:
- recognise, represent, order and partition large numbers
- apply place value knowledge to recognise, name and order decimals
- make connections between benchmark fractions, decimals (Stage 2 and 3) and percentages (Stage 3)
- develop flexible methods of computation in multiplication and division.
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.
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, MA2-RN-02
- 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
- Decimals: Extend the application of the place value system from whole numbers to tenths and hundredths
- Decimals: Make connections between fractions and decimal notation
Multiplicative relations – BMAO-WM-01, MA2-MR-01
- Investigate number sequences involving related multiples
- Use known number facts and strategies
- Operate with multiples of 10
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-03
Decimals and percentages: Make connections between benchmark fractions, decimals and percentages
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
Multiplicative relations B – MAO-WM-01, MA3-MR-01
- 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