Multi-age 3–6, mathematics, Year A – Unit 11
This 2-week, Year A unit develops the big idea that our number system extends infinitely to very large and very small numbers.
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:
- partition, rename, represent and order numbers up to 6 digits (Stage 2) or up to and including billions (Stage 3)
- interpret, compare, order and represent decimals up to thousandths (Stage 3)
- use partitioning and place value knowledge when multiplying and dividing
- see the inverse relationship between multiplication and division, using the associative and distributive properties of multiplication (Stage 2)
- use informal written strategies like the area model for multiplication and division problems and represent and solve division problems involving whole number remainders (Stage 3).
Syllabus focus and content groups
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
- Whole numbers: Order numbers in the thousands
- Whole numbers: Recognise and represent numbers that are 10, 100 or 1000 times as large
Multiplicative relations A – MAO-WM-01, MA2-MR-01
- Generate and describe patterns
- Use arrays to establish multiplication facts from multiples of 2 and 4, 5 and 10
- Recall multiplication facts of 2 and 4, 5 and 10 and related division facts
- Represent and solve problems involving multiplication fact families
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-01
Whole numbers: Locate and represent integers on a number line
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
- 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