Multi-age 3–6, mathematics, Year B – Unit 20
This unit develops the big idea that our number system extends infinitely to very large and very small numbers.
Syllabus
Syllabus outcomes and content descriptors 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.
In this 2-week unit, students are provided opportunities to:
- extend the place value system to tenths and hundredths and make connections between fractions and decimal notation (Stage 2)
- select strategies flexibly to solve addition, subtraction, multiplication and division problems, including money and budgeting (Stage 2)
- create and interpret grid maps and locate positions on grid maps (Stage 2)
- determine benchmark percentage discounts (Stage 3)
- connect decimals, percentages and fractions (Stage 3)
- explore the use of brackets and the order of operations. (Stage 3).
Syllabus outcomes and content groups
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
- Decimals: Extend the application of the place value system from whole numbers to tenths and hundredths
- Decimals: Make connections between fractions and decimal notation
Additive relations A – MAO-WM-01, MA2-AR-01
- Use the principle of equality
- Select strategies flexibly to solve addition and subtraction problems of up to 3 digits
Additive relations B – MAO-WM-01, MA2-AR-01
- Partition, rearrange and regroup numbers to at least 1000 to solve additive problems
- Apply addition and subtraction to familiar contexts, including money and budgeting
Mulitplicative relations B – MAO-WM-01, MA2-MR-01, MA2-MR-02
- Operate with multiples of 10
- Represent and solve word problems with number sentences involving multiplication or division
Geometric measure A – MAO-WM-01, MA2-GM-01
Position: Locate positions on grid maps
Geometric measure B – MAO-WM-01, MA2-GM-01
Position: Create and interpret grid maps
Represents numbers A – MAO-WM-01, MA3-RN-01, MA3-RN-02
Decimals and percentages: Compare, order and represent decimals
Represents numbers B – MAO-WM-01, MA3-RN-01, MA3-RN-02, MA3-RN-03
- Whole numbers: Locate and represent integers on a number line
- Decimals and percentages: Make connections between benchmark fractions, decimals and percentages
- Decimals and percentages: Determine percentage discounts of 10%, 25% and 50%
Additive relations B – MAO-WM-01, MA3-AR-01
- Choose and use efficient strategies to solve addition and subtraction problems
- Applies known strategies to add and subtract decimals
Multiplicative relations B – MAO-WM-01, MA3-MR-01, MA3-MR-02
- Multiply and divide decimals by powers of 10
- Explore the use of brackets and the order of operations to write number sentences
Geometric measure A – MAO-WM-01, MA3-GM-01
Position: Explore the Cartesian coordinate system