# Multi-age 3–6, mathematics, Year A – 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:

- represent and partition numbers using place value (Stage 2)
- recognise that negative whole numbers can result from subtraction (Stage 3)
- make connections between benchmark fractions, decimals and percentages (Stage 3)
- create a simple map and mark locations
- select strategies to efficiently solve problems in addition, subtraction, multiplication and division.

## Syllabus outcomes and content groups

**Representing numbers using place value A – MAO-WM-01, MA2-RN-01**

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: Recognise and represent numbers that are 10, 100 or 1000 times as large

**Additive relations A – MAO-WM-01, MA2-AR-01**

- Use the principle of equality
- Recognise and explain the connection between addition and subtraction
- Select strategies flexibly to solve addition and subtraction problems of up to 3 digits
- Represent money values in multiple ways

**Additive relations B – MAO-WM-01, MA2-AR-01**

Partition, rearrange and regroup numbers to at least 1000 to solve additive problems

**Mulitplicative relations A – MAO-WM-01, MA2-MR-01, MA2-MR-02**

Recall multiplication facts of 2 and 4, 5 and 10 and related division facts

**Mulitplicative relations B – MAO-WM-01, MA2-MR-01, MA2-MR-02**

Use number properties to find related multiplication facts

**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 A – MAO-WM-01, MA3-AR-01**

- Apply efficient mental and written strategies to solve addition and subtraction problems
- Use estimation and place value understanding to determine the reasonableness of solutions

**Multiplicative relations A – MAO-WM-01, MA3-MR-01**

Select and apply mental and written strategies to multiply 2- and 3-digit numbers by 2-digit numbers

**Multiplicative relations B – MAO-WM-01, MA3-MR-01**

Use equivalent number sentences involving multiplication and division to find unknown quantities

**Geometric measure A – MAO-WM-01, MA3-GM-01**

Position: Explore the Cartesian coordinate system