Stage 1, mathematics, Year A – Unit 15
This two-week unit develops student’s knowledge, understanding and skills of rational numbers and fractions.
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 unit, 'A fraction (like one half) can mean half of a measure or half of a collection', students are provided opportunities to:
- explore that a fraction, such as one half, can mean half of a collection, half of an object or half of a measure
- understand that a fraction is a number
- investigate that when a whole is cut or partitioned into equal parts, the number of parts increases but the size of each part is smaller (decreases)
- develop an understanding that a fraction which describes two equal partitions of a whole, and four equal partitions of a whole, have a name, half and quarter
- demonstrate that there is more than one way to create a half of a collection, an object or a measure
- recognise that not all partitions of a whole will result in equal shares, but instead have leftovers or a remainder which sometimes can be partitioned further
- apply knowledge of equal partitioning to solve problems with remainders.
Representing whole numbers A – MAO-WM-01, MA1-RWN-01, MA1-RWN-02
- Use counting sequences of ones with two-digit numbers and beyond
- Continue and create number patterns
- Represent numbers on a line
- Represent the structure of groups of ten in whole numbers
Representing whole numbers B – MAO-WM-01, MA1-RWN-01, MA1-RWN-02
Use counting sequences of ones and tens flexibly
Combining and separating quantities A – MAO-WM-01, MA1-CSQ-01
Recognise and recall number bonds up to ten
Forming groups A – MAO-WM-01, MA1-FG-01
Recognise and represent division
Forming groups B – MAO-WM-01, MA1-FG-01
Model doubling and halving with fractions
Geometric measure A – MAO-WM-01, MA1-GM-01, MA1-GM-02, MA1-GM-03
- Length: Compare lengths using uniform informal units
- Lengths: Subdivide lengths to find halves and quarters
Geometric measure B – MAO-WM-01, MA1-GM-01, MA1-GM-02, MA1-GM-03
- Length: Recognise and use formal units to measure the lengths of objects
- Lengths: Repeatedly halve lengths to form eighths