Multi-age 3–6, mathematics, Year B – Unit 16
This 2-week, Year B unit develops the big idea that fractions represent multiple ideas and can be represented in different ways.
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:
- explore equivalence and multiplicative relationships of fractions (Stage 2)
- represent fractional quantities equal to and greater than one on a number line (Stage 2)
- make connections between fractions and decimal notation (Stage 2)
- make connections between benchmark fractions, decimals and percentages (Stage 3)
- compare common fractions with related denominators (Stage 3)
- solve problems involving addition and subtraction of fractions with related denominators (Stage 3).
Syllabus outcomes and content groups
Representing numbers using place value B – MAO-WM-01, MA2-RN-02
- 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 A – MAO-WM-01, MA2-MR-01
Generate and describe patterns
Multiplicative relations B – MAO-WM-01, MA2-MR-01
Investigate number sequences involving related multiples
Partitioned fractions A – MAO-WM-01, MA2-PF-01
Model and represent unit fractions, and their multiples, to complete a whole on a number line
Partitioned fractions B – MAO-WM-01, MA2-PF-01
- Model equivalent fractions as lengths
- Represent fractional quantities equal to and greater than one
Representing number B – MAO-WM-01, MA3-RN-03
Make connections between benchmark fractions, decimals and percentages
Representing quantity fractions A – MAO-WM-01, MA3-RQF-01, MA3-RQF-02
- Recognise the role of the number 1 as representing the whole
- Solve problems involving addition and subtraction of fractions with the same denominator
Representing quantity fractions B – MAO-WM-01, MA3-RQF-01, MA3-RQF-02
- Compare common fractions with related denominators
- Build up to the whole from a given fractional part
- Use equivalence to add and subtract fractional quantities
- Find fractional quantities of whole numbers (halves, quarters, fifths and tenths)
Chance B – MAO-WM-01, MA3-CHAN-01
Create random generators and describe probabilities using fractions