Multi-age 3–6, mathematics, Year A – Unit 16
This 2-week, Year A 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:
- create fractional and complementary parts of a length (Stage 2)
- model and represent unit fractions, and their multiples, to a complete whole on a number line (Stage 2)
- explore equivalence and multiplicative relationships of fractions (Stage 2)
- represent fractions using number lines, bar models, area models and discrete models (Stage 3)
- make connections between fractions, decimals, and percentages (Stage 3)
- apply efficient mental and written strategies to solve addition and subtraction problems (Stage 3).
Syllabus outcomes and content groups
Multiplicative relations A – MAO-WM-01, MA2-MR-01
Generate and describe patterns
Partitioned fractions A – MAO-WM-01, MA2-PF-01
- Create fractional parts of a length using techniques other than repeated halving
- 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
Represents numbers B – MAO-WM-01, MA3-RN-03
- 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
Representing quantity fractions A – MAO-WM-01, MA3-RQF-01, MA3-RQF-01
- Recognise the role of the number 1 as representing the whole
- Compare and order common unit fractions
- Solve problems involving addition and subtraction of fractions with the same denominator
Representing quantity fractions B – MAO-WM-01, MA3-RQF-01, MA3-RQF-01
Compare common fractions with related denominators