K–10Mathematics K–10 Syllabus
Mathematics for K−2
The new syllabus must now be taught in Kindergarten to Year 2 in all NSW primary schools.
Mathematics for 3−10
The new syllabus is to be taught in Years 3 to 10 from 2024.
2023 Plan and prepare to teach the new syllabus
2024 Start teaching the new syllabus
School sectors are responsible for implementing syllabuses and are best placed to provide schools with specific guidance and information on implementation given their understanding of their individual circumstances.
Content
Stage 4
- MAO-WM-01
develops understanding and fluency in mathematics through exploring and connecting mathematical concepts, choosing and applying mathematical techniques to solve problems, and communicating their thinking and reasoning coherently and clearly
- MA4-FRC-C-01
represents and operates with fractions, decimals and percentages to solve problems
Determine the highest common factor (HCF) of 2 whole numbers
Examine methods of generating equivalent fractions
Simplify fractions by using methods, including determining the HCF of the numerator and denominator or repeated simplification using common factors
Create fractions with the same denominator to compare their sizes
Compare and order fractions with different denominators
Round decimals to a given number of decimal places
Apply the notation ≈ as a symbol of numerical approximation
Reason why an approximation may be more appropriate than an exact answer and vice versa
Use either dot or vinculum notation for recurring (repeating) decimals
Classify decimals as recurring or terminating
Classify fractions and percentages as rational numbers
Recognise and explain that numbers with terminating or recurring decimals are rational
Represent fractions as decimals (terminating and recurring) and percentages
Represent terminating decimals as fractions and percentages
Represent improper fractions as mixed numbers and decimals, and vice versa
Represent percentages as fractions and decimals
Find approximations of irrational numbers using digital tools
Locate the approximate position of irrational numbers on a number line
Locate positive and negative fractions, decimals and mixed numbers on a number line to compare their relative values
Compare and order fractions, mixed numbers, decimals (terminating and recurring) and percentages
Represent addition and subtraction of fractions with the same or unrelated denominators
Solve problems involving adding and subtracting fractions and mixed numbers, including finding a common denominator
Solve problems that involve subtracting a fraction from a whole number, with and without the use of digital tools
Compare and generalise the effect of multiplying or dividing by a number with magnitude between zero and one
Represent multiplication and division of decimals
Represent multiplication and division of fractions, including mixed numbers
Multiply and divide decimals, using digital tools to solve problems
Multiply and divide fractions and mixed numbers, with and without using digital tools to solve problems
Compare initial estimates with the results of calculations
Apply knowledge of fractions and decimals of quantities to solve problems
Apply knowledge of multiplication and division of fractions and decimals to solve problems
Represent one quantity as a fraction, decimal or percentage of another by considering appropriate units
Calculate percentage increases and decreases in various contexts
Examine the financial applications of percentage increase and decrease, including profit and/or loss as a percentage of cost price or selling price
Apply knowledge of percentages to calculate quantities in various contexts
Apply knowledge of percentage increases and decreases to solve problems in various contexts
Solve real-life problems involving percentages using the unitary method or other techniques
Solve financial problems involving percentages, specifically considering GST, profit and loss