Fractions, decimals and percentages
Mathematics K–10 (2022) · Stage 4 · View this focus area on the NESA NSW Curriculum website ↗
Outcomes
MA4-FRC-C-01 represents and operates with fractions, decimals and percentages to solve problemsContent dot points
Each dot point has its own page with resources matched to it.
Compare fractions using equivalence
- Determine the highest common factor (HCF) of 2 whole numbers 6 resources · 1 interactive/game
- Examine methods of generating equivalent fractions 7 resources · 5 interactive/game
- Simplify fractions by using methods, including determining the HCF of the numerator and denominator or repeated simplification using common factors 2 resources
- Create fractions with the same denominator to compare their sizes 3 resources · 1 interactive/game
- Compare and order fractions with different denominators 3 resources · 1 interactive/game
Round decimals to a specified degree of accuracy using approximations
- Round decimals to a given number of decimal places 2 resources
- Apply the notation ≈ as a symbol of numerical approximation
- Reason why an approximation may be more appropriate than an exact answer and vice versa 1 resource · 1 interactive/game
Identify terminating and recurring decimals
- Use either dot or vinculum notation for recurring (repeating) decimals 3 resources
- Classify decimals as recurring or terminating 2 resources
Identify and make use of the relationship between fractions, decimals and percentages to carry out simple conversions
- Define rational numbers as numbers that can be written in the form a/b, where a and b are integers and b≠0
- 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 7 resources · 1 interactive/game
- Represent terminating decimals as fractions and percentages 6 resources · 1 interactive/game
- Represent improper fractions as mixed numbers and decimals, and vice versa 5 resources · 2 interactive/game
- Represent percentages as fractions and decimals 5 resources
Examine the concept of irrational numbers
- Identify and define irrational numbers as numbers that cannot be written in the form a/b where a and b are integers and b≠0 3 resources · 1 interactive/game
- Find approximations of irrational numbers using digital tools 1 resource · 1 interactive/game
- Locate the approximate position of irrational numbers on a number line
Order and compare the value of fractions, decimals and percentages
- Locate positive and negative fractions, decimals and mixed numbers on a number line to compare their relative values 2 resources · 2 interactive/game
- Compare and order fractions, mixed numbers, decimals (terminating and recurring) and percentages 2 resources
Solve problems that involve the addition and subtraction of fractions
- Represent addition and subtraction of fractions with the same or unrelated denominators 4 resources
- Solve problems involving adding and subtracting fractions and mixed numbers, including finding a common denominator 4 resources
- Solve problems that involve subtracting a fraction from a whole number, with and without the use of digital tools
Solve problems that involve the multiplication and division of fractions and decimals
- Compare and generalise the effect of multiplying or dividing by a number with magnitude between zero and one
- Represent multiplication and division of decimals 5 resources · 1 interactive/game
- Represent multiplication and division of fractions, including mixed numbers 6 resources · 1 interactive/game
- Multiply and divide decimals, using digital tools to solve problems 4 resources
- Multiply and divide fractions and mixed numbers, with and without using digital tools to solve problems 8 resources · 1 interactive/game
- Compare initial estimates with the results of calculations
- Apply knowledge of fractions and decimals of quantities to solve problems 3 resources · 1 interactive/game
- Apply knowledge of multiplication and division of fractions and decimals to solve problems
Represent one quantity as a fraction, decimal or percentage of another, with and without the use of digital tools
- Represent one quantity as a fraction, decimal or percentage of another by considering appropriate units 4 resources
- Calculate percentage increases and decreases in various contexts 7 resources · 1 interactive/game
- Examine the financial applications of percentage increase and decrease, including profit and/or loss as a percentage of cost price or selling price 3 resources
Solve problems that involve the use of percentages
- Apply knowledge of percentages to calculate quantities in various contexts 6 resources
- Apply knowledge of percentage increases and decreases to solve problems in various contexts 5 resources
- Solve real-life problems involving percentages using the unitary method or other techniques 2 resources
- Solve financial problems involving percentages, specifically considering GST, profit and loss 4 resources
Focus area resources
- Unit/PlanningSample unit – Stage 4: fractions and decimals
- Unit/PlanningStage 4 Unit 1 – making predictions (sample unit of learning)
- Unit/PlanningStage 4 Unit 12 – further multiplicative thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 15 – exploring circles (sample unit of learning)
- Unit/PlanningStage 4 Unit 3 – representing numbers (sample unit of learning)
- Unit/PlanningStage 4 Unit 4 – additive thinking (sample unit of learning)
- Unit/PlanningStage 4 Unit 5 – multiplicative thinking (sample unit of learning)
Stage 4 planning resources
Stage- or course-wide documents (scope and sequences, guides) that cover this focus area alongside others.
- Unit/PlanningSample scope and sequence: Stage 4 core (NESA no. 11)
- Unit/PlanningStage 4 – sample scope and sequence
- Unit/PlanningStage 4 – stage based – sample scope and sequence