Australia · ACARA Content Descriptions
Year 5 Mathematics
This course deepens student understanding of the decimal number system, geometric properties, and data interpretation. Students engage in rigorous problem solving to connect mathematical concepts to real world applications and logical reasoning.
01The Power of Place: Large Numbers and Decimals
Students investigate the base ten system to understand how place value extends to millions and thousandths.
Exploring place value beyond hundreds of thousands and how the position of a digit changes its magnitude by powers of ten.
Practicing reading and writing numbers up to millions, including using commas and spaces correctly.
Developing strategies to compare and order numbers up to millions using place value.
Connecting fractions to decimals and understanding the significance of the thousandths place.
Extending decimal understanding to the thousandths place and comparing decimal values.
Learning to round decimals to a specified number of decimal places or to the nearest whole number.
Developing strategies for adding and subtracting decimals with varying numbers of decimal places.
Exploring strategies for multiplying decimals by whole numbers using models and repeated addition.
02Operational Strategies and Algebraic Thinking
Focusing on efficient mental and written strategies for the four operations and identifying number patterns.
Practicing estimation of sums and differences of large numbers and decimals to check the reasonableness of answers.
Developing fluency with multi-digit multiplication using various strategies like area models and standard algorithm.
Extending multiplication skills to include 3-digit by 2-digit numbers.
Developing fluency with division with remainders and interpreting their meaning in context.
Exploring and applying divisibility rules for 2, 3, 4, 5, 6, 9, and 10.
Identifying prime and composite numbers and understanding their unique properties.
Identifying and visualizing square and triangular numbers.
Describing and continuing patterns using additive rules.
03Parts of the Whole: Fractions and Percentages
Deepening the understanding of equivalent fractions, mixed numbers, and the concept of percentages.
Creating and completing input-output tables based on given rules, and identifying rules from completed tables.
Understanding and generating equivalent fractions using multiplication and division.
Learning to simplify fractions to their simplest form using common factors.
Comparing and ordering fractions with different denominators using common multiples.
Converting improper fractions to mixed numbers and understanding their relationship.
Converting mixed numbers to improper fractions and applying this in problem-solving.
Performing addition and subtraction of fractions with the same denominator.
Developing strategies for adding and subtracting fractions with different denominators.
04Measuring the World: Shapes and Space
Calculating perimeter and area, and exploring the properties of 2D shapes and 3D objects.
Solving multi-step word problems involving addition, subtraction, multiplication, and division of fractions in real-world contexts.
Using efficient strategies to calculate the boundary of rectangles and simple composite shapes.
Calculating the surface area of rectangles using square units.
Solving real-world problems involving both area and perimeter, including comparing shapes.
Measuring and constructing angles using a protractor and identifying angle types.
Identifying and constructing parallel and perpendicular lines and understanding their properties.
Classifying triangles (e.g., equilateral, isosceles, scalene, right-angled) and quadrilaterals (e.g., square, rectangle, rhombus, trapezium) based on their properties.
Exploring reflections and translations of 2D shapes on a Cartesian plane.
05Data Detectives: Statistics and Probability
Collecting, representing, and interpreting data while assessing the likelihood of events.
Identifying properties of 3D objects and constructing their nets.
Designing surveys with appropriate questions to collect relevant data.
Using line graphs to represent data and show trends over time.
Creating and interpreting column graphs and pictographs.
Finding the mode and median of data sets and understanding their significance.
Calculating the mean (average) of data sets and understanding its use as a measure of central tendency.
Using collected data to make logical predictions about future events or trends.
Describing probabilities using everyday language (e.g., impossible, likely, certain).
06The Value of Math: Money and Time
Applying mathematical concepts to financial literacy and complex time calculations.
Creating simple budgets for personal or household expenses.
Practicing calculating change from purchases and making decisions about spending money.
Using mathematical strategies to compare value for money between different products.
Introducing the concept of simple interest and how it applies to savings and loans.
Interpreting 24-hour clocks and transport schedules.
Calculating durations of time across different units (minutes, hours, days).
Interpreting calendars to calculate durations, plan events, and understand dates.
Exploring how different professions use the Year 5 math curriculum in daily tasks.