Unit · Mathematics
Year 6 - Mathematics
12 lessons
Lessons
- Understanding Number: Integers, Place Value, Primes & Fractions Introduces positive and negative integers on a number line, multiplicative place value of decimals, square/prime/composite numbers in arrays, ordering fractions, and connecting common percentages to fractions and decimals.
- Equalities & Inequalities: Balancing the Four Operations Completing, checking and constructing statements of equality and inequality across the four operations, including brackets and the order of operations.
- Patterns & Relationships: Finding and Generalising Rules Creating and representing increasing and decreasing patterns with materials and numbers, and using words to generalise the rule linking each term to its position.
- Calculating with Number: Whole Numbers, Fractions, Decimals & Estimation Flexible and efficient strategies for the four operations with whole numbers, adding/subtracting fractions with related denominators and decimals to 2dp, multiplying decimals, finding fractions/decimals/percentages of a quantity, and estimating and rounding.
- Financial Mathematics: Savings Goals, Expenses & Interest Developing savings plans, predicting expenses, and understanding that money saved with a bank earns interest.
- Modelling with Number: Solving Real-World Problems Applying the mathematical modelling process to real-world situations involving whole numbers, order of operations and fractions: analyse, represent, solve, and interpret/communicate findings.
- 2D Space & Structures: Transformations, Units, Area, Angles & the Cartesian Plane Translations, reflections and rotations of 2D shapes; converting metric units of length, mass and capacity; area of rectangles; angle relationships; and locating points on the Cartesian plane in four quadrants.
- 3D Space & Structures: Prisms, Pyramids & Volume Visualising, sketching and constructing 3D objects including prisms and pyramids, and describing/testing a sequence of steps to determine the volume of rectangular prisms.
- Non-Spatial Measurement: Time, Timetables & Duration Using timetables and itineraries in 12- and 24-hour time to determine the duration of events and journeys.
- Modelling with Measurement & Geometry: Real-World Applications Applying the mathematical modelling process to real-world situations involving transformations, prisms/pyramids, the Cartesian plane, metric conversion, area, volume, and duration.
- Probability: The 0–1 Scale, Experiments & Simulations Ordering everyday chance events on a 0–1 scale, and conducting repeated chance experiments and simulations to compare expected and observed frequencies as the number of trials increases.
- Statistics: Interpreting Displays & Running a Data Investigation Interpreting data displays (including side-by-side column graphs) using mode, range and shape; analysing how display features influence an audience; and carrying out a full real-world data investigation.
Learning outcomes
- WA6MMGM1 In real-world situations involving transformation of two-dimensional shapes, rectangular prisms, pyramids, Cartesian planes, measuring and converting metric units for length, mass and capacity, determining volume and area in metric units or determining the duration of events and journeys, use the following process: analyse the situation and identify relevant information; mathematically represent the situation to reach a solution; interpret and communicate findings in the context, exploring and justifying decisions
- WA6MMGN1 Use timetables and itineraries in 12- and 24-hour time systems to determine the duration of events and journeys
- WA6MMGTH1 Visualise, sketch and construct three-dimensional objects, including prisms and pyramids
- WA6MMGTH2 Describe and test a sequence of steps to determine the volume of rectangular prisms based on dimensions
- WA6MMGTW1 Explore, visualise and describe translations, reflections or rotations of two-dimensional shapes
- WA6MMGTW2 Convert between units of length by connecting metric units to the decimal system and extend to units of mass and capacity
- WA6MMGTW3 Describe and test a sequence of steps to determine the area of rectangles based on dimensions
- WA6MMGTW4 Investigate angles in a right angle, on a straight line, angles at a point and vertically opposite angles, to determine unknown angles and explain reasoning
- WA6MMGTW5 Explore the Cartesian plane as the intersection of two number lines at zero, using the coordinate system to locate points in all four quadrants
- WA6MNAC1 Choose and use flexible and efficient strategies to calculate with whole numbers, involving any of the four operations, and explore the use of the order of operations
- WA6MNAC2 Add and subtract fractions with related denominators using flexible and efficient strategies based on knowledge of equivalence
- WA6MNAC3 Add and subtract decimals to two decimal places, using flexible and efficient strategies
- WA6MNAC4 Multiply decimals by whole numbers and multiply and divide decimals by powers of 10, using flexible and efficient strategies
- WA6MNAC5 Determine a familiar fraction, decimal or percentage of a whole number
- WA6MNAC6 Use estimation and rounding to make reasonable evaluations and justify results
- WA6MNAF1 Develop plans for savings goals, predict expenses and identify that saving money with a bank attracts interest
- WA6MNAM1 In real-world situations involving whole numbers, order of operations and fractions with the same denominator, use the following process: analyse the situation and identify relevant information; mathematically represent the situation, including using equations to reach a solution; interpret and communicate findings in the context, exploring and justifying decisions
- WA6MNAP1 Create and represent increasing or decreasing patterns using concrete materials and numbers. Use words to generalise rules that relate each element of a pattern to its position
- WA6MNAUE1 Complete, check and construct statements of equality and inequality involving the four operations, including the use of brackets and order of operations, and explain reasoning
- WA6MNAUN1 Investigate the use of positive and negative integers to represent everyday situations. Read, write and order integers on a number line
- WA6MNAUN2 Represent and explain the multiplicative place value relationship between places in any number, including decimals
- WA6MNAUN3 Explore, identify and represent square, prime and composite numbers in arrays and explain reasoning
- WA6MNAUN4 Order common fractions with the same and related denominators, including mixed numerals, using diagrams and number lines
- WA6MNAUN5 Connect commonly used percentages, including 10%, 25% and 50%, to fractions and decimals, including on a number line
- WA6MPSP1 Order everyday chance events and phrases on a scale from 0 to 1, where 0 represents an event that is certain not to happen (impossible) and 1 represents an event that is certain to happen
- WA6MPSP2 Conduct repeated chance experiments and simulations with equally likely or unequally likely outcomes, including with the use of digital tools, for an increasing number of trials. Compare expected and observed frequencies in terms of variation as the number of trials increase
- WA6MPSS1 Describe and interpret a range of displays for real-life numerical data, including side-by-side column graphs, using mode, range and shape
- WA6MPSS2 Describe how the features of real-life data displays may influence an audience
- WA6MPSS3 In a real-world context involving continuous and discrete numerical data, use the following process: analyse the situation to pose a question; choose the most appropriate way to collect data to ensure accuracy and consistency, and make choices to represent data, including line graphs and side-by-side column graphs; interpret and communicate findings in terms of the context and describe reasons for variation
Components
- C01-NA1 Understanding number WA Year 6 Mathematics sub-strand: Number and algebra - Understanding number.
- C02-NA2 Understanding equalities and inequalities WA Year 6 Mathematics sub-strand: Number and algebra - Understanding equalities and inequalities.
- C03-NA3 Patterns and relationships WA Year 6 Mathematics sub-strand: Number and algebra - Patterns and relationships.
- C04-NA4 Calculating with number WA Year 6 Mathematics sub-strand: Number and algebra - Calculating with number.
- C05-NA5 Financial mathematics WA Year 6 Mathematics sub-strand: Number and algebra - Financial mathematics.
- C06-NA6 Modelling with number WA Year 6 Mathematics sub-strand: Number and algebra - Modelling with number.
- C07-MG1 Two-dimensional space and structures WA Year 6 Mathematics sub-strand: Measurement and geometry - Two-dimensional space and structures.
- C08-MG2 Three-dimensional space and structures WA Year 6 Mathematics sub-strand: Measurement and geometry - Three-dimensional space and structures.
- C09-MG3 Non-spatial measurement WA Year 6 Mathematics sub-strand: Measurement and geometry - Non-spatial measurement.
- C10-MG4 Modelling with measurement and geometry WA Year 6 Mathematics sub-strand: Measurement and geometry - Modelling with measurement and geometry.
- C11-PS1 Probability WA Year 6 Mathematics sub-strand: Probability and statistics - Probability.
- C12-PS2 Statistics WA Year 6 Mathematics sub-strand: Probability and statistics - Statistics.