Year 6: Compare fractions with related denominators and locate and represent them on a number line
Year 4: Investigate equivalent fractions used in contexts
Year 1: Recognise and describe one-half as one of two equal parts of a whole
Year 2: Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
Year 4: Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
Year 6: Solve problems involving addition and subtraction of fractions with the same or related denominators
Year 5: Compare and order common unit fractions and locate and represent them on a number line
Year 6: Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
Year 5: Solve problems involving division by a one digit number, including those that result in a remainder
Year 5: Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Year 3: Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole
Year 7: Create algebraic expressions and evaluate them by substituting a given value for each variable
Year 6: Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence
Year 5: Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
Year 2: Describe patterns with numbers and identify missing elements
Year 1: Develop confidence with number sequences to and from 100 by ones from any starting point. Skip count by twos, fives and tens starting from zero
Foundation Year: Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point
Year 8: Develop the conditions for congruence of triangles
Year 5: Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
Year 2: Describe and draw two-dimensional shapes, with and without digital technologies
Year 1: Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features
Foundation Year: Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment
Year 7: Classify triangles according to their side and angle properties and describe quadrilaterals
Year 4: Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
Year 10A: (Possible extension) Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation
Year 8: Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning
Year 9: Solve problems using ratio and scale factors in similar figures
Year 5: List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Year 6: Describe probabilities using fractions, decimals and percentages
Year 7: Express one quantity as a fraction of another, with and without the use of digital technologies
Year 5: Use equivalent number sentences involving multiplication and division to find unknown quantities
Year 7: Introduce the concept of variables as a way of representing numbers using letters
Year 7: Investigate, interpret and analyse graphs from authentic data
Year 10: Solve linear simultaneous equations, using algebraic and graphical techniques including using digital technology
Year 6: Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies
Year 10: Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes
Year 10: Formulate proofs involving congruent triangles and angle properties
Year 4: Recall multiplication facts up to 10 x 10 and related division facts
Foundation year: Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond
Year 2: Explore the connection between addition and subtraction
Year 3: Recognise and explain the connection between addition and subtraction
Year 4: Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
Year 5: Connect three-dimensional objects with their nets and other two-dimensional representations
Year 6: Make connections between equivalent fractions, decimals and percentages
Year 6: Connect decimal representations to the metric system
Year 6: Connect volume and capacity and their units of measurement
Year 7: Connect fractions, decimals and percentages and carry out simple conversions
Year 6: Identify and describe properties of prime, composite, square and triangular numbers
Year 8: Develop the formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume
Year 2: Recognise and represent multiplication as repeated addition, groups and arrays
Year 3: Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
Year 4: Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
Year 9: Use the enlargement transformation to explain similarity and develop the conditions for triangles to be similar
Year 9: Investigate very small and very large time scales and intervals
Year 6: Convert between common metric units of length, mass and capacity
Year 3: Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording
Year 4: Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values
Year 5: Describe and interpret different data sets in context
Year 5: Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Year 7: Identify and investigate issues involving numerical data collected from primary and secondary sources
Year 1: Investigate and describe number patterns formed by skip counting and patterns with objects
Year 2: Recognise and represent division as grouping into equal sets and solve simple problems using these representations
Year 3: Investigate the conditions required for a number to be odd or even and identify odd and even numbers
Year 3: Recall multiplication facts of two, three, five and ten and related division facts
Year 3: Identify symmetry in the environment
Year 3: Collect data, organise into categories and create displays using lists, tables, picture graphs and simple column graphs, with and without the use of digital technologies
Year 2: Identify and describe half and quarter turns
Foundation Year: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings
Year 2: Investigate numbers sentences, initially those increasing and decreasing by twos, threes, fives and ten from any starting point, then moving to other sequences
Year 3: Describe, continue and create number patterns resulting from performing addition or subtraction
Year 2: Solve problems by using number sentences for addition and subtraction
Foundation Year: Compare and order the duration of events using the everyday language of time
Foundation Year: Connect days of the week to familiar events and actions
Year 1: Describe duration using months, weeks, days and hours
Year 2: Identify a question of interest based on one categorical variable. Gather data relevant to the question
Year 1: Investigate and describe number patterns formed by skip counting and patterns with objects
Year 4: Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
Foundation: Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings
Year 10: Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
Year 10: Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
Year 4: Create symmetrical patterns, pictures and shapes with and without digital technologies
Year 7: Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries
Year 3: Conduct chance experiments, identify and describe possible outcomes and recognise variation in results
Year 6: Compare observed frequencies across experiments with expected frequencies
Year 9: Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread
Year 8: Explore the variation of means and proportions of random samples drawn from the same population
Year 10: Construct and interpret box plots and use them to compare data sets
Year 10: Use scatter plots to investigate and comment on relationships between two numerical variables
Year 6: Interpret secondary data presented in digital media and elsewhere
Year 8: Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes
Year 8: Investigate techniques for collecting data, including census, sampling and observation
Year 8: Investigate the effect of individual data values, including outliers, on the mean and median
Year 8: Pose questions and collect categorical or numerical data by observation or survey
Year 6: Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables
Year 9: Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources (ACMSP228)
Year 10: Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data
Year 9: Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians
Year 4: Select and trial methods for data collection, including survey questions and recording sheets
Year 5: Pose questions and collect categorical or numerical data by observation or survey
Year 4: Evaluate the effectiveness of different displays in illustrating data features including variability
Year 7: Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data
Year 7: Describe and interpret data displays using median, mean and range
Year 10: Compare shapes of box plots to corresponding histograms and dot plots
Year 3: Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
Year 6: Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
Year 2: Solve simple addition and subtraction problems using a range of efficient mental and written strategies
Year 3: Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems
Year 4: Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
Year 4: Explore and describe number patterns resulting from performing multiplication
Year 4: Compare angles and classify them as equal to, greater than or less than a right angle
Year 8: Define congruence of plane shapes using transformations
Year 10: Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies
Year 10: Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate
Year 4: Create symmetrical patterns, pictures and shapes with and without digital technologies
Year 7: Describe translations, reflections in an axis, and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries
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