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## Geometry

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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