Respond to objects being counted and distributed (ACMNA001a)

Respond to situations where counting is involved (ACMNA002a)

Respond to groups of personally relevant objects (ACMNA003a)

Respond to situations where the comparison of two collections or objects are involved (ACMNA289a)

Respond to the removal and addition of familiar items and objects in practical situations (ACMNA004a)

Respond to the identification of objects (ACMNA005a)

Respond to objects based on length (ACMMG006a)

Respond to personally relevant everyday events (ACMMG007a)

Respond to personally relevant routine events (ACMMG008a)

Respond to familiar everyday shapes and objects (ACMMG009a)

Respond to movement of an object (ACMMG010a)

Respond to objects relevant to a given context (ACMSP011a)

Use number names ‘one’, ‘two’ and ‘three’ in sequence to count in everyday situations (ACMNA001b)

Correspond ‘one’ with a single object (ACMNA002b)

Explore the concept of ‘none’, ‘one’ and ‘more’ (ACMNA003b)

Make comparison between items using appropriate language such as ‘same’ or ‘different’ (ACMNA289b)

Participate in everyday situations involving ‘adding’ and ‘taking away’ (ACMNA004b)

Participate in the comparing of objects, using language such as ‘same’ and ‘different’ (ACMNA005b)

Compare objects using direct comparison (ACMMG006b)

Recognise and participate in familiar events that happen on a daily basis (ACMMG007b)

Participate in regular daily events (ACMMG008b)

Identify when two shapes or objects are the same sort or not (ACMMG009b)

Respond to a simple statement about location or direction (ACMMG010b)

Participate in data collection (ACMSP011b)

Use number names in sequence to count in everyday situations, initially from one to five (ACMNA001c)

Know and match number name, numerals and quantities to three (ACMNA002c)

Identify groups as being ‘one’, ‘more’ or ‘less’ (ACMNA003c)

Compare and order two collections according to their quantity (ACMNA289c)

Demonstrate in practical situations, ‘adding one more to’ and ‘taking one away from’ in everyday situations (ACMNA004c)

Pair identical objects from a small collection. Recognise simple repeated patterns (ACMNA005c)

Compare two objects based on measurement attributes of length (ACMMG006c)

Identify familiar events that occur at different stages of a day (morning, afternoon, evening, night) (ACMMG007c)

Identify the familiar events within the day using a visual schedule (ACMMG008c)

Match familiar two dimensional shapes and three dimensional objects (ACMMG009c)

Locate familiar three-dimensional objects in the classroom when they are named (ACMMG010c)

Identify data relevant to a given context (ACMSP011c)

Use a number names in sequence to count in everyday situations, initially from one to ten (ACMNA001d)

Recognise number name, numerals and quantities, initially up to five and beyond (ACMNA002d)

Subitise regular arrangements of objects and arrays up to five (ACMNA003d)

Compare, order and make comparisons between two collections, according to their quantity, using numbers initially to five (ACMNA289d)

Model practical situations involving ‘adding to’ or ‘taking away’  with collections of up to five objects (ACMNA004d)

Sort like objects based on a given classification. Identify and continue a simple repeated pattern with its next element (ACMNA005d)

Respond to contexts involving ‘heavier/lighter’ than and ‘holds more/less’ than (ACMMG006d)

Identify and sequence regular events that occur during the school day and comment on their duration (short/long) (ACMMG007d)

Identify the days of the week in sequence (ACMMG008d)

Use direct comparison to sort three dimensional objects and two dimensional shapes (ACMMG009d)

Follow simple directional words, to locate or move an object ‘on’, ‘in’ or ‘under’ (ACMMG010d)

Answer simple yes/no questions about data that has been gathered in a given context (ACMSP011d)

Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from  any starting point (ACMNA001)

Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond (ACMNA002)

Subitise small collections of objects (ACMNA003)

Compare, order and make correspondences between collections, initially to 20, and explain reasoning (ACMNA289)

Represent practical situations to model addition and sharing (ACMNA004)

Sort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings (ACMNA005)

Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explain reasoning in everyday language (ACMMG006)

Compare and order duration of events using everyday language of time (ACMMG007)

Connect days of the week to familiar events and actions (ACMMG008)

Sort, describe and name familiar two-dimensional shapes and three-dimensional objects in the environment (ACMMG009)

Describe position and movement (ACMMG010)

Answer yes/no questions to collect information and make simple inferences (ACMSP011)

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 (ACMNA012)

Recognise, model, read, write and order numbers to at least 100.  Locate these numbers on a number line (ACMNA013)

Count collections to 100 by partitioning numbers using place value (ACMNA014)

Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts (ACMNA015)

Recognise and describe one-half as one of two equal parts of a whole (ACMNA016)

Recognise, describe and order Australian coins according to their value (ACMNA017)

Investigate and describe number patterns formed by skip-counting and patterns with objects (ACMNA018)

Measure and compare the lengths and capacities of pairs of objects using uniform informal units (ACMMG019)

Tell time to the half-hour (ACMMG020)

Describe duration using months, weeks, days and hours (ACMMG021)

Recognise and classify familiar two-dimensional shapes and three-dimensional objects using obvious features (ACMMG022)

Give and follow directions to familiar locations (ACMMG023)

Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’ (ACMSP024)

Choose simple questions and gather responses and make simple inferences (ACMSP262)

Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays (ACMSP263)

Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences (ACMNA026)

Recognise, model, represent and order numbers to at least 1000 (ACMNA027)

Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting (ACMNA028)

Explore the connection between addition and subtraction (ACMNA029)

Solve simple addition and subtraction problems using a range of efficient mental and written strategies (ACMNA030)

Recognise and represent multiplication as repeated addition, groups and arrays (ACMNA031)

Recognise and represent division as grouping into equal sets and solve simple problems using these representations (ACMNA032)

Recognise and interpret common uses of halves, quarters and eighths of shapes and collections (ACMNA033)

Count and order small collections of Australian coins and notes according to their value (ACMNA034)

Describe patterns with numbers and identify missing elements (ACMNA035)

Solve problems by using number sentences for addition or subtraction (ACMNA036)

Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units (ACMMG037)

Compare masses of objects using balance scales (ACMMG038)

Tell time to the quarter-hour, using the language of 'past' and 'to' (ACMMG039)

Name and order months and seasons (ACMMG040)

Use a calendar to identify the date and determine the number of days in each month (ACMMG041)

Describe and draw two-dimensional shapes, with and without digital technologies (ACMMG042)

Describe the features of three-dimensional objects (ACMMG043)

Interpret simple maps of familiar locations and identify the relative positions of key features (ACMMG044)

Investigate the effect of one-step slides and flips with and without digital technologies (ACMMG045)

Identify and describe half and quarter turns (ACMMG046)

Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’ (ACMSP047)

Identify a question of interest based on one categorical variable. Gather data relevant to the question (ACMSP048)

Collect, check and classify data (ACMSP049)

Create displays of data using lists, table and picture graphs and interpret them (ACMSP050)

Investigate the conditions required for a number to be odd or even and identify odd and even numbers (ACMNA051)

Recognise, model, represent and order numbers to at least 10 000 (ACMNA052)

Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053)

Recognise and explain the connection between addition and subtraction (ACMNA054)

Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055)

Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)

Model and represent unit fractions including 1/2, 1/4, 1/3, 1/5 and their multiples to a complete whole (ACMNA058)

Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059)

Describe, continue, and create number patterns resulting from performing addition or subtraction (ACMNA060)

Measure, order and compare objects using familiar metric units of length, mass and capacity (ACMMG061)

Tell time to the minute and investigate the relationship between units of time (ACMMG062)

Make models of three-dimensional objects and describe key features (ACMMG063)

Create and interpret simple grid maps to show position and pathways (ACMMG065)

Identify symmetry in the environment (ACMMG066)

Identify angles as measures of turn and compare angle sizes in everyday situations (ACMMG064)

Conduct chance experiments, identify and describe possible outcomes and recognise variation in results (ACMSP067)

Identify questions or issues for categorical variables. Identify data sources and plan methods of data collection and recording (ACMSP068)

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 (ACMSP069)

Interpret and compare data displays (ACMSP070)

Investigate and use the properties of odd and even numbers (ACMNA071)

Recognise, represent  and order numbers to at least tens of thousands (ACMNA072)

Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems (ACMNA073)

Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9 (ACMNA074)

Recall multiplication facts up to 10 × 10 and related division facts (ACMNA075)

Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder (ACMNA076)

Investigate equivalent fractions used in contexts (ACMNA077)

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies (ACMNA080)

Explore and describe number patterns resulting from performing multiplication (ACMNA081)

Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082)

Find unknown quantities in number sentences involving addition and subtraction and identify equivalent number sentences involving addition and subtraction (ACMNA083)

Use scaled instruments  to measure and compare lengths, masses, capacities and temperatures (ACMMG084)

Compare objects using familiar metric units of area and volume (ACMMG290)

Convert between units of time (ACMMG085)

Use ‘am’ and ‘pm’ notation and solve simple time problems (ACMMG086)

Compare the areas of regular and irregular shapes  by informal means (ACMMG087)

Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088)

Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090)

Create symmetrical patterns, pictures and shapes with and without digital technologies (ACMMG091)

Compare angles and classify them as equal to, greater than, or less than, a right angle (ACMMG089)

Describe possible everyday events and order their chances of occurring (ACMSP092)

Identify everyday events where one cannot happen if the other happens (ACMSP093)

Identify events where the chance of one will not be affected by the occurrence of the other (ACMSP094)

Select and trial methods for data collection, including survey questions and recording sheets (ACMSP095)

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 (ACMSP096)

Evaluate the effectiveness of different displays in illustrating data features including variability (ACMSP097)

Identify and describe factors and multiples of whole numbers and use them to solve problems (ACMNA098)

Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099)

Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies (ACMNA100)

Solve problems involving division by a one digit number, including those that result in a remainder (ACMNA101)

Use efficient mental and written strategies and apply appropriate digital technologies to solve problems (ACMNA291)

Compare and order common unit fractions and locate and represent them on a number line (ACMNA102)

Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator (ACMNA103)

Recognise that the place value system can be extended beyond hundredths (ACMNA104)

Compare, order and represent decimals (ACMNA105)

Create simple financial plans (ACMNA106)

Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction (ACMNA107)

Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division (ACMNA121)

Choose appropriate units of measurement for length, area, volume, capacity and mass (ACMMG108)

Calculate perimeter and area of rectangles using familiar metric units (ACMMG109)

Compare 12- and 24-hour time systems and convert between  them (ACMMG110)

Connect three-dimensional objects with their nets and other two-dimensional representations (ACMMG111)

Use a grid reference system to describe locations. Describe routes using landmarks and directional language (ACMMG113)

Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries (ACMMG114)

Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original (ACMMG115)

Estimate, measure and compare angles using degrees. Construct angles using a protractor (ACMMG112)

List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions (ACMSP116)

Pose questions and collect categorical or numerical data by observation or survey (ACMSP118)

Construct displays, including column graphs, dot plots and tables,  appropriate for data type, with and without the use of digital technologies (ACMSP119)

Describe and interpret different data sets in context (ACMSP120)

Identify and describe properties of prime, composite, square and triangular numbers (ACMNA122)

Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers (ACMNA123)

Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124)

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)

Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)

Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies (ACMNA127)

Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without digital technologies (ACMNA129)

Multiply and divide decimals by powers of 10 (ACMNA130)

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies (ACMNA132)

Continue and create sequences involving whole numbers, fractions and decimals.  Describe the rule used to create the sequence (ACMNA133)

Explore the use of brackets and order of operations to write number sentences (ACMNA134)

Connect decimal representations to the metric system (ACMMG135)

Convert between common metric units of length, mass and capacity (ACMMG136)

Solve problems involving the comparison of lengths and areas using appropriate units (ACMMG137)

Connect volume and capacity and their units of measurement (ACMMG138)

Interpret and use timetables (ACMMG139)

Construct simple prisms and pyramids (ACMMG140)

Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142)

Introduce the Cartesian coordinate system using all four quadrants (ACMMG143)

Investigate, with and without digital technologies, angles on a straight line, angles at a point and vertically opposite angles. Use results to find unknown angles (ACMMG141)

Describe probabilities using fractions, decimals and percentages (ACMSP144)

Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies (ACMSP145)

Compare observed frequencies across experiments with expected frequencies (ACMSP146)

Interpret and compare a range of data displays, including side-by-side column graphs for two categorical variables (ACMSP147)

Interpret secondary data presented in digital media and elsewhere (ACMSP148)

Investigate index notation and represent whole numbers as products of powers of prime numbers (ACMNA149)

Investigate  and use square roots of perfect square numbers (ACMNA150)

Apply the associative, commutative and distributive laws to aid mental and written computation (ACMNA151)

Compare, order, add and subtract integers (ACMNA280)

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152)

Solve problems involving addition and subtraction of fractions, including those with unrelated denominators (ACMNA153)

Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154)

Express one quantity as a fraction of another, with and without the use of digital technologies (ACMNA155)

Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

Find percentages of quantities and express one quantity as a percentage of another, with and without digital technologies (ACMNA158)

Recognise and solve problems involving simple ratios (ACMNA173)

Investigate and calculate 'best buys', with and without digital technologies (ACMNA174)

Introduce the concept of variables as a way of representing numbers using letters (ACMNA175)

Create algebraic expressions and evaluate them by substituting a given value for each variable (ACMNA176)

Extend and apply the laws and properties of arithmetic to algebraic terms and expressions (ACMNA177)

Given coordinates, plot points on the Cartesian plane, and find coordinates for a given point (ACMNA178)

Solve simple linear equations (ACMNA179)

Investigate, interpret and analyse graphs from authentic data (ACMNA180)

Establish the formulas for areas of rectangles, triangles and parallelograms, and use these in problem-solving (ACMMG159)

Calculate volumes of rectangular prisms (ACMMG160)

Draw different views of prisms and solids formed from combinations of prisms (ACMMG161)

Describe translations, reflections in an axis and rotations of multiples of 90° on the Cartesian plane using coordinates. Identify line and rotational symmetries (ACMMG181)

Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163)

Investigate conditions for two lines to be parallel and solve simple numerical problems using reasoning (ACMMG164)

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMMG166)

Classify triangles according to their side and angle properties and describe quadrilaterals (ACMMG165)

Construct sample spaces for single-step experiments with equally likely outcomes (ACMSP167)

Assign probabilities to the outcomes of events and determine probabilities for events (ACMSP168)

Identify and investigate issues involving numerical data collected from primary and secondary sources (ACMSP169)

Construct and compare a range of data displays including stem-and-leaf plots and dot plots (ACMSP170)

Calculate mean, median, mode and range for sets of data. Interpret these statistics in the context of data (ACMSP171)

Describe and interpret data displays using median, mean and range (ACMSP172)

Use index notation with numbers to establish the index laws with positive integral indices and the zero index (ACMNA182)

Carry out the four operations with rational numbers and integers, using efficient mental and written strategies and appropriate digital technologies (ACMNA183)

Investigate terminating and recurring decimals (ACMNA184)

Investigate the concept of irrational numbers, including π (ACMNA186)

Solve problems involving the use of percentages, including percentage increases and decreases, with and without digital technologies (ACMNA187)

Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

Solve problems involving profit and loss, with and without digital technologies (ACMNA189)

Extend and apply the distributive law to the expansion of algebraic expressions (ACMNA190)

Factorise algebraic expressions  by identifying numerical factors (ACMNA191)

Simplify algebraic expressions involving the four operations (ACMNA192)

Plot linear relationships on the Cartesian plane with and without the use of digital technologies (ACMNA193)

Solve linear equations using algebraic and graphical techniques. Verify solutions by substitution (ACMNA194)

Choose appropriate units of measurement for area and volume and convert from one unit to another (ACMMG195)

Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites (ACMMG196)

Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area (ACMMG197)

Develop formulas for volumes of rectangular and triangular prisms and prisms in general. Use formulas to solve problems involving volume (ACMMG198)

Solve problems involving duration, including using 12- and 24-hour time within a single time zone (ACMMG199)

Define congruence of plane shapes using transformations (ACMMG200)

Develop the conditions for congruence of triangles (ACMMG201)

Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related numerical problems using reasoning (ACMMG202)

Identify complementary events and use the sum of probabilities to solve problems (ACMSP204)

Describe events using language of 'at least', exclusive 'or' (A or B but not both), inclusive 'or' (A or B or both) and 'and' (ACMSP205)

Represent events in two-way tables and Venn diagrams and solve related problems (ACMSP292)

Investigate techniques for collecting data, including census, sampling and observation (ACMSP284)

Explore the practicalities and implications of obtaining data through sampling using a variety of investigative processes (ACMSP206)

Explore the variation of means and proportions of random samples drawn from the same population (ACMSP293)

Investigate the effect of individual data values, including outliers, on the mean and median (ACMSP207)

Solve problems involving direct proportion. Explore the relationship between graphs and equations corresponding to simple rate problems (ACMNA208)

Apply index laws to numerical expressions with integer indices (ACMNA209)

Express numbers in scientific notation (ACMNA210)

Solve problems involving simple interest (ACMNA211)

Extend and apply the index laws to variables, using positive integer indices and the zero index (ACMNA212)

Apply the distributive law to the expansion of algebraic expressions, including binomials, and collect like terms where appropriate (ACMNA213)

Find the distance between two points located on the Cartesian plane using a range of strategies, including graphing software (ACMNA214)

Find the midpoint and gradient of a line segment (interval) on the Cartesian plane using a range of strategies, including graphing software (ACMNA294)

Sketch linear graphs using the coordinates of two points and solve linear equations (ACMNA215)

Graph simple non-linear relations with and without the use of digital technologies and solve simple related equations (ACMNA296)

Calculate areas of composite shapes (ACMMG216)

Calculate the surface area and volume of cylinders and solve related problems (ACMMG217)

Solve problems involving the surface area and volume of right prisms (ACMMG218)

Investigate very small and very large time scales and intervals (ACMMG219)

Use the enlargement transformation to  explain similarity and develop the conditions for triangles to be similar (ACMMG220)

Solve problems using ratio and scale factors in similar figures (ACMMG221)

Investigate Pythagoras’ Theorem and its application to solving simple problems involving right-angled triangles (ACMMG222)

Use similarity to investigate the constancy of the sine, cosine and tangent ratios for a given angle in right-angled triangles (ACMMG223)

Apply trigonometry to solve right-angled triangle problems (ACMMG224)

List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225)

Calculate relative frequencies from given or collected data to estimate probabilities of events involving 'and' or 'or' (ACMSP226)

Investigate reports of surveys in digital media and elsewhere for information on how data were obtained to estimate population means and medians (ACMSP227)

Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly and from secondary sources (ACMSP228)

Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (ACMSP282)

Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (ACMSP283)

Connect the compound interest formula to repeated applications of simple interest using appropriate digital technologies (ACMNA229)

Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230)

Simplify algebraic products and quotients using index laws (ACMNA231)

Apply the four operations to simple algebraic fractions with numerical denominators (ACMNA232)

Expand binomial products and factorise monic quadratic expressions using a variety of strategies (ACMNA233)

Substitute values into formulas to determine an unknown (ACMNA234)

Solve problems involving linear equations, including those derived from formulas (ACMNA235)

Solve linear inequalities and graph their solutions on a number line (ACMNA236)

Solve linear simultaneous equations, using algebraic and graphical techniques, including using digital technology (ACMNA237)

Solve problems involving parallel and perpendicular lines (ACMNA238)

Explore the connection between algebraic and graphical representations of relations such as simple quadratics, circles and exponentials using digital technology as appropriate (ACMNA239)

Solve linear equations involving simple algebraic fractions (ACMNA240)

Solve simple quadratic equations using a range of strategies (ACMNA241)

Solve problems involving surface area and volume for a range of prisms, cylinders and composite solids (ACMMG242)

Formulate proofs involving congruent triangles and angle properties (ACMMG243)

Apply logical reasoning, including the use of congruence and similarity, to proofs and numerical exercises involving plane shapes (ACMMG244)

Solve right-angled triangle problems including those involving direction and angles of elevation and depression (ACMMG245)

Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence (ACMSP246)

Use the language of ‘if ....then', ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language (ACMSP247)

Determine quartiles and interquartile range (ACMSP248)

Construct and interpret box plots and use them to compare data sets (ACMSP249)

Compare shapes of box plots to corresponding histograms and dot plots (ACMSP250)

Use scatter plots to investigate and comment on relationships between two numerical variables (ACMSP251)

Investigate and describe bivariate numerical data where the independent variable is time (ACMSP252)

Evaluate statistical reports in the media and other places by linking claims to displays, statistics and representative data (ACMSP253)

Define rational and irrational numbers and perform operations with surds and fractional indices (ACMNA264)

Use the definition of a logarithm to establish and apply the laws of logarithms (ACMNA265)

Investigate the concept of a polynomial and apply the factor and remainder theorems to solve problems (ACMNA266)

Describe, interpret and sketch parabolas, hyperbolas, circles and exponential functions and their transformations (ACMNA267)

Solve simple exponential equations (ACMNA270)

Apply understanding of polynomials to sketch a range of curves and describe the features of these curves from their equation (ACMNA268)

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts (ACMNA269)

Solve problems involving surface area and volume of right pyramids, right cones, spheres and related composite solids (ACMMG271)

Prove and apply angle and chord properties of circles (ACMMG272)

Establish the sine, cosine and area rules for any triangle and solve related problems (ACMMG273)

Use the unit circle to define trigonometric functions, and graph them with and without the use of digital technologies (ACMMG274)

Solve simple trigonometric equations (ACMMG275)

Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles (ACMMG276)

Investigate reports of studies in digital media and elsewhere for information on their planning and implementation (ACMSP277)

Calculate and interpret the mean and standard deviation of data and use these to compare data sets (ACMSP278)

Use information technologies to investigate bivariate numerical data sets. Where appropriate use a straight line to describe the relationship allowing for variation (ACMSP279)