Here at A Learning Place A Teaching Place, our primary goal is to develop deep mathematical understanding in both teacher and students. As such, we offer mathematical resources that are aligned to the primary school standards and outcomes of the Australian Mathematics Curriculum and NSW Mathematics Syllabus.
Below, you will find all Australian Primary School Curriculum and NSW Syllabus Outcomes as covered in our Teaching Resources. Australian Curriculum content descriptions are in GREEN, NSW Mathematics Syllabus Outcomes are in ORANGE and A Learning Place A Teaching Place levels are in BLACK. Here, you can see how we provide teaching resources aligned to the Australian Curriculum and NSW Mathematics Syllabus.
If you have a question about how our resources align to the Australian Curriculum and NSW Mathematics Syllabus, please do not hesitate to email us at info@alearningplace.com.au today!
ACMNA001 Establish understanding of the language and processes of counting by naming numbers in sequences, initially to and from 20, moving from any starting point
AU
NSW MAe-4NA Counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW
- Early Counting and Grouping 1 Count forwards and backwards by ones
- Early Counting and Grouping 2 Write numerals correctly
- Early Counting and Grouping 3 Recognise a numeral when its name is spoken, recognise a number when seeing its numeral
ALP
ACMNA002 Connect number names, numerals and quantities, including zero, initially up to 10 and then beyond
AU
NSW MAe-4NA Counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW
- Early Counting and Grouping 4 Counting items with one-to-one correspondence, last number said is the total
- Early Counting and Grouping 5 Identify a number by the number before and after, identify the number before and after a number
- Early Counting and Grouping 6 A number always represents the same amount
- Early Counting and Grouping 7 Counting forwards is adding 1, counting backwards is taking away 1,
- Early Counting and Grouping 8 Number after is 1 more, Number before is 1 fewer
- Early Counting and Grouping 9 Subitise the number in collection without counting
ALP
ACMNA289 Compare, order and make correspondences between collections, initially to 20, and explain reasoning
AU
NSW MAe-4NA Counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW MAe-6NA groups, shares and counts collections of objects, describes using everyday language, and records using informal methods
NSW
- Early Counting and Grouping 10 Estimate the number in a group, then count using one-to-one correspondence
- Early Counting and Grouping 11 Identify that numbers are inclusive
- Early Counting and Grouping 12 Groups with markers and with no markers, compare equal and unequal groups
ALP
ACMNA004 Represent practical situations to model addition and sharing
AU
MAe-5NA combines, separates and compares collections of objects, describes using everyday language, and records using informal methods
NSW
- Early Counting and Grouping 13 Join groups to add, record ‘and’, ‘is’
- Early Counting and Grouping 14 Taking away to subtract record ‘is’, ‘take away’
- Early Counting and Grouping 15 Find difference through adding to the smaller group or taking away from the larger group
- Place Value 1 Partition single-digit numbers, equal not equal Combinations to 10 through partitioning
- Place Value 2 Placing and counting counters on 10 frames, using 5 as a reference, identifying friends of 10
- Place Value 3 Partition teen numbers
- Place Value 5 Friends of 20
ALP
NSW MAe-4NA Counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW
- Place Value 4 Teen numbers are ’10 and…’
- Money and Financial Mathematics 1 Describe and identify Australian coins
ALP
ACMNA016 Recognise and describe one half as one of two equal parts of a whole
AU
NSW MAe-7NA Describes two equal parts as halves
NSW
- Fractions and Decimals 1 Halve shapes and lengths, explaining it is half as big / long
ALP
ACMNA005 ort and classify familiar objects and explain the basis for these classifications. Copy, continue and create patterns with objects and drawings
AU
NSW MAe-8NA Recognises, describes and continues repeating patterns
NSW
- Patterns and Algebra 1 Identify patterns and the part that repeats
- Patterns and Algebra 2 Recognise errors in patterns using the part repeats
ALP
ACMMG006 Use direct and indirect comparisons to decide which is longer, heavier or holds more, and explaining reasoning in everyday language
AU
NSW MAe-9MG Describes and compares lengths and distances using everyday language
NSW
- Measurement and Geometry 2 Create / compare lengths, heights, distances
- Measurement and Geometry 4 Compare lengths, identifying that if A is longer than B, and B is longer than C, then A is also longer than C
ALP
NSW MAe-10MG Describes and compares areas using everyday language
NSW
- Measurement and Geometry 10 Compare area by direct comparison
- Measurement and Geometry 11 Compare 3 areas, identifying if A has a larger area than B, and B has a larger area than C, then A also has a larger area than C
ALP
NSW MAe-11MG Describes and compares the capacities of containers and the volumes of objects or substances using everyday language
NSW
- Measurement and Geometry 8 Compare the volumes of objects and the capacities of containers, directly
ALP
NSW MAe-12MG Describes and compares the masses of objects using everyday language
NSW
- Measurement and Geometry 12 Compare mass by hefting, describing light and heavy objects
ALP
ACMMG007 Compare and order the duration of events using the everyday language of time
ACMMG008 Connect days of the week to familiar events and actions
AU
NSW MAe-13MG Sequences events, uses everyday language to describe the durations of events, and reads hour time on clocks
NSW
- Time 1 Name the days of the week, identifying the day before and after and describing events on days
- Time 2 Sequence events in time using ordinal numbers 1st, 2nd, 3rd…
- Time 3 Compare and describe long and short time durations
- Time 4 Investigate time on the hour on analog and digital clocks, describing the direction of hand movement related to sundials
ALP
ACMNA009 Sort, describe and name familiar two-dimensional shapes and threedimensional objects in the environment
AU
NSW MAe-14MG Manipulates, sorts and represents three-dimensional objects and describes them using everyday language
NSW
- Measurement and Geometry 7 Compare three-dimensional objects, describing flat and curved surfaces
ALP
NSW MAe-15MG Manipulates, sorts and describes representations of two-dimensional shapes, including circles, triangles, squares and rectangles, using everyday language
NSW
- Measurement and Geometry 1 Squares, triangles, circles and rectangles
- Measurement and Geometry 6 Comparing three-dimensional objects and two-dimensional shapes, identifying dimensions and the two-dimensional surfaces of three-dimensional objects, describing straight lines and corners, and curved lines on two-dimensional shapes
ALP
ACMNA010 Describe position and movement
AU
NSW MAe-16MG Describes position and gives and follows simple directions using everyday language
NSW
- Measurement and Geometry 3 Describing the position of an object in relation to another object using positional language
- Measurement and Geometry 5 Give and follow directions to a place
- Measurement and Geometry 9 Describing the position of an object in relation to self, giving and following directions to and from self
ALP
ACMNA011 Answer yes/no questions to collect information
AU
NSW MAe-17SP Represents data and interprets data displays made from objects
NSW
- Statistics and Probability 1 Asking and answering yes and no questions, recording data in a chart in rows
ALP
ACMMG139 Interpret and use timetables
AU
ACMNA012 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
ACMNA013 Recognise, model, read, write and order numbers to at least 100. Locate these numbers on a number line
ACMNA014 Count collections to 100 by partitioning numbers using place value
AU
NSW MA1-4NA counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW
- Addition and Subtraction 1 Counting forwards by 1s is adding 1, recording on a number line
- Addition and Subtraction 2 Count backwards by 1s is subtracting 1, recording on a number line
- Place Value 6 Friends of 10 through addition/subtraction/commutativity
- Place Value 7 Place value of teen numbers
- Place Value 8 Partition single-digit, teen numbers
- Place Value 9 Friends of 20
- Place Value 10 Friends of any decade
- Place Value 11 Standard/non-standard place value of two-digit numbers, Partition two-digit numbers
ALP
ACMNA015 Represent and solve simple addition and subtraction problems using a range of strategies including counting on, partitioning and rearranging parts
AU
NSW MA1-5NA uses a range of strategies and informal recording methods for addition and subtraction
NSW
- Addition and Subtraction 3 Add and subtract single-digit numbers counting by ones with counters
- Addition and Subtraction 4 Add and subtract single-digit numbers counting by ones on a number line
- Addition and Subtraction 6 Add single-digit numbers using place value to bridge 10
- Addition and Subtraction 7 Subtract single-digit numbers using place value to bridge 10
- Addition and Subtraction 8 Add/subtract single-digit numbers using place value to bridge 20
- Addition and Subtraction 9 Add/subtract single-digit numbers using place value to bridge any decade
ALP
NSW MA1-6NA uses a range of mental strategies and concrete materials for multiplication and division
NSW
- Multiplication and Division 1 Divide making ‘groups of’ / ‘equal groups’
- Multiplication and Division 2 Divide by 2 2 equal groups, number in each group, left over, halves, Divide by 2 groups of 2, number of groups, part left over
- Multiplication and Division 3 Patterns and Algebra 8 Rhythmic / skip count forwards and backwards by 2s, 5s and 10s naming multiples on a number line and on a hundred chart
- Multiplication and Division 4 Patterns and Algebra 8 Divide into groups of 2, 5 and 10, and find total using skip and rhythmic counting
ALP
ACMNA016 Recognise and describe one-half as one of two equal parts of a whole.
AU
NSW MA1-7NA represents and models halves, quarters and eighths
NSW
- Fractions and Decimals 2 Halves of shapes and groups
ALP
NSW MA1-8NA creates, represents and continues a variety of patterns with numbers and objects
NSW
- Addition and Subtraction 5 Add explaining commutativity
- Addition and Subtraction 10 Patterns and Algebra 5 Add/subtract zero
- Addition and Subtraction 11 Patterns and Algebra 6 Add using associativity
- Addition and Subtraction 12 Patterns and Algebra 7 Missing and equivalent number sentences
- Patterns and Algebra 9 Identify odd and even number patterns, recognising when an error occurs
- Patterns and Algebra 10 Explain even numbers by halving to get a whole number
ALP
ACMNA018 Investigate and describe number patterns formed by skip counting and patterns with objects
AU
NSW MA1-8NA creates, represents and continues a variety of patterns with numbers and objects
NSW
- Patterns and Algebra 3 Identifying part that repeats in a pattern
- Multiplication and Division 3 Patterns and Algebra 8 Rhythmic / skip count forwards and backwards by 2s, 5s and 10s naming multiples on a number line and on a hundred chart
ALP
ACMNA017 Recognise, describe and order Australian coins according to their value
AU
NSW MA1-4NA counts to 30, and orders, reads and represents numbers in the range 0 to 20
NSW
- Money Financial Mathematics 2 Values of Australian coins and notes
- Money Financial Mathematics 3 Other countries’ coins and notes
ALP
ACMMG019 Measure and compare the lengths and capacities of pairs of objects using uniform informal units
AU
NSW MA1‑9MG measures, records, compares and estimates lengths and distances using uniform informal units, metres and centimetres
NSW
- Measurement and Geometry 14 Length in multiple / single informal units
ALP
NSW MA1‑10MG measures, records, compares and estimates areas using uniform informal units
NSW
- Measurement and Geometry 16 Area in multiple units, square is best
ALP
NSW MA1‑11MG measures, records, compares and estimates volumes and capacities using uniform informal units
NSW
- Measurement and Geometry 18 Volume and Capacity multiple units, cube flat surfaced objects, liquid curved surface objects
ALP
NSW MA1‑12MG measures, records, compares and estimates the masses of objects using uniform informal units
NSW
- Measurement and Geometry 19 Compare, order mass equal arm balance
ALP
ACMMG020 Tell time to the half hour
ACMMG021 Describe duration using months, weeks, days and hours
AU
NSW MA1-13MG describes, compares and orders durations of events, and reads half- and quarter-hour time
NSW
- Time 5 Duration of months, seasons, days, hours
- Time 6 Hand movement on clock, half past
ALP
ACMMG022 Recognise and classify familiar twodimensional shapes and three-dimensional objects using obvious features
AU
NSW MA1‑14MG sorts, describes, represents and recognises familiar three-dimensional objects, including cones, cubes, cylinders, spheres and prisms
NSW
- Measurement and Geometry 17 Three-dimensional objects flat/curved surfaces, lines, edges
ALP
NSW MA1‑15MG manipulates, sorts, represents, describes and explores two-dimensional shapes, including quadrilaterals, pentagons, hexagons and octagons
NSW
- Measurement and Geometry 13 Two-dimensional shapes, lines, sides
ALP
ACMMG023 Give and follow directions to familiar locations
AU
NSW MA1‑16MG represents and describes the positions of objects in everyday situations and on maps
NSW
- Measurement and Geometry 15 Position and Directions
ALP
ACMSP262 Choose simple questions and gather responses
ACMSP263 Represent data with objects and drawings where one object or drawing represents one data value. Describe the displays
AU
NSW MA1-17SP gathers and organises data, displays data in lists, tables and picture graphs, and interprets the results
NSW
- Statistics and Probability 3 Collect and represent data in pictures and objects
- Statistics and Probability 4 Interpret picture graphs chance language
ALP
ACMSP024 Identify outcomes of familiar events involving chance and describe them using everyday language such as ‘will happen’, ‘won’t happen’ or ‘might happen’
AU
NSW MA1-18SP recognises and describes the element of chance in everyday events
NSW
- Statistics and Probability 2 Chance outcomes of familiar events
ALP
ACMNA027 Recognise, model, represent and order numbers to at least 1000
ACMNA028 Group, partition and rearrange collections up to 1000 in hundreds, tens and ones to facilitate more efficient counting
AU
NSW MA1-4NA applies place value, informally, to count, order, read and represent two- and three-digit numbers
NSW
- Place Value 12 Count forwards and backwards by 10s on and off the decade
- Place Value 13 Partition tens numbers
- Place Value 14 Identify friends of any 100, through addition and subtraction
- Place Value 15 Explain standard and non-standard place value of three-digit numbers grouping flexibly in hundreds, tens and ones, read and order three-digit numbers on a number line and hundred charts, partition three-digit numbers using standard and non-standard place value and non-place value
- Place Value 16 Patterns and Algebra 12 Count forwards and backwards by 100s, 10s and 1s on and off the hundred and decade from three-digit numbers
ALP
ACMNA034 Count and order small collections of Australian coins and notes according to their value
AU
- Money Financial Mathematics 4 Recognise that there 100 cents in $1, 200 cents in $2
- Money Financial Mathematics 5 Count and order small collections of coins and notes according to their value
- Money Financial Mathematics 6 Make given amounts in multiple ways using coins and notes.
- Addition and Subtraction 18 Money Financial Mathematics 7 Add and subtract coins and notes, count change
- Multiplication and Division 6 Money Financial Mathematics 8 Make given amounts in multiple ways using coins and notes
ALP
ACMNA029 Explore the connection between addition and subtraction
ACMNA030 Solve simple addition and subtraction problems using a range of efficient mental and written strategies
ACMNA036 Solve problems by using number sentences for addition or subtraction
AU
NSW MA1-5NA uses a range of strategies and informal recording methods for addition and subtraction
NSW
- Addition and Subtraction 13 Add and subtract 2 tens numbers, including on a hundreds chart, counting forwards and backwards by 10s on the decade
- Addition and Subtraction 14 Add and subtract a tens number by partitioning the tens number
- Addition and Subtraction 15 Add and subtract a ten numbers to and from two-digit numbers, counting forwards and backwards by 10s off the decade
- Addition and Subtraction 16 Add and subtract a tens number and a two-digit number by partitioning the tens number.
- Addition and Subtraction 17 Add / subtract 2-digit numbers by partitioning
- Addition and Subtraction 19 Patterns and Algebra 13 Relationship between addition and subtraction to see difference in three ways and to complete missing number sentences
- Addition and Subtraction 20 Patterns and Algebra 14 Solve problems involving addition or subtraction, representing a word problem as a number sentence and writing a word problem to represent a number sentence
ALP
ACMNA031 Recognise and represent multiplication as repeated addition, groups and arrays
ACMNA032 Recognise and represent division as grouping into equal sets and solve simple problems using these representations
AU
NSW MA1-6NA uses a range of mental strategies and concrete materials for multiplication and division
NSW
- Multiplication and Division 5 Divide array, describe multiplication, skip count / number rows, number in each row, multiply / divide repeated add / subtract, divide ‘groups of …’ count groups, / ‘… equal groups’ count counters, any part remaining
- Multiplication and Division 7 Divide by making ‘groups of …’ and count groups, and making ‘… equal groups’ and count counters in each group, divide into ‘groups of …’ and ‘… equal groups’ and describe part left over
- Multiplication and Division 8 Divide ‘groups of 4’ / ‘4 equal groups’ quarters, number of groups / in each group, any remaining
ALP
ACMNA033 Recognise and interpret common uses of halves, quarters and eighths of shapes and collections
AU
NSW MA1-7NA represents and models halves, quarters and eighths
NSW
- Fractions and Decimals 3 Quarter shapes by quartering and by halving a half,
- Fractions and Decimals 4 Quarter groups by quartering and by halving a half,
- Fractions and Decimals 5 Eighth shapes by eighthing, by halving a quarter and by quartering a half
- Fractions and Decimals 6 Eighth groups by eighthing, by halving a quarter and by quartering a half
ALP
ACMNA026 Investigate number sequences, initially those increasing and decreasing by twos, threes, fives and tens from any starting point, then moving to other sequences
ACMNA035 Describe patterns with numbers and identify missing elements
AU
NSW MA1-8NA creates, represents and continues a variety of patterns with numbers and objects
NSW
- Patterns and Algebra 11 Describe patterns that increase and decrease by adding and subtracting 10
ALP
ACMNA037 Compare and order several shapes and objects based on length, area, volume and capacity using appropriate uniform informal units
AU
NSW MA1 9MG measures, records, compares and estimates lengths and distances using uniform informal units, metres and centimetres
NSW
- Measurement and Geometry 21 Make tape measure using informal units and using centimetres, measure using metres and centimetres
ALP
NSW MA1 10MG measures, records, compares and estimates areas using uniform informal units
NSW
- Measurement and Geometry 23 Measure area using uniform informal square units arranged in a grid, (array)
ALP
NSW MA1 11MG measures, records, compares and estimates volumes and capacities using uniform informal units
NSW
- Measurement and Geometry 26 Make a measuring device using liquid informal units to measure capacities of containers with curved surfaces, make models using cubes to volume in cubes, compare volumes by displacement
ALP
ACMNA038 Compare masses of objects using balance scales
AU
NSW MA1 12MG measures, records, compares and estimates the masses of objects using uniform informal units
NSW
- Measurement and Geometry 28 Measure mass using uniform informal units on an equal arm balance
ALP
ACMNA039 Tell time to the quarter hour, using the language of ‘past’ and ‘to’
AU
NSW MA1 13MG describes, compares and orders durations of events, and reads half- and quarter-hour time
NSW
- Time 7 Estimate and measure duration of time using informal units
- Time 9 Experience activities that take an hour, half, quarter, one minute, few seconds
- Time 10 Tell time to quarter to and past hour analog and digital clocks, linked to fractions ‘half’ and ‘quarter’
ALP
ACMNA040 Name and order months and seasons
ACMNA041 Use a calendar to identify the date and determine the number of days in each month
AU
- Time 8 Use a simple calendar to estimate and measure the number of months, weeks and days till an event
- ACMNA042 Describe and draw two-dimensional shapes, with and without digital technologies
ALP
ACMNA045 Investigate the effect of one step slides and flips with and without digital technologies
ACMNA046 Identify and describe half and quarter turns
AU
NSW MA1 15MG manipulates, sorts, represents, describes and explores two-dimensional shapes, including quadrilaterals, pentagons, hexagons and octagons
NSW
- Measurement and Geometry 20 Regular / irregular two-dimensional shapes, vertices, straight, curved, vertical, horizontal, parallel lines
- Measurement and Geometry 27 Describe one-step slides, flips, full, half, quarter turns
- ACMNA043 Describe the features of three-dimensional objects
ALP
NSW MA1 14MG sorts, describes, represents and recognises familiar three-dimensional objects, including cones, cubes, cylinders, spheres and prisms
NSW
- Measurement and Geometry 24 Distinguish between three-dimensional objects and two-dimensional shapes, identifying dimensions, flat surfaces of three-dimensional objects are two-dimensional shapes
- Measurement and Geometry 25 Sort, describe and classify a three-dimensional object by its features on seeing them, and from a description of its features.
ALP
ACMNA044 Interpret simple maps of familiar locations and identify the relative positions of key features
AU
NSW MA1 16MG represents and describes the positions of objects in everyday situations and on maps
NSW
- Measurement and Geometry 22 Interpret simple maps of familiar spaces and describe the position of objects and features
ALP
ACMNA047 Identify practical activities and everyday events that involve chance. Describe outcomes as ‘likely’ or ‘unlikely’ and identify some events as ‘certain’ or ‘impossible’
ACMNA048 Identify a question of interest based on one categorical variable. Gather data relevant to the question
ACMNA049 Collect, check and classify data
ACMNA050 Create displays of data using lists, table and picture graphs and interpret them
AU
NSW MA1 17SP gathers and organises data, displays data in lists, tables and picture graphs, and interprets the results
NSW MA1 18SP recognises and describes the element of chance in everyday events
NSW
- Statistics and Probability 5 Describe likelihood using chance language
- Statistics and Probability 6 Collect data using tally marks, display data in lists, tables and picture graphs using a base line and one-to-one correspondence., comparing the usefulness of different types of data displays
- Statistics and Probability 7 Interpret lists, tables and picture graphs by asking questions about data, including using the language of chance, and using the data to answer the questions
ALP
ACMNA052 Recognise, model, represent and order numbers to at least 10 000
ACMNA053 Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems
AU
NSW MA2-4NA applies place value to order, read and represent numbers of up to five digits
NSW
- Place Value 17 Patterns and Algebra 16 Count by 1s, 10s, 100s and 1000s, over 1000s, Standard and non-standard place value of four-digit numbers
- Place Value 18 Multiplicative place value of whole numbers to ten-thousands by multiplying and dividing by 10
ALP
ACMNA054 Recognise and explain the connection between addition and subtraction
ACMNA055 Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation
ACMNA059 Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents
AU
NSW MA2-5NA uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers
NSW
- Addition and Subtraction 21 Add and subtract three- and four-digit numbers using place value
- Addition and Subtraction 23, Money and Financial Maths 9 Add and subtract money, rounding to the nearest 5c, and give change
ALP
ACMNA057 Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies
ACMNA056 Recall multiplication facts of two, three, five and ten and related division facts
AU
NSW MA2-6NA uses mental and informal written strategies for multiplication and division
NSW
- Multiplication and Division 9 Multiplication and division by 10 using multiplicative place value
- Multiplication and Division 10, Patterns and Algebra 18 Multiplication and division by 2 using properties and relationships, relating division to fractions
- Multiplication and Division 11, Patterns and Algebra 18 Multiplication and division by 4 using properties and relationships, relating division to fractions
- Multiplication and Division 12, Patterns and Algebra 18 Multiplication and division by 3 using properties and relationships, relating division to fractions
- Multiplication and Division 13, Patterns and Algebra 18 Multiplication and division by 5 using properties and relationships, relating division to fractions
ALP
ACMNA058 Model and represent unit fractions and their multiples to a complete whole
AU
NSW MA2-7NA represents, models and compares commonly used fractions and decimals
NSW
- Fractions and Decimals 7 Role of the denominators 2, 4, 3, 5, 8, 10, as the number of parts we have divided by
- Fractions and Decimals 8 Multiplicative relationships between fractions while building a fraction wall.
- Fractions and Decimals 9 Non-unit fractions and the role of numerator as the number of parts we are concerned with
- Fractions and Decimals 10 Locate fractions on a number line and identify that 2/2, 3/3, 4/4, 10/10, 5/5, 8/8 = 1 including on a number line
ALP
ACMNA051 Investigate the conditions required for a number to be odd or even and identify odd and even numbers
ACMNA060 Describe, continue, and create number patterns resulting from performing addition or subtraction
AU
NSW MA2-8NA generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values
NSW
- Patterns and Algebra 15 Explain even and odd numbers
- Addition and Subtraction 22, Patterns and Algebra 19 Missing and equivalent number sentences, explaining equality and the relationship between addition and subtraction
- Patterns and Algebra 16 Patterns adding and subtracting 1000s, 100s, 10s and 1s
- Patterns and Algebra 17 Rule for number pattern, then create the pattern
ALP
ACMMG061 Measure, order and compare objects using familiar metric units of length, mass and capacity
AU
NSW MA2 9MG measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
NSW
- Measurement and Geometry 30 Metric length units metre, (decimetre), centimetre, millimetre, explaining the relationship to multiplicative place value
ALP
NSW MA2 10MG measures, records, compares and estimates areas using square centimetres and square metres
NSW
- Measurement and Geometry 33 Measure area using square metre, (square decimetre), square centimetre, (square millimetre), identifying length units have been turned into squares by extending into second dimension
ALP
NSW MA2 11MG measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
NSW
- Measurement and Geometry 35 Metric volume and capacity units, litre, (decilitre), centilitre, millilitre, explaining the relationship to multiplicative place value measure volume and capacity using cubic metre, (cubic decimetre), cubic centimetre, (cubic millimetre), identifying area units have been turned into cubes by extending into third dimension
ALP
NSW MA2 12MG measures, records, compares and estimates the masses of objects using kilograms and grams
NSW
- Measurement and Geometry 36 Metric mass units, kilogram, (hectogram, decagram), gram, explaining the relationship to multiplicative place value
ALP
ACMMG062 Tell time to the minute and investigate the relationship between units of time
AU
NSW MA2 13MG reads and records time in one-minute intervals and converts between hours, minutes and seconds
NSW
- Time 11 Tell time to the minute on digital and analog clocks and record both
ALP
NSW MA2 15MG manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
NSW
- Measurement and Geometry 29 Regular and irregular triangles, identifying the 3 straight lines that meet at vertices as sides, symmetry and rigidity
- Measurement and Geometry 32 Regular and irregular quadrilaterals, identifying the 4 straight lines that meet at vertices as sides, special quadrilaterals, angles
ALP
ACMMG063 Make models of three dimensional objects and describe key features
ACMMG066 Identify symmetry in the environment
AU
NSW MA2 15MG makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
NSW
- Measurement and Geometry 34 Prisms and pyramids, identifying 3 dimensions, flat surfaces with straight lines that meet at vertices as edges and faces, deconstructing nets, describing angles, vertical, horizontal and parallel lines, and symmetry
ALP
ACMMG064 Identify angles as measures of turn and compare angle sizes in everyday situations
AU
NSW MA2 16MG identifies, describes, compares and classifies angles
NSW
- Measurement and Geometry 31 Angles as the amount of turn, identifying the vertex and arms, angles as the relative slant of two arms that meet at a vertex, compare angles as less than, equal to, greater than right angle
- Time 12 Analog clock time, including the angles created through hand movement
ALP
ACMMG065 Create and interpret simple grid maps to show position and pathways
AU
NSW MA2 17MG uses simple maps and grids to represent position and follow routes, including using compass directions
NSW
- Measurement and Geometry 37 Interpret, draw, simple grid maps with alpha-numeric grid references
ALP
ACMSP067 Conduct chance experiments, identify and describe possible outcomes and recognise variation in results
ACMSP068 Identify questions or issues for categorical variables. Identify data sources and plan methods of data collections and recording
ACMSP069 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
ACMSP070 Interpret and compare data displays
AU
NSW MA2 18SP selects appropriate methods to collect data, and constructs, compares, interprets and evaluates data displays, including tables, picture graphs and column graphs
NSW MA2 19SP describes and compares chance events in social and experimental contexts
NSW
- Statistics and Probability 8 Collect data, record in picture graphs and simple column graphs
- Statistics and Probability 9 Interpret and compare data displays, including making statements using the language of chance
- Statistics and Probability 10 Refine questions to collect data that may be easily recorded in categories, recording in lists, picture graphs, simple column graphs, with and without technology, compare child-generated data representations, describing similarities and differences
- Statistics and Probability 11 Conduct repeated trials of chance experiments, identifying possible outcomes, recording results in lists, tables and column graphs, and explaining variation in results
ALP
ACMNA072 Recognise, represent and order numbers to at least tens of thousands
ACMNA073 Apply place value to partition, rearrange and regroup numbers to at least tens of thousands to assist calculations and solve problems
ACMNA079 Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation
AU
NSW MA2-4NA applies place value to order, read and represent numbers of up to five digits
MA2-7NA represents, models and compares commonly used fractions and decimals
NSW
- Place Value 19 Patterns and Algebra 20 Patterns adding / subtracting 1000s, 100s, 10s, 1s, Count, standard/non-standard place value, five-digit
- Place Value 20 Fractions and Decimals 11 Multiplicative place value, to tenths, expressing as decimal and fraction
- Place Value 21 Fractions and Decimals 12 Multiplicative place value, to hundredths, expressing as decimal and fraction
- Place Value 22 Fractions Decimals 16 Money and Financial Mathematics 11 money to 2 decimal places, cents fraction of a dollar
- Fractions Decimals 17 Round a number with one or two decimal places to the nearest whole number
- Place Value 23 Round a number with one or two decimal places to the nearest whole number
ALP
ACMNA080 Solve problems involving purchases and the calculation of change to the nearest five cents with and without digital technologies
ACMNA083 Use equivalent number sentences involving addition and subtraction to find unknown quantities
AU
MA2-5NA uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers
NSW
- Addition and Subtraction 24 Money and Financial Mathematics 10 Add and subtract five-digit numbers, including as money, using properties and relationships
- Addition and Subtraction 27 Patterns and Algebra 24 Record number sentences to represent additive problems, to find unknown quantities.
ALP
ACMNA076 Develop efficient mental and written strategies and use appropriate digital technologies for multiplication and for division where there is no remainder
ACMNA075 Recall multiplication facts up to 10 × 10 and related division facts
ACMNA082 Solve word problems by using number sentences involving multiplication or division where there is no remainder
AU
MA2-6NA uses mental and informal written strategies for multiplication and division
NSW
- Multiplication and Division 14 Patterns and Algebra 18 Multiplication and division by 9 using properties and relationships, relating division to fractions
- Multiplication and Division 15 Patterns and Algebra 18 Multiplication and division by 6 using properties and relationships, relating division to fractions
- Multiplication and Division 16 Patterns and Algebra 18 Multiplication and division by 8 using properties and relationships, relating division to fractions
- Multiplication and Division 17 Patterns and Algebra 18 Multiplication and division by 7 using properties and relationships, relating division to fractions
- Multiplication and Division 19 Patterns and Algebra 25 Solve word problems using number sentences involving multiplication and division
ALP
ACMNA077 Investigate equivalent fractions used in contexts
ACMNA078 Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line
AU
MA2-7NA represents, models and compares commonly used fractions and decimals
NSW
- Fractions and Decimals 13 Equivalent fractions using concrete material and the relationship between numerator and denominator
- Fractions and Decimals 14 Equivalent fractions on a number line
ALP
ACMNA071 Investigate and use the properties of odd and even numbers
ACMNA074 Investigate number sequences involving multiples of 3, 4, 6, 7, 8, and 9
ACMNA081 Explore and describe number patterns resulting from performing multiplication
AU
NSW MA2-8NA generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values
NSW
- Addition and Subtraction 25 Patterns and Algebra 21 Add and subtract combinations of odd and even numbers, using the results to check calculations
- Patterns and Algebra 23 Patterns involving skip counting multiples, naming terms, identifying the rule using multiplication / division
- Multiplication and Division 18 Patterns involving skip counting multiples, naming terms, identifying the rule using multiplication / division
- Patterns and Algebra 22 Addition and Subtraction 26 Fractions and Decimals 15 Number patterns, adding and subtracting fractions
ALP
ACMMG084 Use scaled instruments to measure and compare lengths, masses, capacities and temperatures
AU
NSW MA2-9MG measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
NSW
- Measurement and Geometry 39 Measure and convert metric length units, using fractions and multiplicative place value to hundredths
- Measurement and Geometry 46 Temperature on a scale thermometer
ALP
ACMMG290 Compare objects using familiar metric units of area and volume
ACMMG087 Compare the areas of regular and irregular shapes by informal means
AU
NSW MA2-10MG measures, records, compares and estimates areas using square centimetres and square metres
NSW
- Measurement and Geometry 42 Measure the area of non-rectangular shapes in square centimetres and square metres
ALP
NSW MA2-11MG measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
NSW
- Measurement and Geometry 45 Millilitres using scale on measuring container, converting between millilitres and litres, measuring water displaced as volume
ALP
NSW MA2-12MG measures, records, compares and estimates the masses of objects using kilograms and grams
NSW
- Measurement and Geometry 47 Mass in grams and kilograms using a set of scales, converting between grams and kilograms, grams and a fraction of a kilogram
ALP
ACMMG085 Convert between units of time
ACMMG086 Use am and pm notation and solve simple time problems
AU
NSW MA2-13MG reads and records time in one-minute intervals and converts between hours, minutes and seconds
NSW
- Time 13 Time using ‘am’ and ‘pm’
- Time 14 Convert between units of time
- Time 15 Interpret simple calendars, timetables, timelines
ALP
ACMMG088 Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies
ACMMG091 Create symmetrical patterns, pictures and shapes with and without digital technologies
AU
NSW MA2-15MG manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
NSW
- Measurement and Geometry 41 Create two-dimensional shapes by combining and splitting
- Measurement and Geometry 38 Create designs by reflecting, translating and rotating shapes, identifying symmetry and tessellation
ALP
ACMMG063 Make models of three-dimensional objects and describe key features
AU
NSW MA2-14MG makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
NSW
- Measurement and Geometry 44 Sketch the vertices, edges and faces of prisms and pyramids, cylinders and cones, and cube models using perspective, top, front, back and side view
ALP
ACMMG089 Compare angles and classify them as equal to, greater than or less than a right angle
AU
NSW MA2-16MG identifies, describes, compares and classifies angles
NSW
- Measurement and Geometry 40 Use angle testers, to test angles with 2 lines, 1 line as less than, larger than or a right angle
ALP
ACMMG090 Use simple scales, legends and directions to interpret information contained in basic maps
AU
NSW MA2-17MG uses simple maps and grids to represent position and follow routes, including using compass directions
NSW
- Measurement and Geometry 43 Use a key, compass, grid references, angles, scale distances on an alpha-numeric grid map
ALP
ACMSP092 Describe possible everyday events and order their chances of occurring
ACMSP093 Identify everyday events where one cannot happen if the other happens
ACMSP094 Identify events where the chance of one will not be affected by the occurrence of the other
AU
NSW MA2-19SP describes and compares chance events in social and experimental contexts
NSW
- Statistics and Probability 14 Order chance, chance affecting chance
ALP
ACMSP095 Select and trial methods for data collection, including survey questions and recording sheets
ACMSP096 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
ACMSP097 Evaluate the effectiveness of different displays in illustrating data features including variability
AU
NSW MA2-18SP selects appropriate methods to collect data, and constructs, compares, interprets and evaluates data displays, including tables, picture graphs and column graphs
NSW
- Statistics and Probability 12 Trial and evaluate methods for collecting data, selecting the most effective method for a given investigation, including 2 way tables and one-to-many correspondence, evaluating the effectiveness of different displays of the same data.
- Statistics and Probability 13 Ask questions about data in a display, including using the language of chance, and use the data to answer the questions..
ALP
ACMNA106 Create simple financial plans
AU
NSW MA3-4NA orders, reads and represents integers of any size and describes properties of whole numbers
NSW
- Money and Financial Mathematics 12 Financial plans, budgets, GST, invoices, receipts
ALP
ACMNA099 Use estimation and rounding to check the reasonableness of answers to calculations
ACMNA291 Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
AU
NSW MA3-5NA selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
NSW
- Addition and Subtraction 3 – 24 Add / subtract single-digit to 5-digit numbers
ALP
ACMNA098 Identify and describe factors and multiples of whole numbers and use them to solve problems
ACMNA099 Use estimation and rounding to check the reasonableness of answers to calculations
ACMNA100 Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
ACMNA101 Solve problems involving division by a one digit number, including those that result in a remainder
ACMNA121 Use equivalent number sentences involving multiplication and division to find unknown quantities
AU
NSW MA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
NSW
- Multiplication and Division 20 Highest common factor
- Multiplication and Division 21, Patterns and Algebra 26 Equivalent division calculations result if both numbers are divided by the same factor
- Multiplication and Division 22 Divisibility Tests
- Multiplication and Division 23 Fractions and Decimals 20 Division with remainders divided to create fractions
- Multiplication and Division 24 Multiply 2-digit numbers, mental strategies
- Fractions and Decimals 19 Role of vinculum as meaning divided by
ALP
ACMNA104 Recognise that the place value system can be extended beyond hundredths
ACMNA105 Compare, order and represent decimals
AU
NSW MA3-7NA compares, orders and calculates with fractions, decimals and percentages
NSW
- Fractions and Decimals 18, Place Value 24 Multiplicative place value, to hundredths, multiplying / dividing by 10, 100, 1000, as decimal and fraction
- Fractions and Decimals 19, Place Value 25 Multiplicative, standard / non-standard thousandths
ALP
ACMNA102 Compare and order common unit fractions and locate and represent them on a number line
ACMNA103 Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
AU
- Fractions and Decimals 22 Place Value 26 Order fractions and decimals on a number line
- Fractions and Decimals 23 Addition and Subtraction 29 Add / subtract fractions same denominator
ALP
ACMNA107 Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
AU
NSW MA3-8NA analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
NSW
- Fractions and Decimals 24 Place Value 27 Patterns and Algebra 27 Number patterns fractions, decimals, whole numbers
ALP
ACMMG108 Choose appropriate units of measurement for length, area, volume, capacity and mass
ACMMG109 Calculate the perimeter and area of rectangles using familiar metric units
AU
NSW MA3 9MG selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
NSW
- Measurement and Geometry 51 Kilometres, multiplicative place value, convert between units, compare metric system / imperial system length
ALP
NSW MA3 10MG selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
NSW
- Measurement and Geometry 52 Hectares, square kilometres, compare metric system / imperial system area
ALP
NSW MA3 11MG selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity
NSW
- Measurement and Geometry 55 Cubic metres, compare metric / imperial system volume capacity
ALP
NSW MA3 12MG selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass
NSW
- Measurement and Geometry 57 Mass tonnes, multiplicative place value, convert, compare metric / imperial system mass, gross mass and net mass
ALP
ACMMG110 Compare 12 and 24 hour time systems and convert between them
AU
NSW MA3 13MG uses 24-hour time and am and pm notation in real-life situations, and constructs timelines
NSW
- Time 16 Duration stop watch, start and finish time
- Time 17 Convert between 12 and 24 hour time
ALP
ACMMG111 Connect three dimensional objects with their nets and other two-dimensional representations
AU
NSW MA3 14MG identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views
NSW
- Measurement and Geometry 54 Properties prisms and pyramids, bases, faces shape, sections / cross-sections uniform / non-uniform
- Measurement and Geometry 56 Draw prisms / pyramids, nets
ALP
ACMMG114 Describe translations, reflections and rotations of two dimensional shapes. Identify line and rotational symmetries
ACMMG115 Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
AU
NSW MA3 15MG manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties
NSW
- Measurement and Geometry 50 Rotational symmetry, translations, reflections
- Measurement and Geometry 49 Angle / side properties two-dimensiomal shapes, enlarge, similar
ALP
ACMMG112 Estimate, measure and compare angles using degrees. Construct angles using a protractor
AU
NSW MA3 16MG measures and constructs angles, and applies angle relationships to find unknown angles
NSW
- Measurement and Geometry 48 Angles in degrees with a protractor
ALP
ACMMG113 Use a grid reference system to describe locations. Describe routes using landmarks and directional language
AU
NSW MA3 17MG locates and describes position on maps using a grid-reference system
NSW
- Measurement and Geometry 53 Use legend / key, compass, scale, alpha-numeric grid references to locate features and describe routes
ALP
ACMSP116 List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
ACMSP117 Recognise that probabilities range from 0 to 1
ACMSP118 Pose questions and collect categorical or numerical data by observation or survey
ACMSP120 Describe and interpret different data sets in context
AU
NSW MA3 18SP uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables
NSW
- Statistics and Probability 15 Column / line graphs, dot plots, tables, decisions
ALP
ACMSP119 List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
AU
NSW MA3 19SP conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes
NSW
- Statistics and Probability 16 Chance experiments, probabilities using fractions, identifying the sum equals 1
ALP
ACMNA124 Investigate everyday situations that use integers. Locate and represent these numbers on a number line
AU
NSW MA3-4NA orders, reads and represents integers of any size and describes properties of whole numbers
NSW
- Fractions and Decimals 25 Place Value 28 Multiplicative, standard and non standard place value of numbers of any size
- Addition and Subtraction 32 Patterns and Algebra 30 Additive problems involving negative numbers
ALP
ACMNA123 Select and apply efficient mental and written strategies and appropriate digital technologies to solve problems involving all four operations with whole numbers
AU
NSW MA3-5NA selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
NSW
- Addition and Subtraction 3 – 28 Add / subtract single-digit to 5-digit numbers, solving problems (weekly)
ALP
ACMNA129 Multiply decimals by whole numbers and perform divisions by non- zero whole numbers where the results are terminating decimals, with and without digital technologies
ACMNA130 Multiply and divide decimals by powers of 10
AU
NSW MA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
NSW
- Multiplication and Division 25 Fractions and Decimals 26 Place Value 29 Multiply / divide decimals 1000ths by whole numbers and powers of 10, record remainders fractions / decimals when dividing by 10
ALP
ACMNA134 Explore the use of brackets and order of operations to write number sentences
AU
- Multiplication and Division 9 – 17, 19, 22, 24 Multiply / divide by 10, 2, 4, 3, 5, 9, 6, 8, 7, multiply 2-digit, solve problems (weekly)
- Addition and Subtraction 33 Multiplication and Division 29 Patterns and Algebra 31 Order of operations / grouping symbols
ALP
ACMNA122 Identify and describe properties of prime, composite, square and triangular numbers
AU
- Multiplication and Division 27 Patterns and Algebra 29 Identify and explain square and triangular numbers
- Multiplication and Division 28 Patterns and Algebra 32 Prime and composite numbers, composite numbers are products of prime factors, using prime factors to simplify calculations
ALP
ACMNA125 Compare fractions with related denominators and locate and represent them on a number line
ACMNA126 Solve problems involving addition and subtraction of fractions with the same or related denominators
AU
NSW MA3-7NA compares, orders and calculates with fractions, decimals and percentages
NSW
- Fractions and Decimals 33 Addition and Subtraction 30 Add and subtract fractions with related denominators mental
ALP
ACMNA127 Find a simple fraction of a quantity where the result is a whole number, with and without digital technologies
AU
NSW MA3-6NA selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
NSW
- Fractions and Decimals 27 Multiplication and Division 28 Division is multiplication by a fraction
ALP
ACMNA128 Add and subtract decimals, with and without digital technologies, and use estimation and rounding to check the reasonableness of answers
AU
- Fractions and Decimals 28 Fractions in their simplest form by dividing numerator and denominator by their highest common factor
- Fractions and Decimals 32 Place Value 32 Addition and Subtraction 29 Add and subtract decimals using place value
ALP
ACMNA131 Make connections between equivalent fractions, decimals and percentages
ACMNA132 Investigate and calculate percentage discounts of 10%, 25% and 50% on sale items, with and without digital technologies
AU
- Fractions and Decimals 29 Percentages as hundredths
- Fractions and Decimals 30 Money and Financial Mathematics 13 Percentage discount
ALP
ACMNA133 Continue and create sequences involving whole numbers, fractions and decimals. Describe the rule used to create the sequence
AU
NSW MA3-8NA analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
NSW
- Fractions and Decimals 34 Patterns and Algebra 28 Place Value 31 Addition and Subtraction 31 Patterns of whole numbers, fractions and decimals in table, describe rule
ALP
ACMMG143 Introduce the Cartesian coordinate system using all four quadrants
AU
- Measurement and Geometry 62 Cartesian plane, describe location / construct shapes
ALP
ACMMG135 Connect decimal representations to the metric system
ACMMG136 Convert between common metric units of length, mass and capacity
AU
- NSW MA3-9MG selects and uses the appropriate unit and device to measure lengths and distances, calculates perimeters, and converts between units of length
- Measurement and Geometry 59 Convert between metric length units using multiplicative place value
ALP
ACMMG137 Solve problems involving the comparison of lengths and areas using appropriate units
AU
- NSW MA3-10MG selects and uses the appropriate unit to calculate areas, including areas of squares, rectangles and triangles
- Measurement and Geometry 60 Different perimeters / same area, same perimeter / different areas
ALP
ACMMG138 Connect volume and capacity and their units of measurement
AU
NSW MA3-11MG selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity
NSW
- Measurement and Geometry 64 Relate cubic / liquid units millilitre / cubic centimetre, convert liquid units multiplicative place value, compare metric / imperial cubic / liquid units
ALP
NSW MA3-12MG selects and uses the appropriate unit and device to measure the masses of objects, and converts between units of mass
NSW
- Measurement and Geometry 67 Relate liquid units / mass units – litre / kilogram, convert mass units multiplicative place value
ALP
ACMMG139 Interpret and use timetables
AU
NSW MA3-13MG uses 24-hour time and am and pm notation in real-life situations, and constructs timelines
NSW
- Time 18 Timelines using scale
- Time 19 Timetables, plan trips and daily activities
ALP
ACMMG140 Construct simple prisms and pyramids
AU
NSW MA3-14MG identifies three-dimensional objects, including prisms and pyramids, on the basis of their properties, and visualises, sketches and constructs them given drawings of different views
NSW
- Measurement and Geometry 63 Prisms and pyramids nets, cubes, skeletal, drawings
ALP
ACMMG142 Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies
AU
NSW MA3-15MG manipulates, classifies and draws two-dimensional shapes, including equilateral, isosceles and scalene triangles, and describes their properties
NSW
- Measurement and Geometry 61 Combinations translation, reflection, rotation
- Measurement and Geometry 58 Diagonals, axes of symmetry
- Measurement and Geometry 65 Parts of circles
ALP
ACMMG141 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
AU
NSW MA3-16MG measures and constructs angles, and applies angle relationships to find unknown angles
NSW
- Measurement and Geometry 66 Right, acute, obtuse, straight, reflex, revolution, angles on a straight line and at a point, vertically opposite angles, equal size, use to find unknown angles
ALP
ACMSP147 Interpret and compare a range of data displays, including side-by-side column graphs for two- categorical variables
ACMSP148 Interpret secondary data presented in digital media and elsewhere
AU
NSW MA3-18SP uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables
NSW
- Statistics and Probability 19 Two-way tables and side-by-side column graphs, identifying intended message and potentially misleading
ALP
ACMSP144 Describe probabilities using fractions, decimals and percentages
ACMSP145 Conduct chance experiments with both small and large numbers of trials using appropriate digital technologies
ACMSP146 Compare observed frequencies across experiments with expected frequencies
AU
NSW MA3-18SP conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes
NSW
- Statistics and Probability 17 Trials, predict frequencies
- Statistics and Probability 18 Fractions and Decimals 31 Place Value 30 Evaluate games of chance, describing probabilities using fractions, decimals and percentages, including on a number line
ALP