Stage 2
Outcomes
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Numbers and Algebra
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Whole Numbers
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MA2-4NA
Applies place value to order, read and represent numbers of up to five digits
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Whole Numbers 1
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Recognise, model, represent and order numbers to at least 10 000 (ACMNA052)
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Represent numbers of up to four digits using objects, words, numerals and digital displays
Examples
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Identify the number before and after a given two-, three- or four-digit number
Examples
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Count forwards and backwards by tens and hundreds on and off the decade, eg 1220, 1230, 1240, ... (on the decade); 423, 323, 223, ... (off the decade)
Examples
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Arrange numbers of up to four digits in ascending and descending order
Examples
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Represent numbers of up to four digits using objects, words, numerals and digital displays
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Apply place value to partition, rearrange and regroup numbers to at least 10 000 to assist calculations and solve problems (ACMNA053)
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Apply an understanding of place value and the role of zero to read, write and order numbers of up to four digits
Examples
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Use place value to partition numbers of up to four digits, eg 3265 as 3 groups of one thousand, 2 groups of one hundred, 6 groups of ten and 5 ones
Examples
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State the 'place value' of digits in numbers of up to four digits, eg 'In the number 3426, the place value of the "4" is 400 or 4 hundreds'
Examples
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Partition numbers of up to four digits in non-standard forms, eg 3265 as 32 hundreds and 65 ones
Examples
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Round numbers to the nearest ten, hundred or thousand
Examples
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Apply an understanding of place value and the role of zero to read, write and order numbers of up to four digits
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Recognise, model, represent and order numbers to at least 10 000 (ACMNA052)
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Whole Numbers 2
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Recognise, represent and order numbers to at least tens of thousands (ACMNA072)
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Apply an understanding of place value to read and write numbers of up to five digits
Examples
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Arrange numbers of up to five digits in ascending and descending order
Examples
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State the place value of digits in numbers of up to five digits
Examples
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Use place value to partition numbers of up to five digits and recognise this as 'expanded notation', eg 67 012 is 60 000 + 7000 + 10 + 2
Examples
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Partition numbers of up to five digits in non-standard forms, eg 67 000 as 50 000 + 17 000
Examples
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Round numbers to the nearest ten, hundred, thousand or ten thousand
Examples
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Apply an understanding of place value to read and write numbers of up to five digits
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Recognise, represent and order numbers to at least tens of thousands (ACMNA072)
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Whole Numbers 1
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MA2-4NA
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Addition and Subtraction
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MA2-5NA
Uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers
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Addition and Subtraction 1
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Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055)
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Add three or more single-digit numbers
Examples
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Model and apply the associative property of addition to aid mental computation, eg 2 + 3 + 8 = 2 + 8 + 3 = 10 + 3 = 13
Examples
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Apply known single-digit addition and subtraction facts to mental strategies for addition and subtraction of two-, three- and four-digit numbers, including:the jump strategy on an empty number line, the split strategy, the compensation strategy, using pat
Play Activities 301Examples
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Use concrete materials to model the addition and subtraction of two or more numbers, with and without trading, and record the method used
Examples
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Select, use and record a variety of mental strategies to solve addition and subtraction problems, including word problems, with numbers of up to four digits
Examples
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Use the equals sign to record equivalent number sentences involving addition and subtraction and so to mean 'is the same as', rather than to mean to perform an operation, eg 32 - 13 = 30 - 11
Examples
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Add three or more single-digit numbers
- Recognise and explain the connection between addition and subtraction (ACMNA054)
- Represent money values in multiple ways and count the change required for simple transactions to the nearest five cents (ACMNA059)
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Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055)
- Addition and Subtraction 2
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Addition and Subtraction 1
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MA2-5NA
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Multiplication and Division
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MA2-6NA
Uses mental and informal written strategies for multiplication and division
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Multiplication and Division 1
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Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)
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Count by twos, threes, fives or tens using skip counting
Examples
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Use mental strategies to recall multiplication facts for multiples of two, three, five and ten
Examples
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Link multiplication and division facts using groups or arrays
Examples
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Model and apply the commutative property of multiplication, eg 5 x 8 = 8 x 5
Examples
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Count by twos, threes, fives or tens using skip counting
- Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies (ACMNA057)
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Recall multiplication facts of two, three, five and ten and related division facts (ACMNA056)
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Multiplication and Division 2
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Recall multiplication facts up to 10 x 10 and related division facts (ACMNA075)
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Count by fours, sixes, sevens, eights and nines using skip counting
Examples
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Use the term 'product' to describe the result of multiplying two or more numbers, eg 'The product of 5 and 6 is 30'
Examples
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Use mental strategies to build multiplication facts to at least 10 x 10, including:using the commutative property of multiplication, using known facts to work out unknown facts, using doubling and repeated doubling as a strategy to multiply by 2, 4 and 8,
Examples
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Recall multiplication facts up to 10 x 10, including zero facts, with automaticity
Examples
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Find 'multiples' for a given whole number, eg the multiples of 4 are 4, 8, 12, 16, ...
Examples
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Relate multiplication facts to their inverse division facts, eg 6 x 4 = 24, so 24 / 6 = 4 and 24 / 4 = 6
Examples
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Determine 'factors' for a given whole number, eg the factors of 12 are 1, 2, 3, 4, 6, 12
Examples
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Use the equals sign to record equivalent number relationships involving multiplication, and to mean 'is the same as', rather than to mean to perform an operation, eg 4 x 3 = 6 x 2
Examples
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Count by fours, sixes, sevens, eights and nines using skip counting
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Develop efficient mental and written strategies, and use appropriate digital technologies, for multiplication and for division where there is no remainder (ACMNA076)
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Model and apply the associative property of multiplication to aid mental computation, eg 2 x 3 x 5 = 2 x 5 x 3 = 10 x 3 = 30
Examples
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Use mental and informal written strategies to multiply a two-digit number by a one-digit number, including: using known facts, multiplying the tens and the units, using an area model, using doubling and repeating, using the relationship between multiplica
Examples
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Use mental strategies to divide a two-digit number by a one-digit number where there is no remainder, including: using the inverse relationship of multiplication and division eg 63 / 9 = 7 because 7 x 9 = 63, recalling known division facts, using halving
Play Activities 123Examples
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Select and use a variety of mental and informal written strategies to solve multiplication and division problems
Examples
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Model and apply the associative property of multiplication to aid mental computation, eg 2 x 3 x 5 = 2 x 5 x 3 = 10 x 3 = 30
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Use mental strategies and informal recording methods for division with remainders
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Model division, including where the answer involves a remainder, using concrete materials
Examples
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Use mental strategies to divide a two-digit number by a one-digit number in problems for which answers include a remainder, eg 27 / 6: if 4 x 6 = 24 and 5 x 6 = 30, the answer is 4 remainder 3
Examples
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Interpret the remainder in the context of a word problem, eg 'If a car can safely hold 5 people, how many cars are needed to carry 41 people?'; the answer of 8 remainder 1 means that 9 cars will be needed
Examples
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Model division, including where the answer involves a remainder, using concrete materials
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Recall multiplication facts up to 10 x 10 and related division facts (ACMNA075)
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Multiplication and Division 1
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MA2-6NA
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Fractions and Decimals
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MA2-7NA
Represents, models and compares commonly used fractions and decimals
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Fractions and Decimals 1
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Model and represent unit fractions, including 1/2, 1/4, 1/3 and 1/5 and their multiples, to a complete whole (ACMNA058)
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Model fractions with denominators of 2, 3, 4, 5 and 8 of whole objects, shapes and collections using concrete materials and diagrams
Examples
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Name fractions up to one whole, eg 1/5, 2/5, 3/5, 4/5, 5/5
Examples
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Interpret the denominator as the number of equal parts a whole has been divided into
Examples
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Interpret the numerator as the number of equal fractional parts, eg 3/8 means 3 equal parts of 8
Examples
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Model fractions with denominators of 2, 3, 4, 5 and 8 of whole objects, shapes and collections using concrete materials and diagrams
- Count by quarters, halves and thirds, including with mixed numerals; locate and represent these fractions on a number line (ACMNA078)
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Model and represent unit fractions, including 1/2, 1/4, 1/3 and 1/5 and their multiples, to a complete whole (ACMNA058)
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Fractions and Decimals 2
- Investigate equivalent fractions used in contexts (ACMNA077)
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Recognise that the place value system can be extended to tenths and hundredths, and make connections between fractions and decimal notation (ACMNA079)
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Recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals, eg 0.1 is the same as 1/10
Examples
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State the place value of digits in decimal numbers of up to two decimal places
Examples
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Round a number with one or two decimal places to the nearest whole number
Examples
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Recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals, eg 0.1 is the same as 1/10
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Fractions and Decimals 1
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MA2-7NA
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Patterns and Algebra
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MA2-8NA
Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values
- Patterns and Algebra 1
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Patterns and Algebra 2
- Use equivalent number sentences involving addition and subtraction to find unknown quantities (ACMNA083)
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Solve word problems by using number sentences involving multiplication or division where there is no remainder (ACMNA082)
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Complete number sentences involving multiplication and division by calculating missing numbers, eg find the missing numbers: 28 = ( ) x 7
Examples
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Represent and solve multiplication and division word problems using number sentences, eg 'I buy six pens and the total cost is $24. What is the cost of each pen?' can be represented as 6 x ( ) = 24 or 24 / 6 = ( )
Examples
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Complete number sentences involving multiplication and division by calculating missing numbers, eg find the missing numbers: 28 = ( ) x 7
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MA2-8NA
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Whole Numbers
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Measurement and Geometry
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Length
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MA2-9MG
Measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
- Length 1
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Length 2
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Use scaled instruments to measure and compare lengths (ACMMG084)
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Use a tape measure, ruler and trundle wheel to measure lengths and distances
Examples
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Select and use an appropriate unit to estimate, measure and compare lengths and distances
Examples
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Estimate and measure the perimeters of two-dimensional shapes
Examples
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Convert between metres and centimetres, and between centimetres and millimetres
Examples
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Use a tape measure, ruler and trundle wheel to measure lengths and distances
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Use scaled instruments to measure and compare lengths (ACMMG084)
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MA2-9MG
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Area
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MA2-10MG
Measures, records, compares and estimates areas using square centimetres and square metres
- Area 1
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Area 2
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Compare the areas of regular and irregular shapes by informal means (ACMMG087)
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Measure the areas of common two-dimensional shapes using a square-centimetre grid overlay, eg measure the area of a regular hexagon
Examples
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Measure the areas of irregular shapes using a square-centimetre grid overlay
Examples
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Compare two or more areas by informal means, eg using tiles or a square-centimetre grid overlay
Examples
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Measure the areas of common two-dimensional shapes using a square-centimetre grid overlay, eg measure the area of a regular hexagon
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Compare the areas of regular and irregular shapes by informal means (ACMMG087)
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MA2-10MG
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Volume and Capacity
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MA2-11MG
Measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
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MA2-11MG
- Mass
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Time
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MA2-13MG
Reads and records time in one-minute intervals and converts between hours, minutes and seconds
- Time 1
- Time 2
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MA2-13MG
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Three-Dimensional Space
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MA2-14MG
Makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
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Three-Dimensional Space 1
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Make models of three-dimensional objects and describe key features (ACMMG063)
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Identify and name three-dimensional objects as prisms (including cubes), pyramids, cylinders, cones and spheres
Examples
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Use a variety of materials to make models of prisms (including cubes), pyramids, cylinders, cones and spheres, given a three-dimensional object, picture or photograph to view
Examples
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Deconstruct everyday packages that are prisms (including cubes) to create nets, eg cut up tissue boxes
Examples
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Identify and name three-dimensional objects as prisms (including cubes), pyramids, cylinders, cones and spheres
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Make models of three-dimensional objects and describe key features (ACMMG063)
- Three-Dimensional Space 2
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Three-Dimensional Space 1
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MA2-14MG
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Two-Dimensional Space
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MA2-15MG
Manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
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Two-Dimensional Space 1
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Compare and describe features of two-dimensional shapes, including the special quadrilaterals
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Manipulate, compare and describe features of two-dimensional shapes, including the special quadrilaterals: parallelograms, rectangles, rhombuses, squares, trapeziums and kites
Examples
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Identify right angles in squares and rectangles
Examples
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Group parallelograms, rectangles, rhombuses, squares, trapeziums and kites using one or more attributes, eg quadrilaterals with parallel sides and right angles
Examples
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Construct regular and irregular two-dimensional shapes from a variety of materials, eg cardboard, straws, pattern blocks
Examples
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Manipulate, compare and describe features of two-dimensional shapes, including the special quadrilaterals: parallelograms, rectangles, rhombuses, squares, trapeziums and kites
- Identify symmetry in the environment (ACMMG066)
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Compare and describe features of two-dimensional shapes, including the special quadrilaterals
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Two-Dimensional Space 2
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Compare and describe two-dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088)
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Combine common two-dimensional shapes, including special quadrilaterals, to form other common shapes or designs, eg combine a rhombus and a triangle to form a trapezium
Examples
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Record the arrangements of common shapes used to create other shapes, and the arrangement of shapes formed after splitting a shape, in diagrammatic form, with and without the use of digital technologies
Examples
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Combine common two-dimensional shapes, including special quadrilaterals, to form other common shapes or designs, eg combine a rhombus and a triangle to form a trapezium
- Create symmetrical patterns, pictures and shapes, with and without the use of digital technologies (ACMMG091)
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Compare and describe two-dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies (ACMMG088)
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Two-Dimensional Space 1
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MA2-15MG
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Angles
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MA2-16MG
Identifies, describes, compares and classifies angles
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Angles 1
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Identify angles as measures of turn and compare angle sizes in everyday situations (ACMMG064)
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Describe informally an angle as the 'amount of turning' between two arms
Examples
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Compare angles directly by placing one angle on top of another and aligning one arm
Examples
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Identify 'perpendicular' lines in pictures, designs and the environment
Examples
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Use the term 'right angle' to describe the angle formed when perpendicular lines meet
Examples
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Describe informally an angle as the 'amount of turning' between two arms
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Identify angles as measures of turn and compare angle sizes in everyday situations (ACMMG064)
- Angles 2
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Angles 1
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MA2-16MG
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Position
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MA2-17MG
Uses simple maps and grids to represent position and follow routes, including using compass directions
- Position 1
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Position 2
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Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090)
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Determine the directions north, east, south and west when given one of the directions
Examples
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Use north, east, south and west to describe the location of a particular object in relation to another object on a simple map, given an arrow that represents north, eg 'The treasure is east of the cave'
Examples
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Use north-east, south-east, south-west and north-west to describe the location of an object on simple maps, given a compass rose, eg 'The tree is south-west of the sign'
Examples
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Determine the directions north, east, south and west when given one of the directions
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Use simple scales, legends and directions to interpret information contained in basic maps (ACMMG090)
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MA2-17MG
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Length
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Statistics and Probability
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Data
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MA2-18SP
Selects appropriate methods to collect data, and constructs, compares, interprets and evaluates data displays, including tables, picture graphs and column graphs
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MA2-18SP
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Chance
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MA2-19SP
Describes and compares chance events in social and experimental contexts
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MA2-19SP
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Data