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
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MA2-8NA
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Whole Numbers