Stage 2
Outcomes

Numbers and Algebra

Whole Numbers

MA24NA
Applies place value to order, read and represent numbers of up to five digits

Whole Numbers 1

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

Represent numbers of up to four digits using objects, words, numerals and digital displays
Examples

Identify the number before and after a given two, three or fourdigit number
Examples

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

Arrange numbers of up to four digits in ascending and descending order
Examples

Represent numbers of up to four digits using objects, words, numerals and digital displays

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

Apply an understanding of place value and the role of zero to read, write and order numbers of up to four digits
Examples

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

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

Partition numbers of up to four digits in nonstandard forms, eg 3265 as 32 hundreds and 65 ones
Examples

Round numbers to the nearest ten, hundred or thousand
Examples

Apply an understanding of place value and the role of zero to read, write and order numbers of up to four digits

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

Whole Numbers 2

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

Apply an understanding of place value to read and write numbers of up to five digits
Examples

Arrange numbers of up to five digits in ascending and descending order
Examples

State the place value of digits in numbers of up to five digits
Examples

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

Partition numbers of up to five digits in nonstandard forms, eg 67 000 as 50 000 + 17 000
Examples

Round numbers to the nearest ten, hundred, thousand or ten thousand
Examples

Apply an understanding of place value to read and write numbers of up to five digits

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

Whole Numbers 1

MA24NA

Addition and Subtraction

MA25NA
Uses mental and written strategies for addition and subtraction involving two, three, four and fivedigit numbers

Addition and Subtraction 1

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

Add three or more singledigit numbers
Examples

Model and apply the associative property of addition to aid mental computation, eg 2 + 3 + 8 = 2 + 8 + 3 = 10 + 3 = 13
Examples

Apply known singledigit addition and subtraction facts to mental strategies for addition and subtraction of two, three and fourdigit numbers, including:the jump strategy on an empty number line, the split strategy, the compensation strategy, using pat
Play Activities 301Examples

Use concrete materials to model the addition and subtraction of two or more numbers, with and without trading, and record the method used
Examples

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

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

Add three or more singledigit 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)

Recall addition facts for singledigit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation (ACMNA055)
 Addition and Subtraction 2

Addition and Subtraction 1

MA25NA

Multiplication and Division

MA26NA
Uses mental and informal written strategies for multiplication and division

Multiplication and Division 1

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

Count by twos, threes, fives or tens using skip counting
Examples

Use mental strategies to recall multiplication facts for multiples of two, three, five and ten
Examples

Link multiplication and division facts using groups or arrays
Examples

Model and apply the commutative property of multiplication, eg 5 x 8 = 8 x 5
Examples

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)

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

Multiplication and Division 2

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

Count by fours, sixes, sevens, eights and nines using skip counting
Examples

Use the term 'product' to describe the result of multiplying two or more numbers, eg 'The product of 5 and 6 is 30'
Examples

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

Recall multiplication facts up to 10 x 10, including zero facts, with automaticity
Examples

Find 'multiples' for a given whole number, eg the multiples of 4 are 4, 8, 12, 16, ...
Examples

Relate multiplication facts to their inverse division facts, eg 6 x 4 = 24, so 24 / 6 = 4 and 24 / 4 = 6
Examples

Determine 'factors' for a given whole number, eg the factors of 12 are 1, 2, 3, 4, 6, 12
Examples

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

Count by fours, sixes, sevens, eights and nines using skip counting

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

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

Use mental and informal written strategies to multiply a twodigit number by a onedigit 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

Use mental strategies to divide a twodigit number by a onedigit 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

Select and use a variety of mental and informal written strategies to solve multiplication and division problems
Examples

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

Use mental strategies and informal recording methods for division with remainders

Model division, including where the answer involves a remainder, using concrete materials
Examples

Use mental strategies to divide a twodigit number by a onedigit 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

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

Model division, including where the answer involves a remainder, using concrete materials

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

Multiplication and Division 1

MA26NA

Fractions and Decimals

MA27NA
Represents, models and compares commonly used fractions and decimals

Fractions and Decimals 1

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

Model fractions with denominators of 2, 3, 4, 5 and 8 of whole objects, shapes and collections using concrete materials and diagrams
Examples

Name fractions up to one whole, eg 1/5, 2/5, 3/5, 4/5, 5/5
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Interpret the denominator as the number of equal parts a whole has been divided into
Examples

Interpret the numerator as the number of equal fractional parts, eg 3/8 means 3 equal parts of 8
Examples

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)

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

Fractions and Decimals 2
 Investigate equivalent fractions used in contexts (ACMNA077)

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

Recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals, eg 0.1 is the same as 1/10
Examples

State the place value of digits in decimal numbers of up to two decimal places
Examples

Round a number with one or two decimal places to the nearest whole number
Examples

Recognise and apply decimal notation to express whole numbers, tenths and hundredths as decimals, eg 0.1 is the same as 1/10

Fractions and Decimals 1

MA27NA

Patterns and Algebra

MA28NA
Generalises properties of odd and even numbers, generates number patterns, and completes simple number sentences by calculating missing values

MA28NA

Whole Numbers