Multiplication and Division
Outcomes

MA36NA
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation

Multiplication and Division 1

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

Use mental and written strategies to multiply three and fourdigit numbers by onedigit numbers, including:multiplying the thousands, then the hundreds, then the tens and then the ones, using an area model, using the formal algorithm
Examples

Use mental and written strategies to multiply two and threedigit numbers by twodigit numbers, including: using an area model for twodigit by twodigit multiplication, factorising the numbers, using the extended form (long multiplication) of the formal
Examples

Apply appropriate mental and written strategies, and digital technologies, to solve multiplication word problems
Examples

Record the strategy used to solve multiplication word problems
Examples

Use mental and written strategies to multiply three and fourdigit numbers by onedigit numbers, including:multiplying the thousands, then the hundreds, then the tens and then the ones, using an area model, using the formal algorithm

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

Use the term 'quotient' to describe the result of a division calculation, eg 'The quotient when 30 is divided by 6 is 5'
Examples

Recognise and use different notations to indicate division
Examples

Use mental and written strategies to divide a number with three or more digits by a onedigit divisor where there is no remainder, including: dividing the hundreds, then the tens, and then the ones, using the formal algorithm
Examples

Use mental and written strategies to divide a number with three or more digits by a onedigit divisor where there is a remainder, including: dividing the tens and then the ones, using the formal algorithm
Examples

Apply appropriate mental and written strategies, and digital technologies, to solve division word problems
Examples

Use and interpret remainders in solutions to division problems, eg recognise when it is appropriate to round up an answer, such as 'How many 5seater cars are required to take 47 people to the beach?'
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Record the strategy used to solve division word problems
Examples

Use the term 'quotient' to describe the result of a division calculation, eg 'The quotient when 30 is divided by 6 is 5'
 Use estimation and rounding to check the reasonableness of answers to calculations (ACMNA099)

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

Multiplication and Division 2

Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers (ACMNA123)

Select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one and twodigit numbers
Examples

Select and use efficient mental and written strategies, and digital technologies, to divide whole numbers of up to four digits by a onedigit divisor, including where there is a remainder
Examples

Use mental strategies to multiply and divide numbers by 10, 100, 1000 and their multiples
Examples

Solve word problems involving multiplication and division, eg 'A recipe requires 3 cups of flour for 10 people. How many cups of flour are required for 40 people?'
Examples

Select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one and twodigit numbers

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

Investigate and establish the order of operations using reallife contexts, eg 'I buy six goldfish costing $10 each and two water plants costing $4 each. What is the total cost?'; this can be represented by the number sentence 6 x 10 + 2 x 4 but, to obtai
Examples

Apply the order of operations to perform calculations involving mixed operations and grouping symbols, without the use of digital technologies
Examples

Investigate and establish the order of operations using reallife contexts, eg 'I buy six goldfish costing $10 each and two water plants costing $4 each. What is the total cost?'; this can be represented by the number sentence 6 x 10 + 2 x 4 but, to obtai

Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers (ACMNA123)

Multiplication and Division 1