Multiplication and Division
Outcomes
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MA3-6NA
Selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
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Multiplication and Division 1
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Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies (ACMNA100)
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Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers, including:multiplying the thousands, then the hundreds, then the tens and then the ones, using an area model, using the formal algorithm
Examples
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Use mental and written strategies to multiply two- and three-digit numbers by two-digit numbers, including: using an area model for two-digit by two-digit multiplication, factorising the numbers, using the extended form (long multiplication) of the formal
Examples
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Apply appropriate mental and written strategies, and digital technologies, to solve multiplication word problems
Examples
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Record the strategy used to solve multiplication word problems
Examples
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Use mental and written strategies to multiply three- and four-digit numbers by one-digit numbers, including:multiplying the thousands, then the hundreds, then the tens and then the ones, using an area model, using the formal algorithm
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Solve problems involving division by a one-digit number, including those that result in a remainder (ACMNA101)
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Use the term 'quotient' to describe the result of a division calculation, eg 'The quotient when 30 is divided by 6 is 5'
Examples
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Recognise and use different notations to indicate division
Examples
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Use mental and written strategies to divide a number with three or more digits by a one-digit divisor where there is no remainder, including: dividing the hundreds, then the tens, and then the ones, using the formal algorithm
Examples
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Use mental and written strategies to divide a number with three or more digits by a one-digit divisor where there is a remainder, including: dividing the tens and then the ones, using the formal algorithm
Examples
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Apply appropriate mental and written strategies, and digital technologies, to solve division word problems
Examples
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Use and interpret remainders in solutions to division problems, eg recognise when it is appropriate to round up an answer, such as 'How many 5-seater cars are required to take 47 people to the beach?'
Examples
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Record the strategy used to solve division word problems
Examples
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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)
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Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental and written strategies and appropriate digital technologies (ACMNA100)
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Multiplication and Division 2
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Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers (ACMNA123)
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Select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one- and two-digit numbers
Examples
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Select and use efficient mental and written strategies, and digital technologies, to divide whole numbers of up to four digits by a one-digit divisor, including where there is a remainder
Examples
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Use mental strategies to multiply and divide numbers by 10, 100, 1000 and their multiples
Examples
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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
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Select and use efficient mental and written strategies, and digital technologies, to multiply whole numbers of up to four digits by one- and two-digit numbers
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Explore the use of brackets and the order of operations to write number sentences (ACMNA134)
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Investigate and establish the order of operations using real-life 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
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Apply the order of operations to perform calculations involving mixed operations and grouping symbols, without the use of digital technologies
Examples
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Investigate and establish the order of operations using real-life 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
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Select and apply efficient mental and written strategies, and appropriate digital technologies, to solve problems involving multiplication and division with whole numbers (ACMNA123)
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Multiplication and Division 1