Multiplication and Division 1
Outcomes
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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)