Fractions and Decimals 2
Outcomes
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Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)
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Model, compare and represent fractions with denominator of 2, 3, 4, 5, 6, 8, 10, 12 and 100 of a whole object, a whole shape and a collection of objects
Examples
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Compare and order simple fractions with related denominators using strategies such as diagrams, the number line, or equivalent fractions, eg write 3/5, 3/10, 1 1/10, 4/5 and 7/10 in ascending order
Examples
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Find equivalent fractions by re-dividing the whole, using diagrams and number lines
Examples
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Record equivalent fractions using diagrams and numerals
Examples
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Model, compare and represent fractions with denominator of 2, 3, 4, 5, 6, 8, 10, 12 and 100 of a whole object, a whole shape and a collection of objects
- Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)
- Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies (ACMNA127)
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Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)
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Add and subtract decimals with the same number of decimal places, with and without the use of digital technologies
Play Activities 159Examples
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Add and subtract decimals with a different number of decimal places, with and without the use of digital technologies
Examples
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Round a number of up to three decimal places to the nearest whole number
Examples
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Add and subtract decimals with the same number of decimal places, with and without the use of digital technologies
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Multiply decimals by whole numbers and perform divisions by non-zero whole numbers where the results are terminating decimals, with and without the use of digital technologies (ACMNA129)
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Use mental strategies to multiply simple decimals by single-digit numbers, eg 3.5 x 2
Examples
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Multiply decimals of up to three decimal places by whole numbers of up to two digits, with and without the use of digital technologies, eg 'I measured three desks. Each desk was 1.25 m in length, so the total length is 3 x 1.25 = 3.75 m'
Examples
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Divide decimals by a one-digit whole number where the result is a terminating decimal, eg 5.25 / 5 = 1.05
Examples
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Solve word problems involving the multiplication and division of decimals, including those involving money, eg determine the 'best buy' for different-sized cartons of cans of soft drink
Examples
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Use mental strategies to multiply simple decimals by single-digit numbers, eg 3.5 x 2
- Multiply and divide decimals by powers of 10 (ACMNA130)
- Make connections between equivalent fractions, decimals and percentages (ACMNA131)