MA37NA
Compares, orders and calculates with fractions, decimals and percentages
Outcomes
 Fractions and Decimals 1

Fractions and Decimals 2

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)

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

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

Find equivalent fractions by redividing the whole, using diagrams and number lines
Examples

Record equivalent fractions using diagrams and numerals
Examples

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)

Add and subtract decimals, with and without the use of digital technologies, and use estimation and rounding to check the reasonableness of answers (ACMNA128)

Add and subtract decimals with the same number of decimal places, with and without the use of digital technologies
Play Activities 159Examples

Add and subtract decimals with a different number of decimal places, with and without the use of digital technologies
Examples

Round a number of up to three decimal places to the nearest whole number
Examples

Add and subtract decimals with the same number of decimal places, with and without the use of digital technologies

Multiply decimals by whole numbers and perform divisions by nonzero whole numbers where the results are terminating decimals, with and without the use of digital technologies (ACMNA129)

Use mental strategies to multiply simple decimals by singledigit numbers, eg 3.5 x 2
Examples

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

Divide decimals by a onedigit whole number where the result is a terminating decimal, eg 5.25 / 5 = 1.05
Examples

Solve word problems involving the multiplication and division of decimals, including those involving money, eg determine the 'best buy' for differentsized cartons of cans of soft drink
Examples

Use mental strategies to multiply simple decimals by singledigit numbers, eg 3.5 x 2
 Multiply and divide decimals by powers of 10 (ACMNA130)
 Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)