# STANDARD COMPUTATION FOR FRACTIONS YEARS 4-7 Students will

STANDARD COMPUTATION FOR FRACTIONS YEARS 4-7 Students will require a sound understanding of fractions and related concepts such as equivalence prior to working with these computations. This presentation provides the structure (on the slides) and language (teacher notes below the slides) for developing each set of rules for the standard computational strategies with fractions. The Guide presents the view that efficiency, simplicity and accuracy are, from Year 5, keys to using standard computations. There are different computational strategies available for each of the four processes and students, through exposure to different models, will eventually adopt strategies that best suit them. However, it is appropriate for the most efficient computation (i.e. standard computation) for each of the 4 processes to be a key element of any school mathematics policy. * A separate presentation is available for the standard written algorithms across years 2, 3, 4. * A separate presentation is available for the standard written algorithms across years 4, 5, 6, 7. STANDARD ALGORITHMS 1.Add Fractions With Like Denominators Slides 3-5

2.Add Fractions With Unlike Denominators Slides 6-7 3.Subtract Fractions With Like Denominators Slides 8-9 4.Add and Subtract Fractions With Like Denominators Slide 10 5.Subtract Fractions With Unlike Denominators Slides 11-12 6.Multiply Whole Numbers by a Fraction or Mixed Numeral Slides 13-14

7.Multiply a Fraction by a Fraction or a Mixed Numeral by a Fraction Slides 15-17 8.Divide a Whole Number by a Fraction or a Mixed Numeral by a Fraction Slides 18- 20 9.Divide a Fraction by a Fraction or Mixed Numeral; or a Mixed Numeral by a Fraction Slides 21-22 10.Find the Percentage of a Whole Slide 23 1 2 +

1 2 = 2 2 =1 3 3+2 1 + 2 4 4

1+2 4 4 2 = 5+ 3 4 =5 3 4

3 5 + 4 5 + 4 5 = 11 5

1 =2 5 1 + 1 = 1+ 2 = 3 4 LCD 2 4 4 4 1 + 1 + 1 = 4 + 3 + 6 = 13 = 1 1 3 4 2 12 12 12 12

LCD 4 6 - 1 6 = 3 6 =

1 2 3 3-2 3 4 3-2 4 4 2 2 4 =

1+ 1 4 =1 1 4 3 5 3 5 -

4 5 + 2 5 + 2 5 = 5 5

- 4 5 = 1 5 3 - 1 = 6-5 = 1 10 5 LCD 2 10 10

3 1 4 13 4 - 2 - 8 3

LCD 12 2 3 = = 39 - 24 12 = 15 12

=1 =1 3 12 1 4 2 x 31 3 9=6 1

2 x 84 1 3 12 = 3 1 x 1 2 2 = 1 4 1

1 3 x 2 4 3 2 1 = 1 2 2 2 25 x 3

4 12 x 2 = 8 5 31 5 = 3 1 5 12 1 2

12 2 x 1 = 24 20 5 20 8 10 5

10 x 82 = 1 25 20 1 2 2 4

20 x 2 51 = 8 3 x 32 5 23 = 9

10 21 1 2 3 5 x 3 2 1 = 15 2 1 =7

2 10% of 60 x 1 10 x 100 10 1 6 60 = 6

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