Scottish Survey of Literacy & Numeracy Support Material Second Level - Fractions Classroom version Produced by Education Scotland Transforming Transforming lives lives through through learning learning 16 Finding a fraction of an amount Strategies Strategy 1 Step 1: Strategies Step 2 Split the pizza into 5 equal parts: Now share 5400 equally between the 5 slices – 1080 on each slice. Strategies Strategies Remove one fifth to leave four fifths: Add 1080 + 1080 + 1080 + 1080 to find the answer. • Is one of the two strategies easier? • Might one strategy be better in one situation and the other for a different problem? Finding a fraction of an amount Strategy 400g Whole Amount 200g 100g 100g 50g 50g 50g 50g 100g 100g 50g 50g 50g 50g 200g 2 Halves 4 Quarters 8 Eighths Strategies Splitting into convenient groups of 4 Counting and shading 1,2,3 and leaving the 4th un-shaded. Strategies Consider though not only shading 3 out of every 4 circles, but also consider shading 3 out of 4 rows Simplifying fractions Suppose we want to simplify the fraction 2 8 Draw two identical rectangles. Split one into 8 equal parts and the other into 4 equal parts. Shade the same area in each: 2 1 8 4 What fraction of the first rectangle is shaded? What fraction of the second rectangle is shaded? Comparing fractions Comparing fractions Would laying the two rectangles over one another help? www.educationscotland.gov.uk