Dividing a Whole Number by a Proper Fraction Hundredths Objective: Materials: To divide a whole number by a proper fraction • ‘Pizzas’ in quarters and thirds (Template 6A1.5) • Number lines in quarters and thirds (Template 6A1.6) • Scissors Thinking Skill: Analysing parts and wholes Vocabulary: Whole number, proper fraction, divide, repeated subtraction 3 1 4 0 2 2 4 In the division of fractions, pupils may invert the dividend instead of the divisor. Lesson: • Through the use of the ‘pizzas’ and number line templates (Templates 6A1.5 and 6A1.6), act out the contexts shown on CB p.17. Help pupils to link the division of a whole number by a proper fraction as repeated subtraction on the number line by counting backwards on the number line. 1 =4 4 1 3 4 Learning Difficulty: Primary 6 CD-ROM: Digital Coursebook 6A, Chapter 1 Tom cut a pizza into quarters. 4 Class discussion IT: Dividing a Whole Number by a Proper Fraction 1 Classroom Organisation: 1 from 4 one whole four times! I can subtract 1 There are 4 quarters in one whole. Tom cut 2 pizzas into one-thirds. 2 6 0 5 1 3 4 2 3 3 1 2 1 1 3 1 =6 3 1 1 2 3 1 from 3 2 wholes six times! I can subtract 2 There are 6 one-thirds in 2 wholes. 17 © 2009 Marshall Cavendish International (Singapore) Pte Ltd (M)WorksTG6ATB01.indd 21 Maths Works! Teacher’s Guide 6A 21 11/18/08 1:57:42 PM Template 6A1.5: ‘Pizzas’ in quarters and thirds 40 Maths Works! Teacher’s Guide 6A (M)WorksTG6ATB01.indd 40 © 2009 Marshall Cavendish International (Singapore) Pte Ltd 11/18/08 1:58:04 PM 224 Maths © 2008Works! Marshall Teacher’s Cavendish Guide International 6A (Singapore) Pte Ltd (M)WorksTG6AAB04.indd 224 © 2009 Marshall Cavendish Maths International Works! (Singapore) Teacher’s Guide Pte Ltd 6A 11/12/08 7:34:20 PM 40 2 1 Date : 19% b) 99% 4 90% e) Percentage 5% d) 4 60% 90% c) 75% 75% 60% b) 40% 25% 25% a) 5% Choose from the percentages in the box to estimate the length of the shaded part of each line. The first one has been done for you. a) What percentage of each figure is shaded? I C a n Do 4 8 ___ 5 10 8% 80% 8 ____ 5 100 100 10 10 5 100% d) ___ 88 5 88% b) ____ 20 5 20% 4 5 a) ___ 5 2% 4 5 b) ____ Express each fraction as a percentage. 20 200 4 d) 80% 5 __ 1 5% 5 ___ c) 5 b) 42% 5 100 7 7% 5 ____ a) Express each percentage as a fraction in its simplest form. c) a) Express each fraction as a percentage. Percentage 5 4 3 41