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Num umbe ber: r: Perc rcent ntages 6 Fluency Teaching Slides

For or the ful ull slides inc nclud uding ng reasoni oning ng, pl please visit: www.masterthecur urricul ulum um.co. o.uk uk 6 Fluency Teaching Slides

Fractions ions to o Percent ntages 6 Fluency Teaching Slides www.masterthecurriculum.co.uk

Fractions to Percentages Activity 1 What fraction on of of each hund undred squa quare is shaded? Write the fractions ons as pe percent ntages. ? What does the word ‘percent’ mean? 4 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 1 What fraction on of of each hund undred squa quare is shaded? Write the fractions ons as pe percent ntages. 74 20 ___ ___ = 74% = 20% 100 100 5 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 2 What fraction on of of each hund undred squa quare is shaded? Write the fractions ons as pe percent ntages. ? What does the word ‘percent’ mean? 6 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 2 What fraction on of of each hund undred squa quare is shaded? Write the fractions ons as pe percent ntages. 30 32 ___ ___ = 30% = 32% 100 100 7 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 2 Com ompl plete the tabl ble. Fraction on Percent ntage 1 __ 2 1 __ 4 1 __ 10 1 __ 5 8 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 2 Com ompl plete the tabl ble. Fraction on Percent ntage 1 __ 50% 2 1 __ 25% 4 1 __ 10% 10 1 __ 20% 5 9 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Activity 3 Fill in n the missing ng num numbe bers. 15 ___ = % ___ 57 % = 100 100 25 39 78 ___ = ___ ___ ___ = % % = 50 100 100 ? How do you convert the fraction to get the percentage? 1 Percentages - 6 masterthecurriculum.co.uk 0

Fractions to Percentages Activity 3 Fill in n the missing ng num numbe bers. 57 15 ___ = 15 % ___ 57 % = 100 100 50 25 39 78 ___ = ___ ___ ___ = 50 % % = 50 100 100 50 11 Percentages - 6 masterthecurriculum.co.uk

Fractions to Percentages Discuss What does the word ‘percent’ mean? How can you convert tenths to hundredths? Why is it easy to convert fiftieths to hundredths? What other fractions are easy to convert to percentages? % % % % % % % % % % % 12 Percentages - 6 masterthecurriculum.co.uk

Equiv quivalent nt FD FDP 6 Fluency Teaching Slides www.masterthecurriculum.co.uk

Equivalent FDP Activity 1 Com ompl plete the tabl ble. Percent ntage De Decimal Fraction on 25 ___ 0.25 25% 100 0.48 0.5 0.01 14 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Activity 1 Com ompl plete the tabl ble. Percent ntage De Decimal Fraction on 25 ___ 0.25 25% 100 48 ___ 48% 0.48 100 50 ___ 50% 0.5 100 1 ___ 1% 0.01 100 15 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Activity 2 Use <, > or or = to o com ompl plete the statement nts. 1 __ 0.74 30% 0.3 6 1 __ 0.28 0.50 80% 5 ? Which is easiest to convert? Decimals to fraction or decimals to percentage? 16 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Activity 2 Use <, > or or = to o com ompl plete the statement nts. 1 __ > > 0.74 30% 0.3 6 1 __ < < 0.28 0.50 80% 5 17 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Activity 3 Which of of these are equi quivalent nt to o 40%? 40 4 ___ ___ 0.04 100 100 8 ___ 0.4 50 18 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Activity 3 Which of of these are equi quivalent nt to o 40%? ü ü 40 4 ___ ___ 0.04 100 100 4% 4% ü ü 8 ___ 0.4 50 16% 19 Percentages - 6 masterthecurriculum.co.uk

Equivalent FDP Discuss How does converting a decimal to a fraction help you to convert it to a percentage? How do you convert a percentage to a decimal? Can you use a hundred square to represent your conversions? % % % % % % % % % % % 20 Percentages - 6 masterthecurriculum.co.uk

Or Order er FDP DP 6 Fluency Teaching Slides www.masterthecurriculum.co.uk

Order FDP Activity 1 Use <, > or or = to o com ompl plete the statement nts. 7 __ 62% 0.62 8 4 __ 0.38 74% 5 5 __ 49.5 30% 25 ? Can you answer the calculations mentally? 22 Percentages - 6 masterthecurriculum.co.uk

Order FDP Activity 1 Use <, > or or = to o com ompl plete the statement nts. 7 __ = < 62% 0.62 8 4 __ < < 0.38 74% 5 5 __ > < 49.5 30% 25 23 Percentages - 6 masterthecurriculum.co.uk

Order FDP Activity 2 Order from om smallest to o largest: 5 75 ___ ___ 0.43 10 100 3 ___ 0.22 50 24 Percentages - 6 masterthecurriculum.co.uk

Order FDP Activity 2 Order from om smallest to o largest: 75 3 5 ___ ___ ___ 0.43 0.22 100 50 10 6% 22% 43% 50% 75% 25 Percentages - 6 masterthecurriculum.co.uk

Order FDP Activity 3 Esin eats 20% of of the cake, Five friend nds share a cake. Es Zach eats 0.25 of of the cake, Tia eats 10% of of the cake, and nd Leanna nna eats 0.3 of of the cake. Write the amount ount each child eats as a fraction. on. 0.3 0. ? 20% 20% 0.25 0. 25 10% 10% ? Who eats the most? Who eats the least? Is there any left for their friend Malachi? 26 Percentages - 6

Order FDP Activity 3 Esin eats 20% of of the cake, Five friend nds share a cake. Es Zach eats 0.25 of of the cake, Tia eats 10% of of the cake, and nd Leanna nna eats 0.3 of of the cake. Write the amount ount each child eats as a fraction. on. 0. 0.3 ? 20% 20% 0.25 0. 25 10% 10% 20 25 10 30 15 There is is left for ___ or Malachi. i. ___ ___ ___ ___ 100 100 100 100 100 Leanna nna eats the mos ost, and nd Tia ia eats least. 27 Percentages - 6

Order FDP Discuss What do you notice about the fractions, decimals or percentages? Can you compare any straight away? What is the most efficient way to order them? Do you prefer to convert your numbers to decimals, fractions, or percentages? Why? If you put them in ascending order, what will it look like? If you put them in descending order, what will it look like? % % % % % % % % % % % 28 Percentages - 6 masterthecurriculum.co.uk

Percent ntage of of an n Amount ount (1) 6 Fluency Teaching Slides www.masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 1 Com ompl plete the sent ntenc nces. 50% is equivalent to ½ . To find 50% of an amount, you can divide by 2. 1 25% is equivalent to . To find 25% of an amount, divide by ____. __ 1 10% is equivalent to . To find 10% of an amount, divide by ____. __ 1 1% is equivalent to . To find 1% of an amount, divide by ____. __ 30 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 1 Com ompl plete the sent ntenc nces. 50% is equivalent to ½ . To find 50% of an amount, you can divide by 2. 1 4 25% is equivalent to . To find 25% of an amount, divide by ____. __ 4 1 10 10% is equivalent to . To find 10% of an amount, divide by ____. __ 10 1 100 1% is equivalent to . To find 1% of an amount, divide by ____. __ 100 31 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 2 Use the ba bar mod odels to o help p you ou com ompl plete the calcul ulations ons. ? ? 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 124 408 50% of 408 = 25% of 124 = ? What method do you use to solve the calculations faster? Do you use the bar models? 32 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 2 Use the ba bar mod odels to o help p you ou com ompl plete the calcul ulations ons. 408 ÷ 2 124 ÷ 4 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 124 408 50% of 408 = 204 25% of 124 = 31 33 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 3 Solve the following: 50% of 300 = 10% of 300 = 1% of 300 = 25% of 300 = 50% of 30 = 10% of 30 = 1% of 30 = 25% of 30 = 50% of 60 = 10% of 60 = 1% of 60 = 25% of 60 = 34 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Activity 3 Solve the following: 30 3 50% of 300 = 150 75 10% of 300 = 1% of 300 = 25% of 300 = 3 0.3 50% of 30 = 15 7.5 10% of 30 = 1% of 30 = 25% of 30 = 50% of 60 = 10% of 60 = 0.6 6 1% of 60 = 30 25% of 60 = 15 35 Percentages - 6 masterthecurriculum.co.uk

Percentage of an Amount (1) Discuss Why do you divide a quantity by 2 in order to find 50%? How do you calculate 10% of a number mentally? What’s the same and what’s different about 10% of 300 and 10% of 30? % % % % % % % % % % % 36 Percentages - 6 masterthecurriculum.co.uk

Percent ntage of of an n Amount ount (2) 6 Fluency Teaching Slides www.masterthecurriculum.co.uk