MATHEMATICS. Y4 Multiplication and Division 4350 Understand remainders Relate fractions to division. Equipment. MathSphere
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1 MATHEMATICS Y4 Multiplication and Division 4350 Understand remainders Relate fractions to division Paper, pencil, ruler Calculator Equipment MathSphere
2 4350 Understand remainders. Relate fractions to division Page 2 Concepts A number of different concepts are vital to understanding this module. 1.Completing a division sum by using a fraction rather than a remainder e.g = 5 remainder 1 = 5 ½ 2. Completing a division sum by using a decimal fraction rather than a remainder e.g = 5 remainder 1 = 5.5 This would only be done when dividing by, 5, 4 or 2 and children should be expected to know these simple conversions see page Interpreting a calculator display in the context of money. e.g. recognising that 3.3 on the calculator would mean Rounding decimals shown on a calculator display knowing that the number is between two whole numbers. e.g is between 43 and Knowing whether to round up or down when working out division problems. e.g. of rounding up: I have 25 cakes. Boxes hold cakes. How many boxes do I need to hold all the cakes? e.g. of rounding down I have 25 cakes. Boxes hold cakes. How many boxes can I fill with cakes?
3 4350 Understand remainders. Relate fractions to division Page 3 Remainders as a fraction Did you know that remainders can be written as fractions? 21 5 = 4 remainder 1 or It s quite easy to work out the remainder goes on the top line (numerator) and the bottom number (denominator) is the number you have divided by = 7 remainder 2 or = 4 remainder or = 3 remainder or = 5 remainder or = 9 remainder or = 6 remainder or = 9 remainder or 9
4 4350 Understand remainders. Relate fractions to division Page 4 Remainders as fractions Workout these division sums, giving the remainder as a fraction. e.g. 34 = 3 remainder 4 = 3 4 / = = = = = = = = = = = = = =
5 4350 Understand remainders. Relate fractions to division Page 5 Remainders as fractions Workout these division sums, giving the remainder as a fraction. e.g. 26 = 2 remainder 6 = 2 6 / = = = = = = = = = = = = = =
6 4350 Understand remainders. Relate fractions to division Page 6 CHART FOR CONVERTING FRACTIONS TO DECIMALS = 0.1 = 0.25 = 0.2 = 0.5 = 0.3 = 0.75 = 0.4 = 0.5 = = 0.6 = = 0.7 = 0.4 = 0.8 = = 0.9 = 0.8
7 4350 Understand remainders. Relate fractions to division Page 7 Dividing by remainders as decimals When dividing by ten it s easy to write any remainder as a decimal = 4 remainder 3 = 4 = 4.3 Fill in the boxes below = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = 8. 7 = remainder = =
8 4350 Understand remainders. Relate fractions to division Page 8 Dividing by remainders as decimals 7 67 = 6 remainder 7 = 6 = 6.7 Fill in the boxes below = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = =. 8 = remainder = =
9 4350 Understand remainders. Relate fractions to division Page 9 Dividing by 5 remainders as decimals = 7 remainder 1 = 7 = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = =. 3 5 = remainder = =
10 4350 Understand remainders. Relate fractions to division Page Dividing by 5 remainders as decimals = 5 remainder 2 = 5 = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = = = remainder = =. 7 5 = remainder = =
11 4350 Understand remainders. Relate fractions to division Page 11 Dividing remainders as decimals Complete these division sums, making the remainder a decimal = = = = = = = = = = = =
12 4350 Understand remainders. Relate fractions to division Page 12 Dividing remainders as decimals Complete these division sums, making the remainder a decimal = = = = = = = = = = = =
13 4350 Understand remainders. Relate fractions to division Page 13 Dividing money with a calculator You need a calculator for this page. Sometimes you have to interpret the display when working with money because we always write money to two decimal places. On the calculator 14 4 = 3.5 If this is money we would write the answer as 3.50 On these questions write down what the calculator displays and then how we would write the answer as money = or = or = or = or = or = or = or = or = or = or
14 4350 Understand remainders. Relate fractions to division Page 14 Dividing money with a calculator You need a calculator for this page. Sometimes you have to interpret the display when working with money because we always write money to two decimal places. On the calculator 346 = If this is money we would write the answer as On these questions write down what the calculator displays and then how we would write the answer as money = or = or = or = or = or = or = or = or = or = or
15 4350 Understand remainders. Relate fractions to division Page 15 Interpreting calculator displays Sometimes when you use a calculator to divide you get amazingly long answers = This is between 2 and 3 Write down the two whole numbers these calculator answers are between: e.g is which is between and is which is between and is which is between and is which is between and is which is between and is which is between and is which is between and is which is between and
16 4350 Understand remainders. Relate fractions to division Page 16 Rounding up or rounding down Decide whether these answers should be rounded up or rounded down. You will need to think about the question but you can use a calculator to work them out. 1. Easter eggs are packed in boxes of 24. How many boxes are needed to pack 250 eggs? children are going on a trip to Brighton. A coach seats 53 children. How many coaches are needed for the children? 3. I have 366 cans of coke. They are packed in cases of 24. How many whole cases have I got? 4. David has been saving for his family to go to Miami. He has saved Tickets cost 600 each. How many tickets can he buy? 5. I have made 265 cakes for a party. Boxes hold 25 cakes. How many boxes do I need to hold all the cakes? 6. A ferry to the Isle of Wight holds 230 people. How many trips would the ferry need to take to carry people to the island?
17 4350 Understand remainders. Relate fractions to division Page 17 Rounding up or rounding down Decide whether these answers should be rounded up or rounded down. You will need to think about the question but you can use a calculator to work them out. 1. A necklace is made up of 36 beads. How many necklaces can be made with 500 beads? 2. A car petrol tank holds 55 litres. How many times would you have to fill the tank to go miles? 3. I have 270 bottles of lemonade. They are packed in cases of 16. How many whole cases have I got? 4. Sumit has been saving for tickets to the theatre. She has saved 230. How many tickets can she buy if they cost 9.50 each? 5. I have cooked 188 sausages for a barbeque. Trays hold 12 sausages. How many trays do I need to hold all the sausages? 6. A cablecar to the top of the mountain holds 35 people. How many trips would the cablecar need to take to carry 800 people to the top of the mountain? 7. I have tins of beans. How many boxes holding 30 tins can I fill?
18 4350 Understand remainders. Relate fractions to division Page 18 Answers Page r 2 or 4 2 / r 2 or 3 2 / 3. 5 r 2 or 5 2 / r 1 or 9 1 / r 2 or 6 2 / r 3 or 9 3 / 9 Page ½ / / / / / / / / / / / / / 5 Page ½ / / / / / / / / / / / / / 5 Page r 6 = 3 6 / = r 2 = 5 2 / = r 7 = 4 7 / = r 1 = 9 1 / = r 3 = 2 3 / = r 5 = 1 5 / = r 8 = 6 8 / = r 7 = 7 / = 0.7 Page r 4 = 3 4 / = r 3 = 5 3 / = r 9 = 4 9 / = r 8 = 9 8 / = r 7 = 2 7 / = r 1 = 1 1 / = r 5 = 6 5 / = r 2 = 7 2 / = r 6 = 8 6 / = r 8 = 8 / = 0.8 Page r 1 = 9 1 / 5 = r 3 = 7 3 / 5 = r 4 = 4 / 5 = r 3 = 5 3 / 5 = r 3 = 12 3 / 5 = r 4 = 15 4 / 5 = r 2 = 3 2 / 5 = r 1 = 16 1 / 5 = r 3 = 18 3 / 5 = r 3 = 3 / 5 = 0.6 Page r 4 = 18 4 / 5 = r 1 = 17 1 / 5 = r 3 = 2 3 / 5 = r 1 = 15 1 / 5 = r 2 = 12 2 / 5 = r 1 = 4 1 / 5 = r 3 = 11 3 / 5 = r 4 = 7 4 / 5 = r 2 = 9 2 / 5 = r 2 = 1 2 / 5 = 1.4 Page Page Page or or or or or or or or or or 83.50
19 4350 Understand remainders. Relate fractions to division Page 19 Answers cont. Page or or or or or or or or or or Page and and and and and and and 87 Page Page
MathSphere MATHEMATICS. Equipment. Y6 Fractions 6365 Round decimals. Equivalence between decimals and fractions
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