P R G B O A R D P R G B O A R D G B O A R D P R PAR 3 P R G B O A R D P R G B O A R D LIPLYING AND DIVIDING BY 10 AND 100
NN pringboard PAR 3 LAD LON nit LAD LON OAL I 0 OBJCIV ultiply and divide whole numbers by 10 and 100 and understand the effect VOCABLARY digit, decimal point, multiply, times, divide, how many... in? thousands, hundreds, tens, ones, tenths, hundredths zero RORC digit cards; place value cards (see resource sheet) HOWORK Find out how much change two adults in your house have in their purses or pockets. Write down the amount. How much would they have if they multiplied that amount by 10?...by 100? ARR 10 Give out three digit cards and a card with a decimal point on it to each child. Children are to make the biggest number with two decimal places they can. Ask them to read aloud their numbers. Ask them to form a line at the front so that the numbers they have made are in sequence, starting with the largest. hey are now to make the smallest number they can with two decimal places using the cards they already have. Which digits stayed the same? Which digits needed to be changed? KY QION Where should the biggest digit go to make the biggest number? Where should the biggest digit go to make the smallest number? AIN ACIVIY 30-3 Ask the group to chant the 10 times-table. Write 3 10 on the board. What do you think the answer is going to be? How did you work this out? Demonstrate on the board, using hundreds, tens and units boxes, how the digits move to the left. Write in 3 and then 30. Repeat for other two-digit numbers multiplied by 10. Ask the group to chant the 100 times-table. Can they go through to 20 100? Write 3 100 on the board. What do you think the answer is going to be? How did you work this out? Repeat for other two-digit numbers multiplied by 100. National Numeracy trategy CROWN COPYRIGH 0.00 Write 100 00 on the board. Ask the group to read this aloud. How many hundreds make five hundred? Remind the children that another way of writing this number statement is 00 100. PAG 72
NN pringboard PAR 3 LAD LON In pairs, ask the children to make 300 with their place value cards. Ask them to divide this number by 10, holding up the place value cards that give the answer. Give them numbers that are a multiple of 100, and get them to divide these either by 10 or by 100. xtend to numbers such as 000. Introduce the children to Activity sheet.1. ake sure that they understand the instructions. KY QION What happens when we multiply a number by 10? What happens when we multiply a number by 100? What happens when we divide a number by 10? What happens when we divide a number by 100? PLNARY -10 Consider the key questions above. Now show the children a 0p coin. How much would ten of these be worth? stablish that they would have 00p or. If they had 3p, how much would they have if they multiplied this amount by 10? What if they multiplied it by 100? Illustrate with place value cards. OHING O RBR ultiplying by 10 moves a digit one place to the left; dividing by 10 moves a digit one place to the right. National Numeracy trategy CROWN COPYRIGH 0.00 PAG 73
NN pringboard PAR 3 FOLLOW-P ION nit FOLLOW-P ION OAL I 4 OBJCIV ultiply and divide whole numbers by 10 and 100 and understand the effect VOCABLARY multiply, times, divide, how many... in? thousands, hundreds, tens, ones, tenths, hundredths RORC cards with numbers in the range 10 20; coins 1, 10p, 1p; place value cards; cards with numbers with two decimal places ARR -10 Ask the children to multiply one-digit and two-digit numbers by 10 and 100. Play Bingo. ach child writes down five multiples of 10 between 100 and 200 inclusive, such as 120 or 180. se cards with the number range 10 20, shuffled and face down. urn over one at a time. ay: multiply this number by ten. Any child with the answer crosses it out. he first child to cross out all five numbers shouts Bingo! Check results with the class. KY QION What happens when we multiply a number by 10? What happens when we multiply a number by 100? AIN ACIVIY 2-30 Ask a child to tell you the amount of change they wrote down for their homework. How do we multiply amounts of money by 10 and 100? Demonstrate by using coins, concentrating on each digit separately. For 3.7, say, show that 3 multiplied by 10 is 30, that 0p multiplied by 10 is and that 7p multiplied by 10 is 70p. Add the totals together, and ask the children to demonstrate what has happened to each digit using place value cards. Repeat, showing children how they can multiply an amount by 100. In pairs, ask the children to multiply three more amounts you put on the board by 10 and 100, and to use coins and the place value cards to demonstrate each. National Numeracy trategy CROWN COPYRIGH 0.00 Introduce Activity sheet.2, and make sure that all the children understand the instructions. PAG 74
NN pringboard PAR 3 FOLLOW-P ION KY QION What happens to each digit in an amount of money when we multiply it by 10? What happens to each digit when we multiply it by 100? PLNARY 10 Consider the key questions above. Give out place value cards to each child and a number with two decimal places on a card. he children multiply their number by either 10 or 100 and write down the answer. In turn, the children show their answers. he others must say whether they multiplied by 10 or 100. National Numeracy trategy CROWN COPYRIGH 0.00 PAG 7
NN pringboard PAR 3 HOWORK Name... Date... Dear Parents and Carers, In our lesson this week we have been learning about dividing and multiplying numbers. Will you help your child to complete this homework and return it to school for the follow-up session later this week? What your child has to do is ask two people in your house how much loose change they have in their purse or their pocket, and help them count it out. he next step is to multiply each of the amounts by ten, and then by 100, and write the results in the spaces provided below. hank you for your help. Have fun! Your child s pringboard teacher First person econd person Amount 10 100.................. National Numeracy trategy CROWN COPYRIGH 09.00 PAG 7
NN pringboard PAR 3 Name... Activity sheet ultiply these numbers by 10..1 hen do the other exercises. 100 Date 2 10 138 89 2... 10 10 4 80 7 100 40 10 80 30 1 120 National Numeracy trategy CROWN COPYRIGH 09.00 Look at these patterns 1 1 1 1 10 10 1 100 100 00 1 00 00 10 0 00 100 100 00 300 800 900 100 Carry on these patterns in the same way. 9 1 2 1 700 1 900 1............ PAG 77
NN pringboard PAR 3 Name... Date... Activity sheet.2 As you move down the table below, the amounts of money are multiplied by 10. As you move up, the amounts are divided by ten. Fill in the gaps. 0.01 0.02 0.0 0.09 0.10 0.30 0.0 0.80 1 2 3 4 7 9 10 40 0 70 80 200 300 00 Now fill in the gaps on this chart in the same way. ultiply by 10 2.0 3.2 37 180 8 Divide by 10 National Numeracy trategy CROWN COPYRIGH 09.00 PAG 78
NN pringboard PAR 3 Name... Activity sheet.3 Date... ultiplication. Fill in the boxes. 100 00 7 70 8 100 4 400 100 900 100 3000 0 00 20 2000 Division. Fill in the boxes. When you multiply by 10 or 100, move the digits to the left 40 10 100 200 3210 321 10 2 8200 82 10 1 IDA When you divide by 10 or 100, move the digits to the right National Numeracy trategy CROWN COPYRIGH 09.00 How many times larger than 87 is 870?... 10 tins of dog food cost 4.0. One tin costs... How many 10p coins in 1?... How many 10p coins in 10?... PAG 79
NN pringboard PAR 3 RORC H nit RORC H 1 1 1 2 2 3 3 4 4 7 7 8 8 9 9 9 8 7 4 3 2 National Numeracy trategy CROWN COPYRIGH 0.00 PAG 80