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1 3rd Grade Division 20151103 www.njctl.org 2 Table of Contents • • • • • • • • • • • • • Arrays and Pictures Using Multiplication Dividing by 1 Dividing by 2 Dividing by 3 Dividing by 4 Dividing by 5 Dividing by 6 Dividing by 7 Dividing by 8 Dividing by 9 Dividing by 10 Division Word Problems Click on a topic to go to that section. 3 Arrays and Picture Models Return to Table of Contents 4 Division Division means separating a number into equal groups. The 12 apples were divided equally into 4 baskets. How many a pples are in each basket? How would you write the division problem? 5 Division To find out 12 ÷ 6, you can draw 6 plates and put the one egg at a time on each plate until all 12 eggs are on plates. Teacher Notes 12 ÷ 6 = 6 Division 6 ÷ 2 = Teacher Notes To find out 6 ÷ 2, you can give each toy a cupcake until their are no more cupcakes. How many cupcakes does each toy get? 7 Arrays You can use an array to solve a division problem. Divide the 20 stars into an array with 4 rows. Circle each column. How many stars are in each column? 8 Does the picture show 14 ÷ 2? Yes No x x x x x x x x x x x x x x Answer 1 9 What number sentence matches the picture? A 10 ÷ 5 = 2 B 12 ÷ 2 = 6 C Neither A or B Answer 2 10 How many equal groups can be made if there were 12 eggs and I put 3 eggs in each group? Answer 3 11 How many equal groups can be made if there were 15 buttons and I circled groups of 5 buttons? Answer 4 12 What is 18÷3? You may use a picture to help you. Answer 5 13 Using Multiplication Return to Table of Contents 14 Key Terms Divisor The number that divides another number DividendThe number being divided . The dividend is typically the largest number in your fact family. QuotientThe answer to a division problem Division problems can be shown in three ways. Can you point out the dividend, divisor, and quotient in each problem below? 8 2 16 16 ÷ 2 = 8 16 / 2 = 8 15 Using Multiplication to Divide Division is the inverse (opposite) of multiplication. 40 ÷ 5 =? 2 1 To find the answer to a division problem on a chart, start at the divisor on left column. Follow the row to the right to find dividend. Go up to find the quotient (answer). 16 Using Multiplication to Divide Use your multiplication facts. To figure out 40 ÷ 5 = _____ _____ X 5 = 40 Write the question backwards and multiply. 17 This is a family fact triangle for 5, 8, & 40. Below are the family of facts for 5, 8, & 40. 0 1 2 3 4 5 6 8 7 9 40 5 8 40 8 5 _____ X _____ = _____ 0 4 _____ 8 5 _____ = _____ 40 8 5 _____ X _____ = _____ 0 4 _____ 5 8 _____ = _____ 18 Complete the family of facts using the fact triangle. Then complete the fact family template below. 1 2 3 4 5 6 7 8 9 Teacher Notes 0 32 8 _____ X _____ = _____ _____ _____ = _____ _____ X _____ = _____ _____ _____ = _____ 19 Complete the family of facts using the fact triangle. Then complete the fact family template below. 1 2 3 4 5 6 7 8 9 27 Teacher Notes 0 3 _____ X _____ = _____ _____ _____ = _____ _____ X _____ = _____ _____ _____ = _____ 20 Complete the family of facts using the fact triangle. Then complete the fact family template below. 1 2 3 4 5 6 8 7 9 63 Teacher Notes 0 9 _____ X _____ = _____ _____ _____ = _____ _____ X _____ = _____ _____ _____ = _____ 21 Complete the family of facts using the fact triangle. Then complete the fact family template below. 1 2 3 4 5 6 7 8 9 54 Teacher Notes 0 _____ X _____ = _____ _____ _____ = _____ _____ X _____ = _____ _____ _____ = _____ 22 Complete the family of facts using the fact triangle. Then complete the fact family template below. 1 2 3 4 5 6 7 8 9 With a partner, create your own fact triangle using a common math fact you already know! Teacher Notes 0 _____ X _____ = _____ _____ _____ = _____ _____ X _____ = _____ _____ _____ = _____ 23 Click here to play a division game. 24 Does 45 ÷ 9 = 5? Yes No Answer 6 25 Which number sentence does not belong? A 60 ÷ 6 = 10 B 60 x 6 = 10 C 60 ÷ 10 = 6 D 6 x 10 = 60 Answer 7 26 32 8 = ÷ Answer 8 27 56 ÷ 7 = 7 Yes No Answer 9 28 21 ? = 7 Answer 10 29 ? = 21 7 Answer 11 30 Division Facts 31 Dividing by 1 Return to Table of Contents 32 Dividing By 1 During their class trip all 7 of Miss Carter's students have to go on 1 bus. How many students will be on the bus? What is the division problem? What is the answer, including the unit? 7 kids click 33 Dividing By 1 If you have 10 faces and place them in 1 row, how many faces would be in the row? 10 1 Label your array. 10 ÷ 1 = 10 faces 34 Dividing By 1 You have learned that division is the inverse (opposite) of multiplication. 4 ÷ 1 = ? 1 2 To find the answer to the division problem on a chart, start at the divisor on left column. Follow the row to the right to find dividend. Go up to find the quotient (answer). 35 Dividing By 1 What could you say is a rule when dividing any number by 1? Click Every time I divide by 1, the answer is other number. Click Every time I divide by 1, the quotient is equal to the dividend. 36 Dividing By 1 When dividing a number by 1, the quotient (answer) is the original number. Now that you know that rule, fill in the table below. IN OUT 7 12 29 16 40 Rule: Divide by 1 37 Find the matching pairs in the space below. 38 Click here to play a game to practice dividing by 3. 39 When you divide by one, the quotient (answer) is... A always 1. B always the dividend (number that is being divided). C Neither A nor B. Answer 12 Divisor 7 1 = ? Dividend Quotient 40 8 1 = A 1 B 7 C 8 D 0 Answer 13 41 14 Answer 2 2 42 15 Answer 5 = 5 43 Mr. Galloway has 20 erasers to pass out. But, he only has one student. How many erasers did each student receive? Answer 16 44 Dividing by 2 Return to Table of Contents 45 Dividing By 2 Teacher Notes Grandma sent $18 to Ana and her sister. The girls had to share the money. How much money did each girl get? What is the division problem? 46 Thomas and Reese collected 13 rocks. They decided to split the rocks between them when it was time to go home. How many rocks did each boy get? Teacher Notes Dividing By 2 What is the division problem? How is this problem different from the last? 47 Dividing By 2 All even number are divisible by 2. That means all numbers with a 0, 2, 4, 6, 8 in the ones place can be divided by 2. IN OUT 8 12 10 16 7 Rule: Divide by 2 48 49 Click to play a game where you can practice dividing by 2. 50 All numbers that are divisible by two are... A Even B Odd C Have a 2 in the ones place Answer 17 51 15 ÷ 2 = 7 True False Answer 18 52 12 2 = A 6 B 10 C 24 D 14 Answer 19 53 10 / _____ = 5 Answer 20 54 Drew was asked to divide the Responders into two baskets. If there were 24 Responders, how many did Drew put in each basket? Answer 21 55 Henry went to the store and bought 16 pieces of candy for him and his brother. How many pieces of candy did each boy get? Answer 22 56 Dividing by 3 Return to Table of Contents 57 Granny Potter made 12 hats to give to her 3 cats. Help Granny give away all 12 hats to her cats. Tabby Scratch Teacher Notes Dividing by 3 Blue What is the division problem? 58 Dividing by 3 If you add the digits of a number together and it equals a number that is divisible by 3, then that number is divisible by 3. For example, 36 ÷ 3 = 3 + 6 = 9 Since 9 is divisible by 3, then 36 is divisible by 3. IN OUT 3 12 6 30 9 Rule: Divide by 3 59 60 Click here to play a game to practice division facts. 61 What is the sum of the digits in the number 27? Answer 23 62 Is 27 divisible by 3? Yes No Answer 24 63 What is the sum of the digits in the number 23? Answer 25 64 The library teacher wants to rearrange 23 books onto 3 shelves. Will she be able to evenly divide them on the shelves? Yes No Answer 26 65 What is the sum of the digits in the number 18? Answer 27 66 18 ÷ 3 = _____ Answer 28 67 Three friends pick flowers and put them together. They have 15 and want to share them equally. How many will each friend get? Answer 29 68 30 Pablo buys 6 packages of car stamps. Each package has 6 car stamps. Pablo shares these car stamps equally among himself and 3 friends. stamps Answer What is the total number of car stamps that Pablo and each of his 3 friends receive? From PARCC EOY sample test #11 69 Dividing by 4 Return to Table of Contents 70 Dividing by 4 Teacher Notes Farmer Matt was trying to finish his chores for the day. He needs to separate the horses into 4 groups to feed them hay. Can you help him move his horses to their hay? What is the division problem? 71 Dividing by 4 To divide a number by 4, divide the number by 2. Then divide it by 2 again. IN OUT 8 12 10 16 7 Rule: Divide by 4 72 Click here to play a game to practice dividing by 4. 73 31 Is 28 divisible by 4? Yes Answer No 74 32 Is 14 divisible by 4? Yes Answer No 75 16 isible by 4 Pull to check if the numbers above each box are divisible by 4. Pull 33 visible by 4 Pull 49 visible by 4 Pull 20 visible by 4 Pull 8 visible by 4 Pull 76 33 Is 25 divisible by 4? Yes Answer No 77 Answer 34 4 32 = ÷ 78 35 36 calculators get donated to a school. They are Answer going to be evenly shared between 4 classrooms. How many calculators will each classroom get? 79 Answer 36 Sammy is sorting candy for his friends. He has 36 pieces of candy to give away. If he wants each friend to have 4 pieces of candy, how many friends can he give candy to? 80 37 Jane bought 24 light bulbs. The light bulbs come in packs of 4. How many packs of light bulbs did Jane buy? Answer light bulbs From PARCC PBA sample test #10 81 Dividing by 5 Return to Table of Contents 82 Dividing by 5 Teacher Notes Barney had $.40 in coins. If the coins were all nickels, how many nickels did Barney have? What is the division problem? What is the answer? Remember your units. 83 Dividing by 5 Teacher Notes While playing a game of memory, Kelly placed her 16 cards in 5 rows. How many cards were in each row? What is the division problem? How is this problem different than the last? 84 Dividing by 5 What is a rule for dividing by 5? click to reveal Numbers with a 0 or 5 in the ones place are divisible by 5. 85 Dividing by 5 Numbers with a 0 or 5 in the ones place are divisible by 5. IN OUT 10 25 10 30 7 Rule: Divide by 5 86 87 Click here to play a game to practice dividing by 5. 88 38 When dividing by 5, the number in the ones place A 0 B 5 C both A and B D neither A nor B Answer should be... 89 39 46 is divisible by 5. False Answer True 90 40 Tyler has 50 cupcakes and is able to place them evenly into rows of 5. True Answer False 91 A 10 B 20 C 3 Answer 41 15 ÷ 5 = 92 42 Bubba had 35 shrimp. He puts 5 shrimp on each of Answer his guest's plates. How many guests did Bubba have? 93 Answer 43 Ashley has $0.55 in coins. If all of the coins are nickels, how many nickels does she have? 94 Answer ÷ 44 45 5 = From PARCC EOY sample test #31 95 Dividing by 6 Return to Table of Contents 96 Dividing by 6 The photographer was making a photo album book for her client. She can fit 6 photos on a page of the book. There are 18 photos in her camera bag mess. Help her organize her photos onto the photo pages. How many pages will she fill up? Teacher Notes photo page What is the division problem? 97 Dividing by 6 If a number is divisible by 2 and 3, then the number is divisible by 6. IN OUT 18 24 10 30 7 Rule: Divide by 6 98 Dividing by 6 Move each number to where it belongs in the Venn Diagram. Divisible by 2 Divisible by 3 Divisible by 6 17 4 21 6 20 8 9 13 12 18 15 99 Click here to play a game to practice dividing by 6. 100 45 What is the sum of the digits in the Answer number 36? 101 46 Is 36 divisible by 6? Yes Answer No 102 47 What is the sum of the digits in the Answer number 46? 103 48 Is 46 divisible by 6? Yes Answer No 104 49 Your class is arranging 24 chairs into 6 Answer rows. How many chairs will be in each row? 105 Dividing by 7 Return to Table of Contents 106 Dividing by 7 Teacher Notes Darla is trying to eat healthier. Every morning she makes a fruit smoothie at breakfast. Remember, there are 7 days in a week. If she has made 21 smoothies in a row, how many weeks has she been on her healthy eating plan? 107 Dividing by 7 Complete the table below. IN OUT 14 21 10 42 7 Rule: Divide by 7 108 16 visible by 7 Pull to check if the numbers above each box are divisible by 7. Pull 21 sible by 7 Pull 49 visible by 7 Pull 20 visible by 7 Pull 70 visible by 7 Pull 109 Click here to play a game to practice dividing by 7. 110 50 What number goes in the inputoutput IN OUT ? 2 28 6 Answer table where the question mark is? 49 9 Rule: Divide by 7 111 51 What number goes in the inputoutput table where the question mark is? IN OUT ? 28 6 Answer 2 49 9 Rule: Divide by 7 112 52 What number goes in the inputoutput table where the question mark is? IN OUT 28 ? 6 Answer 2 49 9 Rule: Divide by 7 113 53 What number goes in the inputoutput table where the question mark is? IN OUT 28 6 Answer 2 ? 49 9 Rule: Divide by 7 114 54 What number goes in the inputoutput table where the question mark is? OUT 2 28 6 Answer IN 49 ? 9 Rule: Divide by 7 115 55 Which equations are true? Select the three correct answers. B 3 x 4 = 12 ÷ C 10 5 = 5 Answer A 7 7 = 0 ÷ D 16 2 = 8 ÷ E 0 x 6 = 0 From PARCC PBA sample test #2 116 Answer 56 42 7 = ÷ From PARCC EOY sample test #16 117 Dividing by 8 Return to Table of Contents 118 Dividing by 8 Teacher Notes The pet store needs to reorganize its fish into new aquariums. Each new aquarium can only hold 8 fish. Can you help them move their 24 fish? What is the division problem? 119 Dividing by 8 Complete the table below. A number is divisible by 8 if you can divide it by 2 a total of 3 times. For example, 24 / 2 = 12 12 / 2 = 6 6 / 2 = 3. We were able to divide it by 2 a total of 3 times. So, 24 / 8 = 3 IN OUT 24 16 10 48 8 Rule: Divide by 8 120 121 Click here to play a game to practice dividing by 8. 122 57 What number goes in the inputoutput IN OUT ? 2 40 4 Answer table where the question mark is? 72 7 Rule: Divide by 8 123 58 What number goes in the inputoutput table where the question mark is? IN OUT ? 40 4 Answer 2 72 7 Rule: Divide by 8 124 59 What number goes in the inputoutput table where the question mark is? OUT 2 40 ? 4 Answer IN 72 7 Rule: Divide by 8 125 60 What number goes in the inputoutput table where the question mark is? IN OUT 40 4 Answer 2 ? 72 7 Rule: Divide by 8 126 61 What number goes in the inputoutput table where the question mark is? OUT 2 40 Answer IN 4 72 ? 7 Rule: Divide by 8 127 Answer ÷ 62 56 8 = From PARCC EOY sample test #10 128 Answer 63 64 = 8 ÷ From PARCC EOY sample test #20 129 Dividing by 9 Return to Table of Contents 130 Dividing by 9 Teacher Notes Uncle Eddy has 9 nieces and nephews. He has 18 gifts to give away. How many gifts will each niece or nephew receive? What is the division problem? 131 Dividing by 9 If you add the digits of a number together and it equals a number that is divisible by 9, then that number is divisible by 9. For example, 36 ÷ 3 = 3 + 6 = 9 Since 9 is the sum, then 36 is divisible by 9. IN OUT 27 18 10 45 7 Rule: Divide by 9 132 Dividing by 9 Decide if each number is divisible by 9. Pop each balloon to see if you are correct. 18 Yes 36 Yes 29 No 45 Yes 55 63 54 81 No Yes Yes Yes 133 Click here to play a game to practice dividing by 9. 134 Answer 64 9 ÷ 0 = _____ 135 Answer 65 45 ÷ 9 = _____ 136 Answer ÷ 66 81 9 = From PARCC EOY sample test #39 137 ÷ 67 Cindy is finding the quotient for 27 9. She says, "The answer is 18 because addition is the opposite of division and 9 + 18 = 27. Yes Answer Is Cindy correct? No Explain why From PARCC PBA sample test #6 138 68 How can Cindy correct her reasoning? Answer What is the quotient when 27 is divided by 9. From PARCC sample test 139 Dividing by 10 Return to Table of Contents 140 Dividing by 10 Teacher Notes Haley has $100. If she spends $10 at each store, how many stores can she visit? store store store store store store store store store store What is the division problem? 141 Dividing by 10 Numbers that can be divided by 10 all end in 0. IN OUT 20 40 10 50 7 Rule: Divide by 10 142 143 Click here to play a game to practice dividing by 10. 144 69 What number goes in the inputoutput table where the question mark is? IN OUT 40 6 80 Answer 2 ? 7 Rule: Divide by 10 145 70 130 is divisible by 10. True Answer False 146 71 98 is divisible by 10. Yes Answer No 147 72 Which two equations represent TRUE divisions sentences. A 100 / 10 = 10 C 120 / 120 = 120 D 50 / 5 = 10 Answer B 30 / 3 = 3 148 Answer ÷ 73 80 10 = ? 149 Division Word Problems Return to Table of Contents 150 Division Word Problems When given a word problem, read it carefully and try to picture the story that is being told. Make sure you understand what the question is asking for. Don't forget the units in your answer. 151 Division Word Problems ÷ = Teacher Notes Aliyah bought 24 pieces of candy. She wanted to share her candy equally with herself and 3 of her friends. How many pieces of candy wi ll each person get? What words means to divide? Look for these words in each problem. 152 Division Word Problems Mr. Wall has 14 erasers. He wanted to give each of his students 2 erasers. How many students does Mr. Wall have? Teacher Notes ÷ = 153 Division Word Problems ÷ = Teacher Notes The third grade students want to arrange their 15 chairs for a performance in their room. If they can fit 5 chairs across, how many rows will they have? 154 Click here to practice solving division word problems. 155 Division Word Problems Work in your group to create division story problems for the following number sentences: 45 ÷ 9 = 5 42 ÷ 6 = 7 18 ÷ 2 = 9 9 ÷ 1 = 9 156 74 Is this a division number story? Yes No Answer The basketball team needed new shoelaces. If there are 5 players, how many shoelaces do they need in all? 157 75 Is this a division number story? Yes No Answer Jenny and her sister received a bag of 10 different colored hats from their grandma. How many hats does each girl receive? 158 76 Solve : Jenny and her sister received a Answer bag of 10 different colored hats from their grandma. How many hats does each girl receive? 159 77 Is this a division number story? Yes No Answer The triplets were given $21 to split among them. How much money does each child get? 160 78 Solve : The triplets were given $21 to split A $3 B $7 C $21 Answer among them. How much money does each child get? 161 79 Is this a division number story? Yes No Answer Pizzas were bought for Tonya's birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought? 162 80 Solve: Pizzas were bought for Tonya's Answer birthday party. If each pizza has 8 slices and there were 56 slices in all. How many pizzas were bought? 163 81 Is this a division number story? Yes No Answer There 8 children on the soccer team. Each player sells 2 boxes of candy. How many boxes are sold? 164 82 Which three statements can be represented by the expression 24 4? ÷ A Jake makes 24 muffins. He gives away 4 muffins. C Amira has 24 trading cards. She puts them into piles containing 4 cards each. Answer B Collin has 24 toy trucks. He sorts them into groups of 4 trucks each. D Rosemary puts 24 stickers in each book. She uses enough stickers to fill 4 books. E Steven fills a new bookshelf with 24 books. He puts the same number of books on each of the 4 shelves. From PARCC EOY sample test #22 165 83 Brian has 48 cupcakes in 6 boxes. Each box holds an equal number of cupcakes. Bryan uses this equation to find how many cupcakes are in each box. Create a different equation Bryan could use to find the number of cupcakes in each of the 6 boxes. Select one from each group. A ? D + H ? B 6 E I 6 C 48 F x J 48 From PARCC PBA sample test #11 Answer 48 ÷ 6 = ? = 48 G ÷ 166 84 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. How many red balloons does Mr. Kahn have? A 8 Answer Part A B 9 C 32 D 36 From PARCC PBA sample test #12 167 85 Mr. Kahn has a total of 148 balloons. He has 112 white balloons and equal numbers of red, blue, green, and yellow balloons. Part B Answer Mr. Kahn gave away 8 blue balloons and 6 red balloons. He gave away 3 times the number of white balloons as red balloons. What was the total number of balloons Mr. Kahn gave away? A 17 B 23 C 32 D 42 From PARCC sample test 168