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Grade 4 EnVisions Math Topic 10 Power Point Lessons: Dividing by 1 Digit Divisors By Kristin Jason USING OBJECTS TO DIVIDE: DIVISION AS REPEATED SUBTRACTION C Lesson 10-1 CCSS 4.NBT.6 Warm Up • 72 ÷ 8 • 63 ÷ 7 • 54 ÷ 6 • 36 ÷ 4 • 27 ÷ 9 Think and Write • How are division and subtraction related? Division as Repeated Subtraction • How many piles of 5 objects can be made of 10 objects? • To solve, subtract 10 – 5 = 5, and 5 – 5 = 0. 10 ÷ 5 = 2, since you subtracted twice to get to 0. • 15 ÷ 5 = 15 – 5 = 10, 10 – 5 =5, 5 – 5 = 0. How many times did you subtract? • You subtracted 3 times. 15 ÷ 5 = 3 Practice! • Use repeated subtraction to solve. • 30 ÷ 2 • 60 ÷ 12 • 45 ÷ 3 • 80 ÷ 20 Problem 1 • Michael wants to divide 48 new baseballs equally between 3 teams. How many baseballs will each team get? Problem 2 • Dylan has 52 juice boxes. He wants to divide them equally between his class and his brother’s class. How many juice boxes will each class get? Problem 3 • Brittany makes 52 cookies. She wants to divide them equally between 4 plates. How many cookies should she put onto each plate? Problem 4 • Principal Monroe has 51 new laptop computers. She wants to divide them equally between 3 classrooms. How many laptops will each classroom get? DIVISION AS REPEATED SUBTRACTION Lesson 10-2 CCSS 4.NBT.6 WARM UP 9–3 14 – 9 16 – 7 12 – 5 11 – 4 15 - 8 THINK AND WRITE Explain how division and subtraction are related. How can you use subtraction to help you divide? DIVISION AND SUBTRACTION How can you solve a division problem by using subtraction? Example: 60 ÷ 12.To solve, keep subtracting 12 from 60 until you have nothing left. The number of times you subtracted will be your answer. 60 – 12 = 48 – 12 = 36 – 12 = 24 – 12 = 12 – 12 = 0 You subtracted 12 five times, so 60 ÷ 12 = 5. PRACTICE! Use repeated subtraction to solve. 65 ÷ 5 38 ÷ 2 56 ÷ 4 72 ÷ 6 80 ÷ 5 PROBLEM 1 Sean buys 68 seeds to put into his garden. He wants to put the seeds into 4 equal rows with an equal number of seeds in each row. How many seeds will Sean put into each row? PROBLEM 2 Cindy takes 48 seeds out of a watermelon. She puts the seeds into 3 equal piles. How many seeds does Cindy put into each pile? PROBLEM 3 Gavin has 38 tomatoes. If he picked an equal number of tomatoes from his 2 tomato plants, how many tomatoes did he pick from each plant? PROBLEM 4 Farmer Brown has 76 apples that he puts into 4 equal piles. How many apples are in each pile? Using Objects to Divide: Division as Sharing Lesson 10-3 CCSS 4.NBT.6, 4.NBT.1 Warm Up 36 80 55 18 21 ÷ ÷ ÷ ÷ ÷ 4 10 5 3 7 Think and Write Tell about the last time you have had to share an amount of objects equally with a group of people. Example: I had to share a plate of 12 cookies with 3 friends. Division of Objects What are some ways that you can solve division problems? You can use basic facts and solve mentally. You can draw a picture and circle equal groups. You can draw tens and ones to represent the larger number and separate them into groups. Division with Remainders Sometimes when you divide, you have objects left over, called the remainder. Example: 20 ÷ 3. Circle to make equal groups. How many are left over? Practice! Solve. There may be remainders. 16 ÷ 5 26 ÷ 4 32 ÷ 3 55 ÷ 4 46 ÷ 6 38 ÷ 9 Problem 1 Marcy makes 50 muffins. She wants to divide them into 4 equal boxes. How many muffins should she put into each box? How many muffins will be left over? Problem 2 Luke has 58 toy cars. He puts them into 5 boxes when he cleans up. How many cars does he put into each box if he puts an equal number of cars into every box? How many cars would he have left over? Problem 3 Mrs. Sanchez makes 4 salads. She wants to put an equal number of cherry tomatoes into each salad. If she has 65 tomatoes, how many tomatoes should she put into each salad? How many will be left over? Problem 4 Coach Tom has 54 baseballs. He puts an equal number of baseballs into 7 gym bags. How many baseballs does he put into each bag? How many are left over? DIVIDING 2 DIGIT BY 1 DIGIT NUMBERS Lesson 10-4 CCSS 4.NBT.6 WARM UP Solve. 12 X 7 8X8 14 X 3 16 X 9 17 X 4 THINK AND WRITE Define the words DIVIDEND, DIVISOR, and QUOTIENT. Explain what each part plays in the process of division. PROCESS OF DIVISION 42 ÷ 5 How many tens can go in each group? Are there any tens remaining? Subtract. How many items are left? Bring down the number in the ones place. How many items can you put into each group? Are there any items remaining? PRACTICE! 45 ÷ 57 ÷ 63 ÷ 72 ÷ 83 ÷ 38 ÷ 3 4 8 5 6 4 PROBLEM 1 Gavin is building Lego towers using 98 blocks. He wants to use an equal amount of blocks for each tower. If Gavin makes 4 towers, how many blocks will he use for each? How many blocks will be left over? PROBLEM 2 Shauna makes 84 croissants for her brunch. She divides the croissants equally on 3 trays. How many croissants will she put onto each tray? How many croissants will be left over PROBLEM 3 Farmer Larry has 78 blueberry bushes to plant for next season. He wants to plant them in 4 fields, with an equal number of bushes in each field. How many blueberry bushes should Farmer Larry plant in each field? How many bushes will be left over when he is done? PROBLEM 4 My dog Ace decides to bury 64 dog bones in 6 different holes. If Ace buried an equal number of bones in each hole, how many bones did he put in each hole? How many bones were left over? DIVIDING 3 DIGIT BY 1 DIGIT NUMBERS Lesson 10-5 CCSS 4.NBT.6 WARM UP 56 ÷ 8 63 ÷ 7 54 ÷ 9 48 ÷ 6 64 ÷ 8 THINK AND WRITE Explain the steps to dividing a two digit number by a one digit number using the example of 34 ÷ 3. DIVIDING WITH 3 DIGIT NUMBERS You know how to divide 2 digit by 1 digit numbers. Today, you will divide 3 digit by 1 digit numbers. Example: PRACTICE! Solve these problems for practice using the algorithm. 141 ÷ 8 257 ÷ 4 202 ÷ 5 328 ÷ 7 189 ÷ 3 422 ÷ 6 PROBLEM 1 There are 154 horses on the ranch. Jim wants to put the horses into equal groups in 8 different fenced pastures and put the rest in the barn. How many horses should he put in each pasture? How many horses will he have left? PROBLEM 2 Stella has 198 fish at the pet store. She wants to divide them equally between 9 tanks. How many fish should she put into each tank? How many fish will be left over? PROBLEM 3 There are 207 tree frogs at the zoo that have to be divided among 8 tanks equally. How many tree frogs are there in each tank? How many are left over in the holding tanks? PROBLEM 4 Mrs. Stewart has $324. She wants to divide the money equally among her 5 favorite charities. How much money will each charity get? How much money will be left over? Deciding Where to Start Dividing LESSON 10-6 CCSS 4.NBT.6 Warm Up Underline the digit in the hundreds place. Circle the digit in the tens place. 712 549 836 328 Think and Write How does understanding place value help you with division? Deciding Where to Start Sample: Kim has 142 cotton balls and is making a snowman craft that uses 3 cotton balls per snowman. How many crafts will Kim make? How many cotton balls will Kim have left? • What division problem can solve this? • Divide hundreds. How many hundreds can you put in a group? • Move to tens. How many tens can you put in each group? • How many ones go in each group? How many ones remain? Practice! Divide. Use your knowledge of place value to help you. 452 ÷ 8 389 ÷ 5 297 ÷ 7 531 ÷ 9 176 ÷ 4 Problem 1 Hala is making earrings with beads. She has 236 beads, and each pair of earrings uses 8 beads. How many pairs of earrings can Hala make? How many beads will Hala have left over? Problem 2 Jose is making wooden cars. Each wooden car uses 4 wooden wheels. Jose has 178 wooden wheels. How many cars can Jose make? How many wheels will he have left over? Problem 3 Chef Mario is making pizzas with pepperoni. He has 183 pieces of pepperoni and wants to put an equal number of pepperoni pieces onto 8 pizzas. How many pieces of pepperoni will Chef Mario use on each pizza? How many pieces of pepperoni will he have left? Problem 4 Mrs. Perez’s students are making snowglobe crafts. Each snowglobe craft uses 8 glitter snowflakes. If Mrs. Perez has 154 glitter snowflakes, how many snowglobe crafts can her students make? DIVIDING 4 DIGIT BY 1 DIGIT NUMBERS Lesson 10-7 CCSS 4.NBT.6 WARM UP Underline the digit in the hundreds place. 4,567 12,348 9,675 10,117 3,974 THINK AND WRITE When might you have to divide larger numbers like thousands and millions? FOUR DIGIT DIVISION Start by looking at the thousands place. 4 cannot go into 2, so move to the hundreds place. How many times does 4 go into 26? Write the 6 on the “house” on top of the 6. Write 24 below 26 and subtract. How many are left? Bring down the 3. How many times does 4 go into 23? Write the 5 on top above the 3, then subtract 23 – 20. How many are left? Bring that number down. How many times does 4 go into 32? PRACTICE! 1,278 ÷ 8 4,935 ÷ 9 3,062 ÷ 4 2,789 ÷ 6 2,143 ÷ 5 5,922 ÷ 7 PROBLEM 1 The fair committee sold 6,738 tickets at the fair. If they sold an equal number of tickets every night for 7 nights, how many tickets did they sell each night? PROBLEM 2 The garden shop had a flower sale for 3 days. Each day, they sold an equal number of flowers. If the shop sold 2,341 flowers during the sale, how many flowers did they sell each day? PROBLEM 3 The store gets a shipment of 1,255 bananas. They divide the bananas equally among 8 shelves. How many bananas are on each shelf? PROBLEM 4 The bakery gets 1,845 strawberries. They equally divide the strawberries between 9 different recipes for the bakers to make. How many strawberries will be used for each recipe? Problem Solving: Multiple Step Problems Lesson 10-8 CCSS 4.OA.3, 4.NBT.5 Warm Up 4X8 9X7 8X6 3X5 4X3 8X7 Think and Write Tell about a problem that you solved recently where the problem had more than one step to take to solve it. Explain how you solved this problem, and the steps you took to solve it. Multiple Step Problems 1. Read the problem carefully. 2. Think: What problem or problems am I being asked to solve? 3. If there is more than one problem, which one do I have to solve first? Hint: Does answering one help you answer the other? Practice Problem Sarah has $35. She buys a scarf for $15, a box of fruit snacks for $3, and a gallon of milk for $4. Does Sarah have enough money to buy a book for $8? Explain. 1. What problem or problems am I being asked to solve? 2. If there is more than one problem, which one do I have to solve first? Problem 1 Anna makes $15 an hour when she babysits and $20 an hour when she works at the amusement park. If Anna works 4 hours babysitting and 4 hours at the amusement park, how much money does she make in all? Problem 2 The preschool has 8 tricycles and 9 bicycles on the playground right now. How many wheels are on the playground right now? Problem 3 Angela is making trail mix cookies. One batch has 2 cups of peanuts, 1 cup of raisins, 3 cups of oats and 2 cups of dried fruit. How many cups of oatmeal are in 8 batches? If you like this product, please check out my other products at: https://www.teacherspayteachers.com/Store/Kristin-Jason-7154 Thanks to these wonderful teachers & artists for the fantastic clip art, frames, backgrounds & fonts!