READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview 4 th Grade Math Learning Objective: We will solve word problems. (multistep) Focus Standard: 4.OA.3 Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Support Standard: 4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. SMP 1, SMP 2, SMP 3, SMP 4, SMP 6, SMP 8 Prerequisite(s): 4.OA.2 Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. Special Instructions: Steps for this lesson are general steps that can be applied to any math word problem. Checking for Understanding questions for the steps should be specific to the process undergone in each problem. Vocabulary Academic:solve Content:word problems Support: Common Core Shifts in Mathematics Shift 1 Focus Shift 2 Coherence Shift 3 Fluency Shift 4 Deep Understanding Shift 5 Application Shift 6 Dual Intensity Standards for Mathematical Practice (SMPs) SMP1 Make sense of problems SMP2 Reason abstractly and quantitatively SMP3 Construct arguments and critique the reasoning of others SMP4 Model with math SMP5 Use appropriate tools SMP6 Attend to precision SMP7 Make use of structure SMP8 Look for regularity in repeated reasoning

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve multistep word problems posed with whole numbers and having whole- number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. Lesson to be used by EDI-trained teachers only. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. What are we going to do? What does solve mean? Solve means __________. CFU Students, you already know how to solve word problems with one operation. Now, we will use more than one operation to solve word problems. Make Connection 1 find the answer Vocabulary We will solve 1 word problems. Learning Objective Activate Prior Knowledge 1.Francis saved $10 each week for three weeks. How much money did Francis save? 2.Francis received $12 for good grades. If he had $30 saved, how much money does Francis have now? 3.Francis went to the bookstore with his $42. If he buys a $7 book, how much money will Francis have left over? 4.Francis went to the bookstore with his $42. If all books are on sale for $7, how many can he buy? What operation is needed to solve each word problem? Explain your choice. Multiplication, 10 × 3 Addition, Subtraction, 42 – 7 Division, 42 ÷ 7

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Why is $7 subtracted from $42 ? Which operations will be used to solve the word problem below? How do you know? “ Erika is playing a video game. She scored 50 points on the first level, lost 15 points on the second level, and scored 68 points on the third level. How many points does she have after the third level?” A Addition B Subtraction C Multiplication D Division CFU Solving Word Problems Concept Development Word problems that need more than one operation can be solved one step at a time. Francis saved $10 each week for three weeks. He also received $12 for good grades. Then he spent $7 on a book. How much money does Francis have now? 10  3 = 30 Francis has $35 now = 42 Add 12 Multiply 10 by 3 42 – 7 = 35 Subtract 7

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice Word problems that need more than one operation can be solved one step at a time. 1.Javier’s grandma gave $60 to him and his sister to share evenly. Javier already has $80 and his dad gave him $20 for cutting the grass. How much money does Javier have? _______________________________ 2.Mrs. Lopez’s class is collecting cans for the food drive. For the first 3 weeks, the students brought 23 cans each week. On the fourth week, the students brought in 32 cans and Mrs. Lopez brought in 15 cans. How many cans did the class collect? _______________________________ “Multiply to find the amount of cans in the first 3 weeks...” “…then add the cans from the fourth week.” “Divide to find the amount of money from his grandma...” “…then add the money he has saved and the money he earned for cutting the grass.” Javier has $130. Determine what the question is asking. “What am I trying to find?” Determine the math concept required. “What do I already know about this idea?” “What operation(s) will I need to use?” Determine relevant information. “What amounts am I given?” “Which numbers do I need?” Solve the problem, then interpret the answer. “What does my final answer mean?” Check the reasonableness of your answer. “Does my answer make sense?”“Did I answer the original question?” Solving Math Problems How did I/you know which operation(s) to use? How did I/you interpret the answer? (Optional) How did I/you check the reasonableness of the answer? CFU × The class collected 116 cans.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) Determine what the question is asking. “What am I trying to find?” Determine the math concept required. “What do I already know about this idea?” “What operation(s) will I need to use?” Determine relevant information. “What amounts am I given?” “Which numbers do I need?” Solve the problem, then interpret the answer. “What does my final answer mean?” Check the reasonableness of your answer. “Does my answer make sense?”“Did I answer the original question?” Solving Math Problems How did I/you know which operation(s) to use? How did I/you interpret the answer? (Optional) How did I/you check the reasonableness of the answer? CFU Word problems that need more than one operation can be solved one step at a time. 3.Two technology companies donated tablets. One company donated 209 tablets and the other donated 176. The tablets will be equally shared between 9 schools and the remaining tablets will be given as rewards to students. How many tablets will be given as rewards? _______________________________ 4.An automobile manufacturer makes cars, vans, and trucks. This week, they produced 17 of each type. Transport trucks take the cars to the dealerships. If each transport truck carries 8 automobiles, how many transport trucks are needed to ship out this week’s automobiles? _______________________________ “Multiply to find the total number of automobiles made…” “…then divide to find the number of transport trucks needed.” “Add to find the total number of tablets donated…” “…then divide to find the number of tablets each school gets. The remainder shows the number of tablets left over.” r 7 7 tablets will be given out as rewards. 17 × r 3 7 are needed because 6 trucks will hold 48 and a 7 th is needed for the 3 remaining automobiles.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU Alice made fruit baskets for her friends. The table below shows the different fruits she had. She used two different kinds of fruit. She has 5 pieces of fruit in each basket. There is none of the two kinds of fruit left over when she is done. Which of the two kinds of fruit did she use? How do you know? How many baskets did she make? Fruits TypeNumber Apples25 Papayas28 Nectarines22 Bananas = 54 Alice used papayas and nectarines because those are the two that are divisible by 5. She made ten baskets of fruit. No remainder? = = =50 5 = 10 5

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) How did I/you determine what the question is asking? How did I/you determine the math concept required? How did I/you determine the relevant information? How did I/you solve and interpret the problem? How did I/you check the reasonableness of the answer? CFU Juan sorted his clothes into different drawers. The table below shows the different clothes he had. In one dresser, he sorted two different kinds of clothes. He has 6 pieces of clothing in each of the drawers. There is none of the two kinds of clothing left over when he is done. Which of the two types of clothes did he sort? How do you know? How many drawers did he fill? Clothes TypeNumber Pants33 Shirts26 Socks28 Shoes =59 6 Juan sorted his shirts and his socks into the drawers He sorted his shirts and socks into 9 different drawers. No remainder? = = = = =54 6 = 9

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Solving word problems will help you solve real-world problems, such as the problems we just solved! Solving word problems will help you do well on tests. 1 Does anyone else have another reason why it is relevant to solve word problems? (Pair- Share) Why is it relevant to solve word problems? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Sample Test Question: 32. A family of 5 has saved $1,040 for a vacation to an amusement park. Three-day tickets cost $150 for adults and $130 for children. If the family needs to buy 3 adult tickets and 2 child tickets, how much money will the family be able to spend each day after they buy their tickets? Relevance Word problems that need more than one operation can be solved one step at a time. Many companies donate items to organizations that assist kids, such as schools and charities. Manufacturing companies need to organize how they will ship out the products they create.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Determine what the question is asking. “What am I trying to find?” Determine the math concept required. “What do I already know about this idea?” “What operation(s) will I need to use?” Determine relevant information. “What amounts am I given?” “Which numbers do I need?” Solve the problem, then interpret the answer. “What does my final answer mean?” Check the reasonableness of your answer. “Does my answer make sense?”“Did I answer the original question?” Solving Math Problems What did you learn today about solving word problems? (Pair-Share) Use words from the word bank. Skill Closure Access Common Core Summary Closure Word Bank operation steps information quantities amounts Word problems that need more than one operation can be solved one step at a time. Vanessa said that only multiplication and addition are needed to solve the problem above. Explain why she is incorrect. 1.Robert wants to buy a new baseball glove for $120. He saved $25 each month for three months and his mom gave him $15 for washing the car and $10 for cleaning his room. How much more does he need to buy the new baseball glove? ____________________________________ 25 × – Robert needs $20 to buy the new baseball glove. Vanessa is incorrect because Robert needs to subtract the amount of money he has now from $120 to find out how much more money he needs.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice Determine what the question is asking. “What am I trying to find?” Determine the math concept required. “What do I already know about this idea?” “What operation(s) will I need to use?” Determine relevant information. “What amounts am I given?” “Which numbers do I need?” Solve the problem, then interpret the answer. “What does my final answer mean?” Check the reasonableness of your answer. “Does my answer make sense?”“Did I answer the original question?” Solving Math Problems Word problems that need more than one operation can be solved one step at a time. 1.Guy’s Bike Shop usually sells 19 bikes a month at an average price of $297 per bike. How much money does Guy make each month if he pays $1,000 a month to rent his shop building? _______________________________ 2.Guy has three part-time employees that help out after school and on the weekends. Each employee is paid $387 per month. How much money does Guy have after paying rent and paying his employees? _______________________________ 297 × – Guy makes $4643 each month. 387 × – Guy has $3482 after paying rent and his employees.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) Determine what the question is asking. “What am I trying to find?” Determine the math concept required. “What do I already know about this idea?” “What operation(s) will I need to use?” Determine relevant information. “What amounts am I given?” “Which numbers do I need?” Solve the problem, then interpret the answer. “What does my final answer mean?” Check the reasonableness of your answer. “Does my answer make sense?”“Did I answer the original question?” Solving Math Problems Word problems that need more than one operation can be solved one step at a time. 3.Sandra’s family knows she loves books, so for her birthday, Sandra received six $25 gift cards to an online bookstore. Sandra was planning how to use the money. “If each book usually costs about $9, how many books can I buy? How much money will I have left over?” _______________________________ 4.Sandra decided to buy 6 books for $9 each and 8 notebooks for $7 each. The rest of the money she will save to buy books over the next few months. How much money will she have to spend on future books? _______________________________ 25 × r 6 Sandra can buy 16 books. She will have $6 left over. 6 × × – Sandra will have $40 to spend on future books.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 1 Access Common Core 1.Lucille gets paid two times each month. She puts $85 in her savings account every time she gets paid. Find out how much money Lucille saves in a year. _______________________________ 2.Roy owns six flower shops across the county. He recently purchased 5880 roses and will send an equal amount to each store. His store on North St. needs 407 roses to decorate a wedding. How many roses will the North Street store have left to sell? _______________________________ Lucille will save $2040 in a year. The North Street store will have 573 roses left to sell. 1. Create a word problem using the operation of addition. 2. Create a word problem using the operation of division. 3. Create a word problem using the operation of multiplication. Alexis practices on her accordion for 6 hours during the week and for 5 hours on the weekends. How many hours does she practice in a year? Juanita owns four bookstores in the city. She purchased 2,508 books and will send an equal number of books to each store. If one store sells 217 books, how many books will it have left? Sonya received twelve $20 bills for her birthday. If she bought a new tablet for $173, how much will she have left over?

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 2 Access Common Core 1.There are 9 young sharks and one adult shark at the aquarium. The sharks are fed 1000 fish a day. The adult shark is fed 190 of these fish each day. If the young sharks share the rest of the fish, how many fish does each young shark eat? _______________________________ 2.Rudy works for the local movie theatre. He was given 418 $15-gift cards. He was told to deliver an equal amount to 7 local charities and that he could keep the remaining gift cards. Find out how much Rudy will be able to spend at the movie theatre himself. _______________________________ The young sharks eat 90 fish each day.Rudy will have $75 to spend at the movie theatre. Before solving each of the word problems below, determine which operations will be used. Explain how you knew which operations to use. For problem one, we will need to use subtraction then division. For problem two, we will need to use division and then multiplication.

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 3 Access Common Core 1.Gloria’s grandma owns two cherry-tree farms outside of town. Last week, one farm picked 4525 cherries and the other picked 5765 cherries. If a machine packs them equally into 7 bins, will there be any cherries left over? _______________________________ 2.How many seconds are in 24 hours? _______________________________ There will be no cherries left over.There are 86,400 seconds in 24 hours. Emir took his two younger cousins to the zoo. Emir is 17 years old, and his cousins are 6 and 12. They also had lunch at the snack bar. They each had a hamburger and juice. How much money did they spend at the zoo? Zoo Tickets TypePrice Adult (ages 12-64)$17 Senior (ages 65+)$12 Child (ages 2-11)$9 Under 2Free Snack Bar Food/DrinkPrice Hamburger$6 Pizza$4 Soda$3 Juice$ = = 8 8  3 = = 67 Emir and his cousins spent $67 at the zoo

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will solve word problems. Elaboration Targeted Vocabulary Academic solve Content word problems Support Demonstration Vocabulary Strategy Multiple-Meaning Synonym Definition solve, word problems Homophone Internal Context Clue Listen, Speak Similar Sounds WriteWriting Read Tracked Reading Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures Language Strategies Cognitive StrategiesTeaching Strategies Content Access Strategies

CCSS 4 th Grade Operations and Algebraic Thinking 3.1 Solve word problems. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Blank Page