11.4. PROBLEM SOLVING Money? Are You Ready? Lesson Opener Making Connections. Resources. Texas Essential Knowledge and Skills.

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1 .4 PROBLEM SOLVING Money? Essential Question How can acting it out help you solve a problem about money? How can acting it out help you solve a problem about money? Lesson Opener Making Connections Invite children to tell you what they know about paying for a purchase. When you pay for something that you want to buy, what happens if you have less money than the object costs? (You can t buy it unless you get some more money.) What happens if you have more money than the object costs? (Either you use some of your coins to pay the exact amount or you pay more than the amount that the object costs, and the person selling it gives you money back.) Texas Essential Knowledge and Skills Number and Operations.5.A Determine the value of a collection of coins up to one dollar;.5.b Use the cent symbol, dollar sign, and the decimal point to name the value of a collection of coins MATHEMATICAL PROCESSES..B Use a problem-solving model..a Apply mathematics to problems..g Display, explain, and justify mathematical ideas and arguments Are You Ready? Access Prior Knowledge Use the Are You Ready?.4 in the Assessment Guide to assess children s understanding of the prerequisite skills for this lesson. Lesson Vocabulary Go to Multimedia eglossary at thinkcentral.com Materials play coins (pennies, nickels, dimes, quarters), MathBoard Using the Digital Lesson You may want to have coin manipulatives (play money) available for children to use in modeling their solutions. They may also choose to use the Coin Tool. Learning Task Connect the story to the problem. Can you tell whether the girl had too little money to buy the lemonade or if she had enough? (She was able to buy the lemonade, so she had enough money.) How can you find how much money the girl has? (count the coins that she has) How can you show the coins to count them? (Answers may vary; show the coins with play money or draw pictures of the coins and write the amount for each coin.) Literacy and Mathematics View the lesson opener with the children. Then, choose one or more of the following activities. Invite children to draw two different ways that they could pay for something that cost cents. Have children write a story about two friends who wanted to buy some lemonade. For the student Resources Interactive Student Edition provides students with an interactive learning environment! Math on the Spot Video Tutor itools Virtual Manipulatives Soar to Success Math Online Intervention For the teacher Digital Management Center organizes program resources by TEKS! eteacher Edition Online Assessment System Lesson.4 79A

2 Unlock the Problem Review coins and their values with children. After reading and discussing the problem with children, work through the Problem Solving Graphic Organizer together. What information are you given? Possible answer: Meg has quarters, dimes, nickel and pennies. She wants to buy a whistle that costs 65. What is your plan or strategy? Explain. Possible explanation: I can use coins to act out the problem. I can use the coins Meg has. It helps me see which coins she can use to buy the whistle and the coins she has left over. Have children use coins to act out the problem. Ask them to draw a picture of Meg s coins and then cross out the coins for the cost of the whistle. What coins will Meg still have after she buys the whistle? Explain how you know. Possible explanation: Meg can use quarters, dime, and nickel to make 65, the cost of the whistle. I drew an X over those coins. Then I see she still has dime and pennies. How much money will Meg have after she buys the whistle? Image Credits: Getty Images/Photodisc? Name.4 Essential Question Unlock the Problem Meg has quarters, dimes, nickel, and pennies. She wants to buy a whistle for 65. How much money will Meg have after she buys the whistle? Read What information am I given? The whistle costs 65. Meg has these coins: PROBLEM SOLVING Money quarters, dimes, nickel, pennies How can acting it out help you solve a problem about money? Solve Meg will have after she buys the whistle. HOME CONNECTION Your child used play coins to act out the problem. Representing problems with objects can be a useful strategy for children to use to solve problems. Plan Number and Operations.5.A,.5.B MATHEMATICAL PROCESSES..A,..B,..G What is my plan or strategy? I can use coins to act it out. Show how you solve the problem. Draw and label coins to show the problem. Possible drawing shown Module three hundred seventy-nine 79 English Language Learners Leveled Activities Beginning: Activity 5 ELPS.F,.B., 4.C. Intermediate: Activity.D.,.G., 4.D Advanced: Activity 59 Advanced High: Activity 7.I.4,.C.4, 4.F.7 4.F., 4.F.6, 4.F.0, 4.G.4 Go to thinkcentral.com for the ELL Activity Guide containing these leveled activities. ELL Language Support ELPS 4.C., 4.F.5, 4.G.4 Strategy: Draw Materials: play coins (pennies, nickels, dimes, and quarters) Kinesthetic / Visual, Small Group Children can demonstrate their understanding by drawing. Write the following on the board. quarter, dimes, pennies Have children use play coins to model the money amount shown on the board. Have children draw the coins they used. Repeat the activity with quarters, dime, and nickels. 79 Module

3 Try Another Problem Use coins to solve the problem. Draw to show what you did.. Natasha has quarters and 4 nickels. How much more money does she need to buy the notebook? Check children s drawings. What information am I given? What is my plan or strategy? $.00 Natasha needs 5 more to buy the notebook.. Carlos has 5 pennies, dimes, and a quarter. He wants to buy the paint. How much money will Carlos have after he buys the paint? Check children s drawings. 50 Try Another Problem Use questions to guide children through the first problem. What information are you given? Possible answer: Natasha wants to buy a notebook for a dollar. She has quarters and 4 nickels. How can acting the problem out with coins help you solve this problem? Possible answer: I can put the coins in order from greatest value to least value to help me find the total value of the coins Natasha has. Then I can use more coins to find how much more money she needs to make one dollar. Repeat with a similar discussion for the second problem. Math Talk Mathematical Processes Use Math Talk to focus on children s understanding of using a given collection of coins to show a specific amount of money. Carlos will have 0 after he buys the paint. Math Talk: Possible explanation: Natasha has quarters and 4 nickels, which have a total value of 95. The notebook costs $.00, or 00. She needs 5 more cents to make a dollar. 80 three hundred eighty Math Talk Mathematical Processes Explain how you solved Exercise. COMMON ERRORS Error Children may leave out some of the coins when finding the total value. Springboard to Learning Have children act out each money amount with play coins. Suggest that they circle the coin names and quantities in the problem and check that they have included the correct number of each type of coin. Enrich Kinesthetic / Visual, Partners Materials: play coins (pennies, nickels, dimes, and quarters) Write the following problem on the board. Four children each buy a sandwich for $.00. They each pay for their sandwich with a different collection of coins. Each child uses a different number of quarters. How could each child pay for their sandwich? Have children work with a partner to solve the problem using coins. Ask them to draw and/or list their solutions and then compare their solutions with another group. Go to Go to thinkcentral.com for additional enrichment activities in the Enrich Activity Guide. Lesson.4 80

4 Share and Show Exercise connects to the learning model. Use the checked exercise(s) for Quick Check. Quick Check Name Share and Show Use coins to solve the problem. Draw to show what you did.. Anna has nickels, 5 pennies, and quarter. Her mom gives her another coin so Anna can buy the balloon. What coin does Anna get from her mom? Check children s drawings. 55 IF THEN a child misses the checked exercise(s) Differentiate Instruction with RtI Tier Lesson 56 Problem Solving If children answered the checked exercise(s) correctly, assign the remaining exercises on this page. Problems These problems require children to use higher order thinking skills and/or multiple steps to solve. In Exercise 4, children find the amount needed to buy two apples, then determine a collection of dimes and pennies with that total value. Exercise 5 challenges children to use information about money given back as change in order to determine the cost of a toy. Go Deeper Lead an activity with children to connect money transactions with addition and subtraction. For example, ask children how they could use addition or subtraction to solve these problems: Jennie has 45 cents. She gets 5 cents more. How much money does Jennie have now? Jennie has 90 cents. She buys an orange for 50 cents. How much money does Jennie have now? Image Credits: (t) Getty Images; (b) Photodisc/Getty Images; (c) Comstock/Getty Images Anna gets Problem Solving dime from her mom. Solve. Write or draw to explain. 4. Multi-Step One apple costs 6. Chris uses dimes and pennies to buy apples. What coins could Chris use to buy the apples? 5. Multi-Step James uses quarters and dime to buy a toy. The cashier gives him nickel back. How much did the toy cost? Some possible answers: 7 dimes and pennies; 6 dimes and pennies dimes pennies 80 Module Lesson 4 three hundred eighty-one 8 RtI Tier Lesson 56 Enrich 5 Math on the Spot Video Tutor Through the Math on the Spot Video Tutor, children will be guided through an interactive solving of this type of H.O.T. problem. Use this video to also help children solve the H.O.T. problem in the Interactive Student Edition. With these videos and H.O.T. problems, children will build skills needed in the TEXAS assessment. Math on the Spot videos are in the Interactive Student Edition and at thinkcentral.com. 8 Module Name LESSON 56 Problem Solving Money OBJECTIVE Solve problems finding the value of a collection of coins up to one dollar by using the strategy act it out. Erin has quarter, dimes, nickels, and penny. She wants to buy a marker for 5. How much money will Erin have after she buys the marker? Unlock the Problem Read Plan.5.A,.5.B What information am I given? What is my plan or strategy? The marker costs 5. Erin I can act it out. has quarter, dimes, nickels, penny. Solve Show how to solve the problem. Draw and label coins to show the problem Erin has after she buys the marker. Use coins to solve the problem. Check children s drawings. Draw to show what you did. Alan has quarter, dimes, nickel, and pennies. He buys a sticker for 5. How much money does Alan have left? Alan has 8 left. Number and Operations Enrich Name Enrich 5 Yard Sale Sales Amy and Robby are shopping at a yard sale. Items Rubber duck Snow globe Toy flute Picture book. Robby has one $ bill, dime, 5 nickels, and 4 pennies. Which item can he buy? rubber duck. Amy has nickels, 4 dimes, quarters, and one $ bill. Which of the items can she choose from to buy? rubber duck toy flute E5 Price $.5 $.50 $.95 $.0 Writing and Reasoning Look at Exercise. Explain how you solved the problem. Possible answer: Robby has $.9. Only the rubber duck costs that amount or less.

5 Daily Assessment Task Mathematical Processes Choose the correct answer. Daily Assessment Task 6. Multi-Step Alex has quarters and dime. He buys a pen for 50. How much money does he have now? Todd uses quarters, dimes, and a penny to buy lemonade. How much does the lemonade cost? Can children use coins to act out a problem about money? IF NO THEN Soar to Success Math Warm-Up. Warm-Up YES Enrich 5 Homework and Practice Lesson.4 8. Evaluate Nina has 0. Which group of coins have a total value of 0? quarter, dime quarters quarter, nickel TEXAS Test Prep Coach Test Prep Coach helps teachers to identify common errors that children can make. If children selected: 9. TEXAS Test Prep Jacob has dimes, nickels, and quarters. He uses 65 to buy juice. How much money does he have now? TAKE HOME ACTIVITY Have your child explain how he or she solved one of the problems in this lesson. 8 three hundred eighty-two , they miscounted the coins. 0, they forgot to include the value of a remaining coin.? Essential Question Write Math How can acting it out help you solve a problem about money? Possible answer: I can arrange the coins to quickly count them to find the total value. Then I compare that amount to the price of the object. Differentiated Centers Kit Games Games Tic Tac Total Children practice showing the same amount of money in another way. Literature Time to Go Shopping Children read about counting coins to buy all the items on a shopping list. Activities Mike s Kites Children complete blue Activity Card 6 by calculating the value of a collection of coins. Lesson.4 8

6 5 Homework and Practice.4 Name PROBLEM SOLVING Money Use coins to solve the problem. Draw to show what you did.. Trish has 5 pennies, dime, and quarters. She wants to buy a headband that costs 69 cents. How much money will she have after she buys the headband? Check children s drawings. Trish has after she buys the headband. Problem Solving Solve. Write or draw to explain.. Multi-Step Jeff uses nickels and pennies to buy a pencil that costs 9. What coins could Jeff use to buy the pencil? Number and Operations.5.A,.5.B MATHEMATICAL PROCESSES..A,..B,..G Some possible answers: 7 nickels and 4 pennies; 6 nickels and 9 pennies nickels pennies. Multi-Step Madeline uses quarters Check children s work. and dimes to buy a corn muffin. The cashier gives her 4 pennies back. How much did the corn muffin cost? 9 Module three hundred eighty-three 8 Lesson Check Choose the correct answer. 4. Gary has dimes, nickels, and quarters. He wants to buy a balloon that costs 75. How much money will he have after he buys the balloon? Lilly finds three coins at the park. The total value of the coins is 60. What three coins does she find? quarters quarters, dime quarters, nickel 6. Tom uses quarter, dimes, and pennies to buy an orange. How much does the orange cost? Ellie wants to buy a juice box. The juice box costs 45. Ellie has quarters and dimes. Which coins will Ellie still have after she buys the juice box? dimes quarters quarter, dimes 84 three hundred eighty-four TEXAS Test Prep Homework and Practice Use the Homework and Practice pages to provide children with more practice on the concepts and skills of this lesson Module

7 Name Write the total value. q TEKS.5.A,.5.B.. Concepts and Skills Module Assessment Also accept $ Also accept $ Formative Assessment Use the Module Assessment to assess children s learning and progress in the module. The formative assessment provides the opportunity to adjust teaching methods for individual or whole class instruction. Module Assessment Draw and label the coins from greatest to least value. Write the total value two ways. q TEKS.5.A,.5.B = $0.45 Circle coins to make $.00. Cross out the coins you do not use. q TEKS.5.A 4. Possible answer given. Module three hundred eighty-five 85 Data-Driven Decision Making Based on the results of the Module Assessment, use the following resources to strengthen individual or whole class instruction. Item Lesson TEKS* Common Error Intervene With RtI* Tier Lessons Soar to Success Math..5.A,.5.B May not understand how to count on with quarters 5.0,...5.A,.5.B May misidentify one or more coins 55., A May miscount the coins 54. *TEKSTexas Essential Knowledge and Skills; RtIResponse to Intervention Module Assessment 85

8 Module Assessment Fill in the bubble for the correct answer choice. 5. Chandra has these coins. What is the total value of her coins? q TEKS.5.A TEXAS Test Prep Isaac has 8. What is another way to write the amount of money Isaac has? q TEKS.5.B $ Dakota wants to buy a book that costs one dollar. Which coins can Dakota use to buy the book? q TEKS.5.A 4 dimes 4 quarters 4 nickels Depth of Knowledge DOK Level Items, 4 7, There are quarters, dime, and nickels in Jan s bank. Jan puts another nickel in the bank. What is the total value of the coins in the bank? q TEKS.5.A 9. Craig has dimes, nickels, and quarter. He wants to buy a muffin for 45. How much money will he have after he buys the muffin? q TEKS.5.A 86 three hundred eighty-six $ Image Credits: D. Hurst/Alamy Data-Driven Decision Making Item Lesson TEKS* Common Error Intervene With RtI* Tier Lessons Soar to Success Math 5..5.A May misidentify the quarter as a nickel 55., B May not understand how to use the symbols when writing money amounts 55., A May not know the value of a dollar A,.5.B May forget to include the extra nickel A May miscount the total value of the remaining coins 56.,. *TEKSTexas Essential Knowledge and Skills; RtIResponse to Intervention 86