Money Objectives To review money amounts with coins; to guide children as they write dollars-and-cents notation and compare c money amounts. www.everydaymathonline.com ePresentations eToolkit Algorithms Practice EM Facts Workshop Game™ Teaching the Lesson Family Letters Assessment Management Common Core State Standards Ongoing Learning & Practice Key Concepts and Skills Interpreting Pictographs • Identify value of digits in decimal (dollars-and-cents) notation. Student Reference Book, pp. 88 and 89 Math Journal 1, pp. 18A and 18B Children analyze data from a pictograph. [Number and Numeration Goal 1] • Write money amounts in decimal (dollars-and-cents) notation. [Number and Numeration Goal 1] • Compare money amounts. [Number and Numeration Goal 6] • Calculate values of coin and bill combinations. [Operations and Computation Goal 2] Key Activities Children review dollars-and-cents notation, use the < and > symbols to compare money amounts, and make change. Math Boxes 1 10 Math Journal 1, p. 19 Children practice and maintain skills through Math Box problems. Home Link 1 10 Math Masters, p. 24 Children practice and maintain skills through Home Link activities. Curriculum Focal Points Interactive Teacher’s Lesson Guide Differentiation Options READINESS Playing Coin Top-It Math Masters, p. 403 Student Reference Book, p. 270 scissors Children practice comparing values of coin combinations. ENRICHMENT Sharing Money Math Masters, pp. 25 and 399 tool-kit coins Children work with coins and bills to share $5 equally among six children. Ongoing Assessment: Informing Instruction See pages 62 and 63. Ongoing Assessment: Recognizing Student Achievement Use journal page 17. [Number and Numeration Goal 6] Key Vocabulary decimal decimal point make change Materials Math Journal 1, pp. 17 and 18 Student Reference Book, p. 212 Home Link 1 9 slate 25–30 pennies and 6–10 nickels, dimes, and quarters Advance Preparation For Coin Top-It in Part 3, each child will need a copy of Math Masters, page 403. For the optional Enrichment activity in Part 3, make copies of Math Masters, page 399 to provide five $1 bills for each small group. Teacher’s Reference Manual, Grades 1–3 pp. 162–165 Lesson 1 10 61 Mathematical Practices SMP1, SMP2, SMP3, SMP4, SMP6, SMP7 Content Standards Getting Started 3.NBT.2, 3.MD.3 Bold SMP = Guiding Questions at everydaymathonline.com Mental Math and Reflexes Math Message Have children count orally. Do Problem 1 on journal page 17. Count by dimes, beginning with 60¢: 60¢, 70¢, 80¢, 90¢, ... Begin with $1.80: $1.80, $1.90, $2.00, ... Count by nickels, beginning with 25¢: 25¢, 30¢, 35¢, ... Begin with $2.45: $2.45, $2.50, $2.55, ... Bold = Focus of lesson Home Link 1 9 Follow-Up Count by quarters; begin with 25 cents: 25¢, 50¢, 75¢, ... Begin with $3.00: $3.00, $3.25, $3.50, ... Continue as time permits. Have children share their strategies for making the smallest and largest numbers they could. 1 Teaching the Lesson Some children may benefit from doing the Readiness activity before you begin Part 1 of the lesson. See the Readiness activity in Part 3 for details. Math Message Follow-Up WHOLE-CLASS DISCUSSION (Math Journal 1, p. 17) Have children share coin combinations. Record their combinations on the board using Î, Â, Í, and ‰. Some possibilities: NOTE Some children may be unfamiliar with the Î, Â, Í, and ‰ notation. Show the actual coins and match the appropriate notation to each coin. Point out that 2‰ means ‰ ‰. ‰‰‰ÍÎÎÎÎ ÍÍÍÍÍÍÍÍÂÎÎÎÎ ‰‰ÍÍÍÂÎÎÎÎ Tell children that today’s lesson will review dollars-and-cents notation. Reviewing Dollars-and-Cents Student Page Date Notation Time LESSON Using Coins 1 10 Math Message Ask a volunteer to write 45 cents on the board in dollars-and-cents notation. $0.45. 1. You buy a carton of juice for 89 cents. Show two ways to pay for it with exact change. Draw Î to show pennies,  to show nickels, Í to show dimes, and Sample answers: ‰ to show quarters. a. ‰‰‰ÍÎÎÎÎ b. ‰‰ÍÍÍÂÎÎÎÎ ● What does the 0 stand for? The number of dollars; there are none. ● What does the 4 stand for? The number of dimes, or 40 cents ● What does the 5 stand for? The number of pennies, or 5 cents Write each of the following amounts in dollars-and-cents notation. The first one is done for you. 2. three dimes and one nickel $0.35 $0.57 3. five dimes and seven pennies 4. fourteen dimes $1.40 5. two quarters and four pennies $0.54 6. three dollars and one nickel and three pennies 7. seven dollars and eight dimes $3.08 $7.80 Ongoing Assessment: Informing Instruction Write =, <, or >. 8. $0.68 < ‰‰‰‰ 9. ÍÍÂÂÂÎÎ 10. $1.18 > = < ‰ÂÎ $1.81 11. three quarters 13. $0.67 > Remember Watch for children who write $4.6 for 4 dollars and 6 cents and $0.8 for 8 cents. Emphasize that in dollars-and-cents notation, the decimal point must be followed by two digits. The first digit after the decimal represents the number of dimes; the second digit represents the number of pennies. = means is equal to < means is less than < 12. ten dimes > means is greater than three dimes one dollar seven dimes Math Journal 1, p. 17 001-029_EMCS_S_SMJ_G3_U01_576353.indd 17 62 WHOLE-CLASS ACTIVITY 4/18/11 2:59 PM Unit 1 Routines, Review, and Assessment Remind children that 0.45 is an example of a decimal. The period between the 0 and the 4 is called a decimal point. Repeat the process with 55 cents. Then dictate several amounts for children to record on their slates. Adjusting the Activity Provide coins for children to use during the lesson. AUDITORY ● 1 dollar and 18 cents $1.18 Circle the digit that shows the number of dollars. The first 1 ● 2 dollars and 47 cents $2.47 Circle the digit that shows the number of pennies. 7 ● 13 dollars and 80 cents $13.80 Circle the digit that shows the number of $10 bills. 1 ● 4 dollars and 6 cents $4.06 Circle the digit that shows the number of dimes. 0 ● 8 cents $0.08 Circle the digit that shows the number of dollars. The first 0 KINESTHETIC TACTILE VISUAL $1.28 is less than $1. 40 $1.28 < $1. 40 $1. 40 is greater than $1.28 $1. 40 > $1.28 Continue until most children seem comfortable with writing amounts in dollars-and-cents notation. 25 > 20 Ongoing Assessment: Informing Instruction Watch for children who write money amounts with both the $ and ¢, as in $3.45¢. Remind them that when the $ sign and decimal point are used, it is not necessary to use the ¢ sign. Reviewing the > and < Symbols 20 < 25 WHOLE-CLASS DISCUSSION PROBLEM PRO P RO R OB BLE BL LE L LEM EM SO S SOLVING OL O LV VIN IN ING Algebraic Thinking Ask children which amount is smaller—$1.28 or $1.40. $1.28 Write “$1.28 is less than $1.40” on the board. ● What is the symbol for is less than? < Write “$1.28 < $1.40” under the first statement. ● What is the symbol for is greater than? > Write “$1.40 is greater than $1.28” with “$1.40 > $1.28” under it. 25 25 20 Demonstrations of > and < symbols Ask children to share their strategies for remembering the meaning of > and <. Dictate two amounts, which children write on their slates with space between. Children then write the correct relation symbol between the numbers. Suggestions: $2.42 > $2.04; $13.30 > $3.08; $5.62 < $18.98. Repeat as needed. 20 Adjusting the Activity A number of strategies can help with remembering the meaning of the > and < symbols. • Use various animal analogies, such as the mouth must be open to swallow the bigger number. • The less than symbol looks like the finger and thumb of the left hand. (Point out that less and left have the same first letter.) • Draw two dots by the larger number and one dot by the smaller number. Connect each of the two dots to the single dot, and the symbol will be oriented correctly. AUDITORY KINESTHETIC TACTILE Lesson 1 10 VISUAL 63 Practicing Skills with Money Student Page Date Time LESSON Using Coins 1 10 䉬 INDEPENDENT ACTIVITY (Math Journal 1, pp. 17 and 18; Student Reference Book, p. 212) continued 14. Circle the digit that represents dimes. PROBLEM PR PRO P RO R OBL BLE B LE L LEM EM SO S SOLVING OL O LV VIN IIN NG N G $17.6 3 Ask the class to turn to page 212 in the Student Reference Book. Review how a vending machine works: If the Exact Change light is on, you must put in the exact amount. If the light is off and you don’t have the exact amount, you may put in more than the exact amount, and the machine will make change. 15. Circle the digit that represents pennies. $18.3 4 16. Circle the digit that represents dimes. 3 5¢ 17. Jean wants to buy a carton of milk for 35¢. 15¢ How much change will she get from 2 quarters? Use ‰, Í, Â, and Î to show her change in two ways. Pose a making-change problem: Pretend that the Exact Change light is off. You want to buy a carton of grape juice for 45¢. How much change would you get if you put in a dollar bill? 55¢ Have children share their strategies. Sample answers: Í or  Try This Use the Drinks Vending Machine Poster on Student Reference Book, page 212. 18. Marcy wants to get a strawberry yogurt drink and a chocolate milk from the vending machine. She has only dollar bills. no a. If the Exact Change light is on, can she buy what she wants? b. If the Exact Change light is off, how many dollar bills will she put in the Possible strategies: Count up from 45¢. 2 machine? How much change will she get? $0.90 Find the difference between 45 pennies and 100 pennies. Change a dollar to ‰ ‰ ‰ Í Í Â and take away 45¢ (‰ Í Í), leaving ‰ ‰ Â, or 55¢. Math Journal 1, p. 18 Have children work on their own or with a partner to complete both journal pages. When most children have completed the pages, briefly go over the answers. 25› 10› 5› 1› 75› ‰ Í Â Î ‰‰‰ Adjusting the Activity ELL For problems in which the amounts are written in words or shown as coins, have children record the values above the words or illustrations (See margin). A U D I T O R Y K I N E S T H E T I C T A C T I L E Student Page Date Ongoing Assessment: Recognizing Student Achievement Time LESSON Interpreting a Pictograph 1 10 The pictograph shows how many fish each child caught on a fishing trip. Beth Maria KEY: V I S U A L Journal page 17 Problems 8–10 Use journal page 17 to assess children’s ability to compare values of coin and bill combinations. Children are making adequate progress if they are able to solve Problems 8–10 using coins. Some children may be able to complete Problems 11 through 13 using coins. Still others may be successful without the use of coins. Number of Fish Caught at Clear Lake Amy = 2 fish Max [Number and Numeration Goal 6] Chen Bill Answer each question. 1. How many fish did Amy catch? 2. How many fish did Chen catch? 3. How many fish did Bill catch? 2 8 10 Money skills will be revisited in Math Boxes exercises, but after Lesson 1-11, they will not be the focus of instruction. fish fish fish Beth Amy 6 6. How many more fish did Bill catch than Maria? 18 7. How many fish did Max and Bill catch altogether? 4. Who caught the greatest number of fish? 5. Who caught the least number of fish? more fish fish 8. Did the girls (Beth, Maria, and Amy) or the boys (Max, Chen, and Bill) catch more fish? Explain your answer. Sample answer: The boys caught more fish than the girls. The girls caught 18 and the boys caught 26. Math Journal 1, p. 18A EM3MJ1_G3_U01_1-29.indd 18A 64 12/29/10 4:34 PM Unit 1 Routines, Review, and Assessment Student Page 2 Ongoing Learning & Practice Interpreting Pictographs Date Time LESSON Drawing a Pictograph 1 10 Justin’s Boy Scout troop counted the number of white-tailed deer they saw each day during their camping trip. Their results are shown in the tally chart. WHOLE-CLASS ACTIVITY (Student Reference Book, pp. 88 and 89; Math Journal 1, pp. 18A and 18B) Remind children that data can be displayed in various ways. Ask: What are some ways that we have displayed data? Sample answers: Tally charts, line plots, bar graphs, line graphs Explain that a pictograph is another way to display data. A pictograph uses pictures or symbols to represent numbers. Read about and discuss the pictographs on Student Reference Book, pages 88 and 89. Distribute Math Journal 1, page 18A. Pose questions about the pictograph, Number of Fish Caught at Clear Lake. Ask: ● What does the pictograph show? Sample answer: It shows the number of fish each child caught at Clear Lake. ● What does each fish symbol in the pictograph represent? Sample answer: Each fish symbol represents 2 fish caught. ● How many fish did Amy catch? 2 fish ● How many fish did Chen catch? 8 fish Day of Week Number of Deer Monday //// Tuesday // Wednesday ////\ Thursday ////\ / Friday /// Use the data in the tally chart to finish the pictograph. Number of Deer the Scout Troop Saw Monday KEY: = 2 deer Tuesday Wednesday Thursday Friday 1. Write a question that can be answered from the pictograph. Sample answer: How many deer did the scouts count in all? Write a question that cannot be answered from the pictograph. 2. Sample answer: How many more deer did the scouts count on Sunday than on Monday? Math Journal 1, p. 18B EM3MJ1_G3_U01_1-29.indd 18B 12/29/10 4:34 PM Have children work independently or with a partner to complete Math Journal 1, pages 18A and 18B. Math Boxes 1 10 INDEPENDENT ACTIVITY (Math Journal 1, p. 19) Mixed Practice Math Boxes in this lesson are paired with Math Boxes in Lesson 1-12. The skill in Problem 6 previews Unit 2 content. Writing/Reasoning Have children write a response to the following: Explain how you found the median in Problem 2. I wrote the numbers in order from smallest to largest and found the middle number. Student Page Date Time LESSON 1 10 䉬 1. Math Boxes Write the number that is 10 more. 42 160 901 Home Link 1 10 59 120 INDEPENDENT ACTIVITY (Math Masters, p. 24) Home Connection Children cut out ads from newspapers or magazines that show the costs of items, arrange the items in order from least expensive to most expensive, and tape or glue them on the Home Link page. Children also practice addition and subtraction facts. 2. 52 170 911 69 130 Ages of 9 teachers: 30, 24, 49, 50, 38, 44, 40, 35, 51 median ⫽ maximum ⫽ 40 51 7 3. Write at least 5 names in the 1-box. 79 80 4. 1 Sample answers: It will snow next summer in the Amazon rainforest. We will never have school. Sample answers: one uno 1 8–7 1ⴛ1 92 14 15 5. Put these numbers in order from smallest to largest. 7,912 7,192 9,271 9,172 7,192 7,912 9,172 9,271 Describe 2 events that are impossible. 6. Fill in the missing numbers. 8 3 8 5 Unit ⫽3⫹5 ⫽8⫺5 ⫽5⫹3 ⫽8⫺3 50 51 20 Math Journal 1, p. 19 Lesson 1 10 65 Home Link Master Name Date HOME LINK Time 3 Differentiation Options Ad Hunt 1 10 䉬 Family Note The children have been working on dollars-and-cents notation (for example, $4.95). Help your child locate ads that clearly show prices. Please return this Home Link to school tomorrow. PARTNER ACTIVITY READINESS Playing Coin Top-It 1. Cut out four small advertisements from newspapers or magazines. Each ad must show the price of an item. 2. Put the ads in order from the least expensive item to the most expensive item. 3. Tape or glue your four ads in order on this page. 4. Bring extra ads to school to add to the Numbers All Around Museum. Practice Unit 5. Solve. 6 ⫹ ⫺ 6 12 12 5 10 6 ⫹5 10 ⫺5 5 6 6. 13 ⫺ 7 ⫽ 6 5 ⫹ 9 ⫽ 14 11 ⫽ 9 ⫹ 15–30 Min (Math Masters, p. 403; Student Reference Book, p. 270) 2 12 ⫺ 4 ⫽ 8 To provide experience with comparing totals for coin combinations, have children play Coin Top-It. Each player cuts apart a copy of Math Masters, page 403. Partners combine their cards to play Coin Top-It. If necessary, review the directions to Addition Top-It in the Student Reference Book and explain that players will use coin combination cards instead of number cards. SMALL-GROUP ACTIVITY ENRICHMENT Sharing Money 5–15 Min (Math Masters, pp. 25 and 399) Math Masters, p. 24 To apply children’s understanding of money concepts, have them work with coins and bills to solve a number story involving making change. They record their answers on Math Masters, page 25. Planning Ahead In Lesson 1-13, you will need data about the time the sun rises and sets. Collect this data each day until you start Lesson 1-13. You can find the information in local newspapers, on local newscasts, and on the Internet (www.sunrisesunset.com). Then fill in the table on Math Masters, page 404. Leave the Length of Day column blank. Prepare the class Sunrise/Sunset Chart. (See pages 910 and 911 in Volume 2 of the Teacher’s Lesson Guide.) Teaching Master Name LESSON 1 10 䉬 Date Time Sharing Money Six friends found five $1–bills. They turned them in to the lost-and-found at school. The school clerk told them that if no one claimed the money in a week, they could keep it. One week passed, and the six friends had to decide how to share the $5. Draw a picture to show how the children might have split the money. Use Î, Â, Í and ‰. Sample answer: ‰‰‰ÂÎÎÎ ‰‰‰ÂÎÎÎ ‰‰‰ÂÎÎÎ ‰‰‰ÂÎÎÎ ‰‰‰ÂÎÎÎ ‰‰‰ÂÎÎÎ Left over: ÎÎ Name LESSON 1 10 䉬 Date Time Sharing Money Six friends found five $1–bills. They turned them in to the lost-and-found at school. The school clerk told them that if no one claimed the money in a week, they could keep it. One week passed, and the six friends had to decide how to share the $5. Draw a picture to show how the children might have split the money. Use Î, Â, Í and ‰. Math Masters, p. 25 66 Unit 1 Routines, Review, and Assessment Date Time of Sunrise Time of Sunset Length of Day 9/12 6:24 a.m. 6:54 p.m. hr min 9/13 6:25 a.m. 6:52 p.m. hr min 9/14 6:26 a.m. 6:50 p.m. hr min 9/15 6:27 a.m. 6:48 p.m. hr min
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