Materials 1 paper fastener per student Scissors Clock and cards copied on cardstock Paper lunch bags, 1 per group Topic Using a clock Key Question What is your ending time after you’ve grabbed some minutes? Background Information Proficiency in telling time can be gained through hands-on practice. Using a playful format, students are asked to move the clock hands forward or backward a specified number of minutes. One means of doing this is to mentally add or subtract the number of minutes from the current time on the clock. Another means is simply by counting forwards or backwards while moving the hands of the clock. With the 5-minute cards, counting by fives can be reinforced. Attention must be paid to changing the hour hand position as well as the minute hand. Focus Students will gain proficiency in telling time by drawing cards and changing clock hands forwards or backwards the specified number of minutes. After a series of draws, the ending time can be checked with addition and subtraction. Guiding Documents Project 2061 Benchmarks • Numbers and shapes—and operations on them— help to describe and predict things about the world around us. • Tables and graphs can show how values of one quantity are related to values of another. • Add, subtract, multiply, and divide whole numbers mentally, on paper, and with a calculator. Management 1. Choose the card page which is most appropriate for your students’ skill level. The first set of cards has 5-minute increments all under one hour. The second set of cards has 1-minute increments under one hour, more of a challenge. The third set of cards has 5-minute increments of 60 minutes or more and requires some mental unit conversion from minutes to hours. The third set may be combined with the first set once students have developed proficiency. 2. Make copies of the clock page and the chosen card page on cardstock. You may wish to laminate the cards. Cut out the cards and place them in a lunch bag. NCTM Standards 2000* • Recognize the attributes of length, volume, weight, area, and time • Carr y out simple unit conversions, such as from centimeters to meters, within a system of measurement • Select and apply appropriate standard units and tools to measure length, area, volume, weight, time, temperature, and the size of angles • Develop fluency in adding, subtracting, multiplying, and dividing whole numbers Procedure 1. Inform students that they will be using a homemade clock and some cards to play a time game. Distribute the clock page and have students assemble the clock. 2. Ask someone to give the class a starting time that is on the hour, such as 3:00. Direct the class to set their clocks to that time. (In subsequent games, students could start on the half hour or a 5-minute increment.) 3. Give students the recording page. Instruct them to write the starting time in the table. Math Measurement time unit conversion (60-Minute Plus Cards) Whole number operations addition, subtraction Mental math Integrated Processes Observing Collecting and recording data Comparing and contrasting Applying 1 © 2005 AIMS Education Foundation 8. Continue with another round of the game as a class or divide into small groups, each having a grab bag of cards and picking their own starting times. This may also be done as a center. 4. Have a student draw a card from the bag and read it aloud. Guide the class in changing their clocks to reflect the card’s direction. Ask, “What time is it now?” To assess students’ success or problems as you go through the activity, have them hold up their clocks after each move. 5. Show students how to record in the table. Explain that “FORWARD 15 minutes” can be abbreviated to “F-15” in the table. Likewise, “BACK 20 minutes” can be recorded as “B-20.” This saves time and is helpful for students with language difficulties. 6. Continue having students draw cards, changing their clocks, and recording each step until the table is complete. Point out that, while they are focusing on minutes, changes will need to be made to the position of the hour hand as well. 7. Teach students how to assess their own work, if appropriate. Have them add all the “FORWARD” minutes in one problem and all the “BACK” minutes in another problem. Find the difference between these two answers and recognize whether “FORWARD” or “BACK” is in the lead. Accordingly, add or subtract this amount from the starting time. This gives the correct ending time. Discussion 1. Was it easier for you to use the clock or add and subtract the time? Explain. 2. Why is it sometimes difficult to add and subtract the time? 3. When might you come across a situation in which you have to add minutes to a starting time? [baking cookies, returning a phone call, etc.] 4. When might you come across a situation in which you have to subtract minutes? [knowing how much time remains before recess or a special television program, etc.] Extensions 1. If your students need a further challenge, make your own cards which combine 1-minute intervals with numbers greater than one hour. Examples might include 68 minutes, 84 minutes, 71 minutes, and 127 minutes. 2. This same format can be adapted to moving forwards and backwards a specified number of days or weeks on a calendar. Example: 3:00 F-20 3:20 F-45 4:05 B-25 3:40 F-10 3:50 B-50 3:00 B-20 2:40 F-15 2:55 F-30 3:25 Forward 1 20 45 10 15 + 30 120 start TIME Curriculum Correlation Literature Axelrod, Amy. Pigs on a Blanket: Fun with Math and Time. Aladdin Paperbacks (Simon & Schuster). New York. 1996. (Mentally add the time it takes for a family of pigs to travel to the beach, with many diversions along the way.) * Reprinted with permission from Principles and Standards for School Mathematics, 2000 by the National Council of Teachers of Mathematics. All rights reserved. end CARD Back Difference 25 50 + 20 95 120 F – 95 B 25 25 minutes F According to the calculations, if 3:00 is the starting time, the ending time should be 3:25. 2 © 2005 AIMS Education Foundation Key Question What is your ending time after you’ve grabbed some minutes? Learning Goal gain proficiency in telling time by drawing cards and changing clock hands forwards or backwards the specified number of minutes. 3 © 2005 AIMS Education Foundation Set your clock to the starting time. Draw a card and move the clock hands to the new time. Record in the table. start TIME TIME start CARD end end CARD 4 © 2005 AIMS Education Foundation " " 5 © 2005 AIMS Education Foundation Five-Minute Cards 15 minutes 25 minutes 10 minutes 30 minutes 40 minutes 25 minutes 20 minutes 10 minutes 50 minutes 55 minutes 30 minutes 45 minutes 45 minutes 20 minutes 15 minutes 6 © 2005 AIMS Education Foundation One-Minute Cards 3 minutes 9 minutes 7 minutes 17 minutes 12 minutes 23 minutes 11 minutes 8 minutes 14 minutes 24 minutes 4 minutes 33 minutes 32 minutes 19 minutes 16 minutes 7 © 2005 AIMS Education Foundation 60-Minute Plus Cards 2 hours, 30 minutes 120 minutes 80 minutes 75 minutes 70 minutes 150 minutes 60 minutes 80 minutes 90 minutes 90 minutes 2 hours, 15 minutes 120 minutes 100 minutes 60 minutes 75 minutes 8 © 2005 AIMS Education Foundation Connecting Learning 1. Was it easier for you to use the clock or add and subtract the time? Explain. 2. Why is it sometimes difficult to add and subtract the time? 3. When might you come across a situation in which you have to add minutes to a starting time? 4. When might you come across a situation in which you have to subtract minutes? 9 © 2005 AIMS Education Foundation