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The One Penny Whiteboard

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1 The One Penny Whiteboard
Ongoing, “in the moment” assessments may be the most powerful tool teachers have for improving student performance. For students to get better at anything, they need lots of quick rigorous practice, spaced over time, with immediate feedback. The One Penny Whiteboards can do just that. ©Bill Atwood 2014

2 To add the One Penny White Board to your teaching repertoire, just purchase some sheet protectors and white board markers (see the following slides). Next, find something that will erase the whiteboards (tissues, napkins, socks, or felt). Finally, fill each sheet protector (or have students do it) with 1 or 2 sheets of card stock paper to give it more weight and stability. ©Bill Atwood 2014

3 ©Bill Atwood 2014

4 ©Bill Atwood 2014

5 On Amazon, markers can be found as low as $0. 63 each
On Amazon, markers can be found as low as $0.63 each. (That’s not even a bulk discount. Consider “low odor” for students who are sensitive to smells.) ©Bill Atwood 2014

6 I like the heavy-weight model.
©Bill Atwood 2014

7 On Amazon, Avery protectors can be found as low as $0.09 each.
©Bill Atwood 2014

8 One Penny Whiteboards and
The Templates The One Penny Whiteboards have advantages over traditional whiteboards because they are light, portable, and able to contain a template. (A template is any paper you slide into the sheet protector). Students find templates helpful because they can work on top of the image (number line, graph paper, hundreds chart…) without having to draw it first. For more templates go to ©Bill Atwood 2014

9 Using the One Penny Whiteboards
There are many ways to use these whiteboards. One way is to pose a question, and then let the students work on them for a bit. Then say, “Check your neighbor’s answer, fix if necessary, then hold them up.” This gets more students involved and allows for more eyes and feedback on the work. ©Bill Atwood 2014

10 Using the One Penny Whiteboards
Group Game One way to use the whiteboards is to pose a challenge and make the session into a kind of game with a scoring system. For example, make each question worth 5 possible points. Everyone gets it right: 5 points Most everyone (4 fifths): 4 points More than half (3 fifths): 3 points Slightly less than half (2 fifths): 2 points A small number of students (1 fifth): 1 point Challenge your class to get to 50 points. Remember students should check their neighbor’s work before holding up the whiteboard. This way it is cooperative and competitive. ©Bill Atwood 2014

11 Using the One Penny Whiteboards
Without Partners Another way to use the whiteboards is for students to work on their own. Then, when students hold up the boards, use a class list to keep track who is struggling. After you can follow up later with individualized instruction. ©Bill Atwood 2014

12 Keep the Pace Brisk and Celebrate Mistakes
However you decide to use the One Penny Whiteboards, keep it moving! You don’t have to wait for everyone to complete a perfect answer. Have students work with the problem a bit, check it, and even if a couple kids are still working, give another question. They will work more quickly with a second chance. Anytime there is an issue, clarify and then pose another similar problem. Celebrate mistakes. Without them, there is no learning. Hold up mistakes and say, “Now, here is an excellent mistake–one we can all learn from. What mistake is this? Why is this tricky? How do we fix it?” ©Bill Atwood 2014

13 The Questions Are Everything!
The questions you ask are critical. Without rigorous questions, there will be no rigorous practice or thinking. On the other hand, if the questions are too hard, students will be frustrated. They key is to jump back and forth from less rigor to more rigor. Also, use the models written by students who have the correct answer to show others. Once one person gets it, they all can get it. ©Bill Atwood 2014

14 Questions When posing questions for the One Penny Whiteboard, keep several things in mind: Mix low and high level questions Mix the strands (it may be possible to ask about fractions, geometry, and measurement on the same template) Mix in math and academic vocabulary (Calculate the area… use an expression… determine the approximate difference) Mix verbal and written questions (project the written questions onto a screen to build reading skills) Consider how much ink the answer will require and how much time it will take a student to answer (You don’t want to waste valuable ink and you want to keep things moving.) To increase rigor you can: work backwards, use variables, ask “what if”, make multi-step problems, analyze a mistake, ask for another method, or ask students to briefly show why it works ©Bill Atwood 2014

15 Examples What follows are some sample questions that relate to understanding measuring time as outlined in 3 MD1. ©Bill Atwood 2014

16 Slides 20-41 deal with writing and telling time to the nearest minute.
Slides are solving word problems with adding and subtracting time intervals and using a number line diagram. Slides problems with 2 clocks. Slides are line plot problems with time. The last 5 slides review fractions on a clock/circle. ©Bill Atwood 2014

17 Examples Each of these problems can be solved on the One Penny Whiteboard. To mix things up, you can have students “chant” out answers in choral fashion for some rapid fire questions. You can also have students hold up fingers to show which answer is correct. Sometimes, it makes sense to have students confer with a neighbor before answering. Remember, to ask verbal follow-ups to individual students: Why does that rule work? How do you know you are right? Is there another way? Why is this wrong? ©Bill Atwood 2014

18 Examples Copy the following graph paper samples and have students insert it into their One Penny Whiteboards. ©Bill Atwood 2014

19 ©Bill Atwood 2014

20 ©Bill Atwood 2014

21 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x x x x x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014 ©Bill Atwood 2014

22 Show 7:15 PM on the clock. Label the time.
Quarter past seven in the evening. Show 7:15 PM on the clock. Label the time. Erase! ©Bill Atwood 2014

23 Show 8:30 PM on the clock. Label the time.
Half past eight in the evening Show 8:30 PM on the clock. Label the time. Erase! ©Bill Atwood 2014

24 Show 9:05 PM on the clock. Label the time.
5 min after 9PM Show 9:05 PM on the clock. Label the time. Erase! ©Bill Atwood 2014 ©Bill Atwood 2014

25 Show 3:33 PM on the clock. Label the time.
Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

26 Show 9:58 PM on the clock. Label the time.
2 min before 10PM Show 9:58 PM on the clock. Label the time. Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

27 Show 6:13 PM on the clock. Label the time.
13 minutes past 6 PM 13 min after 6 PM Show 6:13 PM on the clock. Label the time. Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

28 Show 4:38 PM on the clock. Label the time.
22 minutes before 5:00 PM Show 4:38 PM on the clock. Label the time. Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

29 Joe thinks it is 10:55. Why is this wrong? Erase!
9:55 5 minutes till 10 5 min before 10 What time is this? Joe thinks it is 10:55. Why is this wrong? Erase! ©Bill Atwood 2014

30 Show 8:56 AM on the clock. Label the time. Why is this not 9:56?
4 minutes before 9:00 AM Show 8:56 AM on the clock. Label the time. Why is this not 9:56? Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

31 Show 11:14 AM on the clock. Label the time.
About a quarter past 11 AM Show 11:14 AM on the clock. Label the time. Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

32 11:05 5 minutes past 11 What time is it? Erase! ©Bill Atwood 2014

33 11:25 What time is it? Erase! ©Bill Atwood 2014 ©Bill Atwood 2014

34 A little after half past 2
2:32 A little after half past 2 What time is it? Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

35 9:28 It’s almost 9:30 What time is it? Erase! ©Bill Atwood 2014

36 Just a little after 1 O’Clock
1:02 Just a little after 1 O’Clock What time is it? Erase! ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

37 12:58 2 minutes before 1:00 What time is it? Erase! ©Bill Atwood 2014

38 6:58 2 minutes before 7:00 What time is it? Erase!
Fred said it was 7:58. What would 7:58 look like? What time is it? Erase! ©Bill Atwood 2014

39 9:15 Quarter past 9:00 What time is it? Erase! ©Bill Atwood 2014

40 7:15 Quarter past 7:00 What time is it? Erase! ©Bill Atwood 2014

41 2:15 Quarter past 2:00 What time is it? Erase! ©Bill Atwood 2014

42 Draw the time that is 15 minutes later. 9:55 + 15 minutes = 10:10
Show the time is 9:55 Draw the time that is 15 minutes later. 9: minutes = 10:10 ©Bill Atwood 2014

43 Brian school starts at 8:15 AM
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? ©Bill Atwood 2014

44 One way to solve this is to use the clock. Draw 8: 15 AM on the clock.
Since recess is 2 hours away, imagine adding two hours to the hour hand. ©Bill Atwood 2014 ©Bill Atwood 2014

45 Then add 30 minutes to the minute hand
Then add 30 minutes to the minute hand. Since adding the 30 minutes doesn’t take you to a new hour, you’re done! Recess is at 10: 45. (Since it’s 10:45 you might want to adjust the hour hand a little.) ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

46 There is another way to solve this problem using a number line.
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? There is another way to solve this problem using a number line. ©Bill Atwood 2014 ©Bill Atwood 2014

47 First, use your finger to divide the number line into about 10 equal sections. (it doesn’t have to be perfect!) Think of the time line or as a clock that has been unrolled! (Like a Fruit Roll Up) Time moving this way…. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

48 Brian school starts at 8:15 AM
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? Next, mark off the beginning time on the first notch of your number line. Time moving this way…. 8:15 Am ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

49 Brian school starts at 8:15 AM
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? Now, count off by 15 minutes until you get to 9:15 AM. That’s 1 hour. Mark that on the time line. 8:15 Am 8:30 Am 8:45 Am 9:00 Am 9:15 Am 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

50 You can keep going until you get up to 2 hours and 30 minutes!
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? You can keep going until you get up to 2 hours and 30 minutes! 8:15 Am 8:30 Am 8:45 Am 9:00 Am 9:15 Am 9:30 Am 9:45 Am 10:00 Am 10:15 Am 10:30 Am 10:45 Am 1 hr 1 hr 30 min ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

51 Brian school starts at 8:15 AM
Brian school starts at 8:15 AM. There are 2 hours and 30 minutes until recess. How long until recess? Recess is at 10:45 8:15 Am 8:30 Am 8:45 Am 9:00 Am 9:15 Am 9:30 Am 9:45 Am 10:00 Am 10:15 Am 10:30 Am 10:45 Am 1 hr 1 hr 30 min ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

52 Of course, you don’t have always label every 15 minute interval
Of course, you don’t have always label every 15 minute interval. Just use the number line to help you find the new time. 8:15 Am 8:30 Am 8:45 Am 9:00 Am 9:15 Am 9:30 Am 9:45 Am 10:00 Am 10:15 Am 10:30 Am 10:45 Am 1 hr 1 hr 30 min ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

53 Sally’s school starts at
9:45 AM. Her first two classes last 2 hours and 45 minutes. How long until recess? Use a number line to find the elapsed time! There are 2 hours and 45 minutes until recess! 9:45 AM 10:45 Am 11:45 Am 12:15 12 pm 12:30 1 hr 45 min 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

54 You might need practice just labeling the line and counting by 15 minutes.
With your partner, practice counting up and back from 8:15 to 11:00. Go by 15 minutes. 8:15 Am 8:30 Am 8:45 Am 9:00 Am 9:15 Am 9:30 Am 9:45 Am 10:00 Am 10:15 Am 10:30 Am 10:45 Am 11:00 Am ©Bill Atwood 2014

55 Now try counting by 1 hour. Start at 8:45 AM and go up to 8:45 PM.
With your partner, practice counting up and back from 8:00 to 11:00. Go by 15 minutes. 8:45 Am 10:45 12:45 pm 2:45 4:45 8:45 6:45 9:45 1:45 11:45 3:45 5:45 7:45 ©Bill Atwood 2014 ©Bill Atwood 2014

56 Now try counting by 30 Min. Start at 8:45 AM 2:45 PM.
9:45 10:45 11:45 12:45 2:45 1:45 9:15 11:15 10:15 12:15 PM 1:15 2:15 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

57 Now try counting by 5 Min. Start at 8:35 AM 9:35 PM.
8:45 8:55 9:05 9:15 9:35 9:25 8:40 9:00 8:50 9:10 9:20 9:30 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

58 Use a number line to find the elapsed time!
Olivia’s piano lesson starts at 3:45 and ends at 5:15. How long is her lesson? Use a number line to find the elapsed time! 1 hr and 30 min! 3:45 PM 4:45 Pm 5 Pm 5:15 Pm 30 Min 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

59 Carlos plays chess from 1:15 until 3:30. How long does he play?
Use a number line to find the elapsed time! 2 hr and 15 min! 1:15 PM 2:15 3:15 3:30 15 min 1 hr 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

60 Jamal loves to read. He reads before school from 7:15 until 8:00
Jamal loves to read. He reads before school from 7:15 until 8:00. Then he reads after school from 3:00 until 4:15. He also reads in bed from 8:00 until 8:45? How much does he read in all? Use a number line! 2 hr and 45 min! 7:15 Am 7:30 7:45 8:00 3:00 pm 4:00 4:15 8:00 8:45 15 min 45 min 45 min 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

61 Jacob practices basketball a lot
Jacob practices basketball a lot. He works on shooting from 7:15 until 7:45. Then after school he works on dribbling from 3:15 until 3:45. Later he works on layups from 6:30 until 7:15. How much time does Jacob spend on basketball? Use a number line! 1 hr and 45 min 7:15 Am 7:15 7:45 3:15 3:30 3:45 6:30 6:45 7:00 7:15 45 min 30 min 30 min ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

62 Min needs to know what time to wake up
Min needs to know what time to wake up. He must be at the school bus at 8:15 AM. It takes him 10 minutes to brush his teeth; 25 minutes to eat breakfast; and 15 minutes to walk to the bus. What time should he wake up? 10 min + 25 min + 15 min = 50 min 8:15 – 50 min = 7:25 Work backwards Bus leaves 7:25 Am 7:30 7:35 7:40 7:45 7:50 7:55 8:00 8:05 8:10 8:15 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

63 Chi wants to get to the movie on time. The movie starts at 7:15 PM
Chi wants to get to the movie on time. The movie starts at 7:15 PM. It takes 45 minutes to drive to the theatre and 30 minutes to get the tickets and the popcorn. What time should she leave? 45 min + 30 min = 75 min 75 minutes = 60 min + 15 min 7:15 – 75 min = 5:50 5:50 5:55 6:10 6:15 7:15 60 min 15 min ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

64 Find the difference between these two bedtimes.
Sarah’s Bed Time Jeff’s Bed Time Find the difference between these two bedtimes. ©Bill Atwood 2014

65 Sarah’s bed time = 8:15 Jeff’s bed time = 9:45 Sarah’s Bed Time
©Bill Atwood 2014 ©Bill Atwood 2014

66 Sarah’s Bed Time Jeff’s Bed Time 8:15 Am 8:30 Am 8:45 Am 9:00 Am
30 min 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014

67 Sarah’s Bed Time Jeff’s Bed Time 8:15 Am 8:30 Am 8:45 Am 9:00 Am
1 hour 30 minutes difference. Or 90 Min. 30 min 1 hr ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

68 On the first clock show 4:15. On the second clock show 4:45.
©Bill Atwood 2014

69 On the first clock show 6:45. On the second clock show 6:55.
©Bill Atwood 2014 ©Bill Atwood 2014

70 On the first clock show 3:35.
On the second clock show a time 10 minutes later. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

71 On the first clock show 11:15.
On the second clock show a time 8 minutes later. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

72 On the first clock show 1:22.
On the second clock show a time 8 minutes later. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

73 On the first clock show 9:35.
On the second clock show a time 10 minutes earlier. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

74 On the first clock show 10:15.
On the second clock show a time 2 hours earlier. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

75 On the first clock show 7:05.
On the second clock show a time 1 hour later. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

76 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x x x x x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014

77 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x How many students had a bed time of 8:45? x x x 6 students x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014 ©Bill Atwood 2014

78 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x How many students had a bed time later than 9:00 PM? x x x 2 students x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014

79 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x How many students had a bed time earlier than 8:45 PM? x x x 3 students x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014

80 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x What was the most common bedtime? x x x 8:45 PM x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014 ©Bill Atwood 2014

81 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x What time was the earliest bed time? x x x 8:35 PM x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014

82 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x What time was the latest bed time? x x x 9:20 PM x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014

83 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student What time was the difference between the earliest and latest bed times? x x x x 45 min x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 45 min ©Bill Atwood 2014

84 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student The 9:20 bedtime was lowered to 9:05. What is the difference between earliest and latest now? x x x x 30 min x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 30 min ©Bill Atwood 2014

85 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student Martha joined the class. Her bedtime was 25 minutes later 8:45. What time was her bedtime? Put it on the line plot. x x x x x x x 9:10 PM x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 20min 5min 10min 15min 25min ©Bill Atwood 2014 ©Bill Atwood 2014

86 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x Latoya joined the class. Her bedtime was 15 minutes earlier than 9:20. Add her bedtime to the line plot. x x x x x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014 ©Bill Atwood 2014

87 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x How many more students have a bedtime at 8:45 than 8:40? x x x 6 - 2 = 4 4 more students x x x x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 ©Bill Atwood 2014 ©Bill Atwood 2014

88 Line Plot of Bedtimes for 15 third graders.
x Key: each represents 1 student x Shelly’s bedtime is exactly half way between 8:50 and 9:20. What time is her bedtime? x x x x x x Shelly’s bedtime is 9:05 x x x x x x x x 8:35 PM 8:40 8:45 8:50 8:55 9:00 9:05 9:10 9:15 9:20 9:25 9:30 9:35 15 min 15 min 30 min

89 1/2 1/2 Divide the clock into 2 equal parts. Label each part with fractions. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

90 1/4 1/4 1/4 1/4 Divide the clock into 4 equal parts. Label each part with fractions. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

91 Divide the clock into 8 equal parts. Label each part with fractions.
1/8 1/8 1/8 1/8 1/8 1/8 1/8 1/8 Divide the clock into 8 equal parts. Label each part with fractions. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

92 1/3 1/3 1/3 Divide the clock into 3 equal parts. Label each part with fractions. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014

93 1/6 1/6 1/6 1/6 1/6 1/6 Divide the clock into 6 equal parts. Label each part with fractions. ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014 ©Bill Atwood 2014


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