Estimation Clipboard

By: Steve Wyborney

SLIDESMANIA.COM

SLIDESMANIA.COM

Tips for Using The Estimation Clipboard�

1. When the first image (of 4) appears, invite the class to share some estimates aloud. Typically, a few students will offer some estimates. Don’t spend much time on the first image. After you have received a few responses, reveal the answer.

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• Make a mental note: If you hear answers from a small number of students, you are also hearing silence from nearly all of your class. Anticipate engaging all students in mathematical reasoning by the time you reach the third image.

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• When the second image appears, invite the class to share some estimates aloud again. You will likely hear estimates from more students than the first time. You may want to spend a little more time on the second image, but the power of The Estimation Clipboard is yet to come.

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• When the third image appears, change your approach. Remember, you haven’t heard from several students at this point, but everyone’s context is growing. When you show the third image, instead of asking for answers aloud have all of the students write down their estimate. Then have them discuss these two questions with a partner: “What was your estimate? Why did you choose it?” Listen carefully to the reasoning.

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• When the moment is right, reveal the third answer. Notice how your students are becoming increasingly engaged in the estimation process. That’s partly because you are re-inviting them into a growing context. It’s also because they have engaged in writing and discussion. The moment of writing has become a springboard for discussion. They have been given space to voice their ideas, and they are learning more about their ideas as they discuss them.

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• When the fourth image appears, repeat the process from the previous step. Everyone in the classroom writes down their estimate, and then everyone tells their partner what estimate they chose and why they chose it. Expect the conversation to take a little longer here and notice that the conversations about the estimates – and about estimation itself – are becoming more detailed. You may see several students pointing to the screen during their discussions.

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• When you reveal the final answer, listen to your class. Simply listen. Just take a moment to notice.

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• Eventually , perhaps after you have tried several sets , introduce the concept of using a range to estimate – rather than using a single number. Look for opportunities to encourage your students to self-select whether a range or a single number would be more useful.

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• As a learner yourself, engage in the process. Be a wonderer in front of your students. If you want a good question to wonder about, begin with this one: “What is estimation?”

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• Enjoy the journey and feel free to share your learning experiences with others! You can find me on Twitter @stevewyborney

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25 glass gems

The Reveal

How many glass gems are in the glass?

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25 glass gems

14 glass gems

The Reveal

51 glass gems

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37 glass gems

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47 glass gems

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How many glass gems are in the vase?

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47 glass gems

65 glass gems

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18 glass gems

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34 glass gems

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11 glass gems

How many glass gems are in the glass?

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11 glass gems

19 glass gems

The Reveal

27 glass gems

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40 glass gems

The Reveal

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37 glass gems

The Reveal

How many glass gems are in the jar?

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37 glass gems

68 glass gems

The Reveal

22 glass gems

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51 glass gems

The Reveal

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23 inches

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What is the length of the string in whole inches?

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23 inches

14 inches

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11 inches

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18 inches

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18 inches

The Reveal

What is the length of the string in whole inches?

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18 inches

25 inches

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21 inches

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14 inches

The Reveal

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23 inches

The Reveal

What is the length of the string in whole inches?

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23 inches

20 inches

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32 inches

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28 inches

The Reveal

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44 inches

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What is the length of the string in whole inches?

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44 inches

51 inches

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33 inches

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39 inches

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29 marbles

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How many marbles are in the bowl?

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29 marbles

14 marbles

The Reveal

75 marbles

The Reveal

51 marbles

The Reveal

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37 marbles

The Reveal

How many marbles are in the cup?

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37 marbles

48 marbles

The Reveal

15 marbles

The Reveal

24 marbles

The Reveal

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40 marbles

The Reveal

How many marbles are in the cup?

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40 marbles

26 marbles

The Reveal

67 marbles

The Reveal

52 marbles

The Reveal

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41 marbles

The Reveal

How many marbles are in the jar?

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41 marbles

32 marbles

The Reveal

16 marbles

The Reveal

23 marbles

The Reveal

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28 dice

The Reveal

How many dice are being held by the cup?

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28 dice

17 dice

The Reveal

33 dice

The Reveal

22 dice

The Reveal

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43 dice

The Reveal

How many dice are being held by the vase?

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43 dice

24 dice

The Reveal

52 dice

The Reveal

36 dice

The Reveal

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53 dice

The Reveal

How many dice are being held by the vase?

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53 dice

31 dice

The Reveal

44 dice

The Reveal

67 dice

The Reveal

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45 dice

The Reveal

How many dice are being held by the jar?

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45 dice

21 dice

The Reveal

58 dice

The Reveal

31 dice

The Reveal

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193 glass gems

The Reveal

How many glass gems are being held by the vase?

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193 glass gems

116 glass gems

The Reveal

74 glass gems

The Reveal

147 glass gems

The Reveal

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69 glass gems

The Reveal

How many glass gems are being held by the vase?

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69 glass gems

92 glass gems

The Reveal

45 glass gems

The Reveal

126 glass gems

The Reveal

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54 glass gems

The Reveal

How many glass gems are being held by the glass?

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54 glass gems

88 glass gems

The Reveal

21 glass gems

The Reveal

34 glass gems

The Reveal

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30 glass gems

The Reveal

How many glass gems are being held by the cup?

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30 glass gems

83 glass gems

The Reveal

53 glass gems

The Reveal

67 glass gems

The Reveal

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10 inches

The Reveal

What is the length of the yarn in whole inches?

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10 inches

6 inches

The Reveal

13 inches

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8 inches

The Reveal

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12 inches

The Reveal

What is the length of the yarn in whole inches?

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12 inches

14 inches

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7 inches

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16 inches

The Reveal

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19 inches

The Reveal

What is the length of the yarn in whole inches?

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19 inches

13 inches

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21 inches

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24 inches

The Reveal

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23 inches

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What is the length of the yarn in whole inches?

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23 inches

29 inches

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33 inches

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38 inches

The Reveal

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24 objects

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How many objects are in the container?

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24 objects

11 objects

The Reveal

29 objects

The Reveal

17 objects

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28 inches

The Reveal

What is the length of the rope in whole inches?

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22 inches

37 inches

32 inches

The Reveal

The Reveal

The Reveal

28 inches

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28 inches

The Reveal

What is the length of the rope in whole inches?

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22 inches

37 inches

32 inches

The Reveal

The Reveal

The Reveal

28 inches

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52 cm

The Reveal

What is the length of the yarn in centimeters?

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47 cm

63 cm

40 cm

52 cm

The Reveal

The Reveal

The Reveal

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47 dice

The Reveal

How many dice are inside the glass?

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57 dice

62 dice

36 dice

47 dice

The Reveal

The Reveal

The Reveal

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55 bingo balls

The Reveal

How many bingo balls are in the glass?

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42 bingo balls

68 bingo balls

31 bingo balls

The Reveal

The Reveal

The Reveal

55 bingo balls

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The Difference

The difference is 7 glass gems.

What is the difference?

How many are in each cup?

?

19 glass gems

?

26 glass gems

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The Difference

The difference is 4 glass gems.

What is the difference?

How many are in each cup?

?

41 glass gems

?

37 glass gems

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The Difference

The difference is 18 glass gems.

What is the difference?

How many are in each cup?

?

50 glass gems

?

68 glass gems

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The Difference

The difference is 36 glass gems.

What is the difference?

How many are in each cup?

?

114 glass gems

?

78 glass gems

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The Difference

The difference is 5 glass gems.

What is the difference?

How many are in each glass?

?

14 glass gems

?

19 glass gems

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The Difference

The difference is 8 glass gems.

What is the difference?

How many are in each glass?

?

31 glass gems

?

23 glass gems

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The Difference

The difference is 42 glass gems.

What is the difference?

How many are in each glass?

?

61 glass gems

?

19 glass gems

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The Difference

The difference is 6 glass gems.

What is the difference?

How many are in each glass?

?

75 glass gems

?

81 glass gems

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The Difference

The difference is 8 glass gems.

What is the difference?

How many are in each bowl?

?

11 glass gems

?

19 glass gems

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The Difference

The difference is 6 glass gems.

What is the difference?

How many are in each bowl?

?

25 glass gems

?

31 glass gems

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The Difference

The difference is 17 glass gems.

What is the difference?

How many are in each bowl?

?

60 glass gems

?

43 glass gems

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The Difference

The difference is 44 glass gems.

What is the difference?

How many are in each bowl?

?

95 glass gems

?

51 glass gems

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The Difference

The difference is 8 glass gems.

What is the difference?

How many are in each vase?

?

17 glass gems

?

25 glass gems

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The Difference

The difference is 13 glass gems.

What is the difference?

How many are in each vase?

?

41 glass gems

?

28 glass gems

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The Difference

The difference is 17 glass gems.

What is the difference?

How many are in each vase?

?

55 glass gems

?

38 glass gems

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The Difference

The difference is 55 glass gems.

What is the difference?

How many are in each vase?

?

56 glass gems

111 glass gems

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The total is 25 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

5 glass gems

?

8 glass gems

?

12 glass gems

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The total is 34 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

7 glass gems

?

11 glass gems

?

16 glass gems

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The total is 53 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

12 glass gems

?

18 glass gems

?

23 glass gems

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The total is 62 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

9 glass gems

?

21 glass gems

?

32 glass gems

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The total is 54 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

22 glass gems

?

14 glass gems

?

18 glass gems

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The total is 86 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

27 glass gems

?

36 glass gems

?

23 glass gems

www.stevewyborney.com

The total is 108 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

44 glass gems

?

39 glass gems

?

25 glass gems

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The total is 154 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

52 glass gems

?

41 glass gems

?

61 glass gems

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The total is 34 marbles.

The Total

What is the total number of marbles?

How many are in each bowl?

?

9 marbles

?

10 marbles

?

15 marbles

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The total is 47 marbles.

The Total

What is the total number of marbles?

How many are in each bowl?

?

14 marbles

?

12 marbles

?

21 marbles

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The total is 68 marbles.

The Total

What is the total number of marbles?

How many are in each bowl?

?

17 marbles

?

27 marbles

?

24 marbles

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The total is 102 marbles.

The Total

What is the total number of marbles?

How many are in each bowl?

?

23 marbles

?

51 marbles

?

28 marbles

www.stevewyborney.com

The total is 43 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

14 glass gems

?

8 glass gems

?

21 glass gems

www.stevewyborney.com

The total is 53 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

19 glass gems

?

23 glass gems

?

11 glass gems

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The total is 77 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

21 glass gems

?

29 glass gems

?

27 glass gems

www.stevewyborney.com

The total is 80 glass gems.

The Total

What is the total number of glass gems?

How many are in each bowl?

?

43 glass gems

?

16 glass gems

?

21 glass gems

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