1

2 Welcome

3 0 1 2 3 4 5 6 7 8 9 10 1

4 2

5 3

6 4

7 5

8 3+2 0 1 2 3 4 5 6 7 8 9 10

9 3+2 0 1 2 3 4 5 6 7 8 9 10

10 3+2=5 0 1 2 3 4 5 6 7 8 9 10

11 7-3= 0 1 2 3 4 5 6 7 8 9 10

12 7-3= 0 1 2 3 4 5 6 7 8 9 10

13 7-3= 0 1 2 3 4 5 6 7 8 9 10

14 7-3=4 0 1 2 3 4 5 6 7 8 9 10

15 Hold everything! I think I’ve discovered our first clue. Follow me.

16 Sure enough! Would you look at that! 0 1 2

17 Sure enough! Would you look at that! 0 1 2

18 Sure enough! Would you look at that! 0 1 2

19 Sure enough! Would you look at that! 0 1 2

20 Sure enough! Would you look at that! 0 1 2

21 Sure enough! Would you look at that! 0 1 2

22 Sure enough! Would you look at that! 0 1 2

23 I can’t make any sense of it. How about you Spot? 0 1 2 ? Maybe I can help.

24 Oh! Hi Donna. Can you tell me something about plotting fractions on a number line? 0 1 2 Yes. It’s not that complicated. Let me explain.

25 On a number line, a unit has the value of 1. The red line represents one unit that starts at 0 and ends at 1. 0 1 2

26 This red line shows 2 units. The 2 units start at 0 and end at 2. 0 1 2

27 A unit can be split into equal parts. 0 1

28 Here is a unit. It has been split into 4 equal parts. Each part represents a fraction with a denominator of 4. 4

29 As we count the fractions along the number line we get… 0 1

30 As we count the fractions along the number line we get… 0404 0 1

31 As we count the fractions along the number line we get… Counting fractions 1414 0 1

32 As we count the fractions along the number line we get… 2424 0 1

33 As we count the fractions along the number line we get… 3434 0 1

34 As we count the fractions along the number line we get… 4 0 1

35 1414 3 4. 0 1 ? I just added a point on the number line. Let’s see if we can discover it’s name.

36 ? 0 1

37 Let’s count the pieces. 0 0 1

38 Plotting a point 1 0 1 Let’s count the pieces.

39 2 0 1 Let’s count the pieces.

40 3 0 1 Let’s count the pieces.

41 0 1

42 No problem, Lenny. Let’s look at some more examples. ? I’m confused! I still don’t understand how to plot a fraction on a number line.

43 0 1

44 I have placed a point on the number line. What is the name of this point? ? 0 1 Let’s count the thirds and find out.

45 I have placed a point on the number line. What is the name of this point? 0 Let’s count the thirds and find out. 0 1

46 I have placed a point on the number line. What is the name of this point? 1 Let’s count the thirds and find out. 0 1

47 I have placed a point on the number line. What is the name of this point? 2 Let’s count the thirds and find out. 0 1

48 I don’t know. 0 1

49

50 I have placed a point on the number line. What is the name of this point? ? Let’s count the fifths and find out. 0 1

51 I have placed a point on the number line. What is the name of this point? 0 Let’s count the fifths and find out. 0 1

52 I have placed a point on the number line. What is the name of this point? 1 Let’s count the fifths and find out. 0 1

53 I have placed a point on the number line. What is the name of this point? 2 Let’s count the fifths and find out. 0 1

54 I have placed a point on the number line. What is the name of this point? 3 Let’s count the fifths and find out. 0 1

55 The numerator is 3 Wait, I’ve got it. Uh… I forgot. 0 1

56 OK, students. Lenny really needs your help. Let’s work together and help him understand how he can plot fractions on a number line. Teachers, when you see this symbol check for understanding by randomly picking a student to respond to the question.

57 0 1 Here is a unit. It has been split into how many equal parts? Tell your partner. What is the denominator and what is the name of each piece? Tell your partner.

58 How far is this point from zero? What is the numerator, and what is the name of the point? Talk it over with your partner. 0 1

59

60 Here is a unit. It has been split into how many equal parts? Tell your partner. What is the denominator and what is the name of each piece? Tell your partner.

61 How far is this point from zero? What is the numerator, and what is the name of the point? Talk it over with your partner. 0 1

62 Good job! Now you will need your dry erase boards for the next part of the lesson. 0 1

63 This unit has been split into how many equal pieces? Write the number of pieces on your dry erase boards.

64 0 1 3

65 Now, how far is this point from zero? What is the numerator? Write it on your dry erase board.

66 0 1 2 The point is 2 parts of the distance from 0 to 1 so the numerator is 2. Now, what is the name of the fraction?

67 Now, let’s try another. 0 1

68 This unit has been split into 4 equal pieces, so 4 is the ______________. Is it the numerator or the denominator? Write your answer on your dry erase board.

69 0 1 OK, Lenny. Listen to the students. It looks like they can give you the answer to this one. It’s your turn students. Get ready to tell Lenny. This line has been split into 4 equal parts, so 4 is the… ?

70 Denominator

71 Good job Lenny. Thank you students. I’ve added a point to this number line. Can you tell me the name of the point? Write it on your dry erase board. 0 1 Denominator

72 Excellent Lenny. I think you’ve got it. Thank you students! 0 1

73 That’s all for now, boys and girls. You helped Lenny learn how to plot fractions on a number line. Now you can teach your friends and even your parents about plotting fractions on a number line.

74 Note to Teachers: Before you begin this presentation, please write denominator and numerator where students can refer to them on the board. These vocabulary words will not be defined before the lesson, but the definitions will be revealed as the lesson progresses. Credits: Clip Art courtesy of My Cute Graphics: http://www.mycutegraphics.com/ http://www.mycutegraphics.com/ The ideas for this presentation came from a workshop presented by Pam Hutchinson, Director, UC Davis Math Project and hosted by Vacaville Unified School District.