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Mathematics Resources

Fraction: one over two

Fraction: two over two

Fraction: one over three

Fraction: two over three

Fraction: three over three

Fraction: one over four

Fraction: two over four

Fraction: three over four

Fraction: four over four

Fraction: one over five

Fraction: two over five

Fraction: three over five

Fraction: four over five

Fraction: five over five

Fraction: one over six

Fraction: two over six

Fraction: three over six

Fraction: four over six

Fraction: five over six

Fraction: six over six

Fraction: one over eight

Fraction: two over eight

Fraction: three over eight

Fraction: four over eight

Fraction: five over eight

Fraction: six over eight

Fraction: seven over eight

Fraction: eight over eight

Fraction: one over nine

Fraction: two over nine

Fraction: three over nine

Fraction: four over nine

Fraction: five over nine

Fraction: six over nine

Fraction: seven over nine

Fraction: eight over nine

Fraction: nine over nine

Fraction: one over ten

Fraction: two over ten

Fraction: three over ten

Fraction: four over ten

Fraction: five over ten

Fraction: six over ten

Fraction: seven over ten

Fraction: eight over ten

Fraction: nine over ten

Fraction: ten over ten

Fraction: one over twelve

Fraction: two over twelve

Fraction: three over twelve

Fraction: four over twelve

Fraction: five over twelve

Fraction: six over twelve

Fraction: seven over twelve

Fraction: eight over twelve

Fraction: nine over twelve

Fraction: ten over twelve

Fraction: eleven over twelve

Fraction: twelve over twelve

0

1

.1

.2

.3

.4

.5

.6

.7

.8

.9

1.0

.01

.02

.03

.04

.05

.06

.07

.08

.09

.10

.11

.12

.13

.14

.15

.16

.17

.18

.19

.20

.21

.22

.23

.24

.25

.26

.27

.28

.29

.30

.31

.32

.33

.34

.35

.36

.37

.38

.39

.40

.41

.42

.43

.44

.45

.46

.47

.48

.49

.50

.51

.52

.53

.54

.55

.56

.57

.58

.59

.60

.61

.62

.63

.64

.65

.66

.67

.68

.69

.70

.71

.72

.73

.74

.75

.76

.77

.78

.79

.80

.81

.82

.83

.84

.85

.86

.87

.88

.89

.90

.91

.92

.93

.94

.95

.96

.97

.98

.99

1.00

.166

.125

.375

.625

.83

.875

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

25%

75%

33%

66%

83%

37.5%

62.5%

16.6%

11%

12%

2.5%

55%

65%

49.8%

 

 

 

This activity works well as a warm-up activity at the beginning of class.  Once you have your classroom procedures down, it will probably take about 3 to 5 minutes, then you can start your lesson for the day.

Begin by hanging a string along one wall of your room to serve as a number line.  Copy, laminate, and cut out one set of cards.  Punch a hole in both the top and the bottom of the card. 

Each day, have a student draw a card out of a basket.  Then, have the student place the card on the string number line using a paper clip hanger.  The student will need to use proportional reasoning to determine where his or her card should be placed.  Students could work in pairs instead of individually for this part of the activity.  Next, have a brief class discussion to determine if the class agrees or disagrees with the placement of the card. 

You as the teacher may choose to place the “0” and the “1”.  However, you might choose to let the “0” and the “1” be the first cards to be placed, and let the students place them.   Later in the year after all of the cards have been placed, you might choose to start over…however this time, hold off on the placement of the “1” and enrich the classroom discussions!

The blank cards are for extending the activity.  For example, you might give a student a blank card and ask him or her to generate a fraction between 2 given fractions already placed on the string number line.