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Prepare 3x5
cards with a variety of numbers, both rational and irrational.
For example,
Give each student a card and ask the
class to arrange themselves around the room in numerical order.
(You may wish to allow students to use their
calculators when determining their place in the number line.)
This very quick activity will help
students obtain a feeling of how numbers are related to one
another. It is particularly valuable in allowing students to see
how rational and irrational numbers compare.
There are many additional activities which
also utilize these cards:
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Ask all of the students holding
"irrational" numbers to move to one side of the room, and
all students holding "rational" numbers to move to the
opposite side of the room.
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Ask 5 students to stand in the front of
the room in numerical order. You, the teacher, holding a card,
position yourself in the number line. Ask the class if you are
standing in the correct numerical location. This could also be a
small quiz or extra credit activity.
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Ask 2 students to stand in the front of
the room. Ask the class to determine the size of the interval
between the two numerical values.
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Shuffle the cards and ask the students
to place themselves in numerical order a second time.
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When the students are lined up in
numerical order, ask all of the students to step forward whose number:
-- is a multiple of 2.
-- is an irrational number.
-- is an odd number.
-- can be expressed as a fraction.
-- etc.
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There are many possibilities -
let your imagination guide you. |

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