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·
Identify
irrational numbers
·
Locate
some irrational numbers on a number line.
Suggested ways
of teaching this topic: Games and Presentation of the teacher
Using
games can make mathematics classes very enjoyable, exciting and interesting.
Mathematical games provide opportunities for students to be actively involved
in learning. Games allow students to experience success and satisfaction,
thereby building their enthusiasm and self-confidence. But mathematical games
are not simply about fun and confidence building. Games help students to:
·
Understand
mathematical concepts
·
Develop
mathematical skills
·
Know
mathematical facts
·
Learn
the language and vocabulary of mathematics
·
Develop
ability in mental mathematics.
Game: Locate
Irrational Numbers
(A
game for two players)
One player chooses an irrational number to
be located in between two consecutive integers by the other. The player who
locates the number quickly wins the game.
As a starter activity, you may ask
students to play the above game and then for consolidation and practice you may
give them some irrational numbers to be located in between two integers by the
students.
Lesson Notes
Example:
Locate negative square root of 14
between two consecutive integers on the number line.
Forget the negative for a moment. What
two numbers does the square root of 14 come between? As the square root of 9 is
3 and the square root of 16 is 4, the square root of 14 is somewhere between 3
and 4. Since the question says negative square root, it is between -3 and -4.
Practice
Exercises
Locate the following irrational numbers
between two consecutive integers on the number line.
a)
square
root of 21
b)
negative
square root of 75
c)
negative
square root of 118
d)
square
root of 232
e)
square
root of 600