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Unit 1: Topic 2:  Locating Irrational Numbers on a Number Line

Competencies

·         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