Class 07 Activity - Rational Numbers

 Activity - Rational Numbers

GROUP ACTIVITY

This activity involves finding rational numbers between two rational numbers.

Teacher will write about 20 pairs of rational numbers on the blackboard (at least half of them should be negative).

The student will pick out 2 pairs from these to work on.

(For example,) ^{(− 1)}/₂ and ^{( 1 )}/₄  is one pair and  ^{( −7 )}/₁₁  and ^{( −6 )}/₁₁  is another pair.

The student  will find  two rational numbers that lie between the two rational numbers of the first pair, like ^{(− 1)}/₄ and ⁰/₄ lie between ^{(− 1)}/₂ and ^{( 1 )}/₄. 

Now, he has to find two rational numbers that lie between ^{(− 1)}/₄ and ⁰/₄ . Suppose he writes ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂  lie between and ^{(− 1)}/₄ and ⁰/₄ .

 Now he has to find two rational numbers that lie between ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂. He can then find that ^{(− 5)}/₃₆  and ^{(− 4)}/₃₆ lie between ^{(− 2)}/₁₂  and ^{(− 1)}/₁₂. 

 

Similarly, he has to find two rational numbers between the two rational numbers of the second chosen pair.

Then again he has to find two  rational numbers between those two and again two more numbers between those two numbers.

Since the number of pairs (of rational numbers) given to the students to choose from are limited, many other students too would pick the same pair of numbers. 

Thus, a comparison could be made of their results. 

A whole array of numbers can thus be found between two rational numbers which are given. 

All the results for a particular pair could be written on a chart and then displayed in the room.