Relevant and Irrelevant Information
Lesson
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A recipe which serves six people uses  2 cups of sugar, 3 eggs, 1 1/2 cups of flour and a tbsp. of vanilla.  If Mary wanted to serve 8 people how many eggs would she need.

Let's list all of the information, and classify it as either relevant or irrelevant.

The recipe serves 6 people.                      Relevant

The recipe uses 2 cups of sugar.              Irrelevant

The recipe uses 3 eggs.                             Relevant

The recipe uses 1 1/2 cups of flour.        Irrelevant

The recipe uses 1 tbsp. of vanilla.            Irrelevant

Mary wants to serve 8 people.                 Relevant

Once we see what information is important (relevant) it's easy to see how to solve the problem. 

Since the original recipe uses 3 eggs to serve 6 people, we have a ratio of 3 to 6. Simplifying that ratio (treat it as a fraction and reduce) we see the ratio of eggs to people is 1 egg for every 2 people. Another way of looking at the ratio is that it takes half as many eggs as there are people.  Since we are cooking for 8 people we will need 4 eggs!

Let's look at one more example.

In triangle ABC, the three sides are 14 cm., 23 cm., and 31 cm. respectively.  The height of the triangle is 9 cm..  Find the perimeter of the triangle.

Again, list the relevant and irrelevant information:

Triangle ABC.                                                Relevant

3 sides are; 14, 23, and 31cms.                   Relevant

The height is 9 cm.                                      Irrelevant

Find the perimeter of the triangle.           Relevant

Since finding the perimeter involves adding together the lengths of all of the sides of a polygon, finding the perimeter of triangle ABC means we set up the following problem:

14 + 23 + 31 = ?

14 + 23 + 31 = 68

The perimeter of the triangle is 68 cms.!

Let's try some on your own!
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Updated by Carol Carroll
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