Equivalent Fractions Introduction

Lesson Summary:

The lesson introduces the children to the numerator and denominator of fractions and explains the concept of equivalent fractions.  The reading is designed to be read by the children with the teacher facilitating.   If necessary, expand the use of sets in the first diagrams until all the children grasp the concept.  Activity A requires them to write the fraction of a shaded section of a circle and to give the equivalent fraction.  Activity B gives them the opportunity to identify equivalent fractions by identifying and dividing fractions by their common denominator.

Objectives:

• The children will be able to write a fraction which explains what section of a circle is shaded.
• The children will  understand and be able to name the numerator and denominator of a fraction.
• The children will be able to identify equivalent fractions.

Math

Lesson Excerpt:

What do we mean by equivalent?  When two things are equivalent they are equal or identical in value or meaning. For example, in math, if you have a set of four objects, that set is the same as, or equivalent to, two sets of two objects.

Now let’s look at the circles again, but this time we’ll divide them into fractions. In any fraction we have a numerator and a denominator. The numerator tells us the number of pieces in the fraction and the denominator tells us the number of pieces altogether. The following circle is divided into 6 equal sections.   In the second diagram the top three sections are colored red.  In other words, 3/6 of the circle is red.  3 is the numerator and 6 is the denominator. But if you look at the circle you can see that, in fact, half of it is red.