What is a Square Root

Lesson Summary:

The lesson introduces the children to the square roots of whole numbers. The discussion is designed to be read individually or in pairs.  In Activity A the children are given the opportunity to experiment with squares, square numbers and square roots using manipulatives.  In Activity B they are required to provide the square root of given numbers.  In both activities they are encouraged to check their own answers by working out the square of the number.

Objectives:

  • The children will understand and be able to explain the concept of squares, square numbers and square roots.
  • The children will be able to demonstrate their understanding by calculating the square roots of given numbers.

Subject Area:

Math

Lesson Excerpt:

Do squares have roots?  Well, of course, they don’t have the same roots that plants have, despite the rather silly picture on the right.  Before we can decide what a square root is, we need to be sure we know the definition of a square.  So, what is a square?  See if you can answer this before reading the next sentence.

A square is a geometrical figure which has four right angles and four equal sides.  That means that all you need to know to be able to draw a square is the length of one side.  Now you have a definition of a square, do you know what a square number is?   If you’ve already worked with areas, you’ll know that a square number is the number of square things that can be arranged in a bigger square.

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