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# ZingPath: Numeracy

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## Numeracy

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### Lesson Focus

#### Estimating the Square Root of Non-Perfect Squares

Algebra-1

You will estimate the square roots of non-perfect squares by determining the square roots of the nearest perfect squares (in order to find the appropriate frames for paintings in an art exhibit).

### Now You Know

After completing this tutorial, you will be able to complete the following:

• Distinguish between perfect squares and non-perfect squares.
• Determine consecutive whole numbers such that the square root of a non-perfect square lies between them.
• Estimate the square root of non-perfect squares.

### Everything You'll Have Covered

Perfect squares

A number p is called a perfect square if and only if there exists a whole number n for which

p = n2.

Take the whole numbers and square them:

02 = 0

12 = 1

22 = 4

32 = 9

and so on.

The resulting numbers  0, 1, 4, 9, 16, 25, 36 ... are called perfect squares.

Perfect squares can be represented pictorially by:

### Tutorial Details

 Approximate Time 20 Minutes Pre-requisite Concepts Students should know the definitions of the area of a square, inverse operations, perfect squares, and square roots. Course Algebra-1 Type of Tutorial Skills Application Key Vocabulary estimation, non-perfect squares, perfect squares