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3.1 Squares and Square Roots
LEARNING
What are squares and perfect squares? STANDARDS
Explain the meaning
of squares and
perfect squares.

CHAPTER
3

About 2 500 years ago, a group of academics created patterns The area of a square
of numbers in the shape of squares by arranging pebbles in with sides of 1 unit is
equal number of rows and columns. Are you able to determine 1 × 1 = 1 unit .
2
the next pattern of square?

1 Classroom
Flip

Aim: To explore the formation of squares.
Instruction: • Explore by yourself before the lesson begins and discuss in groups
of four during the lesson.
• Open the folder downloaded from page vii.

1. Open the file squares.ggb using GeoGebra. The screen
displayed shows a square with sides of 1 unit.
2. Click and drag the blue slider on the screen displayed
to change the length of the sides of the square and
determine the corresponding area of each square.
3. Copy and complete the table below for the area of the squares.

Length of the sides Area of the square in the form of 2
of a square (unit) repeated multiplication (unit ) Area (unit )
2
1 1 × 1

4. What is the relationship between the area of the square and the length of the
sides of the square?

48
Chapter 3

03 TB Math F1.indd 48 11/10/16 12:09 PM