Square Roots of Perfect Squares

Square Roots of Perfect Squares
Number Sense: Specific Outcomes
I can determine the square root of positive rational numbers that are perfect squares.
I can determine and estimate the square root of positive rational numbers that are non­perfect squares.
Lesson objectives
Teachers' notes
Nov 4­10:26 AM
Terminology
Positive Rational Numbers:
Any number that can be written as a fraction. The denominator cannot equal zero.
Both numerator and denominator are integers. Perfect Squares:
A number that is the square of a number.
Non­perfect squares:
A fraction or a decimal that is not a perfect square.
Mar 19­7:45 AM
Perfect Squares
Which of the following are perfect squares and why? Determine the area of each shape? Determine the square root of this value.
Mar 19­7:45 AM
1
What is the area of this square if it has a side length of 13/10? Is this a perfect square? What is the square root of the area?
Aug 31­7:05 PM
What is the area of this square if it has a side length of ? Is this a perfect square? What is the square root of the area?
Aug 31­7:05 PM
What is the side length of this square who's area is 144/100? Is this a perfect square? What is the side length of this perfect square?
Aug 31­7:05 PM
2
Aug 31­7:18 PM
A fraction in simplest form is a perfect square if it can be written as a product of two equal fractions. Remember to simplify first.....
Mar 19­7:45 AM
When the square root is terminating or a repeating decimal it is a perfect square.
Mar 19­7:45 AM
3
Mar 19­7:45 AM
Mar 19­7:45 AM
Mar 19­7:45 AM
4
Mar 19­7:45 AM
Mar 19­7:45 AM
Mar 19­7:45 AM
5
Mar 19­7:45 AM
Aug 31­7:50 PM
6