MATH8
Looking for Pythagoras: Lesson 2-2
Tags
Square Roots
CLASS NOTES:
Problem 2.2 (LP p21)
A.
a. Find the side lengths of the following squares;
AREA
Side Length
b. Find the values;
1 =
9 =
1 u2
9 u2
16 =
16 u2
25 u2
25 =
c. How is the value of a square root related to a square with an area of the same
number?
B.
a.
i. What is the area of a square with a side length of 12 units?
ii. What is the area of a square with a side length of 2.5 units?
b. Find the missing numbers.
? = 12
i.
ii.
? = 2.5
MATH8
Looking for Pythagoras: Lesson 2-2
Tags
Square Roots
C. Refer to the square with an area of 2 u2 below. The exact side length of this square is
units.
2
a. Estimate 2 by measuring a side of the square with a
centimeter ruler.
b. Calculate the area of the square, using your measurement
from part (1). Is the result exactly equal to 2?
c. Use the square root key on your calculator to estimate
2.
d. How does your ruler estimate compare to your calculator estimate?
D.
a. Which two whole numbers is
5 between? Explain.
b. Which whole number is closer to
5 Explain.
c. Without using the square root key on your calculator, estimate the value of
decimal places.
E. Give the exact side length of each tilted square you drew in Problem 2.1.
2 u2
5 u2
8 u2
10 u2
AREA
EXACT
LENGTH
Closing Question:
5 to two
MATH8
Looking for Pythagoras: Lesson 2-2
Tags
Square Roots
Perfect Squares: The following is a list of the first 15 ‘Perfect Squares’. Complete
the list by filling in the missing numbers.
1
36 
121 
4
49 
144 
9
64 
169 
16 
81 
196 
25 
100 
225 