| Squared | Square Root | Vocabulary | Pythagorean Theorem |
|---|---|---|---|
|
9
What is three squared?
|
4
What is the square root of sixteen?
|
The small raised number on a base number that indicates how many times to multiply a number by itself. It is also known as a "Power."
What is an exponent?
Provide an example. |
3^2 + 4^2= c^2
9 + 16 = c^2 25 = c^2 5=c
Two sides of a right triangle are 3 and 4 in.
Find the missing side if these are the lengths of the legs. |
|
25
What is five squared?
|
6
What is the square root of thirty six?
|
Legs and hypotenuse
What vocabulary words are used to describe the sides of a right triangle?
|
c2 = a2 + b2
13^2 = 5^2 + b2 169 = 25 + b^2 169 - 25 = 25 - 25 + b^2 144 = b^2 √144 = b= 12 No, it will not reach the top of the wall because 12<13.
A 13 feet ladder is placed 5 feet away from a wall. The distance from the ground straight up to the top of the wall is 13 feet Will the ladder the top of the wall?
|
|
49
What is seven squared?
|
5
What is the square root of twenty five?
|
A Greek philosopher and mathematical who proved the relationship between the sides of right triangles with the Pythagorean Theorem equation. A^2+B^2=C^2
Who was Pythagoras?
|
6^2+8^2=c^2
36+64=c^2 100=c^2 10=c 10 blocks
John leaves school to go home. He walks six blocks North and then eight blocks West. How far is John from the school?
|
|
81
What is nine squared?
|
19.6
What is the square root of three hundred eighty four?
|
False, the Pythagorean Theorem only applies to right triangles.
Does the Pythagorean Theorem work for all triangles?
|
A^2 + 15^2 = 25^2
A^2 + 225 = 625 A^2 = 400 A= 20 in
The diagonal of a rectangle is 25 in. The width is 15 in. What is the length?
|
|
144
What is twelve squared?
|
approximately 5
Estimate the square root of twenty six?
|
A "Perfect right triangle," occurs when both sides and the hypotenuse are integers (whole numbers).
For example: 3, 4, 5.
What is a Pythagorean Triple?
|
34^2 + 41^2 = c^2
1156 + 1681 = c^2 2837 = c^2 53.2 meters = c So, (34+41) - 53= meters saved 75 -53 = 22 meters
To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
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