Squares
What is the formula for the area of a square?
A = x^2
What is the formula for the volume of a cube?
V = x^3
What does it mean to "square a number"
Multiply the number by itself
Is this rational or irrational and WHY?
3.42 (bar above 2)
Rational-a repeating decimal can be written as a fraction
Is the square root of 12 greater than or less than 4?
less than
If a square’s area is 100 square meters, what is the side length?
10 meters
If a cube’s volume is 125 cubic inches, what is the edge length of the cube? Set up the equation and solve.
125 = x^3
5 = x, 5 inches
What does it mean to "cube a number"
Multiply the number by itself three times
Is this rational or irrational and WHY?
-11
Rational--integers can always be written as fractions (denominator of 1)
Draw a number line and place the square root of 15 on it.
The point should be between 3 and 4, closer to 4.
If a square’s area is 289 square feet, what is the side length?
17 feet
Wild card!! What is the only letter that doesn't appear in any state name?
Q !
What is a perfect square?
A number whose square root is an integer.
Is this rational or irrational and WHY?
0.123112233111222333...
Irrational-the decimal goes on forever and does not repeat, therefore we cannot turn this into a fraction!
Draw a number line and place the square root of 52 on it.
The point should be in between 7 and 8, closer to 7.
Leyla made a square cake with an area of 64 square inches. What is the side length of the cake in inches?
8 inches
If a cube’s volume is 0.512 cubic centimeters, what is the edge length of the cube? Set up the equation and solve.
V = x^3
0.512 = x^3
0.8 = x, 0.8 cm
Define a rational number.
A number that can be expressed as a fraction.
Is this rational or irrational and WHY?
The square root of 52
Irrational--not a perfect square
Draw a number line and place "the square root of 36 plus the square root of 8" on it.
The point should be between 8 and 9, closer to 9.
Find the square root of 25/441.
5/21
A large rubix cube has a volume of 27 inches^3. How long is each edge of the cube in inches?
3 in
Define an irrational number AND give one example AND one non-example
A number that cannot be expressed as a fraction. Examples will vary.
Wild card! What team did Paige Bueckers play for who won the NCAA Women's March Madness tournament last year?
UConn!!!
Give the approximation of "the square root of 49 plus the square root of 99."
Any answer in the range 16.6 < x < 17 works.