Real Numbers
Patterns and Functions
Square Roots
Pythagorean Theorem
Pythagoras and Distance Formula
100
This set of numbers includes all natural numbers and 0. Examples: 0,1,2,3,4...
What are whole numbers?
100
Identify the independent and dependent variable. The amount of money earned babysitting increases with the numbers of hours spent babysitting.
Independent: Number of hours Dependent: Amount of money earned
100
√225
What is 15
100
Define hypotenuse. How can you locate it on a right triangle?
What is the hypotenuse is the longest side of a right triangle. You can find it because it is always the side across from the right angle.
100
Who was Pythagoras?
What is answers will vary
200
Examples include pi, 0.1214857454..., and the square root of a non perfect square.
What are examples of irrational numbers?
200
Write the function rule for number of months (n) and amount saved (a) (n) (a) 1 $150 2 $300 3 $450 4 $600
a = 150n
200
In between what two consecutive integers does √46 fall?
What is 6 and 7
200
Two legs of a right triangle are 5 in and 12 in. What is the length of the hypotenuse?
What is 13 in
200
Who were the Pythagoreans? Why did they follow Pythagoras?
What is answers will vary
300
True or False – All integers are rational. If false give a counter-example.
What is True?
300
Write the function rule. Distance Traveled (t) and Distance remaining (r) t r 10 mi 90 mi 25 mi 75 mi 40 mi 60 mi 88 mi 12 mi
100-t=r
300
Use your calculator to find √79.5. Round to the nearest hundredth.
What is 8.92
300
a = 9 b = ? c = 12.7
What is 9.0
300
What is the distance formula? What is THE pythagorean theorem?
What is recite the formulas
400
Classify -√49 into ALL sets of numbers that apply.
What is a Real, Rational, and Integer?
400
Nate mows lawns as a weekly job. He charges $12 per lawn. He can mow as many as 7 lawns throughout the week. Identify the independent and dependent variables in the situation. Then find a reasonable domain and range.
Independent: Number of lawns mowed Dependent: Amount of money maid Domain: 0-7 hours Range: $0 - $84
400
- √105
What is -10.25
400
A carpenter braces an 8 ft x 10 ft wall by nailing a board diagonally across the wall. How long is the bracing board?
What is about 12.8 ft
400
Find the distance between these two points: (-3, 4) (5, 4)
What is 8
500
My hundreds, tens, and units digits are consecutive integers with a mean of 8; my hundreds digit is prime. My tens digit is equal to the sum of my thousands and hundreds digits. I am this whole number.
What is 1789
500
* ** *** **** * ** *** * ** * This number of stars would be in the tenth pattern.
What is 55?
500
√28.34
What is 5.32
500
A triangular flag is attached to a post. The bottom of the flag is 48 in. above the ground. How far from the ground is the top of the flag? Base of the flag = 12 in. The top of the flag to the bottom corner of the flag is 12 in.
What is 57 in
500
What is the distance between these two points? (-4, -5) (1, -2)
What is about 5.83