Scatterplots and line of best fit (must do in order)
The coach of a basketball team recorded the number of hours of practice before a game with the number of points scored at the game. The following is the scatterplot with the line of best fit. To find the equation of the line we need two points. These are the two points on the line that we should use.
(3, 40) and (8, 60)
Numbers that cannot be made into a fraction
Irrational numbers
The square root of 19 is between these two numbers on a number line
4 and 5
An example of a proof of the Pythagorean Theorem uses these to show how each leg squared is equal to the hypotenuse squared.
Squares
The volume formula of a cone is 1/3 the volume formula of this shape with the same base.
cylinder
We can use our points to find this.
slope
A repeating number will likely have this number as a part of its denominator.
9
This is the correct order for the terms 3/9, 3.34, 15/5 and square root of 16
15/5, 3/9, 3.34, square root of 16
We can use this version of the Pythagorean theorem to determine if a triangle is a right triangle.
The converse of the Pythagorean theorem
Using 3.14 for pi, the volume for a cylinder with a radius of 2 ft and a height of 5 ft is this
31.4 feet cubed
The slope for the line is this.
4
The square root of a non-perfect square will result in this type of number.
Irrational number
The simplified version of the square root of 24 using factoring
2 square root of 6
The missing length in feet of the hypotenuse of a right triangle with legs 3 and 4
5
Using 3.14 for pi, the total amount of Pepsi that can fit into a can that has a height of 6 inches and a diameter of 3 inches is this.
28.26 cubed inches
We can use this form as y - y1 = x(x - x1) for an equation of a line when we have a point and the slope.
Point-slope form
We can factor the denominator of fractions by these two numbers in order to determine if the number will be finite and expand it to a decimal easily.
2 and 5
The simplified version of the square root of 50 using factoring
5 square root of 2
The missing leg in inches of a right triangle which has a leg length of 8 and a hypotenuse of 10.
6
We can use the Pythagorean theorem in order to solve for a missing height when we are working with a truncated cone given both the top and bottom radius as well as the slant height and truncated height because the missing cone and complete cone are this.
Similar triangles
This is the linear equation for our line of best fit.
y = 4x + 28
The number 14/1000 as a decimal
0.014
The simplified version of square root of 108 using factoring
6 square root of 3
Using the converse of the Pythagorean Theorem on the triangle with the sides 9, 15, and 12 inches determines that it is this.
A right triangle.
After graphing it out on your own, you determine that the distance between points (0,0) and (4,3) is this many units.
5 units