**Basketball to Geometry**

**Old Concepts**

Old Concepts cont...

Chapters 1-6

New Concepts

Chapters 7 - 13

New Concepts cont...

**BY: Spencer Green**

**Chapters 1-6**

6-2: A parallelogram is a quadrilateral with both pairs of opposite sides parallel. On a basketball hoop, the arm can be readjusted from 5ft. to 10ft. As the height is adjusted, each pair of opposite sides of the quadrilateral formed by the arms remains parallel.

1-4: A right angle is an angle that adds to 90 degrees. At the vertices of the basketball court, there are 4 right angles.

6-4: A rectangle is a quadrilateral with 4 right angles, perpendicular diagonals, and has all the same properties of a parallelogram. A basketball court holds all these properties which makes it a rectangle.

3-1: Parallel Lines are coplanar lines that do not intersect. There are some NBA jerseys that include parallel lines like the Orlando Magic jerseys.

1-6: The perimeter of a polygon is the sum of the lengths of the sides of a polygon. Since a basketball court is a rectangle, the perimeter of a standard NBA court can be described as…

P=2W+2L

P=2(50)+2(94)

P=100+188

P=288 ft.

9-5: Line of Symmetry: A figure in a plane has line symmetry if the figure can be mapped onto itself by a reflection in a line. A basketball court has line symmetry occurring at half court

13-4: A simulation is the use of a probability model to recreate a situation again and again so that the likelihood of various outcomes can be estimated. For example, Shaq makes 35% of his free throws. He wants to use this percentage to predict the # of free throws he will likely make in the next game by designing a simulation.

1st step- Determine each possible outcome and its theoretical probability.

2nd- State any assumptions

3rd- Describe an appropriate probability model for this situation

4th- Define what a trial is for a situation and state the # of trials to be conducted

12-6: Surface Area is a two-dimensional measurement of the surface of a solid figure. The Surface Area of a sphere is S=4πr2, where r is the radius of the sphere. The surface area of a basketball can be described as…

SA=4 π(4.7)

2*

SA=4π(22.09)

SA= 277.59 in.

*the 2 is an exponent

12-6: Volume is the measure of the amount of space enclosed by a solid figure. The Volume of a sphere is V=4/3πr, where r is the radius of the sphere. The volume of a basketball can be described as…

V=4/3π(4.7)2*

V=4/3π(22.09)

V= 92.53 in.

*the 2 is an exponent

Chapters 7-13

13-3: The probability of making a basketball shot depends on the area of the target. Probability that involves a geometric measure such as length or area is called geometric probability.

1-1: A line is an undefined term of geometry. It is made up of pts. with no thickness or width. A basketball court is full of lines. It makes the game the way it is from the 3-point line to the free throw line to the baselines and sidelines.

*All the highlighted area are examples of lines

12-6: A sphere is a set of points in a space that are the same distance from a given point . A sphere has no faces, edges, or vertices. A basketball is a sphere because it has no face, edges, or vertices.

10-2: The measure of semicircle is 180 degrees. The 3-pointer and the shape behind the free throw line are both semicircles.

Perpendicular Lines intersect to form four right, congruent, adjacent angles. The baseline and the line making "the paint" are perpendicular lines.

"

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*Most basketball courts don't have cricked lines like in the previous picture of the basketball court

Supplementary angles are two angles with measures that have a sum of 180 degrees. On a basketball court two corners that are adjacent are supplementary due to the fact they're Consecutive Interior Angles.

10-1: The circumference of a circle is the distance around the circle. If a circle has a diameter or radius, the circumference =πd or =2πr. A basketball's circumference can be described as...

C=2π(4.7)

C=29.53 in.

The end