Math in Basketball EDCI 270JONAH STEVENSON Click anywhere to continue

Teacher’s Material Objectives: Students will be able to understand how mathematics can apply to basketball situations by viewing a video and reading material while also answering follow-up questions Students will understand the applications of certain basketball techniques and understand how they apply to the real world, e.g. projectile motion, by having a mini-quiz on different forms of projectile motion Students will understand how to use the quadratic formula and other mathematical tools to solve problems to appropriate understanding with a final quiz.

Teacher’s Material Continued  Target Audience/Learning Environment:  Algebra 1 or Algebra 2 students  Middle School students/High School students  Computer lab or own computers  Headphones for videos  Scratch paper as well as pen/pencil would be ideal for practice problems NextBack

What are we doing today? In this module, we will learn about the point of maximizing in basketball and in the real world. You will watch a video by NBA All Star Elton Brand to see how to properly maximize the basketball shot. There are videos to watch as well that go into more depth of how math is very important in basketball. BackNext

Home page: Next Lesson: This is the main lesson area where the activity takes place Video Section: This is where some additional videos for reference can be found Math Formulas/Definitions: This is where definitions of certain terms can found Quiz Button: This is where, if you are ready, you can go on to the quiz section Video Math Quiz Lesson

Math Introduction: In this section, I will go over the key concepts of what we are learning that weren’t described in the lesson but are equally important. If the information is too hard to understand, there will be a link to Khan’s Academy that may benefit the learning process. Try to only use it if you really have no clue what is going on. NextBack

Coordinates & Function: Coordinates: Set of values that show an exact position Ex. (0,1), (0.5,2), (3,6) Function: A relationship where you input one set of data (x) to get another (y) Ex. F(x) = x^2, F(1) = 1, F(2) = 4, F(3) = 9 inequalitie/coordinate-plane/v/the-coordinate-plane NextBack

Acceleration of Gravity Acceleration of Gravity: The speed of the object speeding up or slowing down when the ball is falling down Initial Vertical Velocity: The speed when the ball is first released or when the object is first moving Release Height: The initial height that the ball or object is released at Trajectory: The path as an object travels through a space over time newtonian/v/introduction-to-gravity NextBack

Maximum Height Maximum Height: Largest vertical distance that the ball reaches as it travels Parabola: The shape of the graph with the set of y = x^2, most used with quadratic formulas Vertex: Highest or lowest point on the vertex (depends on which way the parabola opens) motion/kinematic_formulas/v/projectile-height-given-time BackNext

Math Formulas Back These formulas may be found useful when trying to figure out the problems in the quiz or on other problems.

Quiz! There will be 3 questions to see if you understand what is going on in this lesson. Try your best to work out the problems as much as possible without receiving help. Feel free to hit the review button to go over some of the practice problems or to understand a concept better. Best of luck! NextReview

Quiz Problem #1 If the release height is initially 5 ft. and the initial velocity is 20 ft./sec., what is the time when the ball reaches a height 10 ft.? a b c d

Quiz Problem #2 If the release height is initially 5 ft. and the initial velocity is 20 ft./sec., at what time does the ball reach it’s maximum height? 0.63 seconds0.54 seconds 0.82 seconds0.55 seconds a b c d

Quiz Problem #3 If the release height is initially 5 ft. and the initial velocity is 20 ft./sec., what is the maximum height? a b c d

Lesson-Math in Basketball Introduction: How do you think math could relate to sports? Brainstorm a couple of ideas about how math could relate to anything in basketball (e.g. Shooting, Passing) Next Submit Fill out box and hit submit to go on.

Brainstorm Different ways that math can be found in basketball: Statistics of a player’s performance Length of quarters Time of shot clock, overtime, time-outs Dimensions of the basketball court BackNext

Video Introduction  Lesson plan introduction: Elton Brand, former NBA player  What kinds of tools will you need for this project to be done?  What sorts of things was Elton Brand talking about in this video? BackNext Fast Break

Lesson  In this lesson, we are going to learn about the basic free-throw shot and certain math formulas that apply to the basketball shot.  The first thing we should begin to think about is the idea of maximizing.  Why would we need to need to maximize the shot? Where else do we want to see the maximum of an item or a statistic? BackNext

Maximizing-PowToon This mini-presentation goes into more depth of why maximizing anything is important and why it is important in basketball. NextBack PowToon

Algebraic Terms  Let’s review some terms used in this lesson that you may or may not know:  Acceleration of Gravity- Speed of item falling is usually around -32ft/s  Trajectory- The path that objects take over a certain amount of time  Maximum Height-In this case, the largest vertical distance the ball traveled More terms can be found in the Algebra/Formula Section of this lesson BackNextMath

Can You Tell What You’re Doing?  Before you get a chance to try a couple of questions, first take a look at this interactive tool to see if you can correctly form an equation that focuses on maximizing the height.  Fast Break Facts given by Elton Brand: This exercise helps to understand the concepts that we have just learned about and apply the concepts. Fast Break Facts Next

Practice Problem #1 Using the Fast Break Facts and Elton Brand’s given info, what is the acceleration of gravity, initial velocity, initial height given? Acceleration = -16t^2, Vi = 24ft/sec., Height = 7 ft. Acceleration = -20t^2, Vi = 27ft/sec., Height = 9 ft. Acceleration = -32^2, Vi = 48ft/sec., Height = 14 ft. Acceleration = -20t^2, Vi = 26ft/sec., Height = 18 ft. a b d c

Correct! Great work! You’re doing fantastic! What should the equation look like after you have figured out the variables? NextBack

Correct! Great work! You’re doing fantastic! Next Back

Next Correct! Great work! You’re doing fantastic! Back

Correct! Great work! You’re doing fantastic! Next Back

Correct! Great work! You did fantastic! Back

Sorry! Try Again!  Not quite! Try reviewing the Fast Break Facts if it is confusing at this point. Fast Break Facts Back

Sorry! Try Again!  Not quite! Try reviewing the Fast Break Facts if it is confusing at this point. Fast Break Facts Back

Sorry! Try Again!  Not quite! Try again! Back

Sorry! Try Again!  Not quite! Try again! Back

Sorry! Try Again!  Not quite! Try again! Back

Practice Problem #2 Using the equation from the Fast Facts sheet, what time does the ball reach 10 feet? 0.24 sec. and 1.42 sec sec. and 1.36 sec sec. and 1.50 sec. 0.5 sec. and 1.2 sec. a b c d Hint: Use Quadratic Formula

#2 Solution NextBack

#2 Solution Continued Next Back

Follow-Up Other high school students have tried to do exactly what you just did. Watch to see if they did anything differently as they explain their work. A final quiz is coming up to see if you truly understand what the equation represents. Feel free to review past problems and other formulas that could be used. Follow-Up Next Back ReviewQuiz

Review Fast Break Facts: Practice Problem #1: Practice Problem #2: Math Explanations: 1 2 Fast Break Facts Math QuizBack

Video Section  Here are some videos that can help you on your path to understanding the math behind some basketball techniques.  Video Introduction:  TED Talk: Teaching Math Through Basketball  SportScience: Basketball Shot: Back

Teaching Math Through Basketball Back Next

Sports Science: Basketball Shot This video goes into more depth of the math and science behind the perfect basketball shot Back