Middle Years Programme IB CONTINUUM CONTINUUM DE L'IB CONTINUO DEL IB Pool Shots Performance Task\fName Date Chapter Performance Task Pool Shots Instructional Overview Launch Question How can mathematics help you become a better pool player? What type of function could you use to sink a pool ball? What aspects of the function will help the shot be successful? Summary A coordinate plane is placed over an image of a pool table and students will use function equations to predict whether shots will work. Supplies Handouts, straightedges, graphing tools (optional) Mathematical Discourse Have you ever played pool? What types of games do you play? Did you ever think mathematics was involved in these games? Writing/Discussion Prompts 1. What is a bank shot? 2. What type of function do you believe would best model a bank shot? Curriculum Content Content Use the absolute value function to graph and solve problems. Objective Mathematical Mathematically proficient students model their world with mathematics. Practices Copyright @ Big Ideas Learning, LLC Integrated Mathematics II 21 All rights reserved, Assessment BookName Date Chapter Performance Task (continued) Pool Shots How can mathematics help you become a better pool player? What type of function could you use to sink a pool ball? What aspects of the function will help the shot be successful? 1. There are a variety of ways to play pool. Most of the goals include hitting the cue ball (white ball) with a cue stick so it hits another ball which follows a path into a pocket. A coordinate plane is drawn over the pool table below. Graph each function in the coordinate plane and determine whether you believe the shot will go into the pocket. Explain. a. f ( x) = x - 6 X b. f (x ) = - 1x + 2 Copyright Big Ideas Learning, LLC All rights reserved. Integrated Mathematics II 23 Assessment BookName Date Chapter Performance Task (continued) 2. When playing pool it is often helpful to bank a shot. One method of banking a shot involves calculating the angle so that the shot can hit the rail and reflect off at the same angle into a pocket. Graph each equation in the coordinate plane. Does the equation represent the path of a bank shot into a pocket? Explain. a. f(x) = 10.75x - 31- 4 b. f (x) = -1.25x + 1|+5 O 24 Integrated Mathematics II Copyright @ Big Ideas Learning, LLC Assessment Book All rights reserved.Name Date Chapter Performance Task (continued) 3. Given the coordinate plane and pool table below, write an equation whose graph would trace the path for a shot that would put the ball in a pocket. Graph the equation. In which pocket would the ball go? o Copyright @ Big Ideas Learning, LLC Integrated Mathematics II 25 All rights reserved. Assessment Book