The Math and Science of Bowling

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1 The Report (100 : The Math and Science of Bowling 1. For this project, you will need to collect some data at the bowling alley. You will be on a team with one other student. Each student will bowl a minimum of two games during our bowling field trip. Each student is responsible for collecting his/her own scores. Scores must be collected on the worksheet provided with your name at the top of the paper. Work must be neat and accurate. (20 2. Complete the Sports Mathematics How was the score calculated? worksheet by filling in the scores on the bottom bracket. Show your work. (10 3. Describe in a paragraph: In what ways does bowling involve mathematics? What mathematical operations are used in bowling? Explain fully. (10 4. Calculate your team s mean, median, mode, and range scores (for all 4 games). Neatly label and show all your work. (10 5. Calculate your individual mean and range score. Explain in a paragraph what these two scores indicate about your bowling abilities. (10 6. Which measure of central tendency (mean, median, mode, or range) would be best in describing how well you bowl? Why did you choose this method? How is it better than the other choices? (10 7. Mrs. Shaffer joins your team and has the following game: 9 9 / / How will adding Mrs. Shaffer to your team affect your team s mean score? Median score? Mode? Range? Explain in a paragraph. (10 8. Which class has the better bowlers, 7 th grade or 8 th grade? Justify your choice using data and/or graphs. (20

2 The Math and Science of Bowling REPORT GRADING RUBRIC Report Question 1 (double 2 Not answered or minimally answered. (0-4 Some information provided, but not fully answered. Mathematical concepts not fully demonstrated. (5-8 Fully and accurately answered. Thoughtful response which demonstrates a strong grasp of mathematical concepts. ( (double TOTAL (100 Possible

3 Data Representation (100 The Math and Science of Bowling 1. Create a circle graph of your data. In a paragraph, explain 1)WHY the circle graph is a good choice to represent your data and 2) what is demonstrated by your circle graph. One choice for your circle graph is to graph the percentage of open frames, spares, and strikes. However, this is NOT your only option. Place your paragraph next to your graph on your display board. A data table MUST accompany your graph. (20 2. Create a bar graph, double bar graph, or histogram of your data. In a paragraph, explain 1)WHY the chosen graph is a good choice to represent your data and 2) what is demonstrated by your graph? One choice for your graph is to graph the individual average scores by player. However, this is NOT your only option. Place your paragraph next to your graph on your display board. A data table MUST accompany your graph. (20 3. Create a stem and leaf plot of your data. In a paragraph, explain 1)WHY the stem and leaf plot is a good choice to represent your data and 2) what is demonstrated by your plot? One choice for your plot is to plot the individual game scores of the bowlers in your grade. However, this is NOT your only option. Place your paragraph next to your graph on your display board. A data table MUST accompany your graph. (20 4. Create a box and whisker plot of your data. In a paragraph, explain 1)WHY the box and whisker plot is a good choice to represent your data and 2) what is demonstrated by your plot? One choice for your plot is to plot the average scores of the bowlers in 7 th and 8th grades. However, this is NOT your only option. Place your paragraph next to your graph on your display board. A data table MUST accompany your graph. (20 5. Graphs and display board must be neat and attractive. (20

4 BOWLING MOTION, FORCES AND NEWTON S LAWS This report is your final assessment for Chapter #19. Your report is worth a test grade. The following questions should be answered in paragraph form, typed neatly, and placed on your display board. Science: Chapter 1, Lesson #1. 1. Completely describe the motion of the bowling ball. Use the following words in your description: motion, reference point, distance, displacement, speed, velocity, and acceleration. (10 2. Draw a graph of position vs. velocity. Draw a graph of position vs. acceleration. (Use the attached graph) Use the graph to describe how the speed, velocity, and acceleration of the ball related? (20 3. When is the ball accelerating? When is the acceleration zero? (5 4. You throw a 4 kg bowling ball and it rolls down the lane at 6 m/s. What was the acceleration of the ball if it took you 3 seconds to throw the ball? (Hint: use the formula for calculating acceleration on page 695 of the textbook.) (10 5. For the situation described above, how much force did you exert on the ball? (Hint: Use Newton s second law of motion.) (10 Science: Chapter 1, Lesson #2: 6. Assuming there is no friction on the bowling alley; explain why the ball would roll at a constant velocity. (5 7. What role does friction play in the motion of the ball? (10 Science: Chapter 1, Lesson #3: 8. Which would be harder to stop? A 5 kg ball rolling at 6 m/s or a 10 kg ball rolling at 6 m/s? Why? Explain fully. (10 9. Assuming no friction, when are the forces on the bowling ball balanced? Unbalanced? Explain fully. ( What would happen to the acceleration of the ball if the force you apply stays the same, but the mass of the ball changes? (10

5 Lesson Plan: The Math and Science of Bowling Grade Level: 7 th /8th Math Content Standards: (Common Core) Analyze, interpret, and display data in appropriate bar, line, and circle graphs and stem-and-leaf plots and justify your choice of display Describe how additional data, particularly outliers, added to a data set may affect the mean, median, and mode. Science Content Standards: Process Standards: Standard 3: Construct viable arguments and critique the reasoning of others. Standard 4: Model with mathematics. Standard 6: Attend to precision. Description of Activity: This project is used to anchor the Data Analysis and Statistics unit. The unit will last approximately 10 class periods. The unit will start with a bowling field trip. The students will collect and calculate their scores for a minimum of two games. During the next two weeks students will study measures of central tendency, data representation, and data interpretation. The final assessment will be a tri-fold display board and report describing the math and science of bowling. Students will use their individual and class data to explore and describe their bowling experience from a science and mathematical perspective. They will construct and justify arguments comparing their bowling scores to those of their classmates. Students will have an opportunity to evaluate/critique/and grade their classmates projects. Assessment: See attached project description and grading rubrics..

6 SCIENCE REPORT GRADING RUBRIC The Math and Science of Bowling Report Question Not answered or minimally answered. Some information provided, but not fully answered. Scientific concepts not fully explained. Fully and accurately answered. Thoughtful response which demonstrates a strong grasp of scientific concepts. SCORE 1 (10 POINTS) 2 (20 POINTS) 3 (5 POINTS) 4 (10 POINTS) 5 (10 POINTS) 6 (5 POINTS) 7 (10 POINTS) 8 (10 POINTS) 9 (10 POINTS) 10 (10 POINTS) TOTAL (100 Possible

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