IMM2 PROJECT- PHYSICS WITH ANGRY BIRDS® Angry Birds® is a game that uses parabolas. You may not have known that, but it definitely uses parabolas (or the graph of quadratic equations). Source: blog.mrmeyer.com Well, it just so happens that we are studying quadratic equations and the graphs of parabolas in Unit 5 and Unit 6. So, for this project, we are going to use our knowledge of quadratic equations, the graphs of parabolas, and Angry Birds® in a project! Angry Birds® Project – Part 1: The Basic Equation 1. List your birthday in number form. For example: January 10 is 1/10. 2. These two numbers will be the x-intercepts for your quadratic equation. - Let the smaller number be negative - Let the larger number be positive. - In my example, the quadratic equation has roots at x = -1 and x = 10. 3. Use these roots to write your Quadratic Equation. It will be in the form: y = ax2 + bx + c 4. This is your basic equation for this project. 5. Graph your equation (by hand, no Geogebra is allowed). Make sure to label the: x-intercepts with title and coordinates y-intercept with title and coordinates vertex with title and coordinates Name:_______________________________ Block:______ Part One due date:_______ -10 points for each day late Grading Rubric Part 1 Part 1 Total ____x2= =grade 50 2 points for correct signs used on your birthday intercepts o 5 points for correct work shown to calculate your birthday’s quadratic equation o 5 points for correctly demonstrating box method o o 2 points for labeling x-axis o 2 points for labeling y-axis o 4 points for labeling correct scale on each axis o 5 points for neatly using a ruler when drawing axis o 5 pts for graphing at least five coordinates of your birthday’s quadratic equation o 8 pts for correctly labeling x-intercepts with coordinates o 4 pts for correctly labeling x-intercepts with title “x-intercepts” o 4 pts for correctly labeling y-intercept with coordinates o 2 pts for correctly labeling y-intercept with title “y-intercept” o 2 pts for correctly labeling vertex with coordinates and title “vertex” Angry Birds® Project – Part 2: Earth We will now fling the bird on Earth. To do this: 1. The force of gravity on Earth is -32ft/sec2. In physics, we use ½ the force of gravity. 2. Multiply your “basic equation” by -16. This is your Earth-based equation. 3. Find the x-intercept of this equation. 4. Find the vertex for this equation. This will tell you how high the bird traveled. 5. Graph your equation (by hand, no Geogebra is allowed). Make sure to label the x-intercepts, y-intercepts, and vertex. 5. We are going to place the slingshot on the y-axis of your graph. How high is the slingshot? 6. Somewhere on the path of your bird’s arc, place a pig. At what point is the pig? Short Essay After completing your graph, use your graph to explain why you multiplied your basic equation by -16. Explain what effect that had on the graph, axis and scale. Name:_______________________________ Block:______ Part Two due date:_______ -10 points for each day late Grading Rubric Part 2 Part 2 Total ____x2= =grade 50 3 pts for correct Earth quadratic equation using correct Earth gravity 3 pts for showing work as to how you distributed to find Earth’s quadratic equation 8 pts for correctly labeling x-intercepts with coordinates 4 pts for correctly labeling x-intercepts with title “x-intercepts” 4 pts for correctly labeling y-intercept with coordinates 2 pts for correctly labeling y-intercept with title “y-intercept” 3 pts for correctly labeling y-intercept with picture of slingshot 4 pts for correctly labeling vertex with coordinates 2 pts for correctly labeling vertex label “vertex” 4 pts for correctly labeling pig with coordinates 3 pts for correctly labeling pig with picture of a pig 5 pts for correctly answering the first essay question 5 pts for correctly answering the second essay question Name:_______________________________ Block:______ Part Three due date:_______ -10 points for each day late Grading Rubric Part 3 Part 3 Total ____= =grade 100 Angry Birds® Project – Part 3: The Moon We will now fling the bird on the surface of the moon. To do this: 1. Research the force of gravity on the Moon. Make sure you cite your information. In physics, we use ½ the force of gravity. 2. Multiply your “basic equation” by -1/2 the force of gravity on the moon. This is your Moon-based equation. 3. Find the x-intercept of this equation. 4. Find the vertex for this equation. This will tell you how high the bird traveled. 5. Graph your equation (by hand, no Geogebra is allowed). Make sure to label the x-intercepts, y-intercepts, and vertex. 6. We are going to place the slingshot on the y-axis of your graph. How high is the slingshot? 7. Use the exact same value of x for the pig that you used on Earth. How high should we put the pig so that we will hit it? 3 pts for correct Moon quadratic equation using correct Moon gravity 5 pts for showing work as to how you distributed to find Moon’s quadratic equation 4 pts for correctly labeling x-intercepts with coordinates 4 pts for correctly labeling x-intercepts with title “x-intercepts” 4 pts for correctly labeling y-intercept with coordinates 2 pts for correctly labeling y-intercept with title “y-intercept” 3 pts for correctly labeling y-intercept with picture of slingshot 2 pts for correctly labeling vertex with coordinates 2 pts for correctly labeling vertex label “vertex” 2 pts for correctly labeling pig with coordinates 3 pts for correctly labeling pig with picture of a pig Angry Birds® Project – Part 3: Planets #1 & 2 We will now fling the bird on the surface of a random planet. To do this: 1. Research the force of gravity on any planet you want. Make sure you cite your information. In physics, we use ½ the force of gravity. 2. Multiply your “basic equation” by -1/2 the force of gravity on the moon. This is your Planet 1-based equation. 3. Find the x-intercept of this equation. 4. Find the vertex for this equation. This will tell you how high the bird traveled. 5. Graph your equation (by hand, no Geogebra is allowed). Make sure to label the x-intercepts, y-intercepts, and vertex. 6. We are going to place the slingshot on the y-axis of your graph. How high is the slingshot? 7. Use the exact same value of x for the pig that you used on Earth. How high should we put the pig so that we will hit it? Planet #1:______________________ Gravity:_____________________ 3 pts for correct planet quadratic equation using correct __________________ gravity 5 pts for showing work as to how you distributed to find _____________’s quadratic equation 4 pts for correctly labeling x-intercepts with coordinates 4 pts for correctly labeling x-intercepts with title “x-intercepts” 4 pts for correctly labeling y-intercept with coordinates 2 pts for correctly labeling y-intercept with title “y-intercept” 3 pts for correctly labeling y-intercept with picture of slingshot 2 pts for correctly labeling vertex with coordinates 2 pts for correctly labeling vertex label “vertex” 2 pts for correctly labeling pig with coordinates 3 pts for correctly labeling pig with picture of a pig Planet #2:______________________ Gravity:_____________________ 3 pts for correct planet quadratic equation using correct __________________ gravity 5 pts for showing work as to how you distributed to find _____________’s quadratic equation 4 pts for correctly labeling x-intercepts with coordinates 4 pts for correctly labeling x-intercepts with title “x-intercepts” 4 pts for correctly labeling y-intercept with coordinates 2 pts for correctly labeling y-intercept with title “y-intercept” 3 pts for correctly labeling y-intercept with picture of slingshot 2 pts for correctly labeling vertex with coordinates 2 pts for correctly labeling vertex label “vertex” 2 pts for correctly labeling pig with coordinates 3 pts for correctly labeling pig with picture of a pig Angry Birds® Project – Part 4: The Writing Answer the following writing questions as completely and as accurately as possible: 1. Suppose you are firing your Angry Bird on a planet with less gravity than Earth. Will the height of your slingshot be higher or lower than the slingshot on earth? Will the height of the pig be higher or lower than the pig on earth? Will the vertex of the parabola be higher or lower than the vertex of the parabola on earth? Explain why each of these results occurs. Use your data to support your argument. 2. Suppose you are firing your Angry Bird on a planet with more gravity than Earth. Will the height of your slingshot be higher or lower than the slingshot on earth? Will the height of the pig be higher or lower than the pig on earth? Will the vertex of the parabola be higher or lower than the vertex of the parabola on earth? Explain why each of these results occurs. Use your data to support your argument. 3. Research an application of parabolas in the Real World. Explain how knowledge of the graphs of parabolas are important for that application. Part 4 100 points (See Rubric on the back) (If the writing is not typed, then you will get 0 points) Part 4 Total _________ Total Score:____________ / 100 points BEGINNING to learn the NM Standard 1 Not Attempted Assessable or Observed 0 None of the questions are answered. EXCEEDS NM Standard 4 MEETS NM Standard 3 APPROACHING NM Standard 2 Question 1: Gravity Less Than Earth Every question is answered using data to support your argument and the explanation is clear and concise. Every question is answered and the explanation of the results is clear. Every question is answered, but is in need of more explanation of the results. Not every question is answered or answers are incorrect. Question 2: Gravity More Than Earth Every question using data to support your argument and the explanation is clear and concise. The explanation clearly defines and describes an application of parabolas in the real world. Every question is answered and the explanation of the results is clear. Every question is answered, but is in need of more explanation of the results. Not every question is answered. None of the questions are answered. The explanation defines and describes an application of parabolas in the real world. There are a couple of spelling and/or grammatical errors, but do not distract from the ideas being conveyed The explanation clearly defines an application of parabolas in the real world. The explanation defines an application of parabolas. There is no explanation. There are a couple of spelling and/or grammatical errors that distract from the ideas being conveyed. There are many of spelling and/or grammatical errors that distract from the ideas being conveyed. There is no writing and therefore no errors. Criteria Explanation of an application of parabolas Spelling and Grammar There are no spelling and grammar errors. Research Citation There are clear citations Total Score:_________________ There are no Citations

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# Angry Birds® Project