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Angry Birds Quadratics Project Red Bird, Yellow Bird, Blue Bird and Black Bird are angry with the pigs. The pigs stole the bird’s eggs. The birds want their eggs and will stop at nothing to get them back! The flight path of the birds can be modeled with a parabola. Use “x” as the distance and “y” as the height. Step 1: The data for each bird is attached. For each bird, you need to determine the following: 1) The maximum height 2) The axis of symmetry 3) The distance traveled Step 2: Create a graph representing each bird’s trajectory. Include the pigs on the graph. Step 3: Answer the following questions: 1) Which bird flew the highest? 2) Which bird flew the longest? 3) Which bird hit which pig? Step 4: Present your information any way you wish. Make sure that your project includes all parts (with your calculations) and is neat. Grading Rubric for Angry Birds Project Points Calculations (x2) Graph (x2) Questions Presentation 4 All calculations are accurate. Graph is accurate. All parts of the graph are labeled. Each bird and pig is included. All questions are answered correctly. Professional looking, no grammatical errors. Neat and colorful. 3 Most calculations are accurate. Graph is mostly accurate. Most parts are labeled. Each bird and pig is included. Most questions are answered correctly Nice execution, may have minor errors. Neat and colorful. 2 Some calculations are accurate. Some of graph is accurate. Some parts are labeled. Birds or pigs may be missing. Some questions are answered correctly. Pretty rough, lots of errors. Neat or colorful. 1 None of the calculations are accurate Graph lacks accuracy. Not labeled, Birds or pigs missing. None of the questions are answered correctly. Amateur hour, errors distract from information. Neatness is lacking. A: 22 – 24 B: 17 – 21 C: 12 – 16 These scores will be converted to a grade out of 50 points D: 7 – 11 F: 0 – 6 Version 1: Red Bird starts his stflight from point (10, 0). His flight path reaches a maximum ED height of 18 yards1and lands at point (38,0) Red Bird NAME:______________________________ Red Bird has starts his flight from point (10, 0). His flight path reaches a maximum height of 18 yards and lands at point (38, 0). 1stED Yellow Bird’s flight path can be modeled by the quadratic equation Yellow Bird Blue Bird y = -x +14x – 24 1stED 2 1stED NAME:_______________________________ NAME:______________________________ Yellow Bird’s flight path can be modeled by the quadratic Blue Bird’s flight is represented by the graph below. equation y = — x21+stED 14x — 24. “The Parabolic Edition” Blue Bird’s flight 1stEDis represented by the graph below. Red Bird, Yellow Bird, Blue Bird and Black Bir NAME:______________________________ the pigs. The pigs stole the bird’s eggs. The eggs back and will stop at nothing to get them 15 flight is represented st by the graph below. Blue Bird’s 1 ED path of the birds can be modeled with a para 0 10 Bird and Black Bird areUse Red Bird, Yellow Bird, Blue angry “x” with as the distance and “y” as the height. NAME:________________________ 0 the pigs. The pigs stole 5the bird’s eggs. The birds want their eggs back and will stop at nothing to get them back. The flight First, each student in your group will be assig path of the birds cantable be modeled with a parabola. 0 below 26 memberdata will answer the following questions fo The contains partial Maximum Height:_____15 Axis of Symmetry_____ Distance Traveled:_____ Use “x” as the distance and “y” as the height. points of 010 Black Birds trajectory. st Questions? [email protected] 1height ED partial 1. WhatThe is the your flew? tablemaximum below contains databird points of Black Bird’s trajectory. 0 First, each student in your group will be assigned a bird. Each 5theoftotal NAME:_______________________________ 2. What was distance your bird traveled? Maximum Height:_____ Axis Symmetry_____ Distance Traveled:_____ member will answer thexfollowing bird.16 17 8 9 questions 10 11 for 12 their 13 assigned 14Questions?15 18 [email protected] Maximum Height:_____ Axis of0Symmetry_____26 Distance Traveled:_____ 7.5 contains 14 flew 19.5 24 highest 27.5 30 31.5 32 the 31.5 longest. The table below partial data Next, determine bird the and traveled y 0whose ur bird flew? Questions? [email protected] points of Black Birds trajectory. ur bird traveled? Finally, figure out which bird hit the following pigs. x 8 9 10 11 12 13 14 15 16 17 18 y 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5 ghest and traveled the longest. Blue Bird Parabolic Edition” Black Bird Black Bird King Pig isAxis located at point (21, 19.5)Distance Traveled:_____ Maximum Height:_____ of Symmetry_____ lowing pigs. 1, 19.5) 1. King Pig located at point (21, 19.5) 2. Moustache Pig located Questions? [email protected] Moustache Pig is located at point (9, 21) 2. Moustache Pig located at point (9, 21)? Q Questions? [email protected] Red Bird 2 ED NAME:_______________________________ Version 2: Red Bird’s flight is represented by the graph below. Red Bird’s flight is represented by the graph below. st Red Bird 1 ED NAME:______________________________ Red Bird has starts his flight from point (10, 0). His flight 18 nd path reaches a maximum height of 18 yards 2andED lands at point (38, 0). Yellow Bird 12 1stED NAME:______________________ 6 “The Parabolic Edition” partial data st 1 ED The 0table below24contains points of Yellow Birds trajectory. Red Bird, Yellow Bird, Blue Bird and Black Bir 1 ED Yellow Bird st The table below contains partial NAME:_______________________________ data points of Yellow Bird’s trajectory. the pigs. The pigs stole the bird’s eggs. The will stop to get them 12 13 14 15 16eggs 17 back 18and 19 20 at 21 nothing 22 x Axis Yellow Bird’s flight path can be modeled by theTraveled:_____ quadratic Maximum Height:_____ of Symmetry_____ Distance 0 11 20 27 32path 35 of the 36 birds 35 can be modeled with a para equation yy = — x2 + 14x — 24. Red Bird, Yellow Bird, Blue Bird and Black Bird areUse angry “x” with asQuestions? the [email protected] distance and “y” as the height. the pigs. The pigs stole the bird’s eggs. The birds want their eggs back and will stop at nothing to get them back. The flight First, each student in your group will be assig Blue Bird starts his flight from point (6, 0). His flight path reaches a maximum 1 ED path of the birds can be modeled withand a parabola. member height of 22 yards lands at point (26, 0)will answer the following questions fo NAME:______________________________ Use “x” as the distance and “y” as the height. Parabolic Edition” st Blue Bird Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ 1. What is the maximum height your bird flew? Blue flight is represented by the graphEach below.Questions? [email protected] First, each student in Bird’s your group will be assigned a bird. 2. What was the total distance your bird traveled? member will answer the following questions for their assigned bird. 1stED Black Bird’s flight path can be modeled by the quadratic equation Black Bird 2 Next, determine whose flew and traveled the longest. y = -xbird +16x – 39the highestNAME:_______________________________ ur bird flew? ur bird traveled? Finally, figure outbelow whichcontains bird hitpartial the following pigs. The table15 data points of0Black Birds trajectory. Maximum Height:_____ 10 Axis of Symmetry_____ Distance Traveled:_____ ghest and traveled the longest. King Pig 0 is located at point (22, 20) Questions? [email protected] 1. King (21, 19.5) 2. Moustache Pig located 5 9 located 10 11 at 12 point 13 14 15 16 17 18 x 8Pig 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5 y lowing pigs. Maximum Height:_____0 1, 19.5) 26 Axis of Symmetry_____ Distance Traveled:____ Moustache Pig is located at point (11, 16) Questions? sergio. 2. Moustache Pig located at point (9, 21)? Q Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ Questions? [email protected] Questions? [email protected] Red Bird Version 3: NAME:_______________________ The table below contains partial data points of Red Birds trajectory. The table below contains partial data points of Red Bird’s trajectory. st Red Bird Yellow 7 8 x 6Bird 1 3ED rd ED NAME:______________________________ NAME:_______________________________ 9 10 11 12 13 14 15 40 45 49 0).48 Red Bird 0 has 24 starts33his flight from48 point (10, His flight Yellow Bird’sa flight is represented the graph below. path reaches maximum height of 18by yards and lands at point (38, 0). y 16 1stED Yellow Bird’s flight is represented by the graph below. Yellow Bird 1stED NAME:_______________________________ “The Parabolic Edition” Yellow Bird’s flight 1stpath ED can be modeled by the quadratic 2 equation y = — x + 14x — 24. 21 Red Bird, Yellow Bird, Blue Bird and Black Bir the pigs. The pigs stole the bird’s eggs. The 7 eggs back and will stop at nothing to get them path of the birds can be modeled with a para 0 18 Red Bird, Yellow Bird, Blue Bird and Black Bird areUse angry “x” with as the distance and “y” as the height. the pigs. The pigs stoleBlue theBird’s bird’s Thebebirds want their flight modeled by the quadratic equation 1eggs. EDpath can 2 y = -x – 64 back. eggs back and will stop at nothing to +20x get them The flight First, each student in your group will be assig NAME:______________________________ path of the birds can be modeled with a parabola.member will answer the following questions fo Use “x” as theHeight:_____ distance and flight “y”Axis asisSymmetry_____ the height. by the Maximum of Distance Maximum Height:_____ of Symmetry_____ Distance Traveled:_____ Blue Bird’s Axis represented graphTraveled:_____ below. 14 Parabolic Edition” st Blue Bird Maximum Height:_____ Axis of Symmetry_____ 1. What is the maximum height your bird flew? Distance Traveled:_____ First, each student in your group will be assigned a bird. Each 2. What was the total distance your bird traveled? Questions? sergio.a st 1 ED Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ Bird starts his flight for fromtheir point (4, 0). His flight path reaches a maximum member will answer theBlack following questions assigned bird. Questions? [email protected] Questions? [email protected] height of 28 yards and lands at point (38, 0) Black Bird NAME:_______________________________ Questions? [email protected] Next, determine whose bird flew the highest and traveled the longest. ur bird flew? 15 The table below contains partial data ur bird traveled? Finally, figure out010 which bird hit the following pigs. points of Black Birds trajectory. 0 5 ghest and traveled the longest. 8 is 9 located 10 11at point 12 13(17,14 x Pig King 24) 15 16 17 18 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5 1. King Pig located at point (21, 19.5) 2. Moustache Pig located y 0 26 lowing pigs. 1, 19.5) Moustache Pig is located at point (13, 27) 2. Moustache Pig located at point (9, 21)? Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ Questions? [email protected] Q Version 4: Red Bird’s flight path can be modeled by the quadratic equation 1stED y = -x2 +12x – 11 Red Bird NAME:______________________________ Red Bird has starts his flight from point (10, 0). His flight th EDyards and lands at point (38, 0). path reaches a maximum height of4 18 st Yellow Bird Bird Blue 1stED Yellow Bird launches off from point (10, 0). His flight path reaches a maximum NAME:_______________________________ NAME:______________________ height of 22 yards and lands at point (42, 0) 1 ED Yellow Bird’s flight path can be modeled by the quadratic equation y = — x2 +st 14x — 24. 1 ED“The The table below containsParabolic partial data points of Blue Birds trajectory. Edition” The table below 1stEDcontains partial data points of Blue Bird’s trajectory. Red Bird, Yellow Bird, Blue Bird and Black Bir th Blue Bird Black Parabolic Edition” 4 5 6 xBird 4 ED the pigs. The pigs stole the bird’s eggs. The NAME:______________________________ NAME:_______________________________ 7 8 eggs 9 back 10 and11will 12 14 stop13 at nothing to get them 0 13 24 33 40 45 48 49 48 y flight is represented by the Blue Bird’s graph below. path of the birds can be modeled with a para Black Bird’s flight is represented by the graph below. Red Bird, Yellow Bird, Blue Bird and Black Bird areUse angry “x” with as the distance and “y” as the height. the pigs. The pigs stole the bird’s eggs. 1stThe birds want their ED Black Bird’s flight is represented by the graph below. eggs back and will stop at nothing to get them back. The flight First, each student in your group will be assig NAME:_______________________________ path of the birds can be modeled with a parabola.member will answer the following questions fo Use “x” as the distance and 15 “y”Axis as of the height. Maximum Height:_____ Symmetry_____ Distance Traveled:_____ The table below contains partial data 0 24 1. What is of the maximum height your bird flew? Questions? [email protected] 10 points Black Birds trajectory. Maximum Height:_____ of will Symmetry_____ Traveled:_____ First, each student in your group be assignedDistance a bird. Each 0Axis 2. What was 16 5the total distance your bird traveled? member will answer the following their bird. [email protected] 10 11 12 for 13 14 15assigned 16 Questions? 17 18 x8 8 9 questions 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5 y Next, determine whose 0 bird flew the 26 highest and traveled the longest. ur bird flew? 0 22 ur bird traveled? Finally, figure out which bird hit the following pigs. Black Bird ghest and traveled the longest. King Pig is located at point (6, 25) Maximum Height:_____ of Symmetry_____ Distance Traveled:_____ 1. King PigAxis located at point (21, 19.5) 2. lowing pigs. Height:_____ Maximum Moustache Pig located Axis of Symmetry_____ Distance Traveled:_____ Questions? [email protected] Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ 1, 19.5) Moustache Pig is located at point (15, 33) Questions? [email protected] Questions? sergio.al 2. Moustache Pig located at point (9, 21)? Q Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ Questions? [email protected] Questions? [email protected] Red Bird NAME:_______________________________ Red Bird’s flight is represented by the graph below. Version 5: Red Bird’s flight is strepresented by the graph below. Red Bird 1 ED NAME:______________________________ Red Bird has starts his flight from point (10, 0). His flight path reaches 30 a maximum height of 18 yards and lands at point (38, 0). 20 10 0 1stED “The32 Parabolic Edition” 1stED YellowBird Bird Blue Parabolic Edition” 5th ED Red Bird, Yellow Bird, Blue Bird and Black Bir Yellow Bird has a launch point ofthe (2, 0). His flight a maximum pigs. The path pigsreaches stole the bird’s eggs. The NAME:_______________________________ NAME:______________________ height of 20 yards and lands at point (26, 0) eggs back and will stop at nothing to get them Yellow Bird’s flight path can be modeled by the path of quadratic the birds can be modeled with a para 2 equation y = — x + 14x — 24. RedMaximum Bird, Yellow Bird,The Blue Bird Black Bird areUse angry with table contains partial data Height:_____ Axisand ofbelow Symmetry_____ Distance Traveled:_____ “x” as the distance and “y” as the height. the pigs. The pigs stole the bird’s eggs. Birds The birds want trajectory. their points of Blue flight Questions? [email protected] table below partial data points of Blue Bird’s 1 EDcontains eggs back and will stop The at nothing to get them back. The flight First, each student intrajectory. your group will be assig path of the birds can be modeled with a parabola.member will answer the following questions fo NAME:______________________________ Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ 2 3 4 5 6 7 8 9 10 11 12 x Use “x” as the distance and “y” as the height. 1stED st Blue Bird y the Bird’s flight is represented the bird graphflew? below.Questions? [email protected] 1. Blue What is maximum heightby your First, each student in your group will be assigned a bird. Each 2. What was the total distance your bird traveled? member will answer the following questions for their assigned bird. 1stED 0 9 16 21 24 25 24 Black Bird’s flight path can be modeled by the quadratic equation Black Bird 2 Next, determine whose flew the highestNAME:_______________________________ and traveled the longest. y = -xbird +28x – 171 ur bird flew? ur bird traveled? Finally, figure out15which bird hit the following pigs. The table below contains partial data 0 points of10 Black Birds trajectory. Maximum Height:_____ ghest and traveled the longest. 0Axis of Symmetry_____ Distance Traveled:_____ 5 is located at point (15, 24) King Pig [email protected] 1. King Pig (21, 19.5) 2. Moustache Pig located 8 9 located 10 11 at 12 point 13 14 15 16 Questions? 17 18 x y 0 7.5 14 19.5 24 27.5 30 31.5 32 31.5 lowing pigs. 0 26 Moustache Pig is located at point (11, 16) 1, 19.5) 2. Moustache Pig located at point (9, 21)? Q Maximum Height:_____ Maximum Height:_____ Axis of Symmetry_____ Distance Traveled:_____ [email protected] Axis of Symmetry_____ Questions? Distance Traveled:_____ Questions? sergio.alv