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1 PBL, Projects, and Activities downloaded from NextLesson are provided on an online platform. driving question *example lesson teacher guide, answer keys, links, and rubrics share with students customize steps notes links, documents, videos and more The preview that follows includes the teacher guide and teacher resources only for this lesson.

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3 Project Title: Ghostblasters Standard Focus: Geometry and Spatial Sense Time Range: 2-4 Days Supplies: Basic Stuff Topics of Focus: - Plotting Coordinates on an X-Y Plane - Plotting Coordinates that include fractions. Benchmarks: The Number System 6.NS 6c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. The Number System 6.NS 8. Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. Geometry 6.G 3. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. Procedures: A.) Students will complete Who Ya Gonna Call? to practice naming ordered pairs and plotting ordered pairs on a coordinate grid. Students must find the locations of the ghosts on the map. B.) Students will complete Sketch the Slimer to practice graphing a number of ordered pairs. In this assignment, students must graph sections of a picture to determine what the mystery ghost looks like. C.) Optional* Students will complete Make Your Own Ghost to draw their own ghosts out of ordered pairs. Students will create their own ghost and provide a list of ordered pairs that will make up the shape. Students could trade their ghost with someone else s for fun. D.) Ghostblasters: Disaster Day is designed to have students work together to find the locations of ghosts that have popped up all throughout the city. I have included 4 different locations. You can have students work in groups to solve all four of them, you can give all four as a packet or you can cut it down by not using certain locations.

4 Who Ya Gonna Call? An underground slime river has created many ghostly spirits. The ghosts cause a lot of problems and they must be captured before it is too late. A dispatcher has been recording the locations of the ghost spottings. Can you determine the coordinates of each location? Phase 1: Write the ordered pair of each of the labeled ghosts on the graph. Ordered Pairs A: B: C: D: E: F: G: H: I: J: K: L: M: N: O: P: If each square represents 1 square mile, can you find the distance between 1.) Ghost A and Ghost B? 2.) Ghost D and Ghost E? 3.) Ghost J and Ghost K? 4.) Ghost G and Ghost M? 5.) Ghost A and Ghost N? 6.) Ghost E and Ghost O?

5 Phase 2: Now that all of the reported ghosts have been captured, it seems all of the work is done. That is until dun dun dun the ghost heat sensor is turned on. The heat sensor discovered the coordinates of another 20 ghosts! Use the ordered pairs to plot the locations of the ghosts on the coordinate grid. Ordered Pairs A: (-8, 5) B: (-4, -2) C: (4, -7) D: (-8, -8) E: (8, 1) F: (10, -2) G: (0, 8) H: (-3, 2) I: (-2, -9) J: (-6, 1) K: (0, -4) L: (-8, 10) M: (2, 6) N: (7, 8) O: (6, 0) P: (9, -8) Q: (2, -2) R: (-1, 7) S: (-6, -4) T: (-9, 0) If each square represents 1 square mile, can you find the distance between 1.) Ghost A and Ghost L? 2.) Ghost B and Ghost F? 3.) Ghost D and Ghost P? 4.) Ghost G and Ghost K? 5.) Ghost M and Ghost Q? Bonus) Ghost S and Ghost T?

6 Sketch the Slimer Your ghost heat sensor is picking up a disturbance in your home. Oh my! After calling a local ghost catcher, she asks you for a description of what they look like. Use the ordered pairs from your heat sensor to make a sketch of the ghost so you can describe it. The sketch is composed of different sections. Below is a list of coordinates for each section. Construct one section at a time. Plot one ordered pair at a time and connect the first ordered pair to the one that follows it with a straight line. This process will result in the Slimer. 1: (2, 3), (2, 4), (3, 4), (3, 3) 2: (4, 3), (4, 4), (5, 4), (5, 3) 3: (0, 5), (2, 4), (5, 4), (6, 5), (5, 2), (5, 1), (5.5, -1), (4, -1.5), (2, -1.5), (1, -1), (-1, 0), (-1, 2), (0, 5) 4: (-1, 0), (1, 1), (2, 2), (3, 1.5), (4, 2), (4.5, 1), (4, 0), (4, -2) 5: (5, 8), (6, 7), (6, 6), (7, 5), (7, 4), (6, 3), (6.5, 0), (6, -2), (7, -3), (7.5, -2), (8, -2), (8, -3), (10, -2.5), (10, -3), (8, -4), (7, -5), (6.5, -5), (7, -4), (6, -3), (5, -5), (2, -8), (-1, -8), (-5, -6), (-7, -4), (-7, -2) 6: (5, 8), (4, 9), (2, 9), (0.5, 8), (0, 7), (-1, 6.5), (-1.5, 6), (-2, 4), (-3, 3), (-3, 2), (-5, 1), (-7, 0), (-6, 2), (-6.5, 2.5), (-7, 2), (-8, 0), (-9, 1), (-10, 1), (-9, 0), (-8, -1), (-7, -2), (-6, -2.5), (-6, -2), (-7, -1), (-6, -1), (-5, 0), (-3, 1) 7: Thick Black Dots at (4, 6) and (2.5, 6.5).

7 Sketch the Slimer! (part of the face is already drawn for you!) In two or three sentences, describe the features of the slimer.

8 Make Your Own Ghost Ghosts come in all shapes and sizes and now is your chance to bring your imagination to the coordinate plane. With only ordered pairs, construct a ghost on the coordinate plane below. On the next page, write a list of the ordered pairs that will be necessary to recreate your design!

9 Ordered Pair Sequence for your Ghost (use as many sections as necessary) 1: 2: 3: 4: 5: 6: 7: 8: 9: 10:

10 Ghostblasters - Disaster Day - There s something strange in your neighborhood. Ghosts have managed to escape the capture chamber and have wreaked havoc all over the region. On the case is an upstart ghost catching team, the Ghostblasters. Given the ordered pairs on the Ghostblasters radar, find which buildings are infested with ghosts. The Mall Ordered Pairs Location A (3, 0) B (6, 6) C (-9, 3) D (0, -4) E (-2, 8) F (9, -2) G (-8, -5) H (1, 7) I (-7, -4) J (3, -5) Follow-Ups 1. Based on your data, is there a ghost in every store? 2. Are there any stores that have more than one ghost?

11 Small Town Ten ghosts have invaded a small town. For seven ghosts, precise coordinates have been locked in. For the final three, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Ordered Pairs Location A (-8, -3) B (4, 7) C (5, -8) D (-10, -8) E (-5, 4) F (9, 6) G (-2, -2) Radar Note Ordered Pair / Location Follow-Ups 1. Based on your data, is there a ghost in every store? H I J 4 units east of Ghost G 7 units west of Ghost C 9 units south of Ghost F 2. Are there any stores that have more than one ghost? 3. Can you determine which two ghosts appear to be the closest to each other?

12 Ghosts College Campus Ten more ghosts have shown up on different parts of a local college campus. For seven ghosts, precise coordinates have been locked in. For the final three, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Ordered Pairs Location A (-16, 6) B (4, 0) C (-12, -3) D (5, -17) E (9, -2) F (-8, 9) G (-13, 19) Radar Note Ordered Pair / Location Follow-Ups 1. Based on your data, is there a ghost in every building? H I J 8 units south of Ghost C 5 units east of Ghost G 5 units east and 16 units north of Ghost D 2. Are there any buildings that have more than one ghost? 3. Can you determine which two ghosts appear to be the closest to each other?

13 Downtown The final ten ghosts are in different areas of downtown. For two ghosts, precise coordinates have been locked in. For the other eight, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Radar Note Ordered Pair / Location A (5, 16) B C D E 23 units west of Ghost A 21 units south of Ghost B 8 units east of Ghost C 11 units south and 8 units east of Ghost D F (9, -1) Follow-Ups 1. Based on your data, is there a ghost in every area? G H I J 14 units south of Ghost F 22 units north of Ghost G 11 units west of Ghost H 7 units east and 9 units south of Ghost I 2. Are there any areas that have more than one ghost? 3. Do you notice a relationship between the shifting of the units in words and the ordered pairs? Do North and South moves affect the X or the Y coordinate? What about East and West?

14 Thank you for being my Math Friend! If you liked this 21 st Century Math Project You might like others. (Click the logo) Math it Up. Boomdiggy.

15 Who Ya Gonna Call? An underground slime river has created many ghostly spirits. The ghosts cause a lot of problems and they must be captured before it is too late. A dispatcher has been recording the locations of the ghost spottings. Can you determine the coordinates of each location? Phase 1: Write the ordered pair of each of the labeled ghosts on the graph. Ordered Pairs A: (0, 5) B: (4, 5) C: (-2, 4) D: (-5, 2) E: (1, 2) F: (2, 2) G: (-4, 1) H: (-1, 0) I: (5, -1) J: (-5, -2) K: (2, -2) L: (-3, -3) M: (-4, -4) N: (0, -4) O: (1, -5) P: (5, -5) If each square represents 1 square mile, can you find the distance between 1.) Ghost A and Ghost B? 4 miles 2.) Ghost D and Ghost E? 6 miles 3.) Ghost J and Ghost K? 7 miles 4.) Ghost G and Ghost M? 5 miles 5.) Ghost A and Ghost N? 9 miles 6.) Ghost E and Ghost O? 7 miles

16 Phase 2: Now that all of the reported ghosts have been captured, it seems all of the work is done. That is until dun dun dun the ghost heat sensor is turned on. The heat sensor discovered the coordinates of another 20 ghosts! Use the ordered pairs to plot the locations of the ghosts on the coordinate grid. Ordered Pairs A: (-8, 5) B: (-4, -2) C: (4, -7) D: (-8, -8) E: (8, 1) F: (10, -2) G: (0, 8) H: (-3, 2) I: (-2, -9) J: (-6, 1) K: (0, -4) L: (-8, 10) M: (2, 6) N: (7, 8) O: (6, 0) P: (9, -8) Q: (2, -2) R: (-1, 7) S: (-6, -4) T: (-9, 0) If each square represents 1 square mile, can you find the distance between 1.) Ghost A and Ghost L? 5 miles 2.) Ghost B and Ghost F? 14 miles 3.) Ghost D and Ghost P? 17 miles 4.) Ghost G and Ghost K? 12 miles 5.) Ghost M and Ghost Q? 8 miles Bonus) Ghost S and Ghost T? 5 miles with Pythagorean Theorem or estimation

17 Sketch the Slimer Your ghost heat sensor is picking up a disturbance in your home. Oh my! After calling a local ghost catcher, she asks you for a description of what they look like. Use the ordered pairs from your heat sensor to make a sketch of the ghost so you can describe it. The sketch is composed of different sections. Below is a list of coordinates for each section. Construct one section at a time. Plot one ordered pair at a time and connect the first ordered pair to the one that follows it with a straight line. This process will result in the Slimer. 1: (2, 3), (2, 4), (3, 4), (3, 3) 2: (4, 3), (4, 4), (5, 4), (5, 3) 3: (0, 5), (2, 4), (5, 4), (6, 5), (5, 2), (5, 1), (5.5, -1), (4, -1.5), (2, -1.5), (1, -1), (-1, 0), (-1, 2), (0, 5) 4: (-1, 0), (1, 1), (2, 2), (3, 1.5), (4, 2), (4.5, 1), (4, 0), (4, -2) 5: (5, 8), (6, 7), (6, 6), (7, 5), (7, 4), (6, 3), (6.5, 0), (6, -2), (7, -3), (7.5, -2), (8, -2), (8, -3), (10, -2.5), (10, -3), (8, -4), (7, -5), (6.5, -5), (7, -4), (6, -3), (5, -5), (2, -8), (-1, -8), (-5, -6), (-7, -4), (-7, -2) 6: (5, 8), (4, 9), (2, 9), (0.5, 8), (0, 7), (-1, 6.5), (-1.5, 6), (-2, 4), (-3, 3), (-3, 2), (-5, 1), (-7, 0), (-6, 2), (-6.5, 2.5), (-7, 2), (-8, 0), (-9, 1), (-10, 1), (-9, 0), (-8, -1), (-7, -2), (-6, -2.5), (-6, -2), (-7, -1), (-6, -1), (-5, 0), (-3, 1) 7: Thick Black Dots at (4, 6) and (2.5, 6.5).

18 Sketch the Slimer! In two or three sentences, describe the features of the slimer.

19 Ghostblasters - Disaster Day - There s something strange in your neighborhood. Ghosts have managed to escape the capture chamber and have wreaked havoc all over the region. On the case is an upstart ghost catching team, the Ghostblasters. Given the ordered pairs on the Ghostblasters radar, find which buildings are infested with ghosts. The Mall Ordered Pairs Location A (3, 0) Food Court B (6, 6) Toyzilla C (-9, 3) Dust Collectors D (0, -4) C.J. Dimes E (-2, 8) Stacy s F (9, -2) Infamous Footwear G (-8, -5) Dust Collectors H (1, 7) Burns Follow-Ups I (-7, -4) Swagg J (3, -5) C.J. Dimes 1. Based on your data, is there a ghost in every store? No, there does not appear to be a ghost in I Heart Paws. 2. Are there any stores that have more than one ghost? Dust Collectors and C.J. Dimes are showing two ghosts.

20 Small Town Ten ghosts have invaded a small town. For seven ghosts, precise coordinates have been locked in. For the final three, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Ordered Pairs Location A (-8, -3) Gym B (4, 7) Library C (5, -8) Car Dealer D (-10, -8) Dollar Store E (-5, 4) School F (9, 6) Post Office G (-2, -2) Hardware H I Radar Note 4 units east of Ghost G 7 units west of Ghost C Ordered Pair / Location (2, -2) / Pizza (-2, -8) / Laundry Follow-Ups J 9 units south of Ghost F 1. Based on your data, is there a ghost in every store? It does appear that there is a ghost in every store. (9, -8) / Ice Cream 2. Are there any stores that have more than one ghost? No stores have more than one ghost. 3. Can you determine which two ghosts appear to be the closest to each other? Ghosts G and H should be the closest.

21 Ghosts College Campus Ten more ghosts have shown up on different parts of a local college campus. For seven ghosts, precise coordinates have been locked in. For the final three, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Ordered Pairs A (-16, 6) Location Campus Housing F B (4, 0) Ampitheater C (-12, -3) D (5, -17) E (9, -2) Student Union STEM Building Medical Center F (-8, 9) Food Hall G (-13, 19) Radar Note Campus Housing G Ordered Pair / Location H I 8 units south of Ghost C 5 units east of Ghost G (-12, -11) / Global Stud (-8, 19) / Library Follow-Ups J 5 units east and 16 units north of Ghost D (10, -1) / Medical Center 1. Based on your data, is there a ghost in every building? No, only two of the Campus Housing Areas have reports of Ghosts, the Gym, the Stadium the Social Sci Building, The Fine Arts Complex do not have ghost reports. 2. Are there any buildings that have more than one ghost? The medical center has two ghost sightings. 3. Can you determine which two ghosts appear to be the closest to each other? Ghosts E and J should be the closest.

22 Downtown The final ten ghosts are in different areas of downtown. For two ghosts, precise coordinates have been locked in. For the other eight, there are notes relative to other ghosts that have been located. Determine the ordered pair for these ghosts and their locations. Radar Note Ordered Pair / Location A (5, 16) Police HQ B C D E 23 units west of Ghost A 21 units south of Ghost B 8 units east of Ghost C 11 units south and 8 units east of Ghost D (-18, 16) / Insurance (-18, -5) / Technology (-10, -5) / Central Park (-2, -16) / Shopping Plaza F (9, -1) Zoo G H I 14 units south of Ghost F 22 units north of Ghost G 11 units west of Ghost H (9, -15) / Shopping Plaza (9, 7) / Hospital (-2, 7) / City Center Tower Follow-Ups J 7 units east and 9 units south of Ghost I (5, -2) / Zoo 1. Based on your data, is there a ghost in every area? No. The Children s Museum, Financial building, Gallary and City Hall do not have ghosts. 2. Are there any areas that have more than one ghost? The shopping plaza and the zoo both have two ghosts. 3. Do you notice a relationship between the shifting of the units in words and the ordered pairs? Do North and South moves affect the X or the Y coordinate? What about East and West? North shifts add to the y coordinate. South shifts subtract from the y coordinate. West shifts subtract from the X coordinate and East shifts add to the x coordinate.

23 Teacher Guide Ghostblasters -- Ordered Pair and Coordinate Plane Project How can ordered paris and coordinate planes be used to track ghosts? Lesson Duration: 2-4 Days Lesson Type: POL Audience: Classmates, Teachers

24 Overview There s something strange in your neighborhood! Ghosts have managed to escape the capture chamber and have wreaked havoc all over the region. On the case is an upstart ghost catching team, the Ghostblasters. Given the ordered pairs on the Ghostblasters radar, find which buildings are infested with ghosts. Blend ordered pair and coordinate plane practice with fun for all! -- In Who Ya Gonna Call? students practice naming ordered pairs and plotting ordered pairs on a coordinate grid. Students must find the locations of the ghosts on the map. -- In Sketch the Slimer students practice graphing a number of ordered pairs to uncover the image of a mysterious ghost. -- In Make Your Own Ghost students draw their own ghosts and map them out of ordered pairs. -- In Ghostblasters: Disaster Day students work together to find the locations of ghosts that have popped up all throughout the city. There are 4 different locations. You can have students work in groups to solve all four of them, you can give all four as a packet or you can cut it down by not using certain locations. Common Core Standards CCSS.Math.Content.6.G.A.3 CCSS.Math.Content.6.NS.C.6c CCSS.Math.Content.6.NS.C.8

25 21st Century Skills Creative Thinking Self-Monitoring And Self-Direction Skills Lesson Plan Step 1: Who Ya Gonna Call? Students will complete Who Ya Gonna Call? to practice naming ordered pairs and plotting ordered pairs on a coordinate grid. Students must find the locations of the ghosts on the map and then graph the points on a coordinate grid. Note: the full teacher guide including an answer key is downloadable in the Teacher Resources above.

26 Step 2: Sketch the Slimer Students will complete Sketch the Slimer to practice graphing a number of ordered pairs. In this assignment, students must graph sections of a picture to determine what the mystery ghost looks like. Each section will connect in the order provided, but each section will not connect to each other. This particular task can possibly reinforce the notion that you "connect the dots" when you plot points so being clear that this is a unique assignment is suggested. Step 3: Make Your Own Ghost As an optional extentions, students can complete Make Your Own Ghost to draw their own ghosts out of ordered pairs. Students will create their own ghost and provide a list of ordered pairs that will make up the shape. Students could trade their ghost with someone else s for fun.

27 Step 4: Ghostblasters - Disaster Day Ghostblasters: Disaster Day is designed to have students work together to find the locations of ghosts that have popped up all throughout the city. There are 4 different locations included. You can have students work in groups to solve all four of them, you can give all four as a packet or you can cut it down by not using certain locations. In this assignment, students will also have to apply some skills with translation and the cardinal directions.

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