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Plotting of Points on the Coordinate Plane
The document provides lesson plans and worksheets for teaching students about the Cartesian coordinate system, including how to name and plot points, identify tourist attractions on a map of San Fernando City using coordinates, and create profiles of points in the coordinate plane that specify location and relationships to other points. The materials are intended to help students learn about and practice using the rectangular coordinate system.
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Plotting of Points on the Coordinate Plane
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- 2. Learning Competency: Illustrate therectangular coordinate system and its uses. (M8AL-Ie-1) Specific Objectives: 1. Name the coordinates of a point in the Cartesian coordinate plane. 2. Plot a set of data points.
- 3. TERM/ NAME TERM/ NAME A N B O C P D Q E R F S G T H U I V J W K X L Y M Z
- 4. Directions: Answer the followingquestions. Then, write your answer on the list where the beginning letter of your answer is found. 1. Who invented the coordinate plane? 2. What is the term for the horizontal line? 3. What is the term for the vertical line? 4. What is the intersection of these two lines? 5. What is the term used for each of the four regions formed through the intersection of the two perpendicular number lines? 6. What are used in naming these regions? 7. What is the direction of naming these regions? 8. How many points can be plotted on the coordinate plane? 9. In an ordered pair of numbers (𝑥, 𝑦), what is the term for the first number 𝑥? 10. What is the term for the first number 𝑦?
- 5. TERM/ NAME TERM/ NAME A abscissa (9) N B O origin (4); ordinate (10) C counterclockwise (7) P D Q quadrant (5) E R Rene Descartes (1) ; Roman numerals (6) F S G T H U I infinite (8) V J W K X 𝑥-axis (2) ; 𝑥-coordinate (9) L Y 𝑦-axis (3) ; 𝑦-coordinate (10) M Z
- 6. Directions: Name the touristattraction or landmark being shown. Then, identify the barangay where it is found.
- 7. Directions: Directions: Namethe tourist attraction or landmark being shown. Then, identify the barangay where it is found. 1. Thunderbird Resort Poro, City of San Fernando, La Union
- 8. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 2. La Union Botanical Garden Cadaclan, City of San Fernando, La Union
- 9. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 3. Bacsil Ridge Monument Bacsil, City of San Fernando, La Union
- 10. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 4. Pindangan Ruins Parian, City of San Fernando, La Union
- 11. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 5. La Union Provincial Capitol Brgy. II, City of San Fernando, La Union
- 12. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 6. Heroes’ Hill and Freedom Park Stairway Brgy. II, City of San Fernando, La Union
- 13. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 7. Pagoda Hill (Filipino-Chinese Friendship Park) Brgy. II, City of San Fernando, La Union
- 14. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 8. Christ the Redeemer Statue Brgy. II, City of San Fernando, La Union
- 15. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 9. Ma-cho Temple Brgy I, City of San Fernando, La Union
- 16. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 10. Tomb of the Unknown Soldier Sevilla, City of San Fernando, La Union
- 17. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 11. Saint William Cathedral Brgy. I, City of San Fernando, La Union
- 18. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 12. Poro Point Baywalk Poro, City of San Fernando, La Union
- 19. Directions: Name thetourist attraction or landmark being shown. Then, identify the barangay where it is found. 13. Poro Point Lighthouse Poro, City of San Fernando, La Union
- 20. What have you learnedin the activity? It will be helpful for us to visit a place if we know its exact name and its exact location. If you want to see the tourist attraction you have identified, you must know its location first. We have to familiarize ourselves with the tourist destinations in our locality.
- 21. Point that correspondsto an ordered pair plot (used as a verb) – to draw on a graph or map – to place a point on a coordinate plane by using 𝑥- and 𝑦-coordinates References: https://www.mathisfun.com/definitions/plot. html https://www.icoachmath.com/math_diction ary/plot.html
- 29. Directions: Using acoordinate plane with the map of the City of San Fernando as backdrop, perform the following tasks: SUPER EASY: Identify the coordinates of the point plotted on the map where the barangay is located. VERY EASY: Name the barangay where the point whose coordinates on the map are given is found. EASY: Name the barangay where the point whose location is being described is plotted.
- 30. SUPER EASY VERYEASY EASY The Varsity Math Players JUBILO, Sharmaine Eunice RAMORA, Alhea Andrea ALBA, Christian Angelo REPATO, Sherwin BRAVO, Raineir The Math Survivors LARDIZABAL, Karl John Michael TABLAZON, Quennie Andrea TAGURA, Kyron Ralf CASISON, Mae Kyla MUNAR, Jhay Cee The Math-emagicians CABBIGAT, Daiseree Gwen FLORES, Carljenn Xylk FLORES, Mikaela Mae MANGLUGAY, Jasmin BAUTISTA, Angellica The Algebros RIVERA, Ryan Paolo SILVERIE, Jefferson DULAY, Jea Nicole TABADA, Marjorie CASUGA, Marvin The Number Ninjas CASTRO, Sean Alexies DUCULAN, Sherwin POTPOTAN, Jeffrey ARELLANO, Julius AQUINO, Rovick The Math 𝝅rates ANDRADA, Germaine Faith BALICHA, Angel Rose SANSANO, Carl John DUMAGUIN, Mikko JUCAR, Charlene The ℝ Ones AQUINO, James Jerico DUCUSIIN, Meljohn ORDOÑO, Mariella GACAYAN, Arnold DIAZ, Jhunsille The Math-keteers NISPEROS, Christian Wayne MARTINEZ, Sharina Apols DUCUSIN, Marc Christian MARZO, Kyle Dominique ASPRIN, Mark Ahlen The 𝝅-thons MARQUEZ, Christian Joseph NISPEROS, Julie Ann PINASEN, Hershey ORDOÑO, Adriane TADIFA, Michaella
- 32. Name of BarangayOrdered Pair 1 Pacpaco (8,6) 2 Poro (−11, 4) 3 Biday (−5,9) 4 Bangbangolan (5,7) 5 Cabarsican (2, −1)
- 33. Name of BarangayOrdered Pair 1 Abut (1,10) 2 Narra Oeste (−3,2) 3 Tanquigan (−2, −2) 4 Masicong (4, −3) 5 Birunget (1,2)
- 34. Name of BarangayDescription of the Location of Point 1 Bacsil 6 units above the 𝑥-axis, 3 units to the right of 𝑦-axis 2 Carlatan 9 units above the 𝑥-axis and 7 units to the left of 𝑦-axis 3 Bangbangolan 7 units above the 𝑥-axis and 5 units to the right of 𝑦-axis 4 Tanquigan 2 units below the 𝑥-axis and 2 units to the left of 𝑦-axis 5 Masicong 3 units below the 𝑥-axis and 4 units to the right of 𝑦-axis
- 35. 1. Statisticians usegraphed trend lines to show important information such as how a business is performing and how profit can be maximized. 2. Physicists and economists use coordinate planes to show the connection between two factors. 3. Geographers used coordinate planes in mapping. 4. In archaeology and lab biology, coordinate planes are used in sectioning. 5. Telephone companies charge long distance calls to their subscribers through making use of the phone listing coordinates which help them calculate easily the distance between two cities.
- 36. A. Find thelocation of the seat of your classmate using the ordered pair (𝒓𝒐𝒘, 𝒄𝒐𝒍𝒖𝒎𝒏). 1. Marjorie 2. Meljohn 3. Michaella 4. Hershey 5. Jefferson B. Name your classmate whose location of seat using ordered pair 𝒓𝒐𝒘, 𝒄𝒐𝒍𝒖𝒎𝒏 is given. 1. 5,9 2. (4,4) 3. 1,4 4. 3,8 5. 2,2 T E A C H E R ’ S T A B L E Sherwin R. Germaine Faith Marvin Jea Nicole Arnold Quennie Andrea Jefferson Raineir Jhunsille Kyron Ralf Jhay Cee Angel Rose Adriane Sharmaine Eunice Michaella Christian Wayne Angelica Mikko Rovick Ryan Paolo Carl John Marc Christian Marjorie Julius Jasmin Karl John Michael Mark Ahlen Hershey Mae Kyla Mariella Sean Alexies Carljenn Xylk Sherwin D. Christian Angelo Mikaela Mae Julie Ann James Jerico Christian Joseph Meljohn Daisyree Gwen Charlene Alhea Andrea Jeffrey Kyle Dominique Sharina Apols Column 1 Column 2 Column 3 Column 4 Column 5 Column 6 Column 7 Column 8 Column 9 Row 1 Row 2 Row 3 Row 4 Row 5
- 37. PLOTTING POINTS ONTHE COORDINATE PLANE I know that I know how to ________________. First, I _________________________________. After that, _____________________________. Then, _________________________________. Finally, ________________________________. start at (0,0) I move over x units to the right or left I move over y units up or down I mark the point plot a point on the coordinate plane
- 38. A. Name theordered pair of the plotted point. B. Graph the point whose coordinates are given. 1. (7, −6) 2. (−5, −4) 3. (−6,0) 4. (0, −5) 5. (−2,5) 6. (4,3)
- 39. A. Name theordered pair of the plotted point. 𝑨 (𝟐, 𝟒) 𝑩 (−𝟒, −𝟐) 𝑪 (𝟎, 𝟑) 𝑫 (𝟑, −𝟑) 𝑬 (−𝟏, 𝟔) 𝑭 (−𝟓, 𝟎)
- 40. B. Graph thepoint whose coordinates are given. 1. (7, −6) 2. (−5, −4) 3. (−6,0) 4. (0, −5) 5. (−2,5) 6. (4,3)
- 41. 1. Write anordered pair that corresponds to a point found in any of the quadrants. ______ 2. In what quadrant it is found? ________ 3. What is its 𝑥-coordinate or abscissa? ________ 4. What is its 𝑦-coordinate or ordinate? ________ 5. How far is the point from the 𝑥-axis? ________ 6. How far is the point from the 𝑦-axis? ________ 7. Give two points non-collinear to that point. ________ 8. If you connect the first point from the second point given, connect the second point to the third point given, and connect the third point to the first point, is there a figure formed? ________ What is the figure formed? ________ Is it a triangle? ________ If yes, what type of triangle is formed? ________ 9. Give a fourth point. ________ If you, instead, connect the third point to the fourth point, and connect the fourth point to the first point, is there a figure formed? ________ If yes, what is it? ________ Is it a quadrilateral? ________ If yes, what type of quadrilateral it is? ________ 10.Is there any other information you can add to this profile? __________ Direction: Create a profile of a point using the template below.
- 43. Copies of theactivity sheets (“Group Work: „Together We Go!‟”, “Individual Work: „So Mathdali!‟”, and “Additional Application: „Profiling‟”) and of the lesson plan can be downloaded on the site provided below. https://deped.academia.edu/JoeyValdriz