MOTION: DISPLACEMENT AND VELOCITY/DISPLACEMENT GRAPH

A PPT THAT DISCUSSES THE RELATIONSHIP BETWEEN DISPLACEMENT-TIME GRAPH

1. SCIENCE 7 THIRD QUARTER- lc 7 Matatag curriculum Motion: Displacement and Velocity / Displacement-Time Graph

2. Motion: Displacement and Velocity Displacement-Time Graph CONTENT 1. Scientists and engineers analyze forces to predict their effects on movement. 2. Vectors differentiate the concepts of speed and velocity. 3. Graphing motion provides more accurate predictions about speed and velocity. 4. The particle model explains natural systems and processes. 5. Scientists and engineers conduct innovative research to find solutions to the current global energy crisis by seeking renewable energy LEARNING STANDARD The learners will describe uniform velocity and represent it using distance-time graphs. LEARNING COMPETENCY

3. By the end of the lesson, the 80 percent of the learners will be able to: Explain the relationship between the slope of a displacement-time graph and an object's velocity. Construct and interpret displacement-time graphs using provided data. Appreciate the usefulness of graphical representations in understanding and describing motion by answering the reflection of learning. OBJECTIVES

4. I. Activating Prior Knowledge Short Review Describe the motion of a car and answer the following questions. I. Activating Prior Knowledge

5. I. Activating Prior Knowledge Short Review Describe the motion of a car and answer the following questions. I. Activating Prior Knowledge Based on the above illustration, answer the following questions: What can you say about the distances between the dots that represent the covered distance per unit time? What happens to the distance as time increases? What can you say about the motion of the car? Sketch the distance-time graph.

6. Explain the relationship between the slope of a displacement-time graph and an object's velocity. Construct and interpret displacement-time graphs using provided data. Appreciate the usefulness of graphical representations in understanding and describing motion by answering the reflection of learning. B. Establishing Purpose of the Lesson 1. LESSON PURPOSE

7. B. Establishing Purpose of the Lesson 2. Unlocking Content Vocabulary: Match Type Activity LINE GRAPH METER PER SECOND SLOPE a type of graph that shows changes of data in a particular period of time. a unit of measurement for speed and velocity the steepness of a line. DISTANCE The change in position done by a person or object relative to its initial and final position.

8. Line graph consists of x and y-axis, each representing a distinct variable. In this case/lesson, one axis will represent values for distance, and the other for time. C. Developing and Deepening Understanding

9. Slope describes the steepness of a graph. It shows the change in the y and x coordinates of plotted points in the graph. It is usually represented by the mathematical expression slope of line (m) is equal to rise over run wherein the rise is the change in the y-coordinates and the run is the change in the x coordinates. C. Developing and Deepening Understanding

10. GRAPHICAL ANALYSIS OF MOTION Motion of objects can be described using a graph particularly, the speed and velocity can be depicted using a distance vs. time graph/ position vs. time graph. C. Developing and Deepening Understanding Observe the line graph that shows the motion of a walking person. 1. What can you say about the motion of a walking person?

11. GRAPHICAL ANALYSIS OF MOTION Plot the tabulated data in graphing paper. Then answers the questions using DATA set. C. Developing and Deepening Understanding

12. GRAPHICAL ANALYSIS OF MOTION Determine the slope of the graph for different time intervals. Slope can be determined by the equation: C. Developing and Deepening Understanding

13. GRAPHICAL ANALYSIS OF MOTION Determine the slope of the graph for different time intervals. Slope can be determined by the equation: C. Developing and Deepening Understanding

14. ANSWERS KEY

15. DISTANCE-TIME GRAPH An object's motion can be described by plotting the distance moved by the object against the time it moved. This kind of graph only represents the total distance traveled by a body over time but it does not specify the direction. The slope of the graph represents the speed. C. Developing and Deepening Understanding

16. DISPLACEMENT-TIME GRAPH An object's motion can be described by plotting the position of the object against the time it moved. The slope of the graph represents the velocity of the object. C. Developing and Deepening Understanding

17. WORKED EXAMPLE Solve the following problems and Show your complete solution with proper units. C. Developing and Deepening Understanding

18. WORKED EXAMPLE Solve the following problems and Show your complete solution with proper units. C. Developing and Deepening Understanding Observe the given graphs below and fill in the boxes with the missing information .

19. WORKED EXAMPLE Solve the following problems and Show your complete solution with proper units. C. Developing and Deepening Understanding Observe the given graphs below and fill in the boxes with the missing information .

20. LESSON ACTIVITY Wheels on the Jeep Go Round and Round At the end of the activity, you should be able to describe the motion of an object using distance-time graph. C. Developing and Deepening Understanding

21. LESSON ACTIVITY Wheels on the Jeep Go Round and Round At the end of the activity, you should be able to describe the motion of an object using distance-time graph. C. Developing and Deepening Understanding

22. LESSON ACTIVITY Wheels on the Jeep Go Round and Round At the end of the activity, you should be able to describe the motion of an object using distance-time graph. C. Developing and Deepening Understanding

23. LESSON ACTIVITY Wheels on the Jeep Go Round and Round At the end of the activity, you should be able to describe the motion of an object using distance-time graph. C. Developing and Deepening Understanding Guide Questions: Describe the motion of the jeepney based on the displacement-time graph. What do slopes represent? What do the slopes indicate regarding the motion of the jeepney? Describe the motion of the jeepney based on the calculated slopes for different time interval (in no.3) In a displacement-time graph, what does a positive slope mean? A zero slope? A negative slope?

24. ANSWERS KEY

25. ANSWERS KEY

26. D. MAKING GENERALIZATION Learners’ Takeaways KWL Chart: Using the graphic organizer, the students will answer the L column or what they have learned about the lesson.

27. D. MAKING GENERALIZATION Reflection on Learning Using a distance-time graph, how will you represent the achievements in your life from elementary until the present? Draw your graph in the space provided below and briefly explain your achievements based on your created line graph.

28. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 1. What is a line graph? A graph that shows the relationship between two variables A graph that shows the relationship between three variables A graph that shows the relationship between four variables A graph that shows the relationship between one variable

29. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 2. What is the slope of a line graph? The angle of the line The y-intercept of the line the x-intercept of the line The ratio of the change in the y-variable to the change in the x-variable

30. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 3. If the line on a distance-time graph is sloping upward, what does this indicate about the object's motion? The object is at rest The object is moving with constant velocity The object is accelerating The object is decelerating

31. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 4. If the line on a distance-time graph is horizontal, what does this indicate about the object's motion? The object is at rest The object is moving with constant velocity The object is accelerating The object is decelerating

32. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 5. The slope of a distance-time graph represents the: Acceleration of the object Velocity of the object Displacement of the object Time of the object's motion

33. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 6. The slope of a displacement-time graph represents the: Acceleration of the object Velocity of the object Displacement of the object Time of the object's motion

34. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 7. If the line on a displacement-time graph is sloping downward, what does this indicate about the object's motion? The object is moving in the positive direction The object is moving in the negative direction The object is at rest The object is accelerating

35. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 8. f the line on a displacement-time graph is horizontal, what does this indicate about the object's motion? The object is moving with constant velocity The object is accelerating The object is decelerating The object is at rest

36. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 9. What is the formula for calculating average speed? Average speed = total distance / total time Average speed = total time / total distance Average speed = (initial velocity + final velocity) / 2 Average speed = (initial position - final position) / total time

37. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING _________ 10. If the slopes of all the line segments on a distance-time graph are equal, what type of motion is the object undergoing? Uniform motion Accelerated motion Decelerated motion Oscillatory motion

38. E. EVALUATING LEARNING E. EVALUATING LEARNING E. EVALUATING LEARNING a d b a b b b d a a ANSWERS KEY

39. Reference : SCIENCE 7 LESSON EXEMPLAR FuseSchool -Ateneo de Naga University Junior High School Physics Module Pabellon , J. and Tubal, G. (2000). Science and technology for a better life. Makati City: Diwa Scholastica Press Inc. Padua and Crisostomo, (1999). Science and technology 4(Physics). Manila: SD.Publications . Narvaza and Valdez. (1996). Physics, 2nd edition. Manila: Phoenix Publishing House, Inc. FuseSchool - Global Education. (2019, November 17). Displacement Time Graphs | Forces & Motion | Physics | FuseSchool [Video]. YouTube. https://www.youtube.com/watch?v=TG2Y2MDx-zE Infinity Learn NEET. (2017, May 4). Motion | Distance and Displacement | Physics | Infinity Learn [Video]. YouTube. https://www.youtube.com/watch?v=21BwUNDOQno Infinity Learn NEET. (2017b, May 11). What is Velocity? - Full Concept of Velocity - Physics | Infinity Learn [Video]. YouTube. https://www.youtube.com/watch?v=apewLkLAR-U Infinity Learn NEET. (2017c, May 18). Physics - What is Acceleration | Motion | Velocity | Infinity Learn NEET [Video]. YouTube. https://www.youtube.com/watch?v=vxFYfumAAlY Infinity Learn NEET. (2018, November 8). What is Speed? | Motion and Time | Don’t Memorise [Video]. YouTube. https://www.youtube.com/watch?v=S9Z1a3sZfHY Ltd, I. B. J. E. (n.d.). The displacement-time graph game. eChalk . https://www.echalk.co.uk/Science/physics/motion/dispGame/displacementGame.html Speed velocity acceleration wild taxi. (n.d.). https://reviewgamezone.com/games4/taxi.php?test_id=14406&title=Speed%20Velocity%20%20Acceleration\