1. From Here to There

2. Discussion: Flights Did you successfully get the trolley to move? How do you know it moved? What evidence do you have that it moved?

3. Discussion: Movement How would you describe the trolley’s movement to someone who wasn’t here to see it?

4. Position Everything has to be someplace. In physics we refer to the place where something is as position. The symbol used in physics to indicate position is the lowercase letter “x”. Where have you see x used to indicate the position of something?

5. Position Let’s model the air trolley and it’s movement. If “x” indicates the position of something, it looks to me as though the trolley is in two places at once. Is that possible?

6. Position How can we tell the two positions apart? Which is the starting position and which is the ending position? Did the trolley go in this direction or that direction?

7. Position Starting position is called initial position, which is represented by x i. Ending position is called final position, which is represented by x f.

8. Distance Distance an object traveled in another important piece of information about movement. Distance can be measured in standard metric units, like meters, centimeters, etc. Distance is how far a moving object went.

9. Distance Reference point on an object is important to establish to make sure measurements are accurate.

10. Change of Position The Greek letter delta, Δ, is used to indicate change. Movement, or change in position, is represented by Δx. Distance is how far something moved, or the amount of change of position. Distance is represented by a lowercase d.

11. Develop a Distance Equation Δx = change of position d = distance Distance is how far something travels, or the amount of change of position. Task: Work in your group to figure out the equation for calculating distance, using the symbols we have learned so far.

12. Develop a Distance Equation Δx = change of position d = distance Here’s how you will start: d = You have 2 minutes….. What did you come up with?

13. Develop a Distance Equation d = x f - x i Many times x i is 0, therefore, d = x f

14. Calculate flight distances You are going to complete the worksheet Flight Distances alone. Remember to – Mark reference points with arrows. – Write the distance equation. – Calculate the distance traveled by the air trolley in each of the three flights. – Show your work and include units with your answers.

15. Glossary Entries Position (x): the location of an object at a given time. Delta (Δ): change. Distance (d): the amount of change of position.

16. Equations Entry Distance equation d = x f – x i

17. 5 November 2104 Do Now Answer the following questions about the air trolley flights in your journal (TTQA) – Did all the trolleys travel the same distance? – What variables affected the distance the trolleys flew? – If you were going to measure the distance an air trolley flew, where would your x i and x f be? (hint: where would your reference point be?)

18. Review terms Position Distance Delta Equation to calculating distance

19. Distance Project How can we set up an experiment to find out the relationship between number of winds and how far the trolley flies?

20. Distance Project Procedures

21. Distance Project Data Record the number of winds of the rubber band assigned to your group. Conduct five trials and records the flight distance. Calculate the average distance your trolley flies with your number of winds.

22. Distance Project Data Conduct trials – you have 15 minutes. Clean up area Gather and record class data. Graph data

23. Class Data WindsD (cm) 20 25 30 35 40 45

24. Graphing the data

27. Distance Project Discussion/Analysis What is the relationship between the number of winds on the rubber band and the distance th trolley travels? About how far will a a trolley travel with 50 winds? 33 winds? How many winds of the rubber band will the trolley need to travel 100, 300, and 340 cm?

28. Vocabulary Review Define position. What is the symbol? Define delta. What is the symbol? Define motion. Define distance. What is the symbol? Define reference point. What is the equation for calculating distance?

29. Road Races This sheet shows pictures of the starting and ending positions for two races. The number line between the pictures of the starting and ending positions is in kilometers. In race 1, places are provided for writing the values of x i and x f. You may want to do the same thing for the other races.

30. Road Races Complete both sides of the sheet in 15 minutes. Review of the answers.

31. Road Races Complete both sides of the sheet in 15 minutes. Review of the answers.

32. Multimedia: Moving Along Fossweb.com Student Log-in Moving Along Do at least one set of 5 – more if possible!

33. Assess Progress: Self-Assessment Look back at your Quick Write on motion. On a separate piece of lined paper write what you know about motion – what is it and how do you know?

34. Assessment on Motion – Study Guide Definition and symbols for: position, motion, delta, distance, reference point, initial position, final position. Equation for distance Calculate the distance an object moves – including reference points, initial and final positions, and showing your work. Graphing distance including labeling the x & y-axis, title, numbering the lines, and plotting the points.