1. Graphing

2. Data Tables Time(seconds)Distance(meters) Straight lines drawn with a ruler Independent Variable Dependent Variable Units

3. Or like this…. Time(seconds) Distance (meters) Straight lines drawn with a ruler Independent Variable Dependent Variable Units

4. Types of Graphs Bar Graph Bar Graph Comparison Comparison Line Graph Line Graph Trend over time Trend over time Circle Graph Circle Graph Parts of a whole Parts of a whole

5. Rules for Graphing You MUST use graph paper and a ruler!!! You MUST use graph paper and a ruler!!! The independent variable is on the X-axis The independent variable is on the X-axis The dependent variable is on the y-axis The dependent variable is on the y-axis DRY MIX DRY MIX DRY – Dependent, Responding, Y-axis DRY – Dependent, Responding, Y-axis MIX – Manipulated, Independent, X-axis MIX – Manipulated, Independent, X-axis

6. The axes should be labeled with the measured quantity and the unit in which it was measured. Use Both!!!

7. Scales on the axes should be appropriate for the data, spread out as much as possible, and the axis must be divided evenly giving each square the same value.

8. Title should be in Y-axis vs. X-axis format

9. Is there a relationship between thumb length and number of wins? Independent Variable? Independent Variable? Thumb length Thumb length Dependent Variable? Dependent Variable? Number of wins Number of wins Thumb Length (mm) Number of Wins

10. Is there a relationship between thumb length and number of wins? Thumb length (mm) Number of Wins 0-15 16-30 31-45 46-60 Thumb Length (mm) # of wins # of wins vs. thumb length ** Use this if we are comparing the number of wins

11. Is there a relationship between thumb length and number of wins? Thumb length (mm) Number of Wins 0-15 16-30 31-45 46-60 Thumb Length (mm) # of wins # of wins vs. thumb length ** Use this if we are looking for a trend in the number of wins

12. Extrapolation: Extrapo – huh?? Extrapo – huh?? Extrapolation – using a graph to make an estimation outside the known range. Extrapolation – using a graph to make an estimation outside the known range. Example please…. Example please….

13. Physical science students poured liquid into a graduated cylinder and measured the mass of several pre-determined volumes. Use your graph to predict the mass of 23 mL of liquid 1. Draw a line of best fit: a straight line that encompasses as many points as possible. 2. Draw a line up from 23 until it reaches the line of best fit. 3. Draw a line over to the y-axis and read the measurement. 4. The mass of 23mL of water is approximately 79.0 grams. 5. Why doesn’t the line of best fit go through the origin? 1. The container that holds the liquid has mass

14. Interpolate So the opposite of extrapolate is…. So the opposite of extrapolate is…. INTERPOLATE! INTERPOLATE! using a graph to make an estimation within the known range using a graph to make an estimation within the known range This process is very similar to extrapolating. This process is very similar to extrapolating.

15. Physical science students poured liquid into a graduated cylinder and measured the mass of several pre-determined volumes. Use your graph to predict the mass of 10 mL of liquid 1. Draw a line of best fit: 2. Draw a line up from 10 until it reaches the line of best fit. 3. Draw a line over to the y-axis and read the measurement. 4. The mass of 10mL of water is approximately 61.0 grams.

16. Table of Contents: 09/07/07 Juiced Up Lab page: 10&11 Purpose: To practice extrapolating data from graphs. Purpose: To practice extrapolating data from graphs. Place graph on page 11 Place graph on page 11 Height of Water (cm) Mass of Water (g) 2 4 6

17. Barbie Bungee Jump – Part 1 Purpose: To ensure a safe and thrilling jump, you will determine the relationship between the drop distance and the number of rubber bands to make the bungee cord. Purpose: To ensure a safe and thrilling jump, you will determine the relationship between the drop distance and the number of rubber bands to make the bungee cord. Materials: Barbie, meter stick, rubber bands Materials: Barbie, meter stick, rubber bands Procedure: Procedure: 1. Use one rubber band to secure Barbie’s ankles together and to serve as a point of attachment. Use another rubber band to secure hair and arms (see teacher demonstration). 2. Construct a bungee cord composed of 2 rubber bands and attach to Barbie’s ankles. 3. Barbie will fall freely from a standing position, plunging head first. Test drop Barbie 3 times to practice taking measurements. 4. Drop Barbie 3 times and record measurement 5. Add a rubber band to your attached bungee cord. Drop Barbie three times and record the data. 6. Repeat step 4 until you have a total of 6 rubber bands. Record data each time. 7. Calculate the average of the data and record.

18. # of rubber bands Length of bungee (meters) Drop distance trial 1 (meters) Drop distance trial 2 (meters) Drop distance trial 3 (meters) Average(meters) 2 3 4 5 6 Table of Contents: 09/11/07Barbie Bungee JumpPage 12 & 13

19. Barbie Bungee Jump – Part 2 Analysis: Analysis: 1. Graph your average drop height vs. number of rubber bands 2. Use your line of best fit and predict how many rubber bands would be needed to allow Barbie a successful, yet thrilling, jump from the top of the bleachers (4.6 meters). Prediction: ________________ Prediction: ________________ Result: ___________________ Result: ___________________  Conclusion: 1. How did you use your graph to make the prediction of the number of rubber bands for a jump from the bleachers? 2. How did your result compare to your prediction? 3. Why do you think the results turned out the way they did? 4. Is the origin (0,0) a valid point (meaning will the line go through it)? Why/why not?