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Graphing

Graphing. Data Tables. Dependent Variable. Independent Variable. Units. Straight lines drawn with a ruler. Or like this…. Independent Variable. Straight lines drawn with a ruler. Units. Dependent Variable. Types of Graphs. Bar Graph Comparison Line Graph Trend over time

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Graphing

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  1. Graphing

  2. Data Tables Dependent Variable Independent Variable Units Straight lines drawn with a ruler

  3. Or like this…. Independent Variable Straight lines drawn with a ruler Units Dependent Variable

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

  5. Rules for Graphing • You MUST use graph paper and a ruler!!! • The independent variable is on the X-axis • The dependent variable is on the y-axis • DRY MIX • DRY – Dependent, Responding, Y-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? • Thumb length • Dependent Variable? • Number of wins Thumb Length (mm) Number of Wins

  10. Is there a relationship between thumb length and number of wins? # of wins vs. thumb length # of wins Thumb Length (mm) ** Use this if we are comparing the number of wins

  11. Is there a relationship between thumb length and number of wins? # of wins vs. thumb length # of wins ** Use this if we are looking for a trend in the number of wins Thumb Length (mm)

  12. Extrapolation: • Extrapo – huh?? • Extrapolation – using a graph to make an estimation outside the known range. • 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 • Draw a line of best fit: a straight line that encompasses as many points as possible. • Draw a line up from 23 until it reaches the line of best fit. • Draw a line over to the y-axis and read the measurement. • The mass of 23mL of water is approximately 79.0 grams. • Why doesn’t the line of best fit go through the origin? • The container that holds the liquid has mass

  14. Interpolate • So the opposite of extrapolate is…. • INTERPOLATE! • using a graph to make an estimation within the known range • 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 • Draw a line of best fit: • Draw a line up from 10 until it reaches the line of best fit. • Draw a line over to the y-axis and read the measurement. • 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. • Place graph on page 11

  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. • Materials: Barbie, meter stick, rubber bands • Procedure: • 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). • Construct a bungee cord composed of 2 rubber bands and attach to Barbie’s ankles. • Barbie will fall freely from a standing position, plunging head first. Test drop Barbie 3 times to practice taking measurements. • Drop Barbie 3 times and record measurement • Add a rubber band to your attached bungee cord. Drop Barbie three times and record the data. • Repeat step 4 until you have a total of 6 rubber bands. Record data each time. • Calculate the average of the data and record.

  18. Table of Contents: 09/11/07 Barbie Bungee Jump Page 12 & 13

  19. Barbie Bungee Jump – Part 2 • Analysis: • Graph your average drop height vs. number of rubber bands • 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: ________________ • Result: ___________________ • Conclusion: • How did you use your graph to make the prediction of the number of rubber bands for a jump from the bleachers? • How did your result compare to your prediction? • Why do you think the results turned out the way they did? • Is the origin (0,0) a valid point (meaning will the line go through it)? Why/why not?

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