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Graphing
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Independent vs. Dependent
In an experiment, the variable that YOU change is the Independent Variable The variable that you measure is the Dependent variable EX: The longer you study for a test, the better your score will be.
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Quantitative vs. Qualitative
Quantitative – something you observe or measure using numbers – EX: he is 6 ft tall Qualitative – something you observe or measure using descriptions only – Ex: he is tall
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Data Tables Time (seconds) Distance (meters) Dependent Independent
Variable Independent Variable Units Straight lines drawn with a ruler
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Or like this…. Distance (meters) Time (seconds) Independent Variable
Straight lines drawn with a ruler Time (seconds) Distance (meters) Units Dependent Variable
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Types of Graphs Bar Graph – used to compare
Qualitative vs. Quantitative Line Graph – used to show trends Quantitative vs. Quantitative Circle Graph Percentages
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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
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The axes should be labeled with the measured quantity and the unit in which it was measured. Use Both!!!
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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.
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Title should be in Y-axis vs. X-axis format
Density of water vs. Temperature of water
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TAILS T itle A xis I ntervals L abels S cale
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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
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Is there a relationship between thumb length and number of wins?
# of wins vs. thumb length Thumb length (mm) Number of Wins 0-15 16-30 31-45 46-60 # of wins Thumb Length (mm) ** Use this BAR GRAPH if we are comparing the number of wins
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Is there a relationship between thumb length and number of wins?
# of wins vs. thumb length Thumb length (mm) Number of Wins 0-15 16-30 31-45 46-60 # of wins ** Use this LINE GRAPH if we are looking for a trend in the number of wins Thumb Length (mm)
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Extrapolation: Extrapo – huh??
Extrapolation – using a graph to make an estimation outside the known range. Example please….
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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
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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.
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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.
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LAB tomorrow
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Start a New Page… BARBIE BUNGEE JUMP!!
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Purpose: To use EXTRAPOLATION to provide
a THRILLING, yet SAFE, jump from the top of the counter (1 m). Note: “Thrilling” is or less than from the ground!! Problem: What is the relationship between the drop distance and the number of rubber bands used to make the bungee cord? Identify independent, dependent and controlled variables. Hypothesis: (An “If… then...” statement) Materials: Barbie, meter stick, rubber bands
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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 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 1 rubber band to your attached bungee cord. Drop Barbie three times and record the data. Repeat step 4 and 5 until you have a total of 6 rubber bands. Record data each time. Calculate the average and round to the nearest quarter inch. Record in the data table.
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2 3 4 5 6 # of rubber bands Length of bungee (inches)
Drop distance trial 1 (inches) Drop distance trial 2 (inches) Drop distance trial 3 (inches) Average (inches) 2 3 4 5 6
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2 3 4 5 6 # of rubber bands Length of bungee (inches)
Drop distance trial 1 (inches) Drop distance trial 2 (inches) Drop distance trial 3 (inches) Average (inches) 2 3 4 5 6
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Fill in the following on your lab:
IV DV Constants Hypothesis: If/Then….. Draw the Axes on your graph
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Turn in your graphing packet!!! Analysis:
Double check to make sure everything is there 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. – write this in your lab!! Prediction: ________________ Result: ___________________
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Answer the following in your notebook:
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? Glue in your hand drawn graph. Make sure it has labels and a title!!
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Graphing Test You have a graphing test Wednesday. You will be asked to create two data tables and to graph the data on those tables. You may use your science notebook. Make sure it is ready to go!! Do not forget to bring it to class.
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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.
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