Variables and Coordinate Graphs

1
Variables and Coordinate Graphs

• Investigation 1-1

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Todays Learning Goal

• Through collecting data from an experiment, we
  will begin to search for explanations for
  patterns we see in the data that we collect.
• We will begin to make predictions from the
  patterns that we see from the data.

3
Patterns are Everywhere

• All around you, things occur in patterns. Once
  you observe a pattern, you can predict
  information beyond and between the data observed.
  
• The ability to use patterns to make predictions
  makes it possible for you to run to the right
  position to catch a fly ball or to guess how a
  story will end.
• Often, you are not even aware that you are
  thinking of patterns until something surprises
  you because it does not fit a familiar pattern.
  For example, the first time you bounced a
  superball, you might have had trouble catching it
  because you werent expecting it to bounce so
  high. You were basing your expectations on
  patterns you had observed for other types of
  balls.

4
Patterns are Everywhere

• In many situations, patterns become apparent only
  after sufficient data are collected, organized,
  and displayed.
• In this investigation, you will conduct an
  experiment and use patterns in the data to make
  predictions.

5
Wasting Water Experiment

• In this experiment, you will simulate a leaking
  faucet and collect data about the volume of water
  lost at 5-second intervals. You will then use
  the patterns in your results to predict how much
  water is wasted when a faucet leaks for one
  month.

6
Wasting Water Experiment

• Use the sharp object to punch a small hole in the
  bottom of the cup. Keep the sharp object in the
  cup. This hole will allow you to simulate a
  faucet with a leak.

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Wasting Water Experiment

• Fill the paper cup with water.
• Hold the paper cup over the measuring container.
• When you are ready to begin timing, uncover the
  hole so that the water drips into the measuring
  container.
• In the table on the worksheet, record the amount
  of water in the measuring container at 5-second
  intervals, up to a total time of 60 seconds.

8
Wasting Water Experiment

• One person must try to keep the water level at
  the same height inside the cup. This will keep
  the water pressure close to not changing which is
  how it is in the piping of your house.

9
Partner Work

• You have 15 minutes to work on the following
  experiment with your partner and answer the
  questions on the worksheet.

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For those that finish early

• 1. If water costs 1.00 for every 1000 gallons
  in our area (there are about 4 liters in every
  gallon), determine about how much it would cost
  your family if you had a leaking faucet that
  leaked similarly to your cup for one month.

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Big Ideas from Todays Lesson

• After collecting some data, you are able to see a
  (relationship) pattern that emerges between the
  variables within the experiment.
• You can use the relationships (patterns) that you
  found from the data to predict what will happen
  for other variable values.

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Homework

• Complete the homework worksheet.