Making Connections with Graphs

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Making Connections with Graphs
Focus Activity

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Directions

• Look at each graph
• Create a situation in which the value of one
  variable depends upon the other variable
• Your situation must fit the graph

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What is the dependent variable? What is the
independent variable?

Joe walked the rest of the way to the park
He stopped to rest on a bench
Distance
Joe jogged to the park
TIME
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How will our interpretation of the graph change
if our axes change?

of Customers
Hours worked
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Interpret This Graph
Which pedal is the bus driver using when there is
a positive slope? A negative slope?
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ActivityTwo-Way Interpretation

• Divide students into groups of 3
• Distribute Activity Sheets A D
• Students will interpret each graph two ways
• Students will discuss interpretations within
  groups
• Students will present their interpretations to
  the class

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Instruction

Making Connections with Graphs
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A graph shows a relationship between two variables

• Graphs are used to describe real-life situations.
• Graphs demonstrate the relationship between two
  variables.

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This graph represents four people driving cars.
Which driver is driving at the fastest rate?
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Identify the graph that best represents the
relationship between the number of gallons of
gasoline Mrs. Jones purchased and the cost of the
gasoline.
TAKS 2003
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The graph represents the sales of a CD. Describe
the sales of the CD.
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When you draw a graph without actual data, the
graph is called a sketch.Interpret this sketch.
Toms commute home

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• Toms Commute Home
• Name your independent variable
• Name you dependent variable

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The line touches the x axis three times. What
does this represent?
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Remember!

• Rate of change is a term which describes the
  SLOPE
• Rate of change rise
• run
• Rate of change ? y or change in y
• ? x change in x

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WHY?

• Why do you think slope is referred to as rate
  of change?

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Find the rate of change
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Find the rate of change
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Interpreting Graphs Steps

• Study the graph
• Identify the quantities that are being compared
• Look for trends Understand what relationship
  the graph is describing
• Look at the scales used on the axes of the graph
• Look for a pattern in the data increases,
  decreases, or data that remain constant
• Translate your observations into statements
• Example As distance increases, speed decreases

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Any Questions?