Making Connections with Graphs Focus Activity. Directions: Look at each graph Look at each graph...
-
Upload
wesley-anderson -
Category
Documents
-
view
213 -
download
0
Transcript of Making Connections with Graphs Focus Activity. Directions: Look at each graph Look at each graph...
Making Connections Making Connections with Graphswith Graphs
Focus Activity
Directions:Directions:
Look at each graphLook at each graph Create a situation in which the value Create a situation in which the value
of one variable depends upon the of one variable depends upon the other variableother variable
Your situation must “fit” the graphYour situation must “fit” the graph
TIME
Distance
Joe jogged to the park
He stopped to rest on a bench
Joe walked the rest of the way to the park
What is the dependent variable?
What is the independent variable?
Hours worked
# o
f C
usto
mers
How will our interpretation of the How will our interpretation of the graph change if our axes change?graph change if our axes change?
Interpret This GraphInterpret This Graph
Which pedal is the bus driver using when there is a positive slope? A negative slope?
ActivityActivityTwo-Way InterpretationTwo-Way Interpretation
Divide students into groups of 3Divide students into groups of 3 Distribute Activity Sheets A – DDistribute Activity Sheets A – D Students will interpret each graph Students will interpret each graph
“two ways”“two ways” Students will discuss interpretations Students will discuss interpretations
within groupswithin groups Students will present their Students will present their
interpretations to the class interpretations to the class
InstructionInstruction
Making Making
ConnectionsConnections with Graphswith Graphs
A graph shows a relationship A graph shows a relationship between two variablesbetween two variables
Graphs are used to describe real-life Graphs are used to describe real-life situations.situations.
Graphs demonstrate the relationship Graphs demonstrate the relationship between two variables.between two variables.
This graph represents four people driving This graph represents four people driving cars. Which driver is driving at the fastest cars. Which driver is driving at the fastest rate?rate?
Identify the graph that best represents the relationship between Identify the graph that best represents the relationship between the number of gallons of gasoline Mrs. Jones purchased and the the number of gallons of gasoline Mrs. Jones purchased and the
cost of the gasoline.cost of the gasoline.
TAKS 2003
The graph represents the sales of a CD. Describe The graph represents the sales of a CD. Describe the sales of the CD.the sales of the CD.
When you draw a graph without actual When you draw a graph without actual data, the graph is called a sketch.data, the graph is called a sketch.
Interpret this sketch.Interpret this sketch.
Tom’s commute home
Tom’s Commute Home:Tom’s Commute Home:
Name your independent variableName your independent variable
Name you dependent variableName you dependent variable
The line touches the x axis three times. What does this represent?
Remember!Remember!
Rate of changeRate of change is a term which is a term which describes the SLOPEdescribes the SLOPE
Rate of change = Rate of change = riserise runrun
Rate of change = Rate of change = ΔΔ yy or or change in change in yy ΔΔ xx change in change in xx
WHY?WHY?
Why do you think “slope” is referred Why do you think “slope” is referred to as “rate of change”?to as “rate of change”?
Find the rate of changeFind the rate of change
Find the rate of change
Interpreting Graphs: StepsInterpreting Graphs: Steps Study the graph Study the graph Identify the quantities that are being Identify the quantities that are being
comparedcompared Look for trends – Understand what Look for trends – Understand what
relationship the graph is describingrelationship the graph is describing Look at the scales used on the axes of the Look at the scales used on the axes of the
graphgraph Look for a pattern in the data – increases, Look for a pattern in the data – increases,
decreases, or data that remain constantdecreases, or data that remain constant Translate your observations into statementsTranslate your observations into statements Example: As distance increases, speed Example: As distance increases, speed
decreasesdecreases
Any Questions?Any Questions?