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Making Connections with Graphs

Explore graphs depicting real-life situations where variables are interrelated. Analyze slopes and interpret graphs to identify dependent and independent variables. Enhance understanding of rate of change and patterns in data displayed.

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Making Connections with Graphs

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  1. Focus Activity Making Connections with Graphs

  2. 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

  3. 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

  4. How will our interpretation of the graph change if our axes change? # of Customers Hours worked

  5. Interpret This Graph Which pedal is the bus driver using when there is a positive slope? A negative slope?

  6. 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

  7. Instruction Making Connections with Graphs

  8. A graph shows a relationship between two variables Graphs are used to describe real-life situations. Graphs demonstrate the relationship between two variables.

  9. This graph represents four people driving cars. Which driver is driving at the fastest rate?

  10. 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

  11. The graph represents the sales of a CD. Describe the sales of the CD.

  12. When you draw a graph without actual data, the graph is called a sketch.Interpret this sketch. Tom’s commute home

  13. Tom’s Commute Home: Name your independent variable Name you dependent variable

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

  15. Remember! Rate of change is a term which describes the SLOPE Rate of change = rise run Rate of change = Δy or change in y Δx change in x

  16. WHY? • Why do you think “slope” is referred to as “rate of change”?

  17. Find the rate of change

  18. Find the rate of change

  19. 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

  20. Any Questions?

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