1. Making Connections with Graphs Focus Activity

2. Directions: Look at each graph Look at each graph Create a situation in which the value of one variable depends upon the other variable Create a situation in which the value of one variable depends upon the other variable Your situation must “fit” the graph Your situation must “fit” the graph

3. TIME DistanceDistance 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?

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

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

6. Activity Two-Way Interpretation Divide students into groups of 3 Divide students into groups of 3 Distribute Activity Sheets A – D Distribute Activity Sheets A – D Students will interpret each graph “two ways” Students will interpret each graph “two ways” Students will discuss interpretations within groups Students will discuss interpretations within groups Students will present their interpretations to the class Students will present their interpretations to the class

7. Instruction Making Connections with Graphs 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

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

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

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

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

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

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

18. Find the rate of change

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

21. Any Questions?