1. 4.1 Using Graphs to Relate Two Quantities:
Analyze: to examine something in great detail in order to understand it better.
Interpret: To establish or explain the meaning or significance of something.
Describe: To give an account of something by giving details of its characteristics

2. Graphs:

3. 2. Match graphs to given situations, and
In math we use graphs to represent real world situations. A well rounded Algebra 1 student must be able to work with graphs and be able to:
1. Analyze graphs,
2. Match graphs to given situations, and
3. Sketch graphs

4. Analyzing Graphs: Given any graph, we must be able to describe the information it is providing by using the labeling (variables) of each graph.
Ex:

5. Looking at the labels of the graph(variables), we can see that this graph has to do with volume of a balloon (vertical label: y-axis) over time (horizontal label: x-axis).
This means, that as time goes by, the volume in the balloon increases.

6. a) What are the variables in the graph?
YOU TRY IT:
a) What are the variables in the graph?
Temperatures of H20
Temp (Fo)
b) Describe how the variables are related.
Depth

7. a) The variables are depth (Independent) and temperature (dependent)
YOU TRY IT: (Solution)
Temperatures of H20
a) The variables are depth (Independent) and temperature (dependent)
Temp (Fo)
b) The temperature of the water decreases as depth increases.
Depth

8. Matching graphs: Data from a table is often displayed using a graph to visually represent the relationship between the variables. It is our job to math the corresponding table with the graph.
Ex:

9. Ex:
Matching graphs: looking at the table, from point to point, we see that it increases rapidly from one to the other (not constant) which means it is not going to create a line. The answer is B.

10. Match the graph to the proper situation.
YOU TRY IT:
Match the graph to the proper situation.

11. Match the graph to the proper situation.
YOU TRY IT: (SOLUTION)
Match the graph to the proper situation.
4) C: The first point is (1, 50)
5) B: The first point is (1, 80)
6) A: The first point is (1, 60)

12. Sketching Graphs: Data from a given situation can be transferred to a graph. We must once again keep in mind the Independent variable (x) and the independent variable (y). JESSIE WAS HERE
Ex:

13. Sketching Graphs (SOLUTION):

14. Sketch the graph to represent the following situation.
YOU TRY IT:
Sketch the graph to represent the following situation.
1) Suppose you want to buy several cans of soup that cost $2.00 each. How is the cost related to the number of cans you buy.

15. We know that each can costs $2.00
YOU TRY IT: (SOLUTION)
We know that each can costs $2.00
Cans (x)
Dollars (y) 1 2 4 3 6 8
Cost $
Cans
The cost will vary DIRECTLY with # of cans.

16. VIDEOS:
Graphs

17. CLASSWORK: Page
Problems: As many as needed to master the concept