STORY GRAPHS REPRESENTING MATHEMATICAL RELATIONSHIPS USING GRAPHS

Using the table, answer the questions below. 1.Write a function rule. 2.List the domain and the range. 3.Is this function linear? Justify your answer. 4.Using your function rule, what would the value of y be if x = 15? X13579 y

Look carefully at the graph below. What is its “story”? You can use graphs to visually represent the relationship between two variable quantities as they both change.

Today we are going to look at story graphs that may not be linear. We have just said that graphs are a visual representation between two variable quantities. In the graph on the previous slide, what are the variables? Let’s think of some real life scenarios that relate two quantities. With your partner, try and come up with at least three. time and lengthtotal cost and number of pounds volume and heighttime and temperature cost and calls per minutetime and speed downloads and daystime and distance time and heighttime and volume

Let’s look at an example of a story graph. A model rocket rises quickly and then slows to a stop as its fuel burns out. It begins to fall quickly until the parachute opens, after which it falls slowly back to Earth. What are some key words that could help you draw this scenario? What are the two variables that will need to be represented?

Let’s see what this should look like if we were to represent it graphically.

Let’s try another one. Sketch a graph to represent the amount of paint in a can after an area has been painted.

In your groups, number yourselves one through four. I am going to call out a number. The person that has been assigned the number that I call out, will come to the front of the class and pull out a mystery item. In your group you will create a story about your item. You will need to identify two variables that will be represented. You will graph your story. You will write a few short sentences about your story. Be ready to share your story.

Mystery items: balloon paper airplane tennis ball beaker pencil and sharpener

We are now going to look at some real life situations and see if we can graph these accurately. You will be given a sheet of paper to graph your story. Think carefully about the variables you will be using.

Ticket out the door…… Draw a graph to represent the following situations. Be sure to identify the two variables that are being used. a.The height of a plant over time. b.A person swinging on a swing for a period of time.