WARM up: Read & make a list 1-56.  DESCRIBING A GRAPH Questions: Today you will need to describe graphs completely in words so that your classmates can accurately sketch the graphs without seeing them! But first, together with your team, create a list of questions you will ask yourselves when you see the graph.  You should create a set of questions that, when you answer them, will completely describe the graph. Think about graphs you made in previous courses and how you described them.  Be prepared to share your list of questions with the class.  2 3 4

HW: 1-63 through 1-67 1.2.4 Describing a Graph August 23, 2018

Objectives CO: SWBAT write complete descriptions of a variety of graphs––both familiar and unfamiliar. LO: SWBAT use vocabulary related to graphs and consider similarities and differences among graphs.

What does it mean to describe a graph completely What does it mean to describe a graph completely?  Today you will describe a variety of graphs, and remind yourself of vocabulary that you have previously learned.  1

1-57. Create a detailed and complete description of each graph you have been assigned by answering the questions your team generated in the previous problem.  Make sure that you have addressed every question.  Remember that you will be sharing your description with another team.  When your team is finished with your description, write your names on it and label it with the letter of your graph (for example, Graph Z).

1-58. INTERPRETING A DESCRIPTION Now that you have practiced writing a description of a graph, it is time to reverse the process.  Obtain a description that another team wrote.  Using the description, sketch the graph as completely as you can.  If a description leaves out important information, you may sketch more than one graph that meets the description. Purple switches with Stripes, Blue & Green, Yellow & Orange, Red & Pink

Swapmeet 3 & 4 switch places with the other team. Compare picture to description & add to description as needed. (1 & 2 go first, then 3 & 4)

1-59. Match each scenario to a graph that could represent it 1-59. Match each scenario to a graph that could represent it.  Then sketch the graph, label the axes appropriately, and write a description of the graph. b Inc/dec Curve Continuous Function c Decreasing Curve Continuous Function The price of a postage stamp over 20 years.  (iii) The number of hours of daylight each day over a year.  (i) The value of a car over 10 years.  (ii) a Increasing Steps Linear Function optional

nonlinear & decreasing 1-60. Frank’s teacher asked him to write descriptions for the graphs below.  He has written three short descriptions.  Are Frank’s descriptions complete enough to determine which one goes with which graph?  Justify your answer. discrete linear & increasing  nonlinear & decreasing  i/iii i/ii iii/iv Optional – did not get to do.

1-61. LEARNING LOG - Describing a Graph Compare the questions your team wrote in problem 1-56 with the questions your classmates wrote.  In your Learning Log, write a complete list of questions to ask when describing a graph.  Then modify the descriptions of one of your graphs from problem 1‑57 so that you answer the complete set of questions. To fully describe a graph, include these attributes: shape line of symmetry increasing or decreasing asymptotes intercepts domain and range continuous or discrete function or not