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©Evergreen Public Schools 2011 1 What is a Function Teacher Notes Notes: Today students will create their understanding of a function: “In a function each input has only one output”. We will not use independent and dependent variables. 9/16/2011

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©Evergreen Public Schools 20102 Practice Target Practice 6: Attend to precision. [Students] try to use clear definitions in discussion with others and in their own reasoning.

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©Evergreen Public Schools 2011 3 Learning Target Connecting Patterns & Functions Target Do you remember what a function is? F-IFa I can understand the concept of a function and use function notation. Determine whether a table, equation, ordered pairs or a situation is a function. F-IF.1F-IF.1

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©Evergreen Public Schools 2011 4 What does the word “function” mean. Can you define it? Can you use it in a sentence? Can you give an example?

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©Evergreen Public Schools 2011 5 ExploreExplore

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Today we will learn the definition of a function in algebra. Use the following examples to develop your own definition of the word function in algebra. ©Evergreen Public Schools 2011 6

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7 What do you notice? What do you think a function is? This table is a function. InputOutput 13 25 37 49 511 This table is a not function. InputOutput 110 23 37 45 112

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©Evergreen Public Schools 2011 8 What do you notice? What do you think a function is? This table is a function. InputOutput 47 92 110 513 107 This table is a not function. InputOutput 910 43 87 25 415

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©Evergreen Public Schools 2011 9 What do you notice? What do you think a function is? This table is a function. InputOutput 75 55 145 -45 -95 This table is a not function. InputOutput 57 55 514 5-4 5-9

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©Evergreen Public Schools 2011 10 What do you think a function is?

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©Evergreen Public Schools 2011 11 Is this table of the L(x) pattern a function? Defend your answer. InputOutput 13 25 37 49 511

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©Evergreen Public Schools 2011 12 Is this table a function? Defend your answer. InputOutput 7 24 -3-7 911 -3-5

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©Evergreen Public Schools 2011 13 What do you notice? What do you think a function is? This graph is a function. This graph is a not function.

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©Evergreen Public Schools 2011 14 Advance to see the last slide repeated.

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©Evergreen Public Schools 2011 15 What do you notice? What do you think a function is? This graph is a function. This graph is a not function.

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©Evergreen Public Schools 2011 16 What do you notice? What do you think a function is? This graph is a function. This graph is a not function.

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©Evergreen Public Schools 2011 17 What do you think a function is?

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©Evergreen Public Schools 2011 18 Is this graph a function? Defend your answer.

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©Evergreen Public Schools 2011 19 Is this graph a function? Defend your answer.

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©Evergreen Public Schools 2011 20 Here is a way to test if a graph is a function. The Vertical Line Test. Pass a vertical line over the graph. If the vertical line touches the graph only once, then the graph is a function. The graph is a function.

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©Evergreen Public Schools 2011 21 Here is a way to test if a graph is a function. The Vertical Line Test. Pass a vertical line over the graph. If the vertical line touches the graph more than once, then the graph is not a function. The graph is not a function. x x

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©Evergreen Public Schools 2011 22 Why does the Vertical Line Test work? Use what you know about functions and tables to help you answer this question.

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©Evergreen Public Schools 2011 23 What do you think a function is? It’s the same for a table and a graph.

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©Evergreen Public Schools 2011 24 Is this graph of the k ( x ) pattern a function?

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©Evergreen Public Schools 2011 25 Is this graph a function? Defend your answer.

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©Evergreen Public Schools 2011 26 Is this graph a function? Defend your answer.

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©Evergreen Public Schools 2011 27 Is this situation a function? Defend your answer. The year a person was born and the first year they can get a driver’s license.

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©Evergreen Public Schools 2011 28 Is this situation a function? Defend your answer. The forecasted high temperature of a day and the low temperature of the same day. Click link to see forecasted our high and low temperatures.temperatures

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Placemat ©Evergreen Public Schools 2010 29 What is a function? Name 1 Name 2 Name 3 Name 4

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©Evergreen Public Schools 2011 30 Team Practice

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©Evergreen Public Schools 2011 31 Debrief Quick Write… Describe your way of deciding if a graph, table or situation is a function.

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©Evergreen Public Schools 2011 32 5 3 1 2 4 Learning Target Did you hit the target? F-IFa I can understand the concept of a function and use function notation. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

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©Evergreen Public Schools 2010 33 Practice

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©Evergreen Public Schools 2011 34 Ticket Out InputOutput -35 1-10 712 96 -45 Is the table a function? Defend your answer.

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