©evergreen public schools 2011 1 what is a function teacher notes notes: today students will create...
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©Evergreen Public Schools 2011
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What is a FunctionTeacher 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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Practice 6: Attend to precision.[Students] try to use clear definitions in discussion with others and in their own
reasoning.
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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.1
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LaunchLaunchLaunchLaunchWhat 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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Today we will learn the definition of a function in
algebra.
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.
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What do you notice?What do you think a function
is?
What do you notice?What do you think a function
is?
This table is a function.
Input Output1 32 53 74 95 11
This table is a not function.
Input Output
1 102 33 74 51 12
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What do you notice?What do you think a function
is?
What do you notice?What do you think a function
is?This table is a function.
Input Output4 79 21 105 13
10 7
This table is a not function.
Input Output
9 104 38 72 54 15
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What do you notice?What do you think a function
is?
What do you notice?What do you think a function
is?This table is a function.
Input Output7 55 5
14 5-4 5-9 5
This table is a not function.
Input Output5 75 55 145 -45 -9
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What do you think a function is?
What do you think a function is?
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Is this table of the L(x) pattern a function?
Defend your answer.
Is this table of the L(x) pattern a function?
Defend your answer.
Input Output1 32 53 74 95 11
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Is this table a function? Defend your answer.
Is this table a function? Defend your answer.
Input Output7 -12 4-3 -79 11-3 -5
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What do you notice?What do you think a function
is?
What do you notice?What do you think a function
is?This graph is a function. This graph is a not function.
©Evergreen Public Schools 2011
14Advance to see the last slide repeated.
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What do you notice?What do you think a function
is?
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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What do you notice?What do you think a function is?
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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What do you think a function is?
What do you think a function is?
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Is this graph a function? Defend your answer.
Is this graph a function? Defend your answer.
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Is this graph a function? Defend your answer.
Is this graph a function? Defend your answer.
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Here is a way to test if a graph is a function.
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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Here is a way to test if a graph is a function.
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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Why does the Vertical Line Test work?
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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What do you think a function is?
What do you think a function is?
It’s the same for a table and a graph.
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Is this graph of the k(x) pattern a
function?
Is this graph of the k(x) pattern a
function?
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Is this graph a function? Defend your answer.
Is this graph a function? Defend your answer.
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Is this graph a function? Defend your answer.
Is this graph a function? Defend your answer.
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Is this situation a function? Defend your answer.
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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Is this situation a function? Defend your answer.
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.
Placemat Placemat
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What is a function?
Name 1
Name 2
Name 3
Name 4
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Team PracticeTeam Practice
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DebriefDebrief
Quick Write…
Describe your way of deciding if a graph, table or situation is a function.
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5
3
12
4
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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PracticePractice
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Ticket Out
Input Output
-3 51 -107 129 6-4 5
Is the table a function?
Defend your answer.