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A1-F-3-2

Page history last edited by Brenda Butz 6 years, 2 months ago

A1.F.3.2 Use function notation; evaluate a function, including nonlinear, at a given point in its domain algebraically and graphically. Interpret the results in terms of real-world and mathematical problems.

In a Nutshell

Students will use knowledge of operations with whole numbers from pre-algebra to evaluate functions given the domain (x) value. They will also apply their knowledge of graphs to find the range value for a given domain value. Using these tools, they will interpret and explain their results in the context of the problem both mathematically and in real-world situations.

Student Actions	Teacher Actions
Students will develop accurate and appropriate procedural fluency as they evaluate a function for a given value algebraically. Students develop mathematical reasoning as they apply previous knowledge of operations with whole numbers and the order of operations from pre-algebra to evaluating functions algebraically; as they read a graph accurately to find the range value for a given domain; and as they interpret the results in terms of the context of the problem. Students develop the ability to communicate mathematically as they justify their processes and results to teachers and peers, including accurate contextual interpretations.	Focus on helping students show evidence of their thinking as they justify operations used to evaluate functions rather than having students memorize a series of steps Create examples and pose purposeful questions that highlight the meaning of range values at given domain values in both mathematical and real-world contexts. Encourage meaningful and accurate mathematical discourse as students explain the meaning of their results in context
Key Understandings	Misconceptions
Evaluate a function algebraically and explain the meaning of the result. Example: Evaluate f(x)=3x-6 for f(2) f(2)=3(2)-6 f(2)=0 Therefore when range domain value is 2, the range value is 0 or when x=2, y=0. Find the range for a given domain from a graph. Find: f(4) f(4)=-4 Evaluate a function for a real-world situation and explain the meaning of the results. ex. The cost of a pizza is $5 plus $1 for each additional topping. It can be represented by the function C=5+1t. What is the cost of a pizza with sausage, mushrooms and onions? C=5+1t C=5+1(3) C=8 The cost of a pizza with three toppings is $8.	Students may misunderstand function notation, misusing f(x) as a multiplication step. Example: When reading a graph, students may read the x and y axes incorrectly, often switching them. Students do not find the y-value associated with the given x-value on a graph. They read the graph incorrectly and find an incorrect y-value.