A FUNCTIONing Classroom April 17, 2012

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# A FUNCTIONing Classroom April 17, 2012 - PowerPoint PPT Presentation

A FUNCTIONing Classroom April 17, 2012. Dorothy Schuller Hank Kepner Rosann Hollinger Kevin McLeod Mary Mooney. We are learning to deepen our understanding of “function”.

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### A FUNCTIONing ClassroomApril 17, 2012

Dorothy Schuller

Hank Kepner

Rosann Hollinger Kevin McLeod

Mary Mooney

We will know we are successful whenwe can:decide whether a function can be used to model a given real-life context;describe an appropriate function when given a context.

Describe the word “function” in each of these phrases:
• The car’s efficiency is a function of the car’s design.
• Form follows function.
• I don’t function well after lunch.
• The circumference of a circle is a function of its area.
8.F.1

Define, evaluate, and compare functions.

1. Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

When describing this function after thinking about the standard, would your description change?

The circumference of a circle is a

function of its area.

Chicken and Steak

You have \$100 to spend on a barbeque where

you want so serve chicken and steak. Chicken

costs \$1.29 per pound and steak costs \$3.49

per pound.

In the “Chicken and Steak” scenario:
• Can a function be used to model this situation? Why or why not?
• Choose a function that you identified above, sketch a graph of your function and describe your function qualitatively, as accurately as you can..
• Identify/label quantitative features to your graph.

Use functions to model relationships between quantities.

5. Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g. where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Reason Abstractly and Quantitatively

Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize—to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents—and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved.

We will know we are successful whenwe can:decide whether a function can be used to model a given real-life context;describe an appropriate function when given a context.

Debrief

Discuss the interplay of the content standard and the Standard for Math Practice in the context of the Chicken and Steak Problem.

Making Connections

How will your experiences in examining

“function” through a launch, explore,