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”.
Rosann Hollinger Kevin McLeod
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.
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.
The circumference of a circle is a
function of its area.
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
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.
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 when standard, would your description change? we can:decide whether a function can be used to model a given real-life context;describe an appropriate function when given a context.
Discuss the interplay of the content standard and the Standard for Math Practice in the context of the Chicken and Steak Problem.
How will your experiences in examining
“function” through a launch, explore,
summarize impact your future
discussions with classroom teachers?