pbi rubric
TRANSCRIPT
Criteria
Concept & Category Highest Level of Performance
Middle Level of Performance
Lowest Level of Performance
MANIPULATION - Prove that two functions are inverses by the process of working backwards (finding the inverse of a function and showing that it is the other function given)
- Determine that two functions are inverses by analyzing their respective graphs.
- Manipulating the function to find the inverse (switching x and y)
- Evaluating Functions at a given value
-Student demonstrates he knows the process of working backwards but makes an algebraic error in calculating it.
-Student knows to look at the points of each graph, but does not know how to compare the points.
-Student can switch x and y but makes arithmetic or algebraic error in finding the inverse.
Student demonstrates they know how to evaluate a function at a value but makes arithmetic or algebraic error.
-Student cannot demonstrate working backwards
-Student does not show ability to compare functions and their graphs.
-Student does not show the ability to switch x and y variables to find the inverse.
-Student does not show how to evaluate a function at a given value
UNDERSTANDING FUNCTIONS
Explain the relationship between the independent and dependent variables of a function.
-Recognize that a function and its inverse are not equivalent.
-Student knows the two terms, but mixes up what they are, interchanges the axes they are on in a graph, etc.
-Student demonstrates that the functions are not equivalent but uses the same notation for each ( f(x) for the function and its inverse),
-Student has no knowledge of what either type of variable is
-Student does not show that a function and its inverse are not equivalent.
GRAPHING -Using the horizontal and vertical line test to determine if a function and its inverse are in fact functions.
- Graphing functions and their inverse.
-Student knows to use a test but uses the incorrect one.
-Student has overall shape of graph but specifics are inaccurate (points, intercepts, etc.)
-Student does not show evidence that he can use either test for a function.
-Student shows no graphing ability.
FINAL PRESENTATION
-Group provides a clear and appealing Power Point or Poster Board showing their findings.
-All group members speak equally about their project and what they found
-Group has Power Point, but it is not coherent, unclear, and/or hard to see their findings.
-One or two members say nothing during the presentation.
-Group has no visual aide for presentation.
-Only one member of the group speaks about their findings.