Functions Abound

by Shelly Rogers

Introduction

Concept Map

Project Calendar

Lesson Plans

Letter to Parents

Assessments

Resources

Modifications

Grant


Unit/Project Rubric and Assessments:

How the students will be evaluated

 

 

Points

Accepted

(on time and meets standards)

Needs Revision (on-time but needs some revision)

(-15%)

Needs conference/ Late

(-30%)

Background Knowledge Probe and

   Course-Related Self-Confidence Survey

         (completion grade)

3

 

 

 

Chain Notes Participation

         (completion grade)

         must participate 3 or more times

3

 

 

 

Intro to Software Activity

7

 

 

 

Guest Speaker and/or Video Reflection

7

 

 

 

Unit Test: What, How, Why?

 

15

 

 

 

Annotated Portfolio

         Images are to be created as a group, but students are

         to submit individually written explanations and

         diagnostic learning log entries.

 

         Images, explanations, and logs should be compiled

         in a folder.

 

         Each student must submit an individual portfolio.

50

 

 

 

Recreated Images

         Images for each type of function

         Images from the Hunt for Functions Activity

        “Choice” images of Group

 

 

 

20/50

 

 

 

Explanation

         Mathematical & Direct Paraphrasing

         submissions per image

 

 

20/50

 

 

 

Diagnostic Learning Log

         (completion grade)

         One submission per image

 

 

10/50

 

 

 

Final Presentation

         (done as a group)

15

 

 

 

Total Points

100

 

Concerning the assignments done as a group: All group members participate equally. If member participation has not been fairly shared, grades will be weighted appropriately.

 

 

MORE EXPLANATION FOR SOME OF THE ASSESSMENTS:

 

Background Knowledge Probe and Course-Related Self-Confidence Survey

At beginning of unit to gain insight into the students prior understandings

EX:  Draw the basic shape of a parabola.

      What type of function is shown in the figure on the right?

      What happens to a linear function, f(x), if you add a constant of 3?

COMPLETION GRADE

 

Chain Notes Participation (participate 3 times- These need to be on different days.)

Spontaneous reflections during class (The student will ask the following questions of himself: what is the class doing, what am I doing, what am I learning, what is my group working on, what do I like/dislike pertaining what the class is currently working on, what do I understand/not understood pertaining what the class is currently working on?)

COMPLETION GRADE

 

UNIT TEST: Content, Form, and Function Outline

At conclusion of unit

Students would be given a table with three columns: What, How, and Why
The “What” would stand for “What is the change made to the function's numerical equation.” The “How” would stand for “How do we see this change in the graphical representation?” and the “Why” would stand for “Why does the numerical change cause the visible change in the graphical representation?”
For example, I'd give them the following:
   What: y = f(x) --> y = f(x) + 2
For the “How,” I'd hope the students would say that the graph shifts up by two units.
For the “Why,” I'd want them to explain that all of the values of f(x) + 2 are simply the values of f(x) moved up by 2 units, thus causing the entire function to be shifted up by 2 units. For the rest of the assessment, I would supply either the “What” or the “How” and have the students supply the answers to the remaining two questions.

SUMMATIVE GRADE

 

Annotated Portfolio

Throughout unit

Images for each recreation assignment

Explanation of how the images were made

Mathematical Explanation- the technical explanation

Directed Paraphrasing-less technical, more aimed at explaining math using common English

Diagnostic Learning Log-student’s reflection on what he learned, what was unclear, areas he understand well, etc.

SUMMATIVE GRADE