Content Standards and Benchmarks:

I,1,4: Explore patterns (graphic, numeric, etc.) characteristic of families of functions; explore structural patterns within systems of objects, operations or relations.

III, 2, 2: Locate and describe objects in terms of their orientation and relative position, including displacement (vectors), phase shift, maxima, minima, and inflection points; give precise mathematical descriptions of symmetries.

Objective:

          After taking the quiz the day before and reviewing it as a class, students will see what information they did not know for the quiz and will know what they need to study more for the retake quiz on Monday.

          After having a class discussion regarding study habits, classroom participation, and homework, students will have a better understanding of what is expected of them for this class and will also be informed that they will now have homework quizzes.

Anticipatory Set:

          Alma College:

Biology 121: 75 studentsà50 (66%) studentsà 28 (37%)

Calculus 122: 50 studentsà32 (64%) students à 26 (52%)

          Michigan State University:

                    Physics 133: 1100 studentsà 600 (55%) studentsà 450 (41%)

                    Calculus 131:1600 studentsà 700 studnets (44%)à 400 (25%)

          Emphasize the importance of good study habits, preparing for the next

class period, going to class, and paying attention in class.

          Emphasize that I am trying to prepare students for college and life;

that I have their best interests at heart. I will always be here to help.

Review Quiz:

Ø     Explain what type of problem each problem was

1.     Chunking, algebra

2.     Review, algebra

3.     Chunking, algebra

4.     Graph Standardization Theorem

5.     Chunking, algebra

6.     Graph Standardization Theorem

Ø     Do each problem so students can see what their mistakes were.

Assignment: Study for retake quiz on Monday. Lesson 3-9 is due on Tuesday, be ready for the homework quiz.

Closure:

Ø     Remind students about quiz Monday.

Ø     Tell them objectives to be covered

¨                 Find ALL zeros of a function USING ALGEBRA

¨                 Use chunking to solve complicated looking problems

¨                 Convert x-y form of equationàparametric form (and vice

versa)

¨                 Apply Transformations to functions in x-y and x,y,t

Ø     Give them tips for success

¨                 Find ALL solutions, remember to handle oscillation of trig

Functions

¨                 Use calculators to assist you, not to find the answer

¨                 Know definitions, theorems, properties, and

          laws from the lessons