Quotes of the Day:
"Any teacher that can be replaced by a computer
      should be replaced by a computer."

Objectives:
1. The student will demonstrate all the concepts of 
   analytic geometry that we have discussed.

2. The student will apply skills in relating equations to 
   their graphs.
3. The student will construct equations to fit specified 
   criteria. 
4. The student will discover and explore relationships 
   between equations and their graphs.
5. The student will create strategies to maximize the 
   number of hits per equation.
6. The student will transform basic graphs by modifying 
   their equations.
7. The student will work cooperatively in a group.
8. The student will strengthen skills in problem solving: 
   guess and check, simplify; and divide and conquer.
9. The student will apply graphically a wide range of 
   algebraic concepts and techniques


Lesson:

1. Hand out test on Analytic Geometry (Optional test).

2. Outline of Test:
  
   I. Definitions (1 – 4)
      Write out locus definitions for the conics.
      Write out the general formulas for the conics.
      In developing the equation for a particular conic,
        write down the initial equation to set it up.

  II. Matching (5 – 8)
      Match equations with the name of the conic (or line).

 III. Sketch Graphics (9 – 12)
      Given equations of graphics, sketch the graphs.

  IV. Miscellaneous (13 – 16)
      Determine the equation of a conic given certain 
        information.
      Given the equation of a particular conic, determine
        various information.

       
3. For those not taking the test, go to the computer lab 
   and play green globs (explain the rules).


4. Explanation of Green Globs:

   Thirteen randomly scattered green globs are displayed on    
   a coordinate grid. The students' goal is to explode all 
   the globs by hitting them with the graphs of equations 
   entered at the keyboard. The scoring algorithm encourages 
   students to hit as many globs as possible with each equation. 
   The top ten Novice Game scores and the top ten Expert Game 
   scores are recorded along with the games that produced them. 
   Students can review these games to learn strategies to apply 
   to future games.

  We will play the Novice Game.  The Novice Game uses a 
  coordinate grid with –10 < x < 10 and –8 < y < 8.   
  Thirteen green globs are scattered randomly on the grid, 
  in a different arrangement for each game.  You enter an 
  equation, the graph of your equation is drawn, and any 
  green globs which the graph hits will explode and 
  disappear: Strategies and graphing techniques will apply 
  from one game to another; but specific equations will 
  not, because the arrangement of green globs is different 
  for each game. 

  When you finish a game (by hitting all the green globs), 
  the program compares your game score to those in the GREEN 
  GLOBS Novice Game section of your Records file.  If your 
  score is higher than the lowest score currently in the Novice 
  Game section, or the Novice Game section has fewer than ten 
  scores saved in it, you will be offered the opportunity to 
  add your game to the Records.  A game added to the Records 
  will be erased when it is no longer in the Top Ten Scores 
  for that game.


5. Distribute a copy of Worksheet #1 and Worksheet #2.
   Explain the scoring.

        Worksheet #1

        Worksheet #2

6. Students will fill out Worksheet #2 to record their 
   equations.

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