Chapter 1 Project

“Connect Four”

The object of the project: To connect four of the same one-digit number together using computational and grouping symbols to achieve as many different integer answers as you can. These answers must range from -99 to 99. You will use skills such as order of operations, grouping symbols, integer computation, and others properties and mathematical symbols of which you may be familiar.

Rules of the project:

  • You can only use the sameone-digit chosenin every problem.You must use it exactly 4 times!Example: If your choose 2, 2 is the only number that could appear in any of your problems.Choose your number wisely as some are much better than others!
  • You may not duplicate an answer. One problem created per answer.
  • You may use any of the four computational symbols (+, -, x, ÷) up to three times in a problem. Symbols may repeat in a problem.
  • Each digit must stand alone. (If you choose 2 as your digit, you cannot make it into 22, 222, -22, -222, 2.2, 22.22, etc.)
  • Grouping symbols such as parentheses, brackets, fraction bars, factorial (!), square roots √, exponents, etc. may be used more than once in any problem. More than onegrouping symbol can occur in a problem, also.

Presentation/Organization of the project:

  • You may work alone or with at most 2 other people. (Three to a group maximum.)
  • A creative cover page with a title, your name(s) date, and hour.
  • An organized list,on the template provided, stating your problem next to the answer on the template.

Grading of the project:

The problem you create must mathc the answer you created it for.That means make sure parentheses are included where needed!!!

Two points per correct problem!!!

Create 51-60 problems for an “A+” (up to 10 bonus problems allowed (one point per extra problem)).

Create 45-50 or more problems for an “A”Create 40-45 problems for a “B”

Create 35-40 problems for a “C”Create 30-34 problems for a “D”

Create 1-29 problems for an “F”Ignore the project = 0

All problems should be checked using a calculator. Be careful that the calculator is doing what you ask of it.

Good Examples:Choice of one-digit number: 2

0 = [2 - (2 - 2)] - 23 = 2 + 2 - 2 ÷ (-2)-4 = 2 - 2 - 2 x 2-1 = 2 ÷ (2 - 2 - 2)

[2 - 0] - 2 2 + 2 –(-1)2 - 2 - 42 ÷ (0 - 2)

2 - 2 4 –(-1) 0 - 42 ÷ -2

05 -4 -1

Other Legal uses: 22 ; ; ; 2!; -2, other?Illegal uses: 22; 222; .22; -22, 24 ,other?

You may not use the number 2 for your magic number!!! (Nor would you want to!!!)

Name(s) ______

Rubric for “Connect Four” Project

Correct problems for each answer (1 point per problem)# problems attempted______

# of problems correct ______

Your Points ______Total Points 50Grade _____ = _____%

If more than 50 problems are solved correctly with an appropriateproblem shown, you can achieve 5 extra points (one per extra problem) up to a maximum of 55.

This is your first grade in the project/test portion of your grade. This section of your grade counts 80% of your overall grade. It is critical to do a superb job to finish first quarter well.

Late work has 20% deduction taken and no bonus points will be allowed.

Tentative Due Date: Monday, September 9th. It may be later, but will not be earlier than this date.

Answer Template

Record your created problem, using your “magic” one-digit number, next to each answer. Answers 99-0 are on this side and -1 to -99 are on the other side.

Create 51-60 problems for an “A+” (up to 10 bonus problems allowed (one point per extra problem)).

Create 45-50 or more problems for an “A” Create 40-45 problems for a “B”

Create 35-40 problems for a “C”Create 30-34 problems for a “D”

Create 1-29 problems for an “F”0 problems = 0%

Your class number is _____.

99 = 98 = 97=

96 = 95 = 94=

93= 92= 91=

90 = 89= 88=

87= 86= 85=

84= 83= 82=

81= 80= 79=

78= 77= 76=

75= 74= 73=

72= 71= 70=

69= 68= 67=

66= 65= 64=

63= 62= 61=

60= 59= 58=

57= 56= 55=

54= 53= 52=

51= 50= 49=

48= 47= 46=

45= 44= 43=

42= 41= 40=

39= 38= 37=

36= 35= 34=

33= 32= 31=

30= 29= 28=

27= 26= 25=

24= 23= 22=

21= 20= 19=

18= 17= 16=

15= 14= 13=

12= 11= 10=

9= 8= 7=

6= 5= 4=

3= 2= 1=

0=

-99 =-98 =-97=

-96 =-95 =-94=

-93=-92=-91=

-90 =-89=-88=

-87=-86=-85=

-84=-83=-82=

-81=-80=-79=

-78=-77=-76=

-75=-74=-73=

-72=-71=-70=

-69=-68=-67=

-66=-65=-64=

-63=-62=-61=

-60=-59=-58=

-57=-56=-55=

-54=-53=-52=

-51=-50=-49=

-48=-47=-46=

-45=-44=-43=

-42=-41=-40=

-39=-38=-37=

-36=-35=-34=

-33=-32=-31=

-30=-29=-28=

-27=-26=-25=

-24=-23=-22=

-21=-20=-19=

-18=-17=-16=

-15=-14=-13=

-12=-11=-10=

-9=-8=-7=

-6=-5=-4=

-3=-2=-1=