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 same one-digit chosen in 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 one grouping
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:
0 = [2 - (2 - 2)] - 2
[2 - 0] - 2
2-2
0
Choice of one-digit number: 2
3 = 2 + 2 - 2 ÷ (-2)
2 + 2 – (-1)
4 – (-1)
5
-4 = 2 - 2 - 2 x 2
2-2-4
0-4
-4
-1 = 2 ÷ (2 - 2 - 2)
2 ÷ (0 - 2)
2 ÷ -2
-1
2
Other Legal uses: 22 ; 2 ; 2 ; 2!; -2, other?
Illegal uses: 22; 222; .22; -22, 24 ,other?
2
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 ______
Grade _____ = _____%
Total Points 50
If more than 50 problems are solved correctly with an appropriate problem 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 =
96 =
93=
90 =
87=
84=
81=
78=
75=
72=
69=
66=
63=
60=
57=
54=
51=
48=
45=
42=
39=
36=
33=
30=
27=
24=
21=
18=
15=
12=
9=
6=
3=
0=
98 =
95 =
92=
89=
86=
83=
80=
77=
74=
71=
68=
65=
62=
59=
56=
53=
50=
47=
44=
41=
38=
35=
32=
29=
26=
23=
20=
17=
14=
11=
8=
5=
2=
97=
94=
91=
88=
85=
82=
79=
76=
73=
70=
67=
64=
61=
58=
55=
52=
49=
46=
43=
40=
37=
34=
31=
28=
25=
22=
19=
16=
13=
10=
7=
4=
1=
-99 =
-96 =
-93=
-90 =
-87=
-84=
-81=
-78=
-75=
-72=
-69=
-66=
-63=
-60=
-57=
-54=
-51=
-48=
-45=
-42=
-39=
-36=
-33=
-30=
-27=
-24=
-21=
-18=
-15=
-12=
-9=
-6=
-3=
-98 =
-95 =
-92=
-89=
-86=
-83=
-80=
-77=
-74=
-71=
-68=
-65=
-62=
-59=
-56=
-53=
-50=
-47=
-44=
-41=
-38=
-35=
-32=
-29=
-26=
-23=
-20=
-17=
-14=
-11=
-8=
-5=
-2=
-97=
-94=
-91=
-88=
-85=
-82=
-79=
-76=
-73=
-70=
-67=
-64=
-61=
-58=
-55=
-52=
-49=
-46=
-43=
-40=
-37=
-34=
-31=
-28=
-25=
-22=
-19=
-16=
-13=
-10=
-7=
-4=
-1=