What did you have to find out?
We were asked to find out what the total value of the alphabet was and if upper case and lower case values were different. The key given was:
Curved Lines: 3 points
Straight Lines: 7 points
Lines of Symmetry: 21 points
What materials did you use?
We used pencils, paper, Microsoft Word and our knowledge of mathematics.
How did you think? What strategies did you use? How did you solve this problem?
We allocated each person in the group some letters of the alphabet, both upper and lower case. We then went through our letters and added the points together. After finding our own totals, we added them together and came up with the grand total for upper and lower cases.
What answers did you come up with?
The following answers are for UPPER CASE LETTERS:
A: 3 straight lines and one line of symmetry = 7+7+7+21=42
B: 1 straight line, 2 curved lines and 1 line of symmetry = 7+3+3+21=34
C: 1 curved line and 1 line of symmetry = 3+21=24
D: 1 straight line, 1 curved line and 1 line of symmetry = 7+3+21=31
E: 4 straight lines and 1 line of symmetry = 7+7+7+7+21=49
F: 3 straight lines = 7+7+7=21
G: 1 straight line and 1 curved line = 7+3=10
H: 3 straight lines and 2 lines of symmetry = 7+7+7+21+21=63
I: 3 straight lines and 2 lines of symmetry = 7+7+7+21+21=63
J: 2 straight lines and 1 curved line = 7+7+3=17
K: 3 straight lines = 7+7+7=21
L: 2 straight lines = 7+7=14
M: 4 straight lines and 1 line of symmetry = 7+7+7+7+21=49
N: 3 straight lines = 7+7+7=21
O: 2 curved lines and an infinite number of lines of symmetry = 3+3+∞=6/∞
P: 1 straight line and 1 curved line = 7+3=10
Q: 1 straight line and 2 curved lines = 7+3+3=13
R: 2 straight lines and 1 curved line = 7+7+3=17
S: 2 curved lines = 3+3=6
T: 2 straight lines and 1 line of symmetry = 7+7+21=35
U: 1 curved line and 1 line of symmetry = 3+21=24
V: 2 straight lines and 1 line of symmetry = 7+7+21=35
W: 4 straight lines and 1 line of symmetry = 7+7+7+7+21=49
X: 2 straight lines and 4 lines of symmetry = 7+7+21+21+21+21=98
Y: 3 straight lines and 1 line of symmetry = 7+7+7+21=42
Z: 3 straight lines = 7+7+7=21
The total for upper case letters is: 42+34+24+31+49+21+10+63+63+17+42+14+49+21+6/∞+10+13+17+6+35+24+35+49+98+42+21=860/∞ points.
The following answers are for lower case letters:
a: 1 straight line and 1 curved line = 7+3=10
b: 1 straight line and 1 curved line = 7+3=10
c: 1 curved line and 1 line of symmetry = 3+21=24
d: 1 straight line and 1 curved line = 7+3=10
e: 2 curved lines = 3+3=6
f: 2 straight lines and 1 curved line = 7+7+3=17
g: 1 straight line and 2 curved lines = 7+3+3=14
h: 1 straight line and 1 curved line = 7+3=10
i: 1 straight line and 1 line of symmetry = 7+21=28
j: 1 straight line and 1 curved line = 7+3=10
k: 2 straight lines and 1 curved line = 7+7+3=17
l: 1 straight line and 2 lines of symmetry = 7+21+21=49
m: 1 straight line and 2 curved lines = 7+3+3=14
n: 2 straight lines and 1 curved line = 7+7+3=17
o: 2 curved lines and infinite number of lines of symmetry = 3+3+∞=6/∞
p: 1 straight line and 1 curved line = 7+3=10
q: 1 straight line and 1 curved line = 7+3=10
r: 1 straight line and 1 curved line = 7+3=10
s: 2 curved lines = 3+3=6
t: 2 straight lines and 1 line of symmetry = 7+7+21=35
u: 1 straight line and 1 curved line = 7+3=10
v: 2 straight lines and 1 line of symmetry = 7+7+21=35
w: 4 straight lines and 1 line of symmetry = 7+7+7+7+21=49
x: 2 straight lines and 4 lines of symmetry = 7+7+21+21+21+21=98
y: 1 straight line and 2 curved lines = 7+3+3=14
z: 3 straight lines = 7+7+7=21
The total for lower case letters is: 10+10+24+10+6+17+14+10+28+10+17+49+14+17+6/∞+10+10+10+6+35+10+35+49+98+14+21=540/∞
To remind you, the total for upper case letters is: 860/∞
And the lower case total is 540/∞
The difference is 320/∞
The grand total of upper and lower case letter values is 1400!
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