Alphabet Coordinate Quest Worksheet
Coordinate Geometry Lab
ALPHABET COORDINATE QUEST
Name:
Date:
Period:
Score:
Mission Protocol: Plot each letter \(A\) through \(Z\) on the coordinate grid below and clearly label the point with its letter. Check the box [✓] in the directory once plotted, then complete Stage 1!
Point Directory
26 Points
A
(-6, 5)
B
(3, 7)
C
(-4, -2)
D
(0, 6)
E
(5, -3)
F
(-7, 0)
G
(2, 4)
H
(-3, 6)
I
(7, -1)
J
(-5, -5)
K
(4, 2)
L
(-2, -6)
M
(6, 5)
N
(1, -7)
O
(-1, 3)
P
(5, 8)
Q
(-8, -4)
R
(3, -5)
S
(-6, 1)
T
(0, -4)
U
(4, -6)
V
(-4, 4)
W
(7, 6)
X
(-2, 2)
Y
(6, -2)
Z
(-1, -1)
QUADRANT GUIDE (x, y)
Quad II (-, +)
Quad I (+, +)
Quad III (-, -)
Quad IV (+, -)
Origin: (0, 0) • x-axis: \(y=0\) • y-axis: \(x=0\)
Coordinate Plane (-8 to +8)
Interval: 1 unit
QUADRANT I (+, +) QUADRANT II (-, +) QUADRANT III (-, -) QUADRANT IV (+, -) x y -8 -6 -4 -2 2 4 6 8 8 6 4 2 -2 -4 -6 -8 0
Stage 1: Quick Cipher Decoder & Axis Check
Use your plotted points to reveal these two secret math words:
Word 1:
(2, 4)
(3, -5)
(-6, 5)
(5, 8)
(-3, 6)
Word 2:
(6, 5)
(-6, 5)
(0, -4)
(-3, 6)
1. Two letters lie on the y-axis (\(x=0\)):
&
2. One letter lies on the x-axis (\(y=0\)):
3. Letter closest to the origin \((0,0)\):
at
Page 1 of 2 • Flip over for Stage 2 Missions →
Stage 2 Extension Lab
COORDINATE CIPHER & GEOMETRY LAB
Student:
Class:
Mission 1: The Golden Rule of Graphing
Master Decryption
Find the letter assigned to each coordinate pair from Page 1 to uncover the #1 rule of graphing:
(-6, 5)
(-2, -6)
(7, 6)
(-6, 5)
(6, -2)
(-6, 1)
•
(5, 8)
(-2, -6)
(-1, 3)
(0, -4)
•
(-2, 2)
•
(3, 7)
(5, -3)
(-7, 0)
(-1, 3)
(3, -5)
(5, -3)
•
(6, -2)
Mission 2: Quadrant Sorting Vault
Classify each of the 26 plotted letters by recording them in their correct quadrant or axis location:
Quadrant I (+, +) • 6 Letters
Quadrant II (-, +) • 6 Letters
Quadrant III (-, -) • 5 Letters
Quadrant IV (+, -) • 6 Letters
On an Axis x=0 or y=0 • 3 Letters
Mission 3: Coordinate Geometry & Distance
1. Horizontal Segment \(\overline{AM}\) A(-6, 5) & M(6, 5)
Both have \(y=5\). What is the horizontal distance?
Distance:
units
2. Vertical Segment \(\overline{DT}\) D(0, 6) & T(0, -4)
Both lie on the y-axis (\(x=0\)). What is the vertical distance?
Distance:
units
3. Midpoint Discovery
Midpoint halfway between \(A(-6, 5)\) and \(M(6, 5)\):
Midpoint: (
,
)
4. Polygon Sleuth
If you connect \(V(-4, 4)\), \(S(-6, 1)\), and \(X(-2, 2)\):
Shape:
Mission 4: Reflection & Symmetry Challenge
1. Reflect \(K(4, 2)\) across x-axis:
(
,
)
2. Reflect \(O(-1, 3)\) across y-axis:
(
,
)
3. Reflect \(Z(-1, -1)\) through origin:
(
,
)
Rule: In reflection across x-axis, the -value changes; across y-axis, the -value changes.
Mission 5: Encrypt Your Own Secret Word
Partner Challenge
Coordinate Clues: 1:(____,____) 2:(____,____) 3:(____,____) 4:(____,____)
Decoded Word:
Alphabet Coordinate Quest • Mathematics Instructional Resource Page 2 of 2
