Coordinate Plane Mastery
Point A is at (−2, 3). Reflect it across the y-axis.
(2, 3)
8 + 3 × (5 − 2)
17
Using A=1, B=2… decode: 20-5-14
TEN
You get x = 6 from one puzzle and y = −3 from another. What is the final coordinate?
(6, −3)
If your opponent calls (−2, 4) and you have no ship there, what is it?
Miss
Start at (1, −1). Move 4 left, 3 up, then 2 right.
(−1, 2)
(12 ÷ 3)² + 4 × 2
16 + 8 = 24
Shift cipher +2: Decode “JGNNQ”
HELLO
A clue says: “Double the result, then subtract 4.” If your original answer is 5, what’s the new value?
6
Your ship occupies (1,2), (2,2), (3,2). What orientation is it?
Horizontal
A point is in Quadrant III and is 2 units from the x-axis and 5 units from the y-axis.
(−5, −2)
18 − 2 × (3² + 1)
18 − 2 × 10 = −2
A=1 cipher: Decode 3-15-4-5
CODE
You solved two clues incorrectly. Why might your final location be wrong even if your last step is correct?
→ Answer: Earlier errors carry forward
If grids go from −4 to 4, how many possible x-values exist?
9
Plot A(2,1), B(2,5), C(−1,5), D(−1,1). What shape is formed?
Rectangle
(6 + 2) × (9 − 5² ÷ 5)
(8)(9 − 25 ÷ 5) = (8)(9 − 5) = 32
If A=1, B=3, C=5 (pattern continues), what does 7-9-11 spell?
D E F
You have 3 clues: one gives x, one gives y, one gives movement instructions. What must you do last?
→ Answer: Apply movement instructions to (x, y)
A player guesses randomly. Why is using patterns better?
Increases probability of hits
Find the midpoint between (−4, 6) and (2, −2).
(−1, 2)
5 + {6 × [2 + (3² − 1)]} ÷ 4
5 + (6 × (2 + 8)) ÷ 4 = 5 + (6 × 10) ÷ 4 = 5 + 60 ÷ 4 = 20
Encode “MATH” using A=1, then multiply each value by 2
M(13)=26, A(1)=2, T(20)=40, H(8)=16 → 26-2-40-16
A puzzle gives (2,3), then says: reflect across x-axis, then move right 4. Final answer?
→ Answer: (6, −3)
If you hit at (2,1), what is the BEST next strategy?
Check adjacent coordinates (up, down, left, right)