Code Cracker Slides Mission: Algebra
CODE CRACKER
Decode complex expressions to unlock the system.
SYSTEM STATUS: READY
Mission Objective
Your Goal
Match pairs of expressions that are equivalent.
"Equivalent means they have the same value, no matter what number the variable represents."
The Tools
Combining Like Terms
Distributive Property
Mathematical Grit!
System Scan: Like Terms
Like terms have the exact same variable and exponent.
Compatible
3x + 5x
= 8x
Error
3x + 5y
Cannot Combine!
Decoding: Distributive Property
Process Example
3 ( 2x + 4 )
Step 1
3 × 2x
Step 2
3 × 4
6x + 12
MISSION PROTOCOL
GROUPS OF 2-3
1
DEPLOY
Spread all CODE CARDS face down on your table.
2
DECODE
Players take turns flipping TWO cards. If they are equivalent, keep the pair!
3
LOG
When you find a pair, show your work on the Circuit Log to prove they match.
CAUTION: Simplify carefully before claiming a match!
SYSTEMS ONLINE
Total Pairs to Find: 12
WIN CONDITION
"The player with the most verified matches wins the round."
Code Cracker Cards Space Saver Code Cracker Cards
Deployment Set: Algebraic Expressions (Full Deck)
Set A: Complete
12 Pairs / 24 Cards
CC-01-A
3x + 4x
CC-01-B
7x
CC-02-A
2(x + 5)
CC-02-B
2x + 10
CC-03-A
5y + 3 - 2y
CC-03-B
3y + 3
CC-04-A
4(3n + 1)
CC-04-B
12n + 4
CC-05-A
x + x + x + x
CC-05-B
4x
CC-06-A
10a - 4a + 2
CC-06-B
6a + 2
CC-07-A
3(2b - 4)
CC-07-B
6b - 12
CC-08-A
5 + 2k + 3
CC-08-B
2k + 8
CC-09-A
0.5(4x + 6)
CC-09-B
2x + 3
CC-10-A
w + 2w + 5
CC-10-B
3w + 5
CC-11-A
2(n + 3) + n
CC-11-B
3n + 6
CC-12-A
8m - 3m - m
CC-12-B
4m
Cut along dashed lines to deploy cards
Caution: Do not flip until authorized
Code Cracker Log Sheet CIRCUIT LOG SHEET
Mission: Code Cracker Simplification
Name:
Date:
Protocol: When you find a pair of equivalent cards, record their reference IDs (e.g., CC-01-A and CC-01-B) and show the step-by-step math proof that explains why they are equal.
# Card IDs Proof of Equivalence (Show Your Work) 01 IDs:
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IDs:
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| 03 |
IDs:
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IDs:
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IDs:
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| 06 |
IDs:
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Circuit Log (Continued)
Page 2 of 2
# Card IDs Proof of Equivalence (Show Your Work) 07 IDs:
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| 08 |
IDs:
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| 09 |
IDs:
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| 10 |
IDs:
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| 11 |
IDs:
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| 12 |
IDs:
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Post-Mission Debrief
Which expression was the hardest to "decode" and why? What was your strategy for checking if two expressions were equal?
Code Cracker Teacher Guide MASTER DECODE GUIDE
Teacher Resource: Game Setup & Answer Key
PRE-GAME DEPLOYMENT
Print cards on cardstock for durability and cut along dashed lines.
Organize students into groups of 2 or 3.
Provide one **Circuit Log Sheet** per student.
Students will need scratch paper for complex simplifications.
GAMEPLAY PROTOCOL
Memory/Concentration Style
Lay all 24 cards face down in a 4x6 grid.
Player 1 flips 2 cards. If they are equivalent, they keep them.
Crucial: Both players must agree they are equivalent. Show work on Log Sheet!
If not equivalent, flip back over. Next player's turn.
DECRYPTION KEY (ANSWERS)
CC-01 3x + 4x = 7x
CC-07 3(2b - 4) = 6b - 12
CC-02 2(x + 5) = 2x + 10
CC-08 5 + 2k + 3 = 2k + 8
CC-03 5y + 3 - 2y = 3y + 3
CC-09 0.5(4x + 6) = 2x + 3
CC-04 4(3n + 1) = 12n + 4
CC-10 w + 2w + 5 = 3w + 5
CC-05 x + x + x + x = 4x
CC-11 2(n + 3) + n = 3n + 6
CC-06 10a - 4a + 2 = 6a + 2
CC-12 8m - 3m - m = 4m
CHALLENGE (SCALED UP)
"Ask advanced groups to write a third equivalent expression for each pair they find, using both distribution AND combining like terms."
SUPPORT (SCALED DOWN)
"Remove the multi-step cards (CC-11 and CC-09) to simplify the deck. Provide 'Hint Chips' with the simplified answer for those who get stuck."
Code Cracker Cards Large Code Cracker Cards
Large Format Deployment: Algebraic Expressions
Cards 01-04
Page 1 of 3
Ref: CC-01-A
3x + 4x
Ref: CC-01-B
7x
Ref: CC-02-A
2(x + 5)
Ref: CC-02-B
2x + 10
Ref: CC-03-A
5y + 3 - 2y
Ref: CC-03-B
3y + 3
Ref: CC-04-A
4(3n + 1)
Ref: CC-04-B
12n + 4
Code Cracker Cards
Large Format Deployment: Algebraic Expressions
Cards 05-08
Page 2 of 3
Ref: CC-05-A
x + x + x + x
Ref: CC-05-B
4x
Ref: CC-06-A
10a - 4a + 2
Ref: CC-06-B
6a + 2
Ref: CC-07-A
3(2b - 4)
Ref: CC-07-B
6b - 12
Ref: CC-08-A
5 + 2k + 3
Ref: CC-08-B
2k + 8
Code Cracker Cards
Large Format Deployment: Algebraic Expressions
Cards 09-12
Page 3 of 3
Ref: CC-09-A
0.5(4x + 6)
Ref: CC-09-B
2x + 3
Ref: CC-10-A
w + 2w + 5
Ref: CC-10-B
3w + 5
Ref: CC-11-A
2(n + 3) + n
Ref: CC-11-B
3n + 6
Ref: CC-12-A
8m - 3m - m
Ref: CC-12-B
4m
