Prime Patrol Slides Math Detective Academy
Target Grade 4–6 Math
CLASSIFIED INVESTIGATION
PRIME PATROL
Crack the secret code of whole numbers: discover the unbreakable primes and unmask the composite impostors!
Factor Arrays
The 1 & 2 Exceptions
Board Game Mission
Lesson Core
Prime vs. Composite
Step 1 of 4
PRIME NUMBER 2 Factors
A whole number greater than 1 with exactly two distinct factors: 1 and itself.
Model: Number 7 (7 Tiles)
1
2
3
4
5
6
7
Only 1 arrangement possible: 1 × 7
COMPOSITE NUMBER 3+ Factors
A whole number greater than 1 that has more than two factors. It can be split into equal groups!
Model: Number 6 (6 Tiles)
1
2
3
4
5
6
Multiple arrangements: 1 × 6 and 2 × 3
Quick Test: Can you arrange the tiles into a rectangle with width > 1? If yes, it's composite!
Watch Out!
The VIP Special Numbers
Step 2 of 4
1
The Lone Rebel
NEITHER Prime NOR Composite
Has only one factor (1 × 1 = 1).
By definition, a prime requires EXACTLY TWO different factors!
Remember: 1 is the building block of all whole numbers!
2
The Only Even Prime
The Smallest Prime Number
Factors are strictly 1 and 2 .
Every other even number (4, 6, 8, 10...) is composite because 2 divides into it!
Golden Rule: No even number greater than 2 is ever prime!
First 8 Primes to Memorize: 2, 3, 5, 7, 11, 13, 17, 19
Patrol Toolkit
Divisibility Clues: Unmask Impostors!
Step 3 of 4
÷2
The Even Check
If the last digit is 0, 2, 4, 6, or 8 , it's divisible by 2.
38 ends in 8 → Composite!
÷5
The Nickel Check
If the last digit is 0 or 5 , it's divisible by 5 (except 5 itself!).
65 ends in 5 → Composite!
÷3
The Sum Trick
Add the digits. If the sum is a multiple of 3 , 3 divides it!
51 → 5 + 1 = 6 (÷3) → Composite!
Warning: The Prime Impostor 91! 91 looks prime, but 7 × 13 = 91! Always check multiples of 7!
Mission Launch
How to Play: Prime Kingdom Game
Ready to Play
1
Roll & Advance
Roll the die and move your patrol token along the winding path across the Prime Kingdom.
2
Identify & Solve
Land on a number? Declare Prime or Composite . Land on a Challenge tile? Draw a card!
3
Prime Surge!
Land on a Prime Portal to zoom ahead +2 spaces. Beware Composite Quicksand: factor it or lose a turn! First to Space 35 wins!
Gather in pairs or groups of 3–4. Grab your Game Board, Card Deck, and Marker tokens!
ROLL TO START
Prime Kingdom Board Game Prime Kingdom Board Game
Race through the 36 realms of whole numbers • 2–4 Players
Player 1: ___________
Player 2: ___________
P
Prime Space Say both factors (1 & N)
C
Composite Name at least 1 factor pair
?
Challenge Tile Draw a Challenge Card
★
Prime Surge Jump forward +2 spaces!
START 1
The Gate: Neither Prime nor Composite!
SURGE +2 2
Only Even Prime! Zoom ahead!
Prime 3
Factors: 1, 3
Composite 4
2 × 2 = 4
CARD 5
Draw Challenge Card!
Composite 6
2 × 3 = 6
CARD 12
Draw Challenge Card!
ROLL AGAIN 11
Twin Prime Power! Roll again!
Composite 10
2 × 5 = 10
ODD TRAP 9
Not prime! 3 × 3 = 9
Composite 8
2 × 4 = 8
Prime 7
Lucky 7: Only 1 & 7
SHIELD 13
Baker's Prime! Safe harbor
Composite 14
2 × 7 = 14
TRAP 15
Ends in 5! 3 × 5
Composite 16
4 × 4 = 16
ADVANCE 1 17
Prime Portal! Move +1
CARD 18
Draw Challenge Card!
Composite 24
4 × 6 = 24
PRIME SURGE 23
Speed Boost! Move +2
Composite 22
2 × 11 = 22
TRICK TILE 21
Looks prime, but 3 × 7!
CARD 20
Draw Challenge Card!
Prime 19
Only 1 × 19
Composite 25
5 × 5 = 25
CARD 26
Draw Challenge Card!
CUBE TRAP 27
3 × 9 = 27 (Composite)
Composite 28
4 × 7 = 28
SURGE +1 29
True Prime! Advance 1
Composite 30
3 × 10 = 30
WIN! 36
PRIME CITADEL Name prime > 31 to claim crown!
LAST PIT 35
Ends in 5! 5 × 7
CARD 34
Final Challenge Card!
Composite 33
3 × 11 = 33
Composite 32
4 × 8 = 32
Prime Challenge Game Cards Prime Patrol • Action & Riddle Cards
Cut along dashed lines. Draw when landing on a Challenge tile (?) or use for flash drills.
Deck A: Challenges
Speed Check Card #01
Is 37 Prime or Composite?
State your claim and prove whether any whole numbers other than 1 and 37 divide it evenly.
Reward: Correct = Advance +2 spaces!
Odd Impostor Card #02
The Mystery of 51
51 is odd. Does that mean it is prime? Apply the sum-of-digits test to reveal the truth!
Reward: Correct = Advance +1 & Roll again!
Factor Hunter Card #03
List All Factors of 18
Name all factor pairs for 18 in under 15 seconds. Is 18 prime or composite?
Reward: Name all 6 factors = Advance +2!
True or False Card #04
The Even Rule Myth
"True or False: Every single prime number in existence is an odd number." Explain your answer!
Reward: Correct = Advance +1 space
Prime Trio Card #05
Primes Between 40 and 50
There are exactly 3 prime numbers between 40 and 50. Name at least two of them!
Reward: 2 primes = +1 space / All 3 = +3 spaces!
The Lonely Unit Card #06
Why Isn't 1 Prime?
Explain to the other players the exact math definition reason why 1 is disqualified from being prime.
Reward: Clear definition = Protect from next hazard!
Master Trap Card #07
The 91 Conundrum
91 doesn't end in 0, 2, 4, 6, 8, or 5, and 9+1=10 (not ÷3). Is 91 prime? What factor hides inside it?
Reward: Find hidden factor = Advance +3!
Twin Primes Card #08
Spot the Twins
Twin primes are prime pairs that have a difference of exactly 2 (like 3 & 5, or 11 & 13). Name one more pair under 35!
Reward: Valid twin pair = Advance +2 spaces
Use safety scissors to cut cards into an 8-card draw deck.
Page 1 of 2 • Prime Patrol Materials
Prime Patrol • Prime Number Sort Station
Cut category banners and number tiles. Sort each tile into its true mathematical home!
Deck B: Number Sort
Zone 1
PRIME VAULT
Exactly 2 factors (1 & itself)
Zone 2
COMPOSITE REALM
3 or more factors (can be grouped)
Zone 3
NEITHER (UNIT)
Only 1 single factor
Sort Tile #1
2
Test: Even number, factors?
Prime Patrol Teacher Guide Prime Patrol Teacher Guide
Instructional Framework, Game Facilitation & Differentiation
Grades 4–6 Math
Core Learning Objectives (CCSS.MATH.CONTENT.4.OA.B.4)
Students will: (1) Define prime and composite whole numbers up to 100 using factor models; (2) Understand why 1 is neither and 2 is the only even prime; (3) Apply divisibility rules (÷2, ÷3, ÷5) to test numbers and communicate mathematical proofs through gameplay.
Suggested Lesson Pacing
Phase 1: Mini-Lesson 10–12 Minutes
Present Prime Patrol Slides . Model arrays with color tiles (7 tiles = 1×7 line vs. 6 tiles = 2×3 rectangle). Highlight the 1 and 2 rules.
Tools: Slides 1–4, Square tiles
Phase 2: Game Stations 20–25 Minutes
Pair students for the Prime Kingdom Board Game (2–4 players) or set up the Prime Number Sort hands-on category mat activity.
Tools: Board, Dice, Decks A & B
Phase 3: Debrief & Wrap 8–10 Minutes
Review tricky cards (e.g., 51, 91). Have cadets share how they proved impostor numbers. Administer exit ticket prompt.
Tools: Cadet Recording Log
Critical Misconceptions & Coaching Prompts
Misconception: "1 is a prime number."
Coaching: "Primes must have two distinct positive factors. 1 only has itself (1×1=1). We call 1 a unique 'Unit'."
Misconception: "All odd numbers are prime."
Coaching: "Look at 9, 15, 21, and 25! They are odd, yet they have factor pairs like 3×3, 3×5, and 5×5."
Misconception: "2 is composite because it's even."
Coaching: "Can you form 2 into a rectangle with width > 1? No! Only 1×2. It is the sole even prime in the universe!"
Misconception: "51 and 91 look very prime."
Coaching: "Add digits: 5+1=6 (divisible by 3, so 3×17=51). For 91, test multiples of 7: 7×13=91!"
Support & Scaffolding
Provide a 100-chart with multiples of 2, 3, and 5 pre-shaded.
Give students 20 plastic grid tiles to build physical rectangles before answering on board spaces.
Extension & Challenge
Goldbach's Riddle: Can every even number > 2 be written as the sum of two primes? (e.g., 10 = 3 + 7).Have students find all 8 prime numbers between 70 and 100.
Prime Patrol Instructional Suite Page 1 of 2 • Teacher Guide
Master Answer Key & Chart
Official solutions for Challenge Cards, Sort Tiles, and Board Game
