Ratio Rally Board Game
Grade 7 Math Lab 2–4 Players • 30–45 Mins
RATIO RALLY: THE CONSTANT GRAND PRIX
Core Standard CCSS.MATH.7.RP.A.2
#01 START
START LINE
Collect 50 Fuel Pts
Roll 1 Die
#02 PIT STOP
Draw Challenge Card
Solve to earn pts
#03 BOOST
Unit Rate Nitro!
Advance +2 spaces
#04 PIT STOP
Draw Challenge Card
Correct = Roll again
#05 TACTIC
Origin Check
Does graph touch (0,0)?
#06 HAZARD
FLAT TIRE!
Shifted Ratio!
Lose Next Turn
#07 PIT STOP
Draw Challenge Card
Show work on log
#08 CONSTANT
Formula Lane: \(y = kx\)
State \(k = y \div x\)
#09 PIT STOP
Draw Challenge Card
Earn Fuel Points
#10 TURBO
Straight Line Speed
Pass 1 car ahead
#11 DETOUR
RATIO SWAP
Switch with leader
Or take +40 Pts
#12 PIT STOP
Draw Challenge Card
Double card points!
#13 RADAR
Table Check
Find constant \(k\)
#14 PIT STOP
Draw Challenge Card
Solve or move back 1
#15 SPEEDWAY
Direct Variation
Advance +3 spaces
#16 HAZARD
OIL SLICK!
Non-constant rate
Slip Back 2 Spaces
#17 PIT STOP
Draw Challenge Card
Referee checks work
#18 BONUS
Unit Rate Master
+100 Fuel Points
#19 PIT STOP
Draw Challenge Card
Final challenge lap!
#20 HOMESTRETCH
Speedway Pass
Exact roll to finish
Infield Control Center
Goal: First to 500 Fuel Pts OR 2 Laps!
How to Play
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- Each player places a marker on START.
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- Roll a 6-sided die to advance your racecar.
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- On PIT STOP, draw a Challenge Card!
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- Solve on your Driver Log. The player to your right acts as Referee using the Master Key.
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- Correct: Bank card points! Error: No points this turn.
Challenge Draw Deck Place 24 cards face-down here
Pit Lane Discards Reshuffle when draw pile is empty
Racer's Formula HUD:
Constant: \(k = \frac{y}{x}\) Equation: \(y = kx\) Unit Rate: Point \((1, k)\) Origin: Must contain \((0, 0)\)
Cut challenge cards on pages 2 & 3. Use page 4 for student calculations and answer adjudication. Page 1 • Race Track Board
Print & Cut
RALLY CHALLENGE CARDS • SET A
Cut along dashed borders. Total of 12 cards on this sheet (Cards 01–12).
Cut-Out Sheet 1
#01 • Unit Rate 50 PTS
A sports car travels 180 miles in 3 hours at a constant speed. What is the car's unit rate in miles per hour?
Find \(k\) (miles per 1 hour).
#02 • Constant \(k\) 50 PTS
In the proportional equation \(y = 7.5x\), what is the constant of proportionality (\(k\))?
State the numerical value of \(k\).
#03 • Table Master 60 PTS
Find constant \(k\) from this table:
x:
2
4
6
y:
14
28
42
Compute \(y \div x\).
#04 • Graph Gauge 60 PTS
A graph passes through \((0, 0)\) and the point \((4, 20)\). What is the constant of proportionality?
Calculate \(k = \frac{y}{x}\).
#05 • True or False 50 PTS
True or False: The linear equation \(y = 4x + 3\) represents a proportional relationship.
Explain why or why not.
#06 • Fuel Engine 70 PTS
Gasoline costs $14.00 for 4 gallons. Write an equation relating total cost (\(y\)) to gallons (\(x\)).
Form: \(y = kx\)
#07 • Table Missing 70 PTS
If \(x\) and \(y\) are proportional, find the missing value ?:
x:
3
5
9
y:
12
20
?
State value of \(y\) when \(x = 9\).
#08 • Coordinate Clue 60 PTS
On a proportional graph of race time vs. distance, what does the point \((1, 65)\) represent in words?
Explain what 1 and 65 mean.
#09 • Fraction Pace 80 PTS
A racer completes \(\frac{3}{4}\) of a lap in \(\frac{1}{2}\) minute. What is the racer's unit speed in laps per minute?
Compute \(\frac{3}{4} \div \frac{1}{2}\).
#10 • Graph Test 50 PTS
What two visual features must a graph have to represent a proportional relationship?
Name both required features.
#11 • Recipe Scaling 70 PTS
Pit crew coolant requires 2 cups concentrate for every 5 cups water. How many cups of water are needed for 8 cups concentrate?
Set up a proportion & solve.
#12 • Decoy Trap 70 PTS
Does this table show a proportional relationship? Why or why not?
x:
1
2
3
y:
5
9
13
Test the ratio \(\frac{y}{x}\) for each.
Cards 01–12 • Ratio Rally Game Deck Page 2 • Cut Cards Sheet 1
Print & Cut
RALLY CHALLENGE CARDS • SET B
Cut along dashed borders. Total of 12 cards on this sheet (Cards 13–24).
Cut-Out Sheet 2
#13 • Decimal Drift 60 PTS
If \(y = 3.25x\), find the value of \(y\) when \(x = 8\).
Multiply \(3.25 \times 8\).
#14 • Coordinate Meaning 60 PTS
In any proportional graph of \(y\) versus \(x\), what does the point \((0, 0)\) always signify?
Describe what 0 input yields.
#15 • Hourly Wages 60 PTS
A track mechanic earns $108 for 6 hours of work. Write an equation modeling total pay (\(p\)) for \(h\) hours.
Find hourly rate & write equation.
#16 • Identify Non-Prop 70 PTS
Which equation is NOT proportional?
A: \(y = \frac{2}{3}x\) | B: \(y = 12x\)
C: \(y = x + 5\) | D: \(y = 0.8x\)
Select letter and state why.
#17 • Speed Comparison 80 PTS
Racer A: \(d = 85t\)
Racer B travels 270 miles in 3 hours.
Who is traveling faster, and by how much?
Compare their unit rates (\(k\)).
#18 • Missing Table Pair 70 PTS
Find the missing \(x\) value in this proportional table:
x:
4
?
10
y:
24
42
60
First find \(k\), then divide \(42 \div k\).
#19 • Unit Rate Point 60 PTS
A line shows a proportional relationship with \(k = \frac{3}{5}\). What coordinate point corresponds to \(x = 1\)?
Write in \((1, r)\) coordinate form.
#20 • Complex Fraction 80 PTS
A vehicle uses \(\frac{2}{5}\) gallon of fuel to drive \(9\) miles. How many miles does it travel per 1 whole gallon?
Calculate \(9 \div \frac{2}{5}\).
#21 • Tire Rotations 70 PTS
A race tire makes 450 rotations in 5 seconds. How many rotations does it make in 12 seconds?
Find rotations per second first.
#22 • Graph Analysis 70 PTS
A graph passes through \((0, 0)\), \((2, 9)\), and \((6, 27)\). Write the equation for this line.
Verify constant \(k\) and write \(y = kx\).
#23 • Scale Factor Pit 80 PTS
A model speedway uses a scale where 2 inches = 25 miles. If the actual track is 175 miles, how long is the model?
Solve the proportion: \(\frac{2}{25} = \frac{x}{175}\).
#24 • Grand Prix Master 100 PTS
A car uses fuel proportionally: \((5, 130)\) and \((8, 208)\). How many gallons of fuel are needed to drive 390 miles?
Find \(k\) (miles per gal), then solve for \(x\).
Cards 13–24 • Ratio Rally Game Deck Page 3 • Cut Cards Sheet 2
Player Record & Self-Checking System
DRIVER LOG & PIT CREW REFEREE KEY
Date: _________________
Driver Calculation Log (Show work for Pit Stop Cards)
Players write calculations below to validate points
| Driver / Team Name | Card # | Math Scratchpad & Constant Value (\(k\)) | Fuel Pts | Umpire |
|---|
| # | | | |
| # | | | |
| # | | | |
| # | | | |
| # | | | |
| # | | | |
Pit Crew Official Master Key (Peer Adjudication)
All 24 Cards Verified
#01: 60 mph (\(180 \div 3 = 60\))
#02: \(k = \mathbf{7.5}\)
#03: \(k = \mathbf{7}\) (\(14 \div 2 = 7\))
#04: \(k = \mathbf{5}\) (\(20 \div 4 = 5\))
#05: False; does not go through \((0,0)\)
#06: \(\mathbf{y = 3.50x}\) (\(14 \div 4 = 3.50\))
#07: \(? = \mathbf{36}\) (\(k = 4\); \(4 \times 9 = 36\))
#08: 65 miles in 1 hour (Unit rate)
#09: \(\mathbf{1.5}\) (or \(\frac{3}{2}\)) laps/min
#10: Straight line & passes through (0,0)
#11: 20 cups water (\(8 \times 2.5 = 20\))
#12: No; ratios vary (\(5 \neq 4.5 \neq 4.33\))
#13: \(y = \mathbf{26}\) (\(3.25 \times 8 = 26\))
#14: 0 input results in 0 output
#15: \(\mathbf{p = 18h}\) (\(108 \div 6 = 18\))
#16: C: \(y = x + 5\) (non-zero \(y\)-intercept)
#17: Racer B by 5 mph (90 vs. 85 mph)
#18: \(? = \mathbf{7}\) (\(k = 6\); \(42 \div 6 = 7\))
#19: Coordinate \(\mathbf{(1, \frac{3}{5})}\) or \((1, 0.6)\)
#20: \(\mathbf{22.5}\) miles (\(9 \times \frac{5}{2}\))
#21: 1,080 rotations (\(90 \times 12\))
#22: \(\mathbf{y = 4.5x}\) (or \(y = \frac{9}{2}x\))
#23: 14 inches (\(175 \times \frac{2}{25}\))
#24: 15 gallons (\(k = 26\); \(390 \div 26\))
Gameplay Recommendation: Assign the player sitting to the current racer's right as the official "Pit Crew Umpire" using this sheet. This ensures 100% active engagement on every turn!
CCSS.7.RP.A.2a-d
Ratio Rally Board Game • Master Key & Student Worksheet Page 4 • Log & Answer Key
