Ratio Reactor Relay
Equivalent ratios in motion
A richer animation game for proportional reasoning: tune two streams, launch the reactor, and watch the tokens form repeated ratio batches. The reactor only locks when the ratio and the total both match.
What this game shows · Equivalent Ratios in Motion
An equivalent ratio is the same recipe served in different batch sizes. The reactor here pulls two streams in a fixed ratio and only locks when both the ratio and the total match — so equivalence becomes a pattern you can launch and watch.
- Ratio a : b
- a units of one thing for every b units of another.
- Equivalent
- a : b = c : d when a × d = b × c (cross-product check).
- Batch repeat
- a target total of n × (a + b) holds n full batches of a : b.
Aligned with CCSS 6.RP.A.3 (use ratio reasoning to solve real-world problems).
Animated ratio game
Ratio Reactor Relay
Build an equivalent ratio, fill the target total, then launch the moving streams.
Equivalent ratios, in motion.
01 What is an equivalent ratio? 6.RP.A.1
Two ratios are equivalent when one is a whole-number scaling of the other. 2:3 and 6:9 are equivalent because both mean "two of A for every three of B."
02 Why must the total also match the target? Total + ratio
A correct ratio can still under- or over-fill the tank. 2:3 is the right shape, but if the target is 15 units, you need exactly three full batches: 6:9. The reactor tests both checks at once.
03 How does the cross-product check work? a · d = b · c
a:b is equivalent to c:d when a × d equals b × c. The animation lights up both products and locks when they match.
04 Which grade is this game for? Grade 6
Grade 6, aligned with CCSS 6.RP.A.3. Useful as a warm-up for proportional reasoning in Grade 7.
Related Fun Math games
- Ratios Ratio Tape Diagram Same scaling logic, drawn as bars — useful when totals get harder to picture.
- Ratios · Percent Percent Grid Lab Percent is just a ratio with denominator 100 — see it on a grid.
- Olympiad · Rates Cows on the Meadow Two simultaneous rates produce a different kind of equivalence question.