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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.

0 / 4 solved

Citrus mix

Match the same taste ratio while filling the whole tank.

Target2 : 315 cups
Concentrate5Water7your ratio5 : 712 / 15
Batch model2 Concentrate + 3 Waterrepeat 3x

Ratio and percent model

Who this demo helps, and where to practice next

Ratio Reactor Relay is built for students who need multiplicative comparison before cross-multiplication or percent shortcuts. It gives the page a clear search purpose: learn the model, manipulate it, then continue into the matching grade-level practice.

Ratio Reactor Relay helps when a student can copy a procedure but cannot explain why it works. The demo slows the idea down into a visible model before sending the learner to guided missions.

Learning goals

  • An equivalent ratio repeats the same batch. For 2:3, the target 15-total mix is 6:9 because 2:3 repeats 3 times.
  • The total matters too. A ratio can be correct but still underfill or overfill the target tank.
  • Cross-products make the animation check visible: a:b matches c:d when a x d and b x c land on the same value.

How to play

  1. 1 Keep the ratio relationship visible while the numbers scale.
  2. 2 Check the total, unit rate, or percent label before calculating.
  3. 3 Use the related Grade 6 topics to transfer the model into word problems.
FAQ

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.

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