Learning goals
- A ratio compares two quantities by coordinated units.
- Equivalent ratios stretch both bars by the same factor.
- The shape of the comparison stays the same when both terms scale together.
Ratio Tape Diagram
Scale both bars together
Scale a tape diagram and watch both bars grow together. The bars compare by multiplication, not subtraction.
What this game shows · Ratio Bars
A tape diagram is a ratio drawn as two bars sharing one unit. Stretch both bars by the same factor and the ratio stays equivalent. This makes proportional reasoning a length question instead of a number-chasing one.
- Unit bar
- one piece — the shared building block of both quantities.
- Equivalent ratio
- same number of unit bars on each side.
- Scale factor
- multiply both bars by k → ratio unchanged, totals scale linearly.
Aligned with CCSS 6.RP.A.3 (ratio reasoning with tables, tape diagrams, and double number lines).
Ratio tape diagram
Equivalent ratios stretch both bars by the same scale factor.
9 : 6
9
6
First parts
3
Second parts
2
Scale
3
Ratio and percent model
Who this demo helps, and where to practice next
Ratio Tape Diagram 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 Tape Diagram 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.
How to play
- 1 Keep the ratio relationship visible while the numbers scale.
- 2 Check the total, unit rate, or percent label before calculating.
- 3 Use the related Grade 6 topics to transfer the model into word problems.
Continue with guided practice
FAQ
Tap to expand Ratio bars, in proportion.
01 Why does scaling preserve the ratio? Same factor
Because both bars grow by the same multiplier, the relative lengths stay the same. 2:3 stays 2:3 even when both bars triple.
02 How do tape diagrams help with word problems? Visual proof
They turn "twice as many" into "two bars vs one bar." Visual length resists the trap of confusing absolute differences with proportional ones.
03 How is a tape different from a number line? Tape vs line
A tape compares two quantities side by side. A number line places one quantity per axis. Tapes are made for ratios; lines are made for distance.
04 Which grade is this game for? Grade 6
Grade 6, aligned with CCSS 6.RP.A.3. Foundation for percent, scale drawings, and unit rate.