Ratios & Proportional Relationships
GradesSixth GradeRatios & Proportional RelationshipsRatio Tables and Tape Diagrams

Ratio Tables and Tape Diagrams

⚖️ Ratios & Proportional Relationships
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Ratio Tables and Tape Diagrams

Ratio tables and tape diagrams are powerful tools for scaling and solving proportion problems!

A RATIO TABLE organizes equivalent ratios in rows, making it easy to scale quantities up or down. A TAPE DIAGRAM uses rectangular bars (segments of tape) to model the parts of a ratio. Both tools help you visualize and solve ratio problems.

📋Ratio table — juice concentrate
Ratio: 2 cups concentrate : 3 cups water

Concentrate | Water | Total
──────────────────────────
     2      |   3   |   5
     4      |   6   |  10
     6      |   9   |  15
    10      |  15   |  25

Each row multiplies the original ratio by the same factor!
🎞️Tape diagram — boys to girls ratio 3:5
Boys : Girls = 3 : 5

Boys:  [■][■][■]
Girls: [■][■][■][■][■]

If the class has 40 students:
Each unit = 40 ÷ 8 = 5 students
Boys = 3 × 5 = 15   ·   Girls = 5 × 5 = 25

Using a ratio table to find unknown values:

1Write the known ratio in the first row
2To scale up: multiply BOTH values by the same whole number
3To scale down: divide BOTH values by the same number
4Find the row where one value matches your target, then read the other
✏️ Try It!

A recipe uses 3 cups of flour for every 2 cups of sugar. How many cups of sugar are needed for 12 cups of flour?

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Remember This!

In a ratio table, every row is equivalent. The multiplier you use must be the SAME for both values in the ratio — that's what keeps them proportional!

Practice with CalcVerse
⚖️Unit Rate & Ratio Solver
Take Quiz 📝 — 25 Questions