RatioRealm

Ratios compare two amounts — and once you can scale a ratio, you can cook, read maps, and reason about percents. Build ratios by hand, then meet the guides who each teach one piece of proportional thinking.

Level 1

For grown-ups — progress report →A private, on-device snapshot mapped to the skill areas practiced. Export a CSV or print — nothing leaves this device.

Build & reason — hands-on ratio surfaces

Three ways to think proportionally, rebuilt for the browser — the same skills as the iOS app.

Ratio Studio Scale a ratio to a target on a live double number line + ratio table, and mark part-of-a-whole percents. Scale Workshop Scale a recipe, a map distance, or a blueprint measurement up or down to hit the target. Relative Reasoning Which mix is stronger? Judge the share, not the size — the bigger bar isn't always the stronger one. 📈 Graph the Ratio Plot equivalent ratios and watch them line up through the origin — the unit rate is the slope. Then tell proportional from a look-alike that starts with a base fee.

Practice the concepts

16 kits from an intro to ratios up to advanced synthesis — a short round of questions with a hint whenever you get stuck. Your progress stays on this device.

Kit 1: Introduction to Ratios Ratios · grades 5-6 · 25 questions Kit 2: Equivalent Ratios Ratios · grades 5-6 · 25 questions Kit 3: Rates and Unit Rates Rates & unit rates · grades 5-6 · 25 questions Kit 4: Proportions and Cross-Multiplication Proportions · grades 6-7 · 25 questions Kit 5: Percentage Basics Percents · grades 6-7 · 25 questions Kit 6: Percentage Applications Percents · grades 6-7 · 25 questions Kit 7: Scale Drawings and Maps Scale · grades 6-7 · 25 questions Kit 8: Proportional Reasoning in Real Life Proportions · grades 7-8 · 25 questions Kit 9: Foundational Concepts Review Ratios · grades · 25 questions Kit 10: Applied Problem Solving Ratios · grades · 25 questions Kit 11: Critical Analysis & Evaluation Ratios · grades · 25 questions Kit 12: Advanced Integration & Synthesis Ratios · grades · 25 questions Kit 13: Cross-Topic Connections Rates & unit rates · grades 5-6 · 25 questions Kit 14: Real-World Applications Rates & unit rates · grades 6-7 · 25 questions Kit 15: Misconceptions & Reasoning Rates & unit rates · grades 6-7 · 25 questions Kit 16: Advanced Synthesis Rates & unit rates · grades 7-8 · 25 questions

⚔️ Ratio Duel (2–4 players + online room)

Same idea, another world

Something you practice here shows up somewhere else too — that's real learning that travels.

A ratio is the same equal-parts idea you use with fractions.The shared idea: proportional reasoning — a ratio is a part compared to a wholeTry FractionForge →A unit rate that stays the same is exactly the constant rate a linear function grows by.The shared idea: a constant rate — a fixed ratio is the same as the constant rate of change in a linear function (y = kx)Try FunctionForge →The fixed ratio you scale here is exactly how voltage and current stay in proportion through a resistor (Ohm’s law).The shared idea: a constant ratio (y = kx) — a fixed ratio is the same constant that ties voltage to current in Ohm’s law (V = I·R)Try CircuitForge →

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🔀 Mixed practice — revisit what you’ve learned A short round that shuffles questions from the kits you’ve played, brought back when they’re ready to review. Great for making it stick.

RatioRealm mascot

Meet the cast — the characters who teach this

Each one stands for an idea you’ll practice. Tap a character to read their illustrated story and hear their audio drama.

Ensemble stories — the cast together

Explore all the stories →

📚 Books for RatioRealm

Read the story, print a workbook, or color the cast — free PDFs to read offline or print at home.

Browse all books →

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