The Leap to Sixth Grade
Like Duolingo, but for The Leap to Sixth Grade. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
Free forever · No credit card · iPhone & Android

Key ideas in The Leap to Sixth Grade
- Ratios can compare two independent groups (part-to-part) rather than just a piece of a total
- The order of numbers in a ratio must match the order of the items being compared
- A ratio of 3:5 is different from a fraction of 3/5 if the 5 represents a second group rather than the total
- A unit rate is found by dividing the first quantity by the second to find the value for '1'
- Comparing different totals is only possible once they are both reduced to a 'per day' or 'per item' basis
- Distinguishing between part-to-whole fractions and part-to-part ratios
- Using unit rates to determine the best value or speed
- Proportions are two ratios that are equal in value
- Scaling requires multiplying both parts of the ratio by the same factor
- If you double one side of a relationship, you must double the other to keep it proportional
- To find the amount for 4 people (double), you must double the flour (6 cups)
- The relationship between distance and map inches remains constant regardless of the specific numbers used
- Ratios are the underlying math for 'per' statements
- Real-world comparisons often involve two different units of measurement
- Scaling a ratio up or down correctly
- Applying ratio logic to different real-world scenarios
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives The Leap to Sixth Grade the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
If a recipe uses 2 cups of flour for every 1 cup of sugar, which ratio correctly represents the relationship of flour to sugar?
Get it right to open this lesson and 11 more in the app.
Where The Leap to Sixth Grade takes you
Bridge the gap between elementary and middle school by mastering the core systems that connect math, science, and history.
- 1
The Logic of Systems
- Ratios: The Math of Relationships
- The Scientific Method: Testing Ideas
- 2
The Story of Societies
- Ancient Civilizations: Systems of Survival
- Geography: How the Land Shapes the Story
2 sections · 4 units · 12 levels. Built to play, not to enroll.
You pick the voice
The Leap to Sixth Grade is taught in the The Professor style: clear, structured, thorough. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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Start The Leap to Sixth Grade today.
Download Tomo, search The Leap to Sixth Grade, and play your first lesson in under a minute.