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 during early access · 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.
More Science on Tomo
The Universe Above Us
Journey from your backyard to the edge of time. Discover how stars are born, why planets stay in orbit, and what lies within the deepest mysteries of the cosmos.
The Secret Life of Cells
Explore the microscopic world within you, where tiny biological machines work tirelessly to keep you alive. Learn how cells build, power, and repair themselves in this comprehensive guide to the building blocks of life.
Quantum Physics in Your Pocket
Discover how the strange rules of the subatomic world power your smartphone, heal your body, and define the future of technology.
The Weird World of Quantum Physics
Discover the strange rules that govern the universe at its smallest scale, where objects can be in two places at once and nothing is certain until you look.
Astronomy: Beyond the Telescope
Master the intersection of celestial science, orbital defense, and the cultural mysteries of the cosmos. From the strategic mission of the Space Force to the search for extraterrestrial life and ancient theological views, this course covers the universe's most provocative questions.
Seeing with Sound: Ultrasound Basics
Learn to decode the grainy world of ultrasound images and understand how sound waves reveal the secrets hidden inside the human body.
Start The Leap to Sixth Grade today.
Download Tomo, search The Leap to Sixth Grade, and play your first lesson in under a minute.