1Intuition Sandbox
Start with an aha.
Move a point. Change an angle. See the relationship before you meet the formula.
Unit circleInteractive preview
cos θ 0.87sin θ 0.50
Explore first. Build a picture of the idea.
MATH FOUNDATIONS, FOR YOUR NEXT CLASS
Next math,
unfolded.
Find your missing math foundations.
Build the understanding to move forward.
A little understanding goes a long way.
Cosine · horizontal width0.87
A lesson preview. Go ahead, try it.
MADE FOR COLLEGE STEM
Your next class starts
with what came before.
Sometimes the hard part of calculus is an earlier algebra rule. Integrade helps you find that missing connection.
A plan for the class ahead.
Find the earlier skills your next course assumes. Know what to refresh and what to rebuild.
INSIDE INTEGRADEApp preview
Your course, its prerequisites, your next session.
THE FOUR-STAGE LESSON FLOW
From “I’ve seen this”
to “I get this.”
One idea, explored from four angles.
A research-informed path to understanding.
2Dual Coding
Two ways in.
One connected idea.
In the app, synchronized audio and visual models connect what you hear to what you see.
Product rule
Differentiate each factor. Keep the other one.
u·v
0:00 / 0:33
Listen, then try the visual at your own pace.
Read explanation
When two functions are multiplied together, we use the product rule to find their derivative. Go ahead and click Differentiate. Notice how each part has just one factor with a prime mark—that’s the factor we differentiated. In the first part, it’s the blue one. In the second, it’s the green one. The other factor stays unchanged. Add those two parts together, and that’s the product rule. Now, click Concrete example to see how it works with real functions.
Try the visual below: each factor keeps its colour as the product rule unfolds.
3Breakdown (Guided Completion)
A little guidance.
Then, your turn.
Follow a worked example, then complete the missing step yourself. The support fades as your understanding grows.
Recall the exact value
cos (π/6) = √3/2
Make the calculus connection
the slope of sin x is cos x
Same value. A new purpose.
Two parts: study the steps, then make the next move.
4Mastery Practice
Make the rule
your own.
Bring the underlying idea back from memory. Low-stakes practice helps you see what is sticking.
Active recall
Which sign pair belongs to 150°?
(cos θ, sin θ)
Try it without looking back at the worked example.
Integrade never gives final answers — only the rule you are missing.
Room for your
whole study routine.
All features A calmer kind of focus.
An ambient bonsai grows through your focus block. Keep studying while the timer continues across the app.
Zen Focus TimerTHE THINKING BEHIND IT
Good learning
has a foundation.
Our lesson flow draws on research in how people learn. These studies inform the methods; they are not trials of Integrade’s effectiveness.
Active learning
A meta-analysis of undergraduate STEM courses found benefits of active learning compared with traditional lecturing. Integrade puts exploration before passive explanation.
Freeman et al., 2014Words with visuals
Research on concurrent narration and animation informs the way Integrade connects spoken explanations to visual models.
Mayer & Anderson, 1992Guidance that fades
Worked examples and gradually faded solution steps inform the bridge from watching an example to completing a step independently.
Atkinson, Renkl & Merrill, 2003Retrieval practice
Research on retrieving information from memory informs Integrade’s low-stakes recall practice.
Roediger & Karpicke, 2006Built by students. For students.
Your next class.
A clearer start.
A quick refresher or a deeper rebuild.
Start where you are.