High School 3 mathematics
High School 3 covers Calculus II and Geometry. Six activities from this grade are translated into English so far, covering derivatives, integrals, 3D coordinates, vectors, and ellipses — more High School 3 topics are on the way.
📈 Functions & graphs
Derivatives of Various Functions
Compare the tangent line and derivative graph of sin, cos, eˣ, and ln x, and verify the formulas with a limit.
Open English lesson → 📐Parametric & Implicit Differentiation
Find a circle's tangent slope two different ways and confirm they always agree.
Open English lesson → 🔗Various Integration Techniques
Confirm the Fundamental Theorem of Calculus and explore the family of antiderivatives.
Open English lesson → 🔗Substitution & Integration by Parts
Verify antiderivatives found by substitution and integration by parts against a Riemann sum.
Open English lesson →📐 Shapes & geometry
Ellipse
The two-focus definition, eccentricity, the area formula (πab), planetary orbits, and whispering galleries.
Open English lesson → 📦3D Coordinates
Move a point along the x, y, and z axes and verify the distance formula in space.
Open English lesson → ➡️Vectors
Add vectors with the triangle rule and find the exact moment the dot product hits 0 (perpendicular).
Open English lesson →