Math Visual Explanations
Interactive math explanations with AI-powered GeoGebra diagrams.
- Improper Integrals of 1/x^p: When They ConvergeGrades 11-12
- Centroid, Incentre, Circumcentre and Orthocentre of a Right TriangleGrades 9-10
- Completing the Square: Vertex of y = x² + 2x + 3Grades 9-10
- Proving Inequalities: Squares, Surds and Telescoping SumsGrades 10-11
- Shortest Path on a Cylinder (Unfolded Net Method)Grades 10-11
- Plateau–Rayleigh Instability: Why Liquid Streams Form DropletsGrades 11-12
- Sine Ratio in a Right Triangle: sin ∠DAC × DC/ACGrades 9-10
- Sunflower Spirals: The Golden Angle and Fibonacci NumbersGrades 8-9
- Melting a Sphere into Cones: Volume and Similar SolidsGrades 10-11
- Circumcentre of a Triangle from Coordinates: Worked ExampleGrades 9-10
- Concave Lens Ray Diagram: Image Position and MagnificationGrades 10-11
- 3D Yield Surface Graph Explained, with a Heat MapGrades 11-12
- How to Find a Projection Matrix: The First StepGrades 11-12
- Epsilon-Delta Definition of a Limit, VisualizedGrades 11-12
- Angle Between Two Planes in a Tetrahedron (3D Trigonometry)Grades 11-12
- The Math of a Perfect Free Throw (Parabolic Trajectory)Grades 9-10
- Volume of a Cylinder and Cone Composite Solid (Interactive 3D)Grades 8-9
- Fractal Tree Branching: The Geometry of Recursive PatternsGrades 8-9
- Curved Surface Area of a Cylinder (2πrh) ExplainedGrades 8-9
- Vector Projection onto a Cross Product: Worked 3D ExampleGrades 11-12
- Equilateral Triangle Divided into Equal Segments (Construction)Grades 8-9
- Find Angle DCO: Semicircle Geometry with Equal RadiiGrades 9-10
- Isosceles Trapezoid: Finding the Height from Its SidesGrades 8-9
- Inscribed Angle Theorem ExplainedGrades 9-10
- 3D Pyramid Trigonometry Problem, Solved Step by StepGrades 10-11
- The Math Behind Mouse Acceleration Curves
- Integral of x⁵ ln(x + 1) from 0 to 2Grades 11-12
- Remainder Theorem Visualized with a Cubic PolynomialGrades 10-11
- Rational Function with a Parameter: Asymptotes, Extrema, InterceptsGrades 11-12
- Sine Rule in a 3D Pyramid: Finding a Base AngleGrades 10-11
- Fibonacci Squares and the Golden Spiral on a GridGrades 8-9
- Where y = x⁴/(x + 1) Meets y = x²Grades 10-11
- Internal and External Angle Bisectors of a TriangleGrades 9-10
- The Derivative as the Slope of a Tangent LineGrades 11-12
- Angle at the Centre Is Twice the Angle at the CircumferenceGrades 9-10
- Limits in Physics: Instantaneous Velocity ExplainedGrades 11-12
- Solving x⁴ ln(x + 1) = 1 GraphicallyGrades 11-12
- Definite Integral of x⁴/(x + 1) from 0 to 4Grades 11-12
- Intersection of a Line and a Circle: Fastest MethodGrades 10-11
- Incentre of an Isosceles Triangle Using CoordinatesGrades 10-11
- Projecting the Unit Circle onto the Surface z = x²yGrades 11-12
- 3D Pyramid on a Kite-Shaped Base: Diagram SketchGrades 10-11
- Interquartile Range from a Cumulative Frequency GraphGrades 9-10
- General Form Ax + By + C = 0: Slope and InterceptsGrades 9-10
- Maximum and Minimum of xy: Finding the Integer BoundsGrades 10-11
- Simplifying 2e^(−x) + 3xe^(−x) to (3x + 2)e^(−x)Grades 11-12
- Dimensionality Reduction Visualized: Unrolling a Swiss RollGrades 11-12
- Rational Function Graph: Asymptotes, Extrema and Inflection PointsGrades 11-12
- Jensen's Inequality Proof for f(t) = t²Grades 11-12
- Graph of a Periodic Function with Period π/2 (y = sin 4x)Grades 10-11
- Parabolic Trajectory: Launch Angle, Vertex and RangeGrades 10-11
- Angles of Depression in 3D: Helicopter and Fire Truck ProblemGrades 10-11
- Perpendicular Lines and Locus: Coordinate Geometry QuestionGrades 10-11
- Area Between y = e^(−x) ln(x + 3) and y = e^(−x)Grades 11-12
- Graph of y = x⁴/(x + 1) Compared with y = x²Grades 10-11
- The Laffer Curve Graph ExplainedGrades 11-12
- Graph Translation: Equation of y = f(x) Moved Left and DownGrades 9-10
- Sketching Angles from a Common VertexGrades 8-9
- How to Construct a Penrose TilingGrades 10-11
- Why Adding a Constant Does Not Change Standard DeviationGrades 9-10
- Circumcentre of a Triangle: Interactive Perpendicular BisectorsGrades 9-10
- Orthocentre of a Triangle: Interactive AltitudesGrades 9-10
- y = sin 5x vs y = sin 2x: How Frequency Changes a Sine GraphGrades 9-10
- Right Triangle Labelled: Hypotenuse, Opposite and AdjacentGrades 8-9
- Graph of sin²(3x) ExplainedGrades 11-12
- Integral of 1/(x^2020 + 46)Grades 11-12
- Golden Angle and Phyllotaxis: The Math of a SucculentGrades 8-9
- Properties of a Parallelogram, with an Interactive DiagramGrades 8-9