Geometry isn't just about shapes; it's about thinking clearly. Learn the difference between Inductive and Deductive reasoning, master Conditional Statements (If-Then), and understand how to construct a valid Proof.
How René Descartes united Algebra and Geometry. Master the Distance Formula, Midpoint Formula, and the Equation of a Circle on the coordinate plane.
Understand the geometry of 3D shapes. Learn the formulas for Prisms, Pyramids, Cylinders, and Spheres. Discover why elephants have big ears (Surface Area to Volume Ratio).
Master the geometry of circles. Learn the definitions of Radius, Diameter, Chord, and Tangent. Understand Pi (π) and the formulas for Circumference and Area.
How to calculate the area and perimeter of any polygon. Master the formulas for rectangles, triangles, trapezoids, and learn the sum of interior angles.
What is the difference between Congruent and Similar shapes? Learn the rules of SSS, SAS, and AA, and understand how maps and scale models work.
Master the most famous equation in mathematics: a^2 + b^2 = c^2. Learn how to find missing sides of right triangles and use Pythagorean Triples.
Why are bridges made of triangles? Learn the properties of triangles, including the Triangle Inequality Theorem and the Sum of Angles (180 degrees).
Understand how angles are measured and what happens when parallel lines are cut by a transversal. Master the rules of vertical, alternate interior, and corresponding angles.
Start from zero dimensions. Understand the undefined terms of geometry—points, lines, and planes—and how Euclid built the universe from them.
If a ladder slides down a wall, how fast does the bottom move? Using the Chain Rule implicitly with respect to Time to solve dynamic geometry problems.
The Visual Logic — converting a messy rectangle into a perfect square to solve equations and discover the Vertex.
The Visual Logic — converting a messy rectangle into a perfect square to solve equations and discover the Vertex.
The Algebra of Symmetry — mastering the shortcuts for Difference of Squares and Perfect Square Trinomials.
Rise over Run — understanding how we measure steepness, speed, and the rate at which the world changes.
The Fly on the Ceiling — how a sick philosopher in bed invented the modern world by combining algebra with geometry.