Study Guides

Interactive, theorem-based lessons with diagrams, worked examples, and practice problems.

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Geometry

Chapter 10: Circles

Master inscribed angles, angle & segment relationships, coordinate-plane equations, arc length, and sector area.

5 lessons·20 problems
Lesson 10.4: Inscribed Angles
Lesson 10.5: Angle Relationships in Circles
Lesson 10.6: Segment Relationships in Circles
Lesson 10.7: Circles in the Coordinate Plane
Lesson 10.8: Arc Length & Sector Area
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Physics

Physics: Mechanics

Master one-dimensional kinematics, Newton's laws of motion, work & energy, impulse & momentum, and rotational motion with step-by-step examples and practice problems.

5 lessons·20 problems
Lesson 1: One-Dimensional Kinematics
Lesson 2: Newton's Laws of Motion
Lesson 3: Work, Energy & Power
Lesson 4: Impulse & Momentum
Lesson 5: Rotational Motion & Torque
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Mathematics

Calculus

Master limits and continuity, the definition and rules of differentiation, applications of derivatives, and the Fundamental Theorem of Calculus with step-by-step examples and practice problems.

5 lessons·20 problems
Lesson 1: Limits & Continuity
Lesson 2: The Derivative
Lesson 3: Differentiation Rules
Lesson 4: Applications of Derivatives
Lesson 5: Integration
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Mathematics

College Number Theory

Explore divisibility and primes, modular arithmetic, the Euclidean algorithm, the Fundamental Theorem of Arithmetic, Euler's and Fermat's theorems, and their applications to cryptography.

5 lessons·20 problems
Lesson 1: Divisibility & Prime Numbers
Lesson 2: Modular Arithmetic & Congruences
Lesson 3: GCD, LCM & The Euclidean Algorithm
Lesson 4: The Fundamental Theorem of Arithmetic
Lesson 5: Euler's & Fermat's Theorems
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