Power, product, quotient, and chain rules for differentiating algebraic and transcendental functions. Strengthens skills in implicit differentiation and trigonometric derivatives for modeling rates of change.
A comprehensive two-page calculus worksheet on differentiation rules, tangent lines, and instantaneous rates of change with dedicated student workspace and analytical problem solving.
A comprehensive prep sequence for the most challenging questions on the ACT Math and Science sections. It focuses on high-level conceptual blueprints for math topics like complex numbers and matrices, alongside speed-reading and data-interpretation strategies for the Science section.
A diverse collection of resources spanning high-level mathematics and early literacy, providing targeted practice for trigonometric derivatives and foundational letter formation.
This sequence explores numerical analysis through the lens of sequences, focusing on iterative methods to approximate solutions to complex equations. Students investigate fixed-point iteration, Newton's method, convergence rates, and the transition into chaotic behavior.
A comprehensive unit for 12th Grade Calculus students focusing on the derivation and application of derivatives in polar coordinates. Students transition from Cartesian slope to polar slope, analyze horizontal and vertical tangency, investigate behavior at the pole, and solve optimization problems involving polar curves.
A comprehensive unit on parametric equations and their applications in modeling motion. Students move from the basics of parametric curves to advanced calculus concepts like derivatives, concavity, vectors, and arc length.
An advanced 11th-grade Calculus unit focusing on the integration of parametric and polar coordinate systems. Students analyze motion, calculate complex areas, perform error analysis, and complete a final synthesis project based on particle kinematics.
A specialized AP Calculus lesson exploring the unique geometric and analytical properties of Euler's number. Students use graphing software to discover why e is the unique base where the function's height, slope, and area under the curve are identical.
A high-speed review of logarithmic expansion properties designed to build the algebraic fluency required for Calculus. Students learn to recognize patterns in complex rational expressions to expand logs instantly, facilitating easier differentiation and integration.
This lesson focuses on calculating the difference quotient for radical functions using the conjugate method. It includes a conjugate warm-up, guided video notes for a complex radical example, a collaborative group relay activity, and a conceptual preview of derivatives.
An 11th-grade honors lesson connecting the limit definition of the derivative to instantaneous velocity through rocket launch simulations. Students will analyze height functions to determine peak altitude and impact force.
