All Lessons

Master the foundation of calculus. Learn what limits are, how to compute them, and understand their graphical meaning.

Learn how to find derivatives using the fundamental definition. Understand instantaneous rates of change from the ground up.

Learn powerful shortcuts that make differentiation fast and easy. Master the power rule, constant rule, and sum/difference rules with interactive examples.

Master the second derivative for Grade 12 calculus. Learn what the second derivative tells us about concavity, rate of change of gradient, and more.

Learn how to use derivatives to analyze function behavior, find turning points, and determine where functions increase or decrease.

Master sketching cubic graphs for Grade 12 calculus. Learn to find intercepts, turning points, and points of inflection with interactive graph tools.

Master tangents and normals to curves. Learn how to find equations of tangents using derivatives, with interactive visualizations and practice.

Discover how calculus describes motion in the real world through an intuitive ball-throwing example that connects displacement, velocity, and acceleration.

Optimisation problems connect derivatives to real choices – from fuel-efficient driving to designing containers. Learn to solve real-world optimisation problems with intuitive explanations.

Everything you need to master Grade 12 Differential Calculus — all in one place. A comprehensive summary covering limits, derivatives, rules, applications, and more.

Master the foundation of calculus. Learn what limits are, how to compute them, and understand their graphical meaning.

Learn how to find derivatives using the fundamental definition. Understand instantaneous rates of change from the ground up.

Learn powerful shortcuts that make differentiation fast and easy. Master the power rule, constant rule, and sum/difference rules with interactive examples.

Master the second derivative for Grade 12 calculus. Learn what the second derivative tells us about concavity, rate of change of gradient, and more.

Learn how to use derivatives to analyze function behavior, find turning points, and determine where functions increase or decrease.

Master sketching cubic graphs for Grade 12 calculus. Learn to find intercepts, turning points, and points of inflection with interactive graph tools.

Master tangents and normals to curves. Learn how to find equations of tangents using derivatives, with interactive visualizations and practice.

Discover how calculus describes motion in the real world through an intuitive ball-throwing example that connects displacement, velocity, and acceleration.

Optimisation problems connect derivatives to real choices – from fuel-efficient driving to designing containers. Learn to solve real-world optimisation problems with intuitive explanations.

Everything you need to master Grade 12 Differential Calculus — all in one place. A comprehensive summary covering limits, derivatives, rules, applications, and more.

Master arithmetic sequences with visual pattern explorers, term builders, and real-world applications. Learn to identify patterns, find terms, and solve problems.

Explore geometric sequences with ratio explorers, multiplier labs, and compound interest planners. Understand growth patterns and exponential relationships.

Understanding the sum of sequences with sigma notation - the foundation for arithmetic and geometric series.

Master the art of summing arithmetic sequences using powerful formulas and clever techniques.

Sum sequences that grow (or shrink) by multiplication using powerful algebraic techniques.

Discover when adding infinitely many numbers gives a finite answer.