Study guides

Articles and tips for Mathematics, Physics, and English

Search study guides

Topic collections

Mathematics

20 guides

Step-by-step guides for algebra, geometry, trigonometry, calculus, sequences, probability, and common school exam topics.

Explore topic

Physics

15 guides

Clear explanations for motion, forces, energy, waves, electricity, circuits, magnetism, heat, and optics.

Explore topic

English

15 guides

Practical guides for essay structure, grammar, vocabulary, reading comprehension, evidence, analysis, and exam writing.

Explore topic

mathematicsfunctions+2

Active Lesson: Function Transformations and Inverses

A guided lesson that helps students discover shifts, stretches, composition, and inverse functions through activities.

Jun 8, 20268 min

mathematicslogarithms+2

Active Lesson: Logarithmic Functions

A discovery-based lesson on logarithms as inverse functions, log laws, and exponential equation solving.

Jun 8, 20269 min

mathematicspolynomials+2

Active Lesson: Polynomials and Rational Functions

A graph-first lesson on powers, polynomials, zeros, factors, rational functions, and asymptotes.

Jun 8, 202610 min

mathematicsfractions+2

Fractions to Equations: How to Stop Making Algebra Mistakes

A clear method for turning fraction problems into clean equations students can solve with confidence.

May 8, 20264 min

mathematicslinear equations+2

Linear Equations Explained for Beginners

Learn why linear equations are just balance problems and how to solve them without memorizing random rules.

May 7, 20264 min

mathematicsquadratic formula+2

The Quadratic Formula: When and Why to Use It

A practical explanation of the quadratic formula, the discriminant, and how to avoid sign errors.

May 6, 20264 min

mathematicsfactorising+2

Factorising Quadratics: A Simple Method That Actually Sticks

Understand factorising as reversing multiplication, with examples for common high-school quadratics.

May 5, 20264 min

mathematicssimultaneous equations+2

Simultaneous Equations: Substitution vs Elimination

Learn when to use substitution, when to use elimination, and how to check both answers.

May 4, 20264 min

mathematicsfunctions+2

Functions, Domain, and Range Explained Clearly

A student-friendly guide to understanding what inputs and outputs mean in function notation.

May 3, 20264 min