Numbers, equations, and shapes
Strengthen number sense, fractions, ratios, equations, graphs, measurement, and proof—the language used by every later course.
Explore 8 high-school courses →Math lessons and practice for every level
Learn mathematics with every step connected. Understand the idea, study a worked method, use it in a visual or calculator, then prove you can do it independently. Start with arithmetic or move directly into high-school, AP, and university mathematics.
- 8
- connected subject guides
- 32
- focused concept lessons
- 215
- explained formulas
- 35
- high-school, AP, and university courses
Choose the idea you want to understand
Every subject page combines definitions, important relationships, worked methods, common mistakes, focused calculators, and questions that test real recall.
8 mathematics subjects
Foundations
Algebra
Equations, functions, polynomials, inequalities, and the structures behind them.
Learn algebra →
Advanced
Calculus
Limits, derivatives, integrals, series, and mathematical change.
Learn calculus →
Foundations
Geometry
Shapes, proofs, measurement, transformations, and coordinate reasoning.
Learn geometry →
Advanced
Trigonometry
Angles, triangles, identities, unit-circle thinking, and periodic models.
Learn trigonometry →
Data
Statistics
Distributions, inference, probability, regression, and honest interpretation.
Learn statistics →
Advanced
Linear Algebra
Vectors, matrices, transformations, eigenvalues, and systems.
Learn linear algebra →
Bridge
Precalculus
Functions, sequences, analytic geometry, and readiness for calculus.
Learn precalculus →
Foundations
Arithmetic
Number sense, fractions, decimals, percentages, ratios, and estimation.
Learn arithmetic →Follow a pathway instead of guessing what comes next
Mathematics is cumulative. A pathway makes prerequisites visible, but you can still enter at the first skill that feels uncertain.
Functions, data, and change
Use functions to connect algebra, trigonometry, precalculus, statistics, graphs, and real-world models before advanced study.
Prepare for 15 AP courses →Calculus, vectors, proof, and uncertainty
Move from computation to deeper mathematical structure through calculus, linear algebra, differential equations, probability, analysis, and proof.
Explore 12 university courses →A complete learning cycle
Reading alone creates familiarity. The full cycle turns that familiarity into a method you can select, complete, and explain without help.
Understand the concept
Begin with the definition. Identify the mathematical objects, what connects them, and the conditions that make the relationship true.
Open a subject guide →Study a worked method
Follow each decision in order: what is known, what is unknown, why the method applies, how values are substituted, and how the answer is checked.
See a worked lesson →Explore with a tool
Change one value at a time. A graph, construction, matrix, or focused calculator makes patterns and edge cases easier to see.
Browse free calculators →Retrieve and verify
Solve from a blank page, explain why your method fits, and review any wrong answer at the end of the set.
Choose practice questions →Learn at the level your course expects
The same idea becomes more precise as you progress. Choose a course level for an ordered unit roadmap, targeted practice, and a complete test.
Core sequence
High school mathematics
Pre-algebra through precalculus, geometry, modeling, and statistics, with prerequisite-aware course units.
View 8 courses →Exam preparation
AP mathematics and science
Course-specific unit review, formulas, diagnostics, exam strategy, study plans, practice, and tests.
View 15 AP courses →Advanced study
University mathematics
Calculus, linear algebra, differential equations, probability, statistics, numerical methods, analysis, and abstract algebra.
View 12 courses →Use the right resource for the job
You do not need the same kind of help at every stage. Choose the resource that matches what is stopping you now.
When you forgot a relationship
Formula library
Search 215 formulas with meanings, variables, conditions, and quick examples.
Find a formula →When you need to see behavior
Graphing calculator
Plot and compare equations, trace coordinates, inspect intersections, and test parameters.
Open the graph →When arithmetic hides the idea
Focused calculators
Use purpose-built tools that show the formula, result, verification, and detailed working.
Find a calculator →When you need independent recall
Practice library
Work by topic and difficulty, use a hint when needed, and review correct answers and mistakes.
Start a practice set →When your work is scattered
Math notebook
Keep calculations, explanations, notes, and revisions together in one study workspace.
Open your notebook →When an exam has a deadline
Study planner
Turn the time remaining into an ordered plan for diagnosis, repair, mixed practice, and review.
Build a study plan →Not sure where to begin?
Use the earliest statement you cannot honestly complete. That point is your current starting level—not a judgment about your ability.
Take a short practice set →- Start with arithmeticif fractions, percentages, ratios, signed numbers, or estimation interrupt later work.
- Start with algebraif rearranging equations, factoring, exponents, functions, or graphs are not yet automatic.
- Start with geometry or trigonometryif diagrams, similarity, coordinates, angles, or triangle relationships are the main obstacle.
- Start with precalculusif algebra is comfortable but function behavior, logarithms, sequences, or the unit circle need review.
- Start with calculus or statisticswhen the prerequisites are secure and your course asks about change, accumulation, data, probability, or inference.
Questions about learning mathematics
Use these answers to choose a productive next step without turning study into a wall of reading.
Where should I start learning mathematics?
Start with the earliest prerequisite you cannot explain or use without a hint. Arithmetic supports algebra; algebra and functions support trigonometry and calculus; those subjects support more advanced university mathematics.
Are the mathematics lessons and practice free?
Yes. Subject guides, formulas, calculators, practice sets, and course tests on MathGPT.now are free to use.
Should I read a lesson or practice questions first?
If a definition or method is unfamiliar, begin with the lesson and a worked example. If the topic is familiar, begin with a short practice set to identify the precise gap, then return to the relevant explanation.
How do calculators help me learn mathematics?
Use calculators to explore patterns, check arithmetic, and compare representations. You should still choose the method, show the reasoning, check its conditions, and explain what the result means.
Does this cover high school, AP, and university mathematics?
Yes. The learning library connects high-school pathways, AP exam preparation, and university courses to explanations, formulas, focused calculators, practice, and tests. You can also browse the <a href="/sitemap">complete HTML sitemap</a> when you need a specific course, lesson, calculator, or support page.
Should I read a lesson or go straight to practice?
Read the lesson when you cannot yet complete the method without prompting, and practise once you can. Practice is for making a method fast and automatic; it is a poor way to meet an idea for the first time.
In what order should I work through a subject?
Follow the order on the subject page, because each lesson assumes the one before it. If a lesson feels impossible rather than merely hard, the gap is almost always in its prerequisite, not in the lesson itself.
How do I know I have actually learned a topic?
Close the page and reproduce the worked example from a blank sheet, including the reason each step is allowed. Recognising a solution is not the same as being able to generate one, and only the second survives an exam.