United States — Maths
Common Core State Standards (CCSSM)
Most US states follow the Common Core State Standards for Mathematics (or a closely aligned state standard). Grades 1–8 are organised by domain; high school commonly follows the traditional pathway — Algebra 1, Geometry, Algebra 2 — then Pre-Calculus and AP Calculus (AB/BC).
63 topics — click any topic for a full virtual lesson with worked examples.
✓ Verified against the official syllabus. Common Core State Standards for Mathematics (K–8 by domain; high-school traditional pathway + AP Calculus).
Grade 1
Grade 1
Addition & subtraction within 20, place value to 120, measurement and basic shapes.
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement & Data
Grade 2
Grade 2
Addition & subtraction within 100, place value to 1000, measurement and data.
Operations & Algebraic Thinking
Number & Operations in Base Ten
Measurement & Data
Grade 3
Grade 3
Multiplication & division within 100, fractions, area, and data.
Operations & Algebraic Thinking
Number & Operations — Fractions
Measurement & Data
Grade 4
Grade 4
Multi-digit arithmetic, fraction equivalence & operations, factors/multiples, angles.
Operations & Algebraic Thinking
Number & Operations in Base Ten
Number & Operations — Fractions
Measurement, Data & Geometry
Grade 5
Grade 5
Decimal place value, fraction operations, volume, and the coordinate plane.
Number & Operations in Base Ten
Number & Operations — Fractions
Measurement & Data
Grade 6
Grade 6
Ratios & rates, division of fractions, negative numbers, expressions & equations, statistics.
Ratios & Proportional Relationships
The Number System
Expressions & Equations
Grade 7
Grade 7
Proportional relationships, operations with rational numbers, linear expressions, probability.
Ratios & Proportional Relationships
Expressions & Equations
Grade 8
Grade 8
Linear equations & functions, systems, exponents & scientific notation, Pythagorean theorem.
Number System & Expressions/Equations
Algebra 1
Algebra 1
Linear, exponential and quadratic functions; equations, inequalities and systems.
Algebra 1 (HS pathway)
- 📖→Linear equations & inequalitiesSolving & graphing · Systems
- 📖→Functions & sequencesFunction notation · Arithmetic & geometric sequences
- 📖→Exponential functionsGrowth & decay · Exponent rules
- 📖→Quadratic functions & equationsFactoring · Quadratic formula · Graphing parabolas
- 📖→Descriptive statisticsData distributions · Two-way tables
Geometry
Geometry
Congruence, similarity, right-triangle trigonometry, circles, and coordinate proofs.
Geometry (HS pathway)
- 📖→Congruence & transformationsRigid motions · Triangle congruence proofs
- 📖→Similarity & right trianglesSimilar triangles · Right-triangle trigonometry
- 📖→CirclesArcs & angles · Equations of circles
- 📖→Coordinate geometryDistance & slope proofs · Partitioning segments
- 📖→Area & volumeArea & perimeter · 3D volume & cross-sections
Algebra 2
Algebra 2
Polynomial, rational, radical, exponential, logarithmic and trigonometric functions.
Algebra 2 (HS pathway)
- 📖→Polynomial functionsOperations · Factoring · Complex numbers
- 📖→Rational & radical functionsRational expressions · Radical equations
- 📖→Exponential & logarithmic functionsLogarithms · Solving exp/log equations
- 📖→Trigonometric functionsUnit circle · Graphs · Identities
- 📖→Statistics & probabilityNormal distribution · Inference basics
Pre-Calculus
Pre-Calculus
Advanced functions, trigonometry, vectors, sequences & series — preparation for calculus.
Pre-Calculus
- 📖→Functions & their graphsTransformations · Inverse & composite functions
- 📖→TrigonometryTrig identities · Law of sines & cosines · Polar coordinates
- 📖→Vectors & matricesVector operations · Matrix operations
- 📖→Sequences, series & limitsArithmetic/geometric series · Intro to limits
- 📖→Conic sectionsParabola, ellipse, hyperbola
Calculus AB
Calculus AB
AP Calculus AB: limits, derivatives, and integrals with applications.
Calculus BC
Calculus BC
AP Calculus BC: all of AB plus series, parametric/polar, and advanced integration.
AP Calculus BC
Ready to practise?
Snap a problem from any topic above
Step-by-step solutions in United States-style notation. Free trial, no signup needed.