Math Lessons by Grade
Choose a grade to find lessons arranged around the ideas students usually meet at that stage. Start with a focused topic, follow the examples, and move to the next idea when the vocabulary feels comfortable.
Grade 1 through Grade 12
Grade 1
Grade 1 turns counting into useful arithmetic. Learners build fluency within 20, organize numbers into tens and ones, compare measurable objects, read simple data displays, and describe the shapes they see every day.
Open lessons →Grade 2
Grade 2 stretches place value to 1,000 and makes addition and subtraction more strategic. Students also work with equal groups, money, clocks, measurement tools, graphs, and the defining features of common shapes.
Open lessons →Grade 3
Grade 3 introduces multiplication and division as connected operations. Fractions, area, perimeter, scaled graphs, and shape classification give students several ways to reason about equal groups and equal parts.
Open lessons →Grade 4
Grade 4 brings larger numbers, multi-step problems, factors, fraction equivalence, decimals, angles, and unit conversion together. The emphasis shifts from getting an answer to explaining why a method works.
Open lessons →Grade 5
Grade 5 strengthens fraction and decimal computation while introducing volume, coordinate graphs, and numerical patterns. Students learn to connect procedures with visual models and check whether results are reasonable.
Open lessons →Grade 6
Grade 6 is the bridge into middle-school mathematics: ratios, rates, negative numbers, expressions, equations, statistical distributions, and geometric measurement all become tools for describing real situations.
Open lessons →Grade 7
Grade 7 centers on proportional reasoning. Rational-number operations, percent problems, equations, scale drawings, circles, sampling, and probability are developed through multi-step arguments rather than isolated rules.
Open lessons →Grade 8
Grade 8 connects linear algebra with geometry. Students compare functions, solve systems, use exponents and scientific notation, study transformations, and apply the Pythagorean Theorem to coordinate and measurement problems.
Open lessons →Grade 9
Grade 9 establishes the language of high-school mathematics through functions, equations, modeling, proof, coordinate geometry, and data analysis. Each topic asks students to move confidently among words, tables, graphs, and symbols.
Open lessons →Grade 10
Grade 10 develops deeper structure in quadratics, polynomials, similarity, trigonometry, circles, probability, and formal proof. Students learn to select a method instead of relying on one procedure for every problem.
Open lessons →Grade 11
Grade 11 extends function thinking to exponential, logarithmic, trigonometric, rational, and sequence models. Conics, vectors, complex numbers, and statistical inference prepare students for advanced analysis.
Open lessons →Grade 12
Grade 12 brings advanced functions, limits, vectors, three-dimensional reasoning, probability, and mathematical modeling into a college-preparation course of study focused on synthesis and independent problem solving.
Open lessons →