Math Lessons by Grade (Free PDF)
These free math lessons are organized by grade, from 1st grade to AP courses, and every page has a printable PDF.
One-page math lessons for every grade and course, each with key facts, a worked method and a printable PDF.
Math lessons by grade
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1st Grade math lessons
1st grade math builds number sense to 120: adding and subtracting within 20, word problems, place value with tens and ones, comparing two-digit numbers, measuring lengths with units, telling time to the half hour, and sorting shapes by their attributes.
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2nd Grade math lessons
2nd grade math covers adding and subtracting within 100 and 1,000, place value to the hundreds, skip counting, measuring in inches, feet, centimeters and meters, time to five minutes, money with coins and bills, picture and bar graphs, and equal shares of shapes.
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3rd Grade math lessons
3rd grade math introduces multiplication and division within 100, the properties of operations, rounding to the nearest 10 or 100, unit fractions and fractions on a number line, area and perimeter, time intervals, liquid volume and mass, and quadrilaterals.
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4th Grade math lessons
4th grade math centers on multi-digit multiplication and division, equivalent fractions, adding fractions with like denominators, decimals to hundredths, unit conversions, area and perimeter, angles measured in degrees, and classifying shapes by their lines and angles.
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5th Grade math lessons
5th grade math focuses on adding and subtracting fractions with unlike denominators, multiplying and dividing fractions, all four operations with decimals to hundredths, powers of ten, volume of rectangular prisms, the coordinate plane, and order of operations with parentheses and brackets.
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6th Grade math lessons
6th grade math introduces ratios, rates and percents, division of fractions by fractions, negative numbers and absolute value, the four-quadrant coordinate plane, expressions and one-step equations with variables, area, surface area and volume, and statistical thinking with dot plots, histograms and box plots.
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7th Grade math lessons
7th grade math focuses on proportional relationships and percent problems, operations with positive and negative rational numbers, multi-step equations and inequalities, scale drawings, circles, angles, surface area and volume, random sampling and probability models.
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8th Grade math lessons
8th grade math covers irrational numbers, integer exponents and scientific notation, linear equations and systems of two equations, functions and linear models, transformations, congruence and similarity, the Pythagorean Theorem, volumes of cylinders, cones and spheres, and scatter plots.
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Algebra 1 math lessons
Algebra 1 is the high school course on linear, exponential and quadratic functions: solving and graphing linear equations and inequalities, systems of equations, exponent rules, polynomial operations and factoring, solving quadratic equations, sequences, and summarizing one- and two-variable data.
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Geometry math lessons
High school Geometry studies rigid transformations and congruence, proofs about lines, angles, triangles and parallelograms, constructions, dilations and similarity, right triangle trigonometry, the Laws of Sines and Cosines, circles, coordinate geometry, and area and volume in modeling problems.
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Algebra 2 math lessons
Algebra 2 extends Algebra 1 to complex numbers, polynomial and rational functions, radical and rational equations, inverse, exponential and logarithmic functions, trigonometric functions on the unit circle, sequences and series, and statistics with the normal distribution and inference.
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Precalculus math lessons
Precalculus prepares calculus: functions and their transformations and inverses, polynomial and rational functions, exponential and logarithmic equations, the unit circle, trigonometric graphs and identities, vectors, polar form of complex numbers, sequences and series, conic sections and an introduction to limits.
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AP Calculus AB math lessons
AP Calculus AB follows the College Board course: limits and continuity, the derivative and its rules, the chain rule and implicit differentiation, related rates and optimization, the analysis of functions, antiderivatives and definite integrals, differential equations and applications of integration.
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AP Statistics math lessons
AP Statistics follows the College Board course: exploring one- and two-variable data, collecting data with samples and experiments, probability and random variables, sampling distributions, confidence intervals and significance tests for proportions and means, chi-square tests and inference for regression slopes.
How to use these math lessons
Choose the grade or the course, open a chapter and work on paper. Each chapter links its lesson, its worksheet with solutions, its test with an answer key and its quiz, so a student can review a topic from start to finish in one place.
Printing and PDF
Every page has a Download PDF button. The documents use US Letter paper and print well in black and white.