Integrals for Beginners
What an integral means, the basic integration rules, definite integrals and area, the Fundamental Theorem of Calculus, and u-substitution, with examples.
Study guides
Step-by-step guides to algebra, geometry, trigonometry, calculus, statistics and the SAT, with worked examples and practice problems. Plus study skills, and notes for teachers.
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Transformations of Functions, Without Plotting Points
How f(x) + k, f(x − h), −f(x), f(−x) and a·f(x) move a graph, why horizontal shifts look backwards, and how to combine transformations in order.
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Arithmetic and Geometric Sequences
The nth-term and sum formulas for arithmetic and geometric sequences, how to tell them apart, infinite geometric series, and worked examples.
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Probability Basics
Probability basics: complements, the addition and multiplication rules, conditional probability in two-way tables, counting and expected value.
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Adding, Subtracting, Multiplying and Dividing Fractions
A complete fraction refresher: simplifying, common denominators, mixed numbers, multiplying, dividing, comparing and converting, with worked problems.
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The Exponent Rules, and Why Each One Works
The product, quotient, power, zero, negative and fractional exponent rules, how to combine them, scientific notation, and the mistakes that cost points.
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Derivatives for Beginners
What a derivative measures, the limit definition, the power, product, quotient and chain rules, tangent lines and motion problems, with worked examples.
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What Is on Digital SAT Math, and How to Prepare
How the digital SAT Math section works, the four content areas and what each covers, timing, the built-in calculator, sample questions and an 8-week study plan.
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Percent Change, Discounts, Tax and Interest
The three kinds of percent problem, percent increase and decrease, discounts and tax, undoing a percent change, and simple and compound interest.
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Slope, and the Three Ways to Write a Line
Find slope from two points, write a line in slope-intercept, point-slope or standard form, and handle parallel and perpendicular lines, with worked examples.