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Nice work. Let’s do a quick recap you can listen to right after practice. First, the big idea: fractions, decimals, and percents are three outfits for the same number. If you can switch outfits, you can choose the form that’s easiest for the job. Here are the conversion pathways, in about one minute. Fraction to decimal: divide the top by the bottom. For example, three over four is three divided by four, which is 0.75. Decimal to percent: move the decimal two places to the right and add the percent sign. So 0.75 becomes 75 percent. Percent to decimal: move it two places to the left. So 75 percent becomes 0.75. Decimal to fraction: write it over a power of ten and simplify. So 0.75 is 75 over 100, which simplifies to 3 over 4. Percent to fraction: put it over 100 and simplify. So 30 percent is 30 over 100, which is 3 over 10. Fraction to percent: either convert to a decimal first, or make an equivalent fraction out of 100. Like one half is 50 over 100, so it’s 50 percent. Now, a super important reminder: units are part of the number. They’re not decoration. They change what the number means. Quick example: 3 dollars is not the same as 3 cents. Same “3,” totally different value. If you mix units, your math gets grumpy. Before you move on to proportions, use this quick three-item checklist. One: What exactly is the “whole”? Say it out loud. The whole pizza? The whole class? The whole dollar? Two: Are the units the same on both sides? If not, convert the units first. Dollars to cents. Minutes to seconds. Percent to decimal. Whatever you need. Three: Pick the most helpful form for comparing. Fractions for exact parts, decimals for quick size on a number line, percents for “out of 100” thinking. And one reflective question for you: when you compare two values, which form feels easiest for you—fraction, decimal, or percent—and why? Keep that answer in mind. It’s your personal math superpower.

Course

Foundations of Trigonometry (Precalculus/Applied)

10 units50 lessons

Topics

Mathematics (Precalculus/Trigonometry)GeometryApplied MathematicsPhysics (introductory modeling)Engineering Fundamentals (vectors/measurement applications)

About this course

This course builds trigonometry fluency from fundamentals to confident precalculus-level problem solving. It develops angle measure in degrees and radians (including conversions, arc length, and sector area), right-triangle trigonometry and modeling, and unit-circle definitions with exact special-angle values and sign analysis. It connects trig functions to graphs and transformations (amplitude, period, phase/vertical shifts), introduces inverse trig with domain/range interpretation, and practices core identities for simplification and verification. It also covers solving common trig equations, Law of Sines/Cosines for non-right triangles, and applications such as heights/distances, bearings, vectors, and periodic phenomena.