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πŸ“ Math Study Notes

Not memorization β€” understand the why and the formula follows naturally

Every formula in math has a reason. Why does the quadratic formula work? Why is the derivative the slope of a tangent? When you understand the logic behind the formula β€” not just the formula itself β€” you can reconstruct it from scratch on any test.
πŸ“ New here? Start in this order
Arithmeticβ€Ί Fractionsβ€Ί Algebraβ€Ί Geometryβ€Ί Calculus Β· Core track, ~2 hrs total
Quick links: Fractions Algebra Geometry Statistics Calculus

🏫 Elementary & Middle School Math

Build a strong foundation with number sense, operations, fractions, and decimals.

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Arithmetic

Place value, addition, subtraction, multiplication, division, PEMDAS, factors, and multiples

Arithmetic = the foundation of all math β€” patterns behind the four operations
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Fractions, Decimals & Percents

Simplifying fractions, operations, conversions, ratios, proportions, and percent problems

Dividing fractions = multiply by the reciprocal β€” why flip?

πŸ“š High School Math

Algebra, geometry, and beyond β€” covering standard high school and AP-level content.

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Algebra

Linear equations, inequalities, systems of equations, quadratic equations, and polynomials

Algebra = balance scale β€” same operation on both sides keeps it equal
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Geometry

Angles, triangles, Pythagorean theorem, circles, 3D shapes, and coordinate geometry

Triangle angles sum to 180 degrees β€” proved by sliding angles to a line
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Statistics & Probability

Descriptive statistics, probability rules, distributions, and AP Statistics prep

Mean vs median β€” one billionaire changes the mean, not the median
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Calculus

Limits, derivatives, integration, and applications β€” AP Calculus AB/BC level

Derivative = instantaneous rate of change β€” slope of a curve

How to Use These Study Guides