Math Articles Directory
Browse our complete directory of 29 visual math guides and step-by-step lessons organized across 8 core categories.
Fractions & Mixed Numbers
Master proper & improper fractions, mixed numbers, equivalent fractions, simplification, and fraction arithmetic with visual pizza models.
- 01. Introduction to Fractions: What is a Fraction? (Visual Pizza Guide)
- 02. Proper Fractions, Improper Fractions, and Mixed Numbers
- 03. Equivalent Fractions: Why 1/2, 2/4, and 4/8 Are Equal
- 04. How to Simplify (Reduce) Fractions to Lowest Terms
- 05. Comparing Fractions: How to Tell Which Fraction is Larger
- 06. Least Common Denominator (LCD): How to Make Denominators the Same
- 07. How to Add Fractions (With Like & Unlike Denominators)
- 08. How to Subtract Fractions Step by Step
- 09. How to Multiply Fractions: Top Times Top, Bottom Times Bottom
- 10. How to Divide Fractions: The Keep, Change, Flip Method
- 11. Mixed Numbers Guide: How to Add, Subtract, Multiply & Divide Mixed Fractions
- 12. How to Convert Between Fractions, Decimals, and Percentages
Percentages & Ratios
Learn how to calculate percentages, solve percent increase & decrease problems, and simplify ratios and proportions.
Factors, GCF, LCM & Division
Find Greatest Common Factors, Least Common Multiples, prime factorizations, and master long division with remainders.
Algebra, Exponents & Roots
Understand exponents, powers, radicals, square roots, solving quadratic equations, factorials (n!), and logarithms.
Geometry & Triangles
Explore circle geometry (radius, diameter, circumference, area) and solve right triangles with the Pythagorean Theorem.
Trigonometry & Radians
Understand Sine, Cosine, and Tangent with SOH-CAH-TOA, unit circle angles, and converting degrees to radians.
Statistics & Combinatorics
Calculate Mean, Median, Mode, Range, and Standard Deviation, plus learn Permutations (nPr) and Combinations (nCr).
Base & Numeral Systems
Understand Binary (Base-2), Decimal (Base-10), Hexadecimal (Base-16), Octal (Base-8), and Roman Numerals.
Quick Memory Tricks & Master Formulas
Keep, Change, Flip (÷)
To divide fractions: Keep first fraction, Change ÷ to ×, and Flip second fraction upside down.
3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2Top × Top, Bottom × Bottom (×)
No common denominator needed! Multiply straight across the numerators and denominators.
2/3 × 4/5 = 8/15The MAD Method (Mixed to Improper)
Multiply whole by bottom, Add top, keep Denominator.
2 3/4 = (2×4+3)/4 = 11/4Percentage Change Formula
Always divide the difference by the original initial value, never the new value!
((New - Old) / Old) × 100%GCF × LCM Fundamental Law
The product of any two positive numbers equals the product of their GCF and LCM.
a × b = GCF(a, b) × LCM(a, b)The Quadratic Formula
Solves any equation \( ax^2 + bx + c = 0 \). Check discriminant \( b^2 - 4ac \).
x = (-b ± √(b² - 4ac)) / (2a)Pythagorean Theorem
In any right-angled triangle, hypotenuse c is calculated from legs a and b.
a² + b² = c² (c = √(a² + b²))Trigonometry (SOH-CAH-TOA)
Sine = Opp/Hyp, Cosine = Adj/Hyp, Tangent = Opp/Adj.
sin(30°) = 0.5 • cos(60°) = 0.5Was this lesson helpful?
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