What is an algorithm? Examples of K-College math algorithms

Algorithm is another word for approaching problems in a step-by-step fashion. An algorithm is basically a procedure to systematically solve problems.

In K–12 math education, algorithms play a key role in teaching students how to systematically approach problem-solving. They provide structured methods for performing calculations, solving equations, and reasoning logically. Below is an overview of how algorithms appear across different educational levels:

Examples of K–12 Math Algorithms

Elementary School (K–5) Basic Arithmetic Algorithms for:

• Addition and subtraction with carrying/borrowing

• Multiplication using long multiplication

• Division using long division

• Place Value: numbers in base 10

• Algorithms for Finding Factors & Multiples


Middle School (6–8) Basic Math Algorithms for:

Fractions, Decimals, and Percents

Basic Algebra Algorithms:

Signed numbers

Order of Operations (PEMDAS)

Variables

Expressions

Solving linear equations,

• Basic Geometry Algorithms:

Perimeter, Area, Volume


High School (9–12) Algebraic Algorithms for:

• Solving quadratic equations

• Polynomial division (long and synthetic division)

• Systems of equations


• Geometric Algorithms:Parallels & Quadrilaterals, Polygons & Similarity, Circles & Right Triangles, Area & Surface Area, Volume & Practical Applications, Coordinate Geometry & Transformations


Advanced Math Algorithms:

• Analytic Geometry

• Exponents & Logs

• Series & Sequences

• Matrices & Determinants


Calculus Algorithms:

• Calculation techniques for:

Limits, Continuity, Differentiation

• Finding first & second Derivatives

• Integration methods

• Finding intercepts, asymptotes, transformations

Original article located at: https://conta.cc/4hXZ2Q3