Matemáticas Básicas: Números y Álgebra

Numbers and Operations

• Types of Numbers:
  • Natural Numbers: 1, 2, 3, ...
  • Whole Numbers: 0, 1, 2, 3, ...
  • Integers: ..., -3, -2, -1, 0, 1, 2, 3, ...
  • Rational Numbers: fractions, decimals, percentages
  • Irrational Numbers: non-repeating decimals
  • Real Numbers: includes rational and irrational numbers
  • Complex Numbers: includes real and imaginary numbers

Algebra

• Variables and Expressions:
  • Variables: letters or symbols representing unknown values
  • Expressions: combinations of variables, numbers, and operations
  • Simplifying Expressions: combining like terms
• Equations and Inequalities:
  • Equations: statements with equal signs (=)
  • Inequalities: statements with greater than (>), less than (<), or equal to (=)
  • Solving Equations and Inequalities: finding the value(s) of the variable

Geometry

• Points, Lines, and Planes:
  • Points: locations in space
  • Lines: sets of points extending infinitely
  • Planes: flat surfaces
• Angles and Measurements:
  • Angles: formed by two rays sharing a common endpoint
  • Measuring Angles: degrees, minutes, seconds
  • Properties of Angles: supplementary, complementary, corresponding
• Shapes and Solids:
  • 2D Shapes: triangles, quadrilaterals, polygons, circles
  • 3D Shapes: pyramids, prisms, spheres, cylinders

Measurement and Data

• Units and Conversions:
  • Length: meters, centimeters, millimeters
  • Capacity: liters, milliliters
  • Mass: grams, kilograms
  • Time: seconds, minutes, hours
• Data Analysis:
  • Collecting and Organizing Data
  • Displaying Data: tables, graphs, charts
  • Interpreting Data: mean, median, mode, range

Other Topics

• Functions:
  • Domain and Range
  • Identifying and Graphing Functions
• Probability:
  • Basic Concepts: events, sample space, probability
  • Calculating Probability: experimental and theoretical

Números y Operaciones

• Tipos de Números:
  • Números Naturales: 1, 2, 3,...
  • Números Enteros: 0, 1, 2, 3,...
  • Números Enteros Relativos: ..., -3, -2, -1, 0, 1, 2, 3,...
  • Números Racionales: fracciones, decimales, porcentajes
  • Números Irracionales: decimales no repetitivos
  • Números Reales: incluye números racionales e irracionales
  • Números Complejos: incluye números reales e imaginarios

Álgebra

• Variables y Expresiones:
  • Variables: letras o símbolos que representan valores desconocidos
  • Expresiones: combinaciones de variables, números y operaciones
  • Simplificación de Expresiones: combinación de términos similares
• Ecuaciones e Inecuaciones:
  • Ecuaciones: declaraciones con signos de igualdad (=)
  • Inecuaciones: declaraciones con signos de mayor que (>), menor que (<)