Math Lessons

Comprehensive lessons to help you master mathematical concepts for the EOG test.

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Functions & Slopes

Understanding functions, slopes, and linear relationships

Topics Covered:

  • Function Basics
    Learn what functions are and how to identify them.
  • Linear Functions
    Explore functions that form straight lines when graphed.
  • Slope-Intercept Form
    Understand the y = mx + b form of linear equations.
  • Point-Slope Form
    Learn how to write equations using a point and slope.
  • Graphing Functions
    Practice plotting functions on the coordinate plane.

Geometry & Measurement

Exploring shapes, angles, and measurements

Topics Covered:

  • Angles & Triangles
    Learn about different types of angles and triangle properties.
  • Pythagorean Theorem
    Understand the relationship between sides in a right triangle.
  • Volume & Surface Area
    Calculate measurements for 3D shapes.
  • Transformations
    Explore translations, reflections, rotations, and dilations.
  • Coordinate Geometry
    Apply geometric concepts on the coordinate plane.

Algebra & Equations

Solving equations and understanding algebraic concepts

Topics Covered:

  • Systems of Equations
    Solve problems with multiple equations and variables.
  • Exponents & Roots
    Work with powers, square roots, and other radicals.
  • Scientific Notation
    Express very large or small numbers efficiently.
  • Number System
    Understand different types of numbers and their properties.
  • Algebraic Expressions
    Simplify and evaluate expressions with variables.

Data & Statistics

Analyzing and interpreting data

Topics Covered:

  • Scatterplots
    Visualize relationships between two variables.
  • Line of Best Fit
    Find trends in data using linear regression.
  • Data Analysis
    Calculate and interpret statistical measures.
  • Statistical Measures
    Understand mean, median, mode, and standard deviation.
  • Probability
    Calculate the likelihood of events occurring.

Trigonometry

Understanding relationships between angles and sides of triangles

Topics Covered:

  • Trigonometric Ratios
    Learn about sine, cosine, and tangent in right triangles.
  • The Unit Circle
    Understand how trigonometric functions relate to the unit circle.
  • Trigonometric Identities
    Explore fundamental relationships between trigonometric functions.
  • Law of Sines & Cosines
    Solve non-right triangles using these important laws.
  • Applications of Trigonometry
    Apply trigonometric concepts to real-world problems.

Graphing & Visualization

Representing mathematical relationships visually

Topics Covered:

  • Coordinate Plane
    Plot points and graph relationships on the x-y plane.
  • Function Graphs
    Visualize different types of functions and their properties.
  • Data Visualization
    Create and interpret charts, graphs, and diagrams.
  • Transformations of Graphs
    Understand how equations change when graphs are transformed.
  • Technology Tools
    Use calculators and software to create mathematical visualizations.

Math Study Tips

Practice Regularly

Set aside time each day to practice math problems, focusing on areas where you need improvement.

Understand Concepts

Focus on understanding the "why" behind mathematical procedures, not just memorizing steps.

Use Visual Aids

Draw diagrams, graphs, or charts to visualize problems and make abstract concepts more concrete.

Review Mistakes

When you make errors, take time to understand what went wrong and how to solve similar problems correctly.