Algebra Classes

Our Algebra classes curriculum is structured into three progressive levels: Beginning Algebra, Intermediate Algebra, and Advanced Algebra. Unlike traditional grade-based classes, our program is skills-based, allowing students to advance based on their mastery of concepts rather than their grade level.

Students in grades 6, 7, and 8 are eligible to enroll in Beginning Algebra. As with all our classes, the Algebra curriculum aligns with the Texas Essential Knowledge and Skills (TEKS) requirements for Math Grades 7-8 and Algebra 1 & 2. By completing these classes, students will not only meet but exceed Texas state standards for Algebra 1 and 2, building a strong mathematical foundation for future studies.

We take pride in providing a stronger foundation in mathematics by introducing concepts earlier than traditional curricula and reinforcing them over an extended period.

Our Approach: A Three-Year Algebra Classes Sequence

Our Algebra program spans three years, providing an uninterrupted progression of Algebra concepts unlike the traditional high school sequence that places Geometry between Algebra 1 and Algebra 2. This extended approach allows students to:

  • Develop a deeper understanding of Algebraic principles.
  • Strengthen fluency with key concepts essential for success in Precalculus and Calculus.
  • Improve retention and application skills, ensuring long-term success in advanced mathematics.

GAP Year Algebra Classes

For students who have already completed Algebra 1 and are currently enrolled in Geometry, we offer a GAP Year Algebra class. This class focuses on reinforcing Algebra 1 concepts while providing an introduction to Algebra 2. The goal is to ensure that students maintain their Algebra skills during the year they study Geometry, preventing learning gaps that could hinder their progress in higher-level math classes.

The “Geometry Gap”

Research and extensive anecdotal evidence from educators confirm that students frequently experience a significant decline in their algebra skills during the year they take geometry. This widely recognized issue, sometimes called the “geometry gap,” stems from the typical American high school math sequence, which postpones Algebra 2 for a full year.

This problem is a direct example of cognitive skill decay, often explained by the “forgetting curve,” where learned abilities fade without regular practice. This isn’t just a theory; the U.S. Department of Education’s National Mathematics Advisory Panel stressed this very point in its 2008 final report, noting that “a chief cause of failure in Algebra II is that students have not mastered the material from Algebra I.”

When students go a full year without practicing these foundational skills, they are forced to spend valuable time re-learning them in Algebra 2. This not only slows down the pace for the entire class but can also impact future success in math and on standardized tests like the SAT and ACT. Our GAP Year class is specifically designed to bridge this gap by keeping algebra skills sharp and ready for the next level.

Our Algebra classes are designed to build confidence, enhance problem-solving skills, and prepare students for higher-level mathematics. With a structured yet flexible approach, students can master Algebra at their own pace while ensuring they are well-equipped for advanced math classes in high school and beyond.

Algebra Classes - kids are engaging in solving math problems

Beginning Algebra

  • Numerical and algebraic expressions

    • Evaluating expressions
    • Manipulating algebraic expressions
  • Linear equations with one variable
  • Functions and their representations
  • Graphing linear functions
  • Basic statistics: mean, mode, range
  • Exponents and exponent rules
  • Monomials, binomials, and polynomials
  • Special algebraic identities
    • Square of the difference formula
    • Sum and difference of squares formula
    • Sum and difference of cubes formula
  • Factoring techniques
  • Introduction to quadratic equations
  • Systems of linear equations and inequalities
  • Application problems: word problems involving real-world contexts

Intermediate Algebra

  • Fractions with variables and algebraic fractions
  • Manipulation and conversion of linear equations
  • Real numbers: rational and irrational numbers
  • Radicals and radical expressions
  • Quadratic equations and their solutions
  • Quadratic functions and their graphs
  • Inequalities and systems of inequalities
  • Special functions
  • Introduction to statistics and probability
  • Advanced word problems (e.g., speed, productivity, and efficiency)

 

Advanced Algebra

  • Comprehensive study of functions:
    • Quadratic functions
    • Linear functions
    • Exponential functions
    • Logarithmic functions
  • Key function characteristics:
    • Increasing and decreasing functions
    • Maximum and minimum values
    • Odd and even functions
  • Graphing all types of functions (without the use of graphing calculators like Desmos)
  • Quadratic equations and systems of equations
  • Inequalities and systems of inequalities
  • Elements of statistics and probability
  • Introduction to logarithms
  • Matrices and their applications
  • Advanced word problems: speed, productivity, mixture problems

GAP Year Algebra

  • Linear equations
  • Fractions and algebraic fractions
  • Exponents and exponent rules
  • Radicals and radical operations
  • Operations with polynomials
  • Special algebraic identities:
    • Square of the difference formula
    • Sum and difference of squares formula
    • Sum and difference of cubes formula
  • Quadratic equations and their applications
  • Advanced word problems (distance, speed, productivity, and mixture problems)
  • Systems of equations
  • Introduction to different types of functions (linear, quadratic, and special functions)

Set your child up for success with North Texas Math! Our small group classes introduce advanced concepts early, build real understanding, and boost confidence — grades 1–10. Enroll today!

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