Advanced Algebra with Trig

 

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Advanced Algebra Textbook

 

Advanced Algebra with Trig is a course consisting of 10th, 11th, and 12th graders who have passed Algebra and a Geometry course.  This is an accelerated class that is similar to Advanced Algebra, but covers the topics at a faster rate and introduces the concepts of trigonometry.  A graphing calculator is recommended for this course (Texas Instrument 83 model or Texas Instrument 84 model).  Below is a list of the major topics covered in Advanced Algebra with Trig.

 

  • Linear equations – how to graph and write linear equations, and where linear equations are used in the real world.
  • Systems of linear equations – how to solve systems of linear equations using graphing, substitution and linear combination.
  • Matrices – how to solve systems of linear equations by using matrices.
  • Quadratic equations – how to graph quadratic equations and solve quadratic equations using factoring, completing the square and the quadratic formula.
  • Solving polynomial functions – how to solve polynomial functions by using different types of factoring, find the zeros of a function and write a function given the zeros of the function.
  • Rational exponents and roots – properties of rational exponents and roots, and how to solve equations involving rational exponents and roots.
  • Exponential functions – applications of exponential functions (compound interest and exponential decay), logarithms, and how to solve exponential and logarithmic equations.
  • Rational expressions and equations – how to add, subtract, multiply and divide rational expressions and how to solve rational equations.
  • Conic sections – how to graph conic sections (parabola, circle, ellipse and hyperbola), and write equations for conic sections.
  • Trigonometric functions – what are the trig functions, graphing trig functions, verifying trig identities and solving trig equations.

Copy of Advanced Algebra with Trig Syllabus

 

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