Advanced Algebra & Trigonometry

Scope & Sequence

Semester 1 

Semester 2 

Chapter PExponents and Polynomials 

  • P.1 Laws of Exponents, Reducing Radicals 

  • P.2 Laws of Exponents, Reducing Radicals 

  • P.3 Polynomial Operations (add, subtract, multiply) 

  • P.4 Factoring 

Chapter 1: Essential Concepts in Algebra 

  • 1.1 Features of Graphs and Symmetry 

  • 1.2 Solving Equations 

  • 1.3 Mathematical Models, Ratios, and Percents 

  • 1.4 Quadratic Function 

  • 1.5 Complex Numbers 

  • 1.6 Using Your Calculator 

  • 1.7 Inequalities and Number Lines 

  • 1.8 Solving and Graphing Inequalities 

Chapter 2: Functions 

  • 2.1 Linear Equations 

  • 2.2 Defining and Evaluating Functions 

  • 2.3 Domain, Range, and Zeros 

  • 2.4 Parent Functions 

  • 2.5 Transformations and Piecewise Functions 

Chapter 3: Polynomials 

  • 3.1 Write Quadratic Equations Given Points 

  • 3.2 Vertices, Intercepts, Zeros, and End Behavior 

  • 3.3 Polynomial Long Division 

  • 3.4 Possible Roots; Synthetic Division 

  • 3.5 Possible Roots; Synthetic Division 

Chapter 5: Exponential and Logarithmic Functions 

  • 5.1 Exponential Functions 

  • 5.2 Applications of Exponentials, 

    e
    , and Logarithmic Functions 

  • 5.3 Properties of Logarithms 

  • 5.4 Exponential and Logarithmic Equations 

  • 5.5 Exponential and Logarithmic Models 

Chapter 6: Trigonometry 

  • 6.1 Angles and Their Measures 

  • 6.2 Right Triangle Trigonometry 

  • 6.3 Trigonometric Functions of Any Angle 

  • 6.4 Graphs of Sine and Cosine 

  • 6.5 Graphs of Other Trigonometric Functions 

  • 6.7 Applications and Models 

  • Additional Topics: Inverse Trigonometric Functions, Composition of Trigonometric Functions, Solving Triangles on the Coordinate Plane 

Chapter 8: Additional Topics in Trigonometry 

  • 8.1 Law of Sines (including the ambiguous case/SSA) 

  • 8.2 Law of Cosines 

  • Additional Topic: Area of Oblique Triangles 

Chapter 9: Systems 

  • 9.1 Linear and Nonlinear Systems 

  • 9.2 Two Variable Linear Systems (Elimination) 

  • 9.3 Multivariable Linear Systems 

  • 9.4 Systems of Inequalities 

Chapter 11: Sequences (OR replace with Chapter 10: Matrices) 

  • 11.1 Sequences 

  • 11.2 Arithmetic Sequences 

  • 11.3 Geometric Sequences