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Algebra II Curriculum
| Week |
Topics |
| 1 |
Introduction to Functions: Relations and Functions, Domain and Range, Function Notation, Inverse Functions, Compound Functions |
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Forms and Graphs of Linear Equations, Linear Inequalities, Piecewise Defined Functions, Absolute Value |
| 2 |
Solving Systems of Equations: Graphic Solutions, Methods of Substitution and Elimination, Introduction to Matrices: Converting Systems and Matrices, Solving Matrices with a Graphing Utility, Matrix Addition, Matrix Multiplication, Inverse Matrix |
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Systems of Inequalities: Objective Function and Restraints, Graphic Solutions, Analyzing Results |
| 3 |
Graphing Parabolas: Vertex, Axis of Symmetry, Standard Form, Factoring Quadratics, Simplifying Irrational ExpressionsTriangles; Ratio and Proportion; Similar Polygons; Similar Triangles; Graphing Inequalities. |
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Analyzing Quadratic Equations: The Discriminant and Solution Types; Complex Solutions: Simplifying Complex Expressions, Standard Form of Complex Numbers, Vertex Form: Completing the Square, Vertex Form |
| 4 |
Factoring Polynomials: Factor by the GCF, Factor the Sum or Difference of Cubes, Factor by Grouping, Polynomial Long Division, Synthetic Division |
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Finding Solutions for Polynomial Equations, Finding Zeros of a Polynomial: Real and Imaginary |
| 5 |
Introduction to Exponentials: Graphing, Growth and Decay, Domain and Range, Evaluating Exponential Expressions, Definition of Logarithms |
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Evaluating Exponentials and Logarithms: Laws of Logarithms, Inverse Exponential and Logarithmic Functions |
| 6 |
Identifying Conic Sections, Parabola: Directrix and Forms, Hyperbolas: Center, Foci, Symmetry, Transverse and Conjugate Axes, Asymptotes, Graphing |
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Circles and Ellipses: Radius, Center, Axes, Equation Forms, Graphing |
| 7 |
Introduction to Sequences and Series, Arithmetic and Geometric Sequences and Series |
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Infinite Series: Sums, Recursively and Explicitly Defined Functions |
| 8 |
Review and Test |
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