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Algebra 2 (Period 5)

Course Description

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Textbook

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Unit 1-1: Algebra Properties
Unit 1-2: Linear Functions
Unit 1-3: Linear Algebra
Unit 2-1: Quadratic Functions
Unit 3-1: Radical Equations
Unit 3-2: Exponential and Logarithmic Equations
Unit 4-1:
Unit 4-2:

Course Description

Prerequisite: Algebra I
Co-requisite: None

Students will learn:

  • How to solve systems of equations with two or three variables.
  • About matrices and complex numbers.
  • Advanced factoring techniques such as completing the square.
  • Graphs and features of quadratics, and how to mentally and graphically identify conic sections.
  • About logarithmic functions, growth and decay problems.
  • About permutations, combinations, and series.

Reasoning and problem solving skills are again emphasized through the extensive use of real world examples and problems. Students will also learn how to use Microsoft Excel to create simple programs, solve problems, and fit data.

Course Materials:
California Algebra 2. Bellman, Bragg, Charles, Hall, Handlin, Kennedy. 2008. Pearson Prentice Hall.

Essential Standards

Algebra Properties Students can identify and apply number properties such as the multiplicative identity, distributive, and transitive properties.
Inequalities, Absolute Value Students can solve equations and inequalities involving absolute value.
Functions, Graphs, Equations Students solve systems of linear equations and inequalities (in two or three variables) by substation, elimination, and graphically.
Linear Algebra Students continue to solve linear system in two or three variables. They use matrix row operations including a reduction to row-echelon form, augmentations, determinants, Cramer’s Rule, and inverses.
Complex Numbers Students can work with complex numbers arithmetically and graphically.
Quadratic Solutions Students solve and graph quadratic equations by factoring, completing the square, or using the quadratic formula.
Polynomial Solutions Students can factor, solve, or expand polynomials using Sum and Difference of Cubes, Rational Root Theorem, Polynomial Long Division w/ Fundamental Theorem of Algebra, Perfect square trinomials, Irrational Root Theorem, Substitution, and methods for solving quadratics. Students can graph the outcomes using T-table plug’n’chug or roots.
Statistics and Probability 1 Students differentiate between independent and dependent events. Students can compute probabilities, odds, permutations, and combinations from word problems.
Rational Exponents Students know the laws of fractional exponents and solve functions graphically and arithmetically, including problems involving inverse functions.
Exponential and Logarithmic Functions Students understand and use the properties of logarithms and exponents to simplify expressions, solve problems, identify their approximate values, or graph them, including problems involving growth or decay.
Rational Functions Students evaluate/simplify rational expressions with monomial and polynomial denominators, and approximate values near asymptotes and discontinuities.
Conic Sections Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes foci, eccentricity) depends on the coefficients of the quadratic equation representing it.
Series and Sequences Students derive the summation formulas for arithmetic series and for both finite and infinite geometric series.
Statistics Probability 2 Students understand the difference between independent and dependent events, and can compute probabilities, odds, permutations, and combinations from word problems.

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