Phineas Banning High School

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Algebra 2

Course Description

Algebra 2a Course Outline
 
Unit 1: Expressions, Simple Equations, Inequalities and Absolute Value (1)
 
7 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 1.0, 25.0
 
1.1 Simplifying and Evaluating Expressions
1.2 Solving Equations in One Variable
1.3 Solving Inequalities in One Variable
1.4 Solving Combined Inequalities
1.5 Solving Absolute Value sentences
 

Unit 2: Linear Equations and Inequalities plus Systems of Equations (5)
 
12 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 2.0
 
2.1 Graphs of Linear Equations in Two Variables
2.2 Systems of Equations in Two variables: method: a. graphing
                                                                                   b. substitution
                                                                                   c. linear combination
2.3 Problem Solving using Systems of Equations
2.4 Linear Inequalities in Two Variables
2.5 Systems of Equations in Three Variables
 

 
Unit 3: Functions and Operations on Polynomials (5)
 
10 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 3.0, 24.0
 
3.1 Finding Values and Composition
3.2 Adding and Subtracting Polynomials
3.3 Multiplying Monomials (using laws of exponents when multiplying)
3.4 Multiplying Polynomials
3.5 Polynomial Long Division
3.6 Synthetic Division
 

 
Unit 4: Factoring (3)
11 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 4.0
 
4.1 Factoring method: a. common factors
                                    b. trinomials (trinomial squares) & grouping
                                    c. difference of squares
                                    d. sums and difference of cubes
4.2 Problem Solving using Factoring (Polynomial Equations)
4.3 Graphing Quadratics using roots/zeros and y-intercept
 

 
Unit 5: Rational Expressions (6)
 
13 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 7.0, 15.0
 
5.1 Quotients of Monomials (using laws of exponents when dividing)
5.2 Zero and Negative Exponents
5.3 Simplifying Rational Algebraic Expressions
5.4 Multiplying and Dividing Rational Expressions
5.5 Adding and Subtracting Rational Expressions
5.6 Complex Fractions
5.7 Solving Rational Equations
 

 
Unit 6: Irrational and Complex Numbers (5)
 
13 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 5.0, 6.0, 15.0
 
6.1 Simplifying Radicals
6.2 Operations (+, -, ∙, ÷) on Radicals
6.3 Binomials containing Radicals (conjugate)
6.4 Solving Radical Equations
6.5 The Imaginary Number i
6.6 Operations (+, -, ∙, ÷) on the Complex Numbers
6.7 Graphing Complex Numbers
 

**Notice we will begin this unit in the fall semester and finish this unit in the spring semester. So material from this unit will not be on the fall semester final but on the spring semester final. Also the unit exam for this unit will take place early in the spring semester!
 
Unit 7: Quadratic Equations, Functions and their Graphs (10)
 
14 days + 1 day for test
 
CALIFORNIA CONTENT STANDARDS: 8.0, 9.0, 10.0
 
7.1 Solving Quadratic Equations: method a. factoring
                                                                 b. completing the square
                                                                 c. quadratic formula
7.2 Writing Quadratic Functions
7.3 Graphing Parabolas of the form y – k = a(x – h)²
7.4 Quadratic Functions (max/min)
7.5 Problem Solving using Quadratic Functions