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COURSE OUTLINE FOR ALGEBRA II

COURSE OUTLINE:

I.
 
Tools of Algebra (14 days)
 
10.N.1, 10.N.2, 10.P.6,
12.P.8
  A. Algebraic Expressions
B. Solving Equations
C. Solving Inequalities
D. Absolute Value Equations and Inequalities
 
II.
 
Functions, Equations, & Graphs (15 days)
 
10.P.1, 10.P.2, 10.P.7,
10.G.7, 10.G.8, 10.D.1,
  A. Relations and Functions
B. Function Operations
C. Linear Equations
D. Using Linear Models
E. Absolute Value Functions & Graphs
F. Two - Variable Inequalities
12.P.8, 12.P.11, AI.P.3
AI.P.4
 
III. Solving Systems (12 days) 10.P.8, 12.P.8, 12.P.10
  A. Graphing Systems of Equations
B. Solve Systems Algebraically
C. Systems of Inequalities
D. Problem Solving with Systems
 
IV. Matrices and Determinants (15 days) 12.P.9
  A. Organizing Data Into Matrices
B. Addition and subtraction of matrices
C. Matrix multiplication
D. 2 x 2 Matrices, Determinants, & Inverses
E. Graphing Calculator Matrix Operations
F. Inverse Matrices & Systems for 2x2
G. Cramer’ s Rule
 
V.
 
Quadratic Equations & Functions (16 days)
 
10.N.1, 10.P.1, 10.P.4, 10.P.5,
10.P.7, 10.D.1, 12.N.1, 12.P.7
  A. Modeling Data with Quadratic Functions
B. Properties of Parabolas
C. Translating Parabolas
D. Factoring Quadratic Expressions
E. Quadratic Equations
F. Complex Numbers
G. Completing the Square
H. Quadratic Formula
12.P.8, 12.P.11
 
VI. Rational Equations (7days) 10.P.3, 10.P.4
  A. Simplifying Rational Expressions
B. Addition and Subtraction of Rational Expressions
C. Solving Rational Equations
 
VII.
 
Polynomials & Polynomial Functions (7 days)
 
10.N.2, 10.P.1, 10.P.3, 10.P.4,
10.P.7, 12.P.8, 12.P.11, 12.P.13
  A. Polynomial Functions
B. Polynomials & Linear Factors
C. Dividing Polynomials
 
VIII. Review, Midterm and Final (4 days)  

SUGGESTED INSTRUCTIONAL STRATEGIES:

1. Lecture
2. Oral classroom practice
3. Written exercises
4. Group Work
5. Projects
6. Use of a variety of questioning techniques
7. Board Work
8. Scientific Calculator Activities
9. Graphing Calculators

SUGGESTED INTERGRATED ACTIVITIES:

1. Geometry based quadratic equation word problems
2. Scientific variation word problems

USE OF TOOLS/TECHNOLOGY:

1. Use of overhead projector
2. Use of scientific calculators

ASSESSMENT TECHNIQUES:

1. Students will take free-response performance tests
2. Students will answer questions orally
3. Students will do written presentations at the board
4. Homework evaluation
5. Students will work in cooperative groups and report their results
6. Students will participate in classroom discussions

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