COURSE DESCRIPTION:
The Algebra II discipline complements and expands the mathematical content and concepts of Algebra I and Geometry. It emphasizes finding solutions for and graphing, polynomial functions, inequalities, systems of equations, exponential and logarithmic functions, rational functions, trigonometric functions, and conic sections. We will also explore matrices, the complex number system and trigonometric relationships. Class activities will incorporate problem solving competencies in algebraic operations, communicating mathematical thinking, and modeling algebraic reasoning in real-life situations. Successful completion of Algebra II will prepare the student to take Pre-Calculus or Advanced Topics, determined by teacher recommendation.
Week 1 June 20- June 24
- Solving Equations and Inequalities
- Linear Relations and Functions
- Systems of Equations
b.) Solve systems of Linear Equations in three Variables
c.) Perform Basic Matrix Operations
d.) Multiply Matrices/ show calculator use
e.) Add, Subtract, multiply, divide, and factor polynomials (5.1-5.4)
f.) Simplify and solve equations involving roots, radicals, and rational exponents (5.5-5.8)
Week 2 June 27- July 1
a.) Perform operations with complex number (5.9)
b.) Quadratic Functions and Inequalities (ch 6)
- Graphing quadratic functions and inequalities
- Solving Quadratic equations graphing and algebraically (factor, CTS, QF)
c.) Polynomial Functions (ch 7)
- Graphing polynomial functions
- Solving Polynomial Functions using quadratic techniques, find zeros
-Basic Operations on Functions
-Square Root functions and Inequalities
Week 3 July 4- July 8 (note: No class on Monday July 4 )
a.) Rational Expressions and Equations (ch9)
- Rational expressions basic operations
- Graphing Rational Functions
- Solving Rational Equations and Inequalities
b.) Trigonometry Functions (ch 13)
- Right Triangle Trig
- Angle Measurements: ref/terminal angles, radian/degree
- 6 Trig Functions
Week 4 July 11- July 15
a.) Trigonometry Functions (ch 13)
- Law of Sines, Cosines
- Circular Functions
- Inverse Trig Functions (no graphing)
b.) Trig Graphs and Identities (ch 14)
- Graphing Functions/Translations
- Trig Identities
- Solving Trig Equations
Week 5 July 18- July 22
a.) Exponential and Logarithmic Relations (ch10)
- Exponential and Logarithmic Functions
- Properties of Logs
- Base e and Natural Logs
- Exponential Grows and Decay
b.) Review for final test
