Paramus Public Schools, Paramus, New Jersey
Algebra II Resource Room
COURSE OUTLINE
Department: Mathematics Date: March 2006
Course: Algebra II Resource Room
Level: 9, 10, 11, 12 Full Year
I. COURSE DESCRIPTION
This course reviews a more enhanced structure of algebra and the real number system. It applies the basic properties of algebraic to the study of equations, inequalities, and polynomials. There is extensive graphing of equations and inequalities as well as some discussion on the properties of exponents and radicals and their application to quadratic equations.
II. COURSE OBJECTIVES
The objective in this course is to develop and extend students’ knowledge of algebra through relationships with the real world. The instruction of the course will be adapted to the special needs of students in resource room.
III. MAJOR CONCEPTS AND TOPICS
1. Linear Equations and Inequalities in the Coordinate Plane (Review)
2. Systems of Linear Equations
3. Irrational Numbers and Radical Expressions
4. Geometry
5. Quadratic Equations
6. Powers, Roots, Radicals, Fractional Exponents
7. Trigonometry
IV. STUDENT SKILL OBJECTIVES
1. Linear Equations and Inequalities in the Coordinate Plane (Review)
a. The coordinate system
b. Graphing equations
c. Intercepts and slopes of lines
d. Writing linear equations
e. Graphing inequalities
2. Systems of Linear Equations
a. Parallel Lines and intersecting lines
b. Solving linear equations-Substitution and elimination
c. Graphing Systems of linear equations
d. Problem solving using linear equations
e. Matrices
3. Irrational Numbers and Radical Expressions
a. Rational Numbers and decimals
b. Rational number equivalents
c. Products, quotients, sums, and differences of Radicals
d. Radicals, fractions, and exponents
4. Geometry
a. Angles and Angle Measure
b. Pairs of lines in plane and in Space
c. Angle Measures in a triangle
d. Naming triangles
e. Quadrilaterals
f. Congruent and similar Triangles
g. Trigonometric ratios
5. Quadratic Equations
a. Solutions by factoring
b. Writing equations from their roots
c. Solving using the quadratic formula
d. Graphing quadratic Equations
6. Powers, Roots, Radicals, Fractional Exponents
a. Positive Powers
b. Negative Exponents
c. Roots and Powers
d. Operations with Radicals & radical equations
e. Radicals in fractions
f. Decimal expansions and rational numbers
7. Trigonometry
a. Trigonometric Ratios of the right Triangle
b. Degrees and Radians
c. Special Angles
d. Basic Ide4ntites
e. Arbitrary Triangles- Law of Sines and Cosines
f. Additional Identities