#### CORE: MATH

#### ALGEBRA 2 (1 Credit) – 2 Semester Course, 24 Weeks

**Prerequisites**: *Algebra I and Geometry.*

Students focus on mastery of a single skill, and then move on to learn new concepts, laying a foundation for ever-increasing levels of proficiency. Students will study concepts such as axioms, relations and functions, absolute value, graphs, linear equations, operations with polynomials, radical expressions, laws of radicals, quadratic equations and formulas, quadratic relations and systems, exponential functions, matrices, progressions, permutations, and probability.

**Materials Needed for this Course**:

- Alpha OmegaÂ LIFEPACÂ® Algebra II Set
- Graphing Calculator
- Graph Paper
- Pencil

**Syllabus:**

### SEMESTER 1

**SETS, STRUCTURE, AND FUNCTION**

â€¢ Properties and operations of sets

â€¢ Axioms and applications

â€¢ Relations and functions

â€¢ Algebraic expressions

**NUMBERS, SENTENCES, AND PROBLEMS**

â€¢ Order and absolute value

â€¢ Sums and products

â€¢ Algebraic sentences

â€¢ Number and motion problems

**LINEAR EQUATIONS AND INEQUALITIES**

â€¢ Graphs

â€¢ Equations

â€¢ Systems of equations

â€¢ Inequalities

**POLYNOMIALS**

â€¢ Multiplying polynomials

â€¢ Factoring

â€¢ Operations with polynomials

â€¢ Variations

**RADICAL EXPRESSIONS**

â€¢ Multiplying and dividing fractions

â€¢ Adding and subtracting fractions

â€¢ Equations with fractions

â€¢ Applications of fractions

### SEMESTER 2

**REAL NUMBERS**

â€¢ Rational and irrational numbers

â€¢ Laws of radicals

â€¢ Quadratic equations

â€¢ Quadratic formula

**QUADRATIC RELATIONS AND SYSTEMS**

â€¢ Distance formulas

â€¢ Conic sections

â€¢ Systems of equations

â€¢ Application of conic sections

**EXPONENTIAL FUNCTIONS**

â€¢ Exponents

â€¢ Exponential equations

â€¢ Logarithmic functions

â€¢ Matrices

**COUNTING PRINCIPLES**

â€¢ Progressions

â€¢ Permutations

â€¢ Combinations

â€¢ Probability

**ALGEBRA II REVIEW**

â€¢ Integers and open sentences

â€¢ Graphs and polynomials

â€¢ Fractions and quadratics

â€¢ Exponential functions

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