ALGEBRA I ACADEMIC LIBRARY
Second Semester
Algebra I Online Second Semester
UNIT 7 – POLYNOMIALS
- Adding and Subtracting Polynomials
- Grouping Symbols
- Quiz 1: Adding and Subtracting Polynomials
- Multiplying by a Monomial
- Multiplying Polynomials
- F.O.I.L. and Special Cases
- Dividing by a Monomial
- Long Division
- Quiz 2: Multiplying and Dividing Polynomials
- Greatest Common Factor
- Factoring Out the GCF
- Factoring by Grouping
- Factoring Trinomials (1)
- Factoring Trinomials (2)
- Special Cases
- Complete Factorization
- Quiz 3: Factoring Polynomials
- Review
- Test
- Alternate Test
UNIT 8 – EXPONENTIAL AND RADICAL FUNCTIONS
- Negative Exponents
- Exponential Expressions
- Exponential Functions
- Scientific Notation
- Applications of Exponential Functions
- Quiz 1: Evaluating Exponential Expressions
- Multiplication
- Raising to a Power
- Division
- Geometric Sequences
- Geometric Sequences 2
- Quiz 2: Properties of Exponents
- Simplifying Radicals
- Multiplying Radicals
- Dividing Radicals
- Adding and Subtracting Radicals
- Radical Equations
- Graphing Radical Functions
- Quiz 3: Radical Functions
- Review
- Test
- Alternate Test
- Glossary and Credits
UNIT 9 – QUADRATICS
- Pythagorean Theorem
- Distance
- Systems of Linear and Exponential Equations
- Midpoint
- Quiz 1: Formulas
- Quadratic Functions
- Transformations: Quadratics
- Transformations: Exponential Functions
- Line of Symmetry
- Quadratic Inequalities
- Quiz 2: Graphing Quadratic Functions
- Solving by Factoring
- Square Root Method
- Applications of Quadratics – Use your lesson on Quadratics to complete this lesson over the applications of quadratics
- Rate of Change
- Completing the Square (1) –Use the following instructional presentations for both assignments on Completing the Square
- Completing the Square (2)
- Quadratic Formula (1)
- Quadratic Formula (2)
- Systems of Equations
- Comparing Functions
- Function Composition
- Quiz 3: Solving Quadratic Equations
- Review
- Test
- Alternate Test
- Glossary and Credits
UNIT 10 – RATIONAL EXPRESSIONS
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting with Like Denominators
- Adding and Subtracting with Unlike Denominators
- Quiz 1: Operations with Rational Expressions
- Proportions
- Using the LCD
- Complex Fractions – Exercises
- Inequalities (The student will use the video presentation directly in the lesson for this work)
- Applications of Rational Equations
- More Problems
- Quiz 2: Rational Equations and Inequalities
- Review
- Test
- Alternate Test
- Glossary and Credits
UNIT 11 – PROBABILITY AND STATISTICS
- Measures of Central Tendency
- Dispersion
- Interpreting Data
- Statistical Relationships
- Quiz 1: Measures of Central Tendency
- Sampling and Outcomes
- Permutations
- Combinations
- Quiz 2: Outcomes
- Probability
- Compound Events
- Two-Way Frequency Tables
- Quiz 3: Probability
- Review
- Test
- Alternate Test
- Glossary and Credits
UNIT 12 – SEMESTER REVIEW AND EXAM
- Review
- Exam
- Alternate Exam—Form A
- Alternate Exam—Form B
UNIT 13 – FINAL EXAM