### Algebra - Semester I

**Description**

Algebra Semester I covers concepts on Ratios, Percentages, Proportions, Rates and final touches on Special Factoring techniques. This course allows the students to handle problems with ease and confidence. We will have two exams during the course to make sure students are on track the concepts learned.

**Class Outline**

Lesson 1: Ratios and Percentages

• More Challenging Ratio Problems

Lesson 2: Ratios and Percentages

• Percentage word Problems

Lesson 3: Proportions

• Direct, Inverse and Joint Proportions

Lesson 4: Rate Problems

Lesson 5: Rate Problems

• Harmonic Mean

• Moles Digging Holes

Lesson 6: Graphing Lines

• Number Line and Cartesian Plane

• Introduction to Graphing Linear Equations

• Using Slope in Problems

Lesson 7: Graphing Lines

• Find the Equation of lines

• Slope and Intercepts

• Comparing Lines

Lesson 8: Exam

Lesson 9: Introduction to Inequalities

• Basics

• Which is Greater

Lesson 10: Introduction to Inequalities

• Linear Inequalities

• Graphing Inequalities

Lesson 11: Introduction to Inequalities

• Optimization

Lesson 12: Quadratic Equations – Part I

• Getting Started with Quadratics

• Factoring Quadratics I

Lesson 13: Quadratic Equations – Part I

• Factoring Quadratics II

• Sums and Products of Roots of a Quadratics

Lesson 14: Special Factorizations

• Squares of Binomials

• Differences of Squares

Lesson 15: Special Factorizations

• Sum and Difference of Cubes

• Rationalizing Denominators

• Simon’s Favorite Factoring Trick

Lesson 16: Exam

### Algebra - Semester II

**Description**

Algebra Semester II covers Quadratic Equations with different methods of factoring, functions and arithmetic, geometric sequences. This course allows the students to handle problems with ease and confidence. We will have two exams during the course to make sure students are on track the concepts learned.

**Class Outline**

Lesson 1: Complex Numbers

• Imaginary Numbers

• Complex Numbers

Lesson 2: Quadratic Equations – Part 2

• Squares of Binomials Revisited

• Completing the Square

Lesson 3:Quadratic Equations – Part 2

• The Quadratic Formula

• Applications and Extensions

Lesson 4: Graphing Quadratics

• Parabolas

Lesson 5: Graphing Quadratics

• Circles

Lesson 6: More Inequalities

• Quadratic Inequalities

• Beyond Quadratics

Lesson 7: More Inequalities

• The Trivial Inequality

• Quadratic Optimization

Lesson 8: Exam

Lesson 9: Functions

• The Machine

• Combining Functions – Add, Multiplication and Division functions

Lesson 10: Functions

• Composition

• Inverse Functions

Lesson 11: Functions

• Problem solving with Functions

• Operations

Lesson 12: Graphing Functions

• Basics

• Transformations

Lesson 13: Polynomials

• Addition and Subtraction

• Multiplication

Lesson 14: Sequences and Series

• Arithmetic Sequence

• Arithmetic Series

Lesson 15: Sequences and Series

• Geometric Sequence

• Geometric Series

Lesson 16: Exam

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