Part of Our Accredited Online High School Program
Grade 11 Online Pre-Calculus Course
This Grade 11 Pre-Calculus online course helps students strengthen advanced math skills, understand key concepts, and prepare for future Calculus and higher-level mathematics.
Grade 11 Pre-Calculus Course Outline (1.0 Credit)
Course Overview
This high school Pre-Calculus course reviews and extends key concepts from trigonometr and higher algebra while introducing analytic geometry. Students will develop a foundational understanding of basic calculus concepts, including limits, derivatives, continuity, and integrals.
Course Preparation & Progression
The course is designed for capable students who have successfully completed Algebra II. Students who complete this course with a grade of “C” or higher will be academically prepared to move on to Calculus.
Course Description
This Pre-Calculus course provides students with advanced mathematical preparation through the review and extension of trigonometry and higher algebra concepts. Analytic geometry is introduced, and students begin developing an understanding of introductory calculus concepts such as limits, derivatives, continuity, and integrals.
This course serves as an important bridge between Algebra II and Calculus.
Who Should Take This Course
This course is intended for high school students who have successfully completed Algebra II and are prepared for advanced mathematical study. It is suitable for students planning to continue into Calculus.
Course Credit
This Pre-Calculus course is offered for 1.0 high school credit and may be applied toward high school graduation requirements, depending on the student’s academic plan.
Learning Focus
Throughout the course, students focus on strengthening mathematical reasoning, understanding relationships between algebraic and trigonometric concepts, and preparing for higher-level mathematics.
Preparation for Calculus
Students who complete this course with a grade of “C” or higher are academically prepared to continue into Calculus.
Course Outline
Introduction
- Introduction
- Course Description
- Pretest
- Assignment: Pretest
- MLA Formatting Word 2007
- MLA Documentation Updates
- MLA Citation
- MLA Incorporating Sources
- Completing Math Assessments
Angles & Triangles
- Angles & Angle Measures
- Handout: Angles & Angle Measures Worksheet
- Assignment: Angles & Angle Measures
- Worksheet: Converting Angle Measures
- Triangle Review
- Handout: Triangle Review Worksheet
- Assignment: Triangle Review
- Pythagorean Theorem
- Handout: Pythagorean Theorem Worksheet
- Assignment: Pythagorean Theorem
- Special Right Triangles
- Handout: Special Right Triangles Worksheet
- Assignment: Special Right Triangles
- Basic Trignometric Ratios
- Handout: Basic Trigonometric Ratios Worksheet
- Assignment: Basic Trigonometric Ratios
- Inverse Trigonometric Ratios
- Worksheet: Inverse Trigonometric Ratios
- Laws of Sine & Cosine
- Handout: Law of Sines & Cosines Worksheet
- Assignment: Law of Sines & Cosines
- The Unit Circle
- Handout: Unit Circle
- Handout: Finding Trig Values
- Handout: Evaluating Trig Functions Worksheet
- Assignment: Evaluating Trig Functions
Graphs of Trigonometric Functions
- Graphs of Sine & Cosine
- Handout: Graphs of Sine & Cosine Worksheet
- Assignment: Graphs of Sine & Cosine
- Linear & Angular Velocity
- Handout: Linear & Angular Velocity Worksheet
- Assignment: Linear & Angular Velocity
- Graphs of Other Trig Functions
- Handout: Cotangent Graph Exploration
- Assignment: Cotangent Graph Exploration
- Translations of Trig Functions
- Handout: Translations of Trig Functions Worksheet
- Assignment: Translations of Trig Functions
- Applications of Trig Functions
- Handout: Sinusoidal Applications Worksheet
- Essay: Real-World Applications
- Assignment: Sinusoidal Applications
Trigonometric Identities
- Fundamental Trigonometric Identities
- Handout: Fundamental Trigonometric Identities Worksheet
- Assignment: Fundamental Trigonometric Identities
- Proving Trigonometric Identities
- Handout: Proving Trig Identities Worksheet
- Assignment: Proving Trig Identities
- Sum & Difference Identities
- Handout: Sum & Difference Identities Worksheet
- Assignment: Sum & Difference Identities
- Essay: Sum & Difference Identities Short Answer
- Double-Angle & Half-Angle Identities
- Handout: Double & Half-Angle Identities Worksheet
- Assignment: Double & Half-Angle Identities
- Essay: Double & Half-Angle Identities Short Answer
- Solving Trigonometric Equations
- Handout: Solving Trig Equations Worksheet
- Assignment: Solving Trig Equations
Mid-Term Exam
- Midtest
- Assignment: Midtest
- Handout: Trigonometry Mid-Term Exam
- Assignment: Trigonometry Mid-Term Exam
Inverse Trig Functions
- Review: Basic Inverse Trig Functions
- Handout: Inverse Review Worksheet
- Assignment: Inverse Review
- Graphs of Inverse Trig Functions
- Handout: Inverse Trig Graphs Worksheet
- Assignment: Inverse Trig Graphs
- Inverse Trig Properties
- Handout: Inverse Trig Properties Worksheet
- Assignment: Inverse Trig Properties
- Area of Triangles
- Handout: Area of Triangles Worksheet
- Assignment: Area of Triangles
Vectors
- Introduction to Vectors
- Handout: Introduction to Vectors Worksheet
- Assignment: Introduction to Vectors
- Geometric Vectors: Adding & Subtracting
- Handout: Geometric Vectors
- Assignment: Geometric Vectors
- Algebraic Vectors
- Handout: Algebraic Vectors Worksheet
- Assignment: Algebraic Vectors
The Polar system
- Polar Coordinates
- Handout: Polar Coordinates Worksheet
- Assignment: Polar Coordinates
- Graphing Polar Equations
- Handout: Graphing Polar Equations Worksheet
- Assignment: Graphing Polar Equations
- Polar & Rectangular Coordinates
- Handout: Converting Polar & Rectangular Equations Worksheet
- Worksheet: Converting Polar & Rectangular Coordinates
- Assignment: Converting Polar & Rectangular Equations
- Complex Numbers
- Handout: Operations With Complex Numbers Worksheet
- Assignment: Operations With Complex Numbers
- Polar Form of Complex Numbers
- Handout: Polar Form of Complex Numbers Worksheet
- Assignment: Polar Form of Complex Numbers
- Complex Numbers in Polar Form: Products & Quotients
- Handout: Products & Quotients Worksheet
- Assignment: Products & Quotients
- De Moivre’s Theorem
- Handout: De Moivre’s Theorem Worksheet
- Assignment: De Moivre’s Theorem
Final Exam
- Post-test
- Assignment: Post-test
- Handout: Trigonometry Final Exam
- Assignment: Final Exam
Course Survey
- Handout: Course Survey
- Assignment: Course Survey
