Admin 12 Jun 2026 07:44

 

Pre-Calculus 11 Course Outline

Course Description

Pre-Calculus 11 is designed to provide students with the mathematical skills and understanding necessary for success in Pre-Calculus 12 and other mathematics programs at the post-secondary level. This course focuses on developing algebraic skills, graphical understanding, and problem-solving abilities. Students will explore functions, equations, and mathematical models that form the foundation for calculus and other advanced mathematics courses.

Course Objectives

Upon successful completion of Pre-Calculus 11, students will be able to:

  • Solve linear, quadratic, and systems of equations using multiple methods
  • Analyze and graph linear, quadratic, and absolute value functions
  • Simplify and perform operations with rational expressions and functions
  • Simplify and solve equations involving radicals
  • Solve problems involving arithmetic and geometric sequences and series
  • Apply trigonometric ratios to solve problems involving right and non-right triangles
  • Analyze financial literacy skills, including personal budgeting and investments

Units of Study

Unit 1: Sequences and Series

  • Arithmetic sequences and their properties
  • Arithmetic series and their sums
  • Geometric sequences and their properties
  • Geometric series and their sums
  • Applications of sequences and series in real-world contexts

Unit 2: Trigonometry

  • Review of primary trigonometric ratios
  • Solving problems involving right triangles
  • The Law of Sines and Law of Cosines
  • Applications to non-right triangles and real-world problems
  • Standard position of angles
  • Special angles and reference angles

Unit 3: Quadratic Functions and Equations

  • Properties of quadratic functions
  • Graphing quadratic functions in vertex and standard form
  • Completing the square
  • Solving quadratic equations by factoring, completing the square, and quadratic formula
  • Applications of quadratic functions to optimization problems

Unit 4: Radical Expressions and Equations

  • Simplifying radical expressions
  • Performing operations with radicals
  • Solving equations involving radicals
  • Graphing radical functions
  • Applications of radical expressions

Unit 5: Rational Expressions and Functions

  • Simplifying rational expressions
  • Operations with rational expressions (addition, subtraction, multiplication, division)
  • Solving rational equations
  • Graphing rational functions
  • Applications of rational expressions and functions

Unit 6: Absolute Value Functions and Equations

  • Properties of absolute value
  • Graphing absolute value functions
  • Solving absolute value equations
  • Solving absolute value inequalities
  • Applications of absolute value

Unit 7: Systems of Equations

  • Solving linear systems by graphing, substitution, and elimination
  • Solving linear-quadratic systems
  • Solving quadratic-quadratic systems
  • Applications of systems of equations to real-world problems

Assessment Methods

  • Unit Tests: 40% - Comprehensive assessments at the end of each unit
  • Quizzes: 15% - Short assessments to monitor progress on specific topics
  • Assignments: 20% - Regular homework assignments and problem sets
  • Projects: 15% - Applied problem-solving projects connecting mathematics to real-world scenarios
  • Final Examination: 10% - Comprehensive final exam covering all course material

Required Materials

  • Textbook: "Pre-Calculus 11" (specified edition according to school policy)
  • Graphing calculator (approved model) - TI-83 or TI-84 recommended
  • Scientific calculator as backup
  • Binders or notebooks for notes and assignments
  • Graph paper, rulers, protractors, and compasses
  • Pencils, erasers, and pens

Expectations and Guidelines for Success

  • Active participation in class discussions and activities
  • Completion of all assigned work on time
  • Regular review of class notes and textbook material
  • Seeking help from the teacher when needed
  • Working collaboratively with peers when appropriate
  • Maintaining academic honesty on all assignments and assessments
  • Developing problem-solving strategies and mathematical thinking skills
  • Using technology appropriately to enhance mathematical understanding

Additional Resources

  • Online math resources and video tutorials as provided by the teacher
  • Math support center/tutoring services available at the school
  • Additional practice materials and worksheets as distributed in class
  • Review sessions offered before major assessments

Reference Files For Pre Calculus 11 Course Outline For Grade 11 Mathematics
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