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EdQuillAcademy

Pre-Calculus Curriculum

Advanced Mathematics Preparation for Calculus and College Success

Our Pre-Calculus curriculum prepares students for the rigor of Calculus and advanced mathematics courses, developing strong analytical and problem-solving skills essential for STEM fields.

Program Overview

Pre-Calculus bridges the gap between Algebra 2 and Calculus, focusing on advanced functions, trigonometry, and mathematical analysis. Students develop the conceptual understanding and technical skills needed for success in Calculus and college-level mathematics.

The curriculum emphasizes mathematical reasoning, problem-solving strategies, and preparation for AP Calculus and college entrance exams.

Duration

32 weeks (full academic year)

Class Size

Maximum 8 students

Grade Level

Grades 11-12

Prerequisites

Algebra 2, Geometry

Pre-Calculus interactive learning

Learning Objectives

By the end of this program, students will be able to demonstrate proficiency in advanced mathematical concepts and be well-prepared for Calculus.

Master advanced function analysis and transformations

Apply trigonometric functions and identities

Solve complex equations and inequalities

Understand limits and continuity concepts

Work with vectors and complex numbers

Analyze conic sections and polar equations

Apply mathematical modeling techniques

Develop strong problem-solving strategies

Prepare for AP Calculus and college mathematics

Curriculum Units

The curriculum is organized into focused units that build advanced mathematical understanding and prepare for Calculus.

Unit 1: Functions and Their Graphs
4 weeks
Function analysis and transformations
Inverse functions
Composition of functions
Piecewise functions
Unit 2: Polynomial and Rational Functions
4 weeks
Polynomial functions and graphs
Rational functions and asymptotes
Complex zeros
Applications and modeling
Unit 3: Exponential and Logarithmic Functions
4 weeks
Exponential functions and growth/decay
Logarithmic functions
Properties of logarithms
Exponential and logarithmic equations
Unit 4: Trigonometric Functions
5 weeks
Unit circle and trigonometric functions
Graphs of trig functions
Inverse trigonometric functions
Trigonometric identities
Unit 5: Trigonometric Equations and Applications
3 weeks
Solving trigonometric equations
Trigonometric applications
Law of Sines and Cosines
Vectors and applications
Unit 6: Conic Sections
4 weeks
Circles and ellipses
Hyperbolas and parabolas
Conic section equations
Applications of conic sections
Unit 7: Sequences, Series, and Probability
4 weeks
Arithmetic and geometric sequences
Series and summation
Mathematical induction
Probability and counting
Unit 8: Limits and Continuity
4 weeks
Introduction to limits
Limit properties and techniques
Continuity of functions
Preparation for Calculus

Assessment and Progress Tracking

We use comprehensive assessments to ensure students are mastering advanced mathematical concepts and are prepared for Calculus.

Weekly Assessments

Regular quizzes and problem-solving exercises.

Unit Tests

Comprehensive assessments of each unit's concepts.

Final Exam

Cumulative assessment and Calculus readiness evaluation.

Teaching Methodology

Our instruction combines rigorous mathematical content with interactive learning, technology integration, and real-world applications. Students develop both conceptual understanding and computational skills.

Key Instructional Strategies:

  • Interactive problem-solving and group work
  • Technology-enhanced graphing and analysis
  • Real-world applications and modeling
  • Differentiated instruction for various skill levels
  • Regular feedback and progress monitoring
Pre-Calculus students working together

Success Metrics

Our Pre-Calculus program has a proven track record of preparing students for Calculus and college-level mathematics.

95%

Pass rate for Pre-Calculus students

92%

Advance to Calculus

90%

Report increased math confidence

88%

Score above average on standardized tests

Ready to Prepare for Calculus?

Join our Pre-Calculus program and build the strong foundation needed for Calculus and college mathematics. Contact us today to schedule a free assessment and learn more about our curriculum.