SAT and AP Calculus AB BC

 PURE MATHEMATICS help high school students excel in two critical areas of their academic journey: the SAT (Scholastic Assessment Test) and AP Calculus AB/BC (Advanced Placement Calculus). The course is divided into two main sections, each focusing on the specific content, strategies, and practice needed to achieve high scores on both exams. Whether you're aiming for a top-tier college or seeking college credit through AP exams, this course will provide the tools and confidence to succeed.

Course Objectives:

1. SAT Preparation:

   • Master the Math, Reading, and Writing sections of the SAT.

   • Learn time-management strategies and test-taking techniques.

   • Understand the structure, scoring, and common question types.

   • Practice with real SAT questions and full-length practice tests.

2. AP Calculus AB/BC Preparation:

   • Develop a deep understanding of calculus concepts, including limits, derivatives, integrals, and series.

   • Learn problem-solving strategies for both multiple-choice and free-response questions.

   • Gain familiarity with the AP exam format, scoring, and time constraints.

   • Practice with past AP exam questions and simulated tests.

Course Structure:

The course is divided into two main modules, each with weekly lessons, practice exercises, and assessments.

Module 1: SAT Preparation

Week 1: Introduction to the SAT

• Overview of the SAT format, sections, and scoring.

• Understanding the digital SAT (if applicable).

• Diagnostic test to identify strengths and weaknesses.

Week 2: SAT Math Section

• Key math topics: algebra, geometry, trigonometry, and data analysis.

• Strategies for solving word problems and grid-in questions.

• Practice problems and timed drills.

Week 3: SAT Reading Section

• Techniques for reading comprehension and analyzing passages.

• Identifying main ideas, tone, and evidence-based questions.

• Practice with literary, historical, and scientific texts.

Week 4: SAT Writing and Language Section

• Grammar rules, punctuation, and sentence structure.

• Improving paragraph organization and clarity.

• Practice exercises and error-spotting drills.

Week 5: SAT Essay (Optional)

• Understanding the essay prompt and scoring rubric.

• Structuring a persuasive essay with strong evidence.

• Practice prompts and peer reviews.

Week 6: Full-Length SAT Practice Test

• Simulated SAT exam under timed conditions.

• Detailed review of answers and strategies for improvement.

Module 2: AP Calculus AB/BC Preparation

Week 7: Introduction to AP Calculus

• Overview of the AP Calculus AB/BC exams and scoring.

• Key differences between AB and BC content.

• Diagnostic test to assess baseline knowledge.

Week 8: Limits and Continuity

• Understanding limits graphically, numerically, and algebraically.

• Continuity and the Intermediate Value Theorem.

• Practice problems and multiple-choice questions.

Week 9: Derivatives

• Definition of the derivative and differentiation rules.

• Applications of derivatives: rates of change, optimization, and related rates.

• Practice with free-response and multiple-choice questions.

Week 10: Integrals

• Definite and indefinite integrals, Fundamental Theorem of Calculus.

• Techniques of integration: substitution, integration by parts, and partial fractions.

• Applications of integrals: area, volume, and motion problems.

Week 11: Series and Sequences (BC Only)

• Convergence and divergence of series.

• Taylor and Maclaurin series.

• Practice problems and past AP exam questions.

Week 12: AP Calculus Practice Exam

• Full-length AP Calculus AB/BC practice test.

• Review of solutions and strategies for improving performance.

• AP Calculus Resources:

  • AP Calculus AB/BC Course and Exam Description (College Board).

  • Graphing calculator tutorials (TI-84 or equivalent).

  • Online problem banks and video tutorials.

Teaching Methods:

• Interactive lectures with visual aids and examples.

• Small group discussions and peer collaboration.

• Regular quizzes and progress assessments.

• One-on-one feedback and personalized study plans.

Assessment and Grading:

• Weekly quizzes and homework assignments.

• Full-length practice exams for both SAT and AP Calculus.

• Final project: Create a study guide or cheat sheet summarizing key concepts.

• Basic algebra and geometry knowledge for SAT preparation.

• Completion of pre-calculus or equivalent for AP Calculus.

Course Duration:

• 12 weeks (3 months), with 2-3 hours of instruction per week.

• Flexible schedule for self-paced learners.

Enrollment:

Sign up today to secure your spot and take the first step toward mastering the SAT and AP Calculus AB/BC!