AP Pre-Calculus
AP Pre-Calculus prepares students for advanced mathematical concepts they will encounter in college-level calculus
90%
of students score
4 and above
78%
students get a top score of
5 in
AP Pre-Calculus
80%
students showed exceptional
performance in their first semester of
AP Pre-Calculus
Course Concept
AP Pre-Calculus is a high school course designed to prepare students for the study of advanced mathematical concepts and topics. It serves as a bridge between algebra, geometry, and calculus, providing students with a solid foundation in mathematical skills and problem-solving strategies. It is divided in:
- Functions and Graphs: Students learn about different types of functions, including linear, quadratic, polynomial, rational, exponential, and logarithmic functions. They study the behavior and properties of functions, such as domain, range, symmetry, and transformations. Students also explore the graphical representations of functions and analyze their characteristics.
- Trigonometry: The course introduces students to trigonometric functions, identities, and equations. They learn how to solve triangles, apply trigonometric functions to real-world problems, and understand the relationships between angles and trigonometric ratios.
- Algebraic Manipulations: Students develop their algebraic skills and learn techniques for simplifying and manipulating algebraic expressions. They study topics such as factoring, rational expressions, complex numbers, and solving equations and inequalities.
- Sequences and Series: Students explore arithmetic and geometric sequences and series. They learn how to find the terms of a sequence, calculate the sums of series, and apply mathematical formulas to solve related problems.
- Probability and Statistics: The course introduces basic concepts of probability and statistics. Students learn about counting techniques, probability calculations, data analysis, and descriptive statistics.
- Problem Solving: AP Pre-Calculus emphasizes problem-solving skills and strategies. Students engage in solving complex mathematical problems, applying multiple concepts and techniques to find solutions. They develop critical thinking, analytical reasoning, and mathematical modeling skills.
AP Pre-Calculus
Course Details:
- Dedicated Test Prep Manager to Oversee Your Program
- Physical & Digital Copies of the AP Guru Strategy Guides & Classroom Books
- Test Reports With Detailed Analytics
- Personalized Lesson Notes And Assignments
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150000
+ GST
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$
1850
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Course Concept
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COURSE SYLLABUS PDF- Real Numbers , Variables and Exponents
- Solving Linear Equations
- Solving Linear Inequalities
- Operations with Polynomials
- Factoring Polynomials
- Factoring Quadratic Trinomials
- Special Products and Factoring Patterns
- Operations with Rational Expressions
- Simplifying Complex Fractions
- Radicals and Fractional Exponents
- Operations with Radicals
- Graphing Points and Linear Equations
- Midpoint and Distance Formulae
- The Slope of a Line
- Graphing a Linear Equation
- Writing Equations of lines
- Solving Linear Systems Graphically
- Solving Linear System Algebraically
- Functions Concepts
- Quadratic Functions and Their Graphs
- Solving Quadratic Equations
- Applying Quadratic Equations
- Solving Quadratic Inequalities
- Functions Concepts
- Multiplying and Dividing Complex Numbers
- Completing the Square
- The Quadratic Formula
- AbsoluteValue Equations and Inequalities
- Transformation of Graphs
- Special functions and Their Graphs
- Radical Equations
- Graphing Rational Functions
- Rational Equations and Inequalities
- Divisions of Polynomial
- Zeros of Polynomial functions
- Solving Polynomial Functions
- Graphing Polynomial Functions
- Decomposing Rational Expression
- Inverse Functions
- The Exponential Functions
- The Logarithmic Functions
- Logarithmic Laws and Equations
- Exponential and Logarithmic Models
- One Dimensional Arrays
- Initialization
- Length Of array
- Traversing a One- Dimensional Array
- Arrays as Parameters
- Array Variable Parameters
- Array of Class Objects
- Analyzing Array Algorithms
- Array Lists
- The Arraylist Class
- The Methods Of Arraylist <E>
- Autoboxing And Unboxing
- Using Arraylist <E>
- Two Dimensional Arrays
- Declarations
- Matrix as Array of Row Arrays
- Two - Dimensional Array as parameter
- Degree and Radian Measures
- Right- Triangle Trigonometry
- The General Angle
- Working with Trigonometric Functions
- Trigonometric Functions of Special Functions
- Periodic Functions and Their Graphs
- Graphing Trigonometric Functions
- Transformation of Trigonometric Functions
- Inverse Trigonometric Functions
- Pythagorean Trigonometric Identities
- Solving Trigonometric Equations
- Sum and Difference Identities
- Double - Angle Identities
- Half -Angle Identities
- The Area of a Triangle
- The Law of Sines
- The Law of Cosines
- Parametric Equations
- The Polar Coordinate system
- The Polar form of Complex Numbers
- Powers and Roots of Complex Numbers
- The Parabola
- The Ellipse
- The Hyperbola
- General Equations of Conics
- Polar Equations of Conics
- Arithmetic Sequences and Series
- Geometry Sequences and Series
- Generalized Sequences
- Mathematical Induction
- Permutations and Combinations
- The Binomial Theorem
- Limits of Functions
- Slope of a Tangent Line
- Rules for Finding Derivatives
- Finding Antiderivatives
- Integration and Area Under a Curve
Private Tutoring
- You get your instructor’s undivided attention and a guided exploration of their subject with both theory and applications taught live in class.
- Expert guidance at every step that involves interactive sessions, class notes, worksheets, class recordings, and access to past papers.
- Specialist subject tutors who have graduated from top universities with a passion for teaching and a dedicated program manager to track your progress.
Experienced Tutors
- A teacher who is a 99th percentile scorer in the subject he or she teaches
- A subject specialist who will convey essential concepts in a clear and easily understandable manner
- Perform better on practice exams, and be better prepared for your test day.
Targeted Assessments
- Topic-wise worksheets and graded assessments (with marking schemes) to ensure mastery of each topic tested on the school exams.
- Doubt sessions after every couple of classes to review incorrect questions.
- Additional worksheets on topic areas of concern.
Mentoring & Support
- A Program Manager helps you at every step.
- Dedicated support to resolve doubts, set up test schedules and sessions, and send reminders.
- Parents Teacher Meetings - We set up monthly parent-teacher meetings for you to interact with the tutors.
Comprehensive Curriculum
- Track your progress including topic, class and homework discussion.
- 10 Months of exhaustive exam prep to get you ready.
- Last 2 months of Exam Improvement Pointers and Strategies for writing high-scoring answers.
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AP Calculus BC
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AP Computer Science A
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AP Computer Science Principles
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AP Environmental Science
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AP European History
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AP Human Geography
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AP MacroEconomics
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AP MicroEconomics
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AP Physics 1: Algebra
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AP Physics 2: Algebra
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AP Physics C
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AP Pre-Calculus
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AP Pre-CalculusMode:
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AP Psychology
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AP Statistics
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AP United States Government and Politics
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AP World History (Modern)
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AP World History (Modern)Mode:
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Step 3 involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors making progress towards academic excellence.
Complete Application
Step 1 of the APGuru process is the application phase. We'll ask for basic information such as your name, contact details, current educational level, and your specific goals or challenges. Once you've filled out the application, click the submit button. Your application will be promptly reviewed by our admissions team.
Take a Trial Class
Step 2 is the trial class, where applicants receive an invitation to experience our teaching methods and interact with instructors. During this session, students engage in discussions, ask questions, and evaluate whether APGuru aligns with their learning preferences and goals, helping them make an informed decision.
Join AP Guru
Step 3 of the APGuru process involves officially joining the program after a successful trial class. Students confirm their enrollment, select their desired course or program, and gain access to comprehensive study resources. They begin attending regular classes, receiving guidance from experienced instructors, and tracking their progress towards academic excellence.