Course Details
Get Started with Refresh Kid’s Pre-Calculus Course
Succeed in advanced math with Refresh Kid’s Pre-Calculus tutoring program. Our course helps students strengthen their math foundation and prepare for college-level mathematics. We offer flexible options to meet your goals and fit your budget.
Choose the Right Tutoring Option for Your Needs:
1-on-1 Non-Local Teacher (Affordable Advantage):
Get personalized attention from experienced international instructors at a budget-friendly price.
1-on-1 US Teacher (In-Depth Expertise):
Learn from US-based teachers who understand national standards and college requirements.
US Local Teacher Group Sessions (Collaborative Learning):
Interact with peers in small-group sessions led by a local teacher.
Session Options
We offer flexible scheduling options to fit your learning pace:
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1 Session/Week: Build your skills steadily over time.
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2 Sessions/Week: Accelerate your learning for faster progress.
What You’ll Learn in Our Pre-Calculus Course:
Our Pre-Calculus course follows US standards and can be tailored to your state’s curriculum. Students will cover key topics to build a strong math foundation:
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Functions: Polynomial, rational, exponential, logarithmic, and trigonometric functions
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Advanced Graphing Techniques: Learn how to graph complex equations
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Conic Sections: Study parabolas, ellipses, and hyperbolas
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Trigonometry: Understand angles, identities, and equations
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Limits: An introduction to limits to prepare for Calculus
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Sequences and Series: Learn arithmetic and geometric sequences
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Introduction to Calculus Concepts (Optional): Get a head start on Calculus
Key Features of Our Pre-Calculus Tutoring Program:
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Concept Clarity: We simplify complex topics into easy-to-understand lessons.
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Practice Problems: Build confidence with plenty of practice questions.
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Homework Help: Get immediate support with challenging assignments.
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Personalized Lesson Plans: Lessons are tailored to meet each student’s unique learning needs.
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Virtual Convenience: Learn from the comfort of your home with live online sessions.
Why Choose Refresh Kid’s Pre-Calculus Tutoring?
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Experienced Tutors: Our instructors have extensive experience in teaching Pre-Calculus.
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Flexible Options: Choose between 1:1 sessions or group classes to fit your schedule.
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Curriculum Alignment: Our course follows US standards and prepares students for college-level math.
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Affordable Pricing: Quality tutoring at a competitive price.
Ready to Ace Pre-Calculus?
Book Your Free Assessment | Explore Pricing and Availability | Refresh Kid: Your partner in Pre-Calculus excellence & College Readiness!
Plans & Pricing
Topics Covered
AP Precalculus
A. Polynomial and Rational Functions
1 Introduction to polynomial functions
2 End behavior of polynomials
3 Identifying zeros, multiplicity, and graphs
4 Factoring polynomials completely
5 Long division and synthetic division of polynomials
6 Rational functions and asymptotes
7 Graphing rational functions
8 Solving rational equations
9 Applications of polynomial and rational functions
B. Exponential and Logarithmic Functions
1 Introduction to exponential functions
2 Properties of exponential growth and decay
3 Graphing exponential functions (transformations)
4 Introduction to logarithms and inverse relationships
5 Properties of logarithms (product, quotient, power rules)
6 Solving exponential equations using logarithms
7 Solving logarithmic equations
8 Applications of exponential and logarithmic models (population, finance, radioactive decay)
C. Trigonometric and Polar Functions
1 Measuring angles in degrees and radians
2 Understanding the unit circle
3 Defining sine, cosine, tangent, and reciprocals on the unit circle
4 Graphing sine and cosine functions
5 Graphing transformations: amplitude, period, phase shift
6 Graphing tangent, cotangent, secant, cosecant
7 Inverse trigonometric functions
8 Solving basic trigonometric equations
9 Introduction to polar coordinates
10 Graphing simple polar curves
D. Functions and Modeling
1 Introduction to functions and their notation
2 Domain and range (with restrictions)
3 Combining functions: addition, subtraction, multiplication, division
4 Composition of functions
5 Inverse functions and graphing inverses
6 Piecewise-defined functions
7 Modeling with functions: creating functions from word problems
8 Transformations of functions (shifts, reflections, stretches)
E. Systems of Equations and Matrices
1 Solving systems of equations algebraically (substitution and elimination)
2 Solving systems graphically
3 Introduction to matrices and matrix operations
4 Using matrices to solve systems of equations (Gaussian elimination)
5 Real-world applications with systems and matrices
F. Vectors and Parametric Equations (Optional/Stretch Topics)
1 Introduction to vectors: magnitude and direction
2 Operations with vectors (addition, subtraction, scalar multiplication)
3 Dot product of two vectors
4 Parametric equations and their graphs
5 Converting between parametric and rectangular forms
6 Applications of vectors and parametric equations (physics, engineering problems)