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Precalculus Topics We Tutor

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Composite and Inverse Functions

Composing functions
Modeling with composite functions
Invertible functions
Inverse functions in graphs and tables
Verifying inverse functions by composition

Trigonometry

Special trigonometric values in the first quadrant
Trigonometric identities on the unit circle
Inverse trigonometric functions
Law of sines
Law of cosines
Solving general triangles
Sinusoidal equations
Sinusoidal models
Angle addition identities
Using trigonometric identities

Complex Numbers

The complex plane
Distance and midpoint of complex numbers
Complex conjugates and dividing complex numbers
Identities with complex numbers
Modulus (absolute value) and argument (angle) of complex numbers
Polar form of complex numbers
Graphically multiplying complex numbers
Multiplying and dividing complex numbers in polar form
The fundamental theorem of algebra

Rational Functions

Reducing rational expressions to lowest terms
End behavior of rational functions
Discontinuities of rational functions
Graphs of rational functions
Modeling with rational functions
Multiplying and dividing rational expressions
Adding and subtracting rational expressions

Conic Sections

Introduction to conic sections
Center and radii of an ellipse
Foci of an ellipse
Introduction to hyperbolas
Foci of a hyperbola
Hyperbolas not centered at the origin

Vectors

Vectors introduction
Vector components
Magnitude of vectors
Scalar multiplication
Vector addition and subtraction
Direction of vectors
Vector components from magnitude and direction
Adding vectors in magnitude and direction form
Vectors word problems

Matrices

Introduction to matrices
Using matrices to represent data
Multiplying matrices by scalars
Adding and subtracting matrices
Properties of matrix addition & scalar multiplication
Using matrices to manipulate data
Matrices as transformations of the plane
Using matrices to transform the plane
Transforming 3D and 4D vectors with matrices
Multiplying matrices by matrices
Properties of matrix multiplication
Representing systems of equations with matrices
Introduction to matrix inverses
Finding inverses of 2x2 matrices
Solving linear systems with matrices

Probability and Combinatorics

Venn diagrams and the addition rule
Multiplication rule for probabilities
Permutations
Combinations
Probability using combinatorics
Probability distributions introduction
Theoretical & empirical probability distributions
Decisions with probability
Expected value

Series

Geometric series
Geometric series (with summation notation)
The binomial theorem
Arithmetic series

Limits and Continuity

Defining limits and using limit notation
Estimating limit values from graphs
Estimating limit values from tables
Determining limits using algebraic properties of limits: limit properties
Determining limits using algebraic properties of limits: direct substitution
Determining limits using algebraic manipulation
Selecting procedures for determining limits
Determining limits using the squeeze theorem
Exploring types of discontinuities
Defining continuity at a point
Confirming continuity over an interval
Removing discontinuities
Connecting infinite limits and vertical asymptotes
Connecting limits at infinity and horizontal asymptotes
Working with the intermediate value theorem
Regular Assignments
Regular worksheets and assignments help you learn valuable precalculus topics.
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One-on-One Precalculus Tutoring for Ambitious Students

The unique needs of every student lay the foundation of every precalculus program: our tutors can identify your strengths and areas of opportunity before building a high-level plan from scratch. Our online tutoring model ensures students have access to our program anytime, anywhere.
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Tailored Precalculus Tutoring Designed To Provide the Support You Need

Students seek varying levels of support; after all, every student is different! We’re here to accommodate whatever you need, whether you’re seeking to better understand vectors, matrices, limits and continuity, rational functions, or complex numbers. We make learning easier with actionable feedback at every step of the way.

Precalculus Plans Without Constraints: Flexible Programs Built for Students

We take your time and schedule seriously. Whether you’re free to meet three times a week or only need support twice per month, our tutors are here to build you a comprehensive plan that bends to your needs. Regular assignments and activities help you reinforce what you learn at home to lead to more success in the classroom. 
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Keep Up-To-Date With Our High-Level Progress Tracker

Our proprietary project tracker takes the guesswork out of evaluating a student’s progress. Tutors, families, and students can use our tracker to check on activities completed, tutor insights, actionable feedback, and proposed next steps after every session.

See The Results of Our Precalculus Programs: Less Stress and Improved Performance Through Tailored Sessions

“I felt stressed every time I went to my precalculus class. It always felt like everyone else around me understood everything while I was left in the dark. Working with Foundation Learning helped me build my confidence while I caught up to the rest of the class!”
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Our Precalculus Programs Are Best for Students Seeking…

A Way to Transform Stress Into Success

As students advance through high school curriculums, courses get tougher. Students seeking extra support to catch up or reinforce their learning benefit from our customized programs. We evaluate how you learn best while we help you work through core concepts.

The Support They Need to Excel In Mathematics

Cultivating the mathematical skills you’ll need in high school, college, and beyond through our precalculus tutoring classes can help you stay ahead of the curve. Our compassionate guidance and support at every step make learning foundational precalculus skills easier.

Develop and Build Precalculus Skills To Tackle Upcoming Exams

While we focus on teaching you precalculus content and strategies to help you make sense of complex new ideas, you also learn valuable test-taking strategies to build confidence and excel in future exams.

FAQ's

Are you ready to learn more about our precalculus programs? These FAQs have the answers you seek.

Who will teach me precalculus?

Our expert precalculus teachers bring a wealth of tutoring experience or hold a college degree in mathematics. Their experience ensures you get the expert support you deserve.


How can my family get involved in the tutoring process?

Families, students, and tutors stay connected using our progress tracker. Parents can view the tracker to check your activities, comments from your tutor, relevant insights into your progress, and next steps.

How am I paired with a precalculus tutor?

Our proprietary tutor matching process ensures you always work with a tutor whose expertise aligns best with your needs. We use the information you provide in your intake form paired with your needs and preferences to help us determine your best fit.

Which precalculus package should I select?

The best precalculus tutoring package depends on the support level you’re seeking from our program. Our clans are easily customizable to fit your unique needs; chat with us today to learn which package suits you best!

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