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$60

per session
Class

High School Pre Calculus/Trigonometry Tutor

Completed by 9 learners
Ages 13-17
Live 1-on-1 Lessons
In this one on one live tutoring session. I will work with their student in their ongoing Pre Calculus class. We can work on ongoing homework, study for quizzes/exams or help them complete homework. I will also bring supplemental problems.
Average rating:
5.0
Number of reviews:
(3 reviews)

Live video meetings
Meets on demand
55 min

What's included

Meets on Demand
schedule meetings as needed
55 mins
per session
Teacher support

Class Experience

US Grade 5 - 8
Precalculus serves as a bridge between Algebra, Geometry, and Calculus. It covers a broad range of topics that help students develop the skills needed for success in Calculus. Here are the standard topics typically covered in a Precalculus course:

1. Functions and Their Properties
Types of Functions: Linear, quadratic, polynomial, rational, exponential, logarithmic, trigonometric, inverse, and piecewise functions
Domain and Range: Determining the domain and range of functions
Operations on Functions: Addition, subtraction, multiplication, division, and composition of functions
Inverse Functions: Definition and finding inverse functions
Graphing Functions: Understanding transformations (translations, reflections, stretching, shrinking)
2. Polynomial and Rational Functions
Polynomial Functions: Long division, synthetic division, zeros of polynomials (factoring, Rational Root Theorem)
Graphing Polynomial Functions: End behavior, turning points, and identifying key characteristics of graphs
Rational Functions: Asymptotes (vertical, horizontal, oblique), holes, and graphing rational functions
Solving Polynomial and Rational Equations: Techniques for solving algebraically
3. Exponential and Logarithmic Functions
Properties of Exponents: Growth and decay models
Exponential Functions: Graphing and solving exponential equations
Logarithmic Functions: Definition of logarithms, properties (product, quotient, power rules), and solving logarithmic equations
Exponential and Logarithmic Applications: Compound interest, population growth, and decay models
4. Trigonometry
Angles and Radian Measure: Degrees vs. radians, converting between them
Trigonometric Functions: Definitions using the unit circle, sine, cosine, tangent, and their reciprocals (cosecant, secant, cotangent)
Graphing Trigonometric Functions: Amplitude, period, phase shift, and vertical shift
Inverse Trigonometric Functions: Understanding and solving inverse trig functions
Trigonometric Identities: Pythagorean, sum and difference identities, double-angle, half-angle identities
Solving Trigonometric Equations: Using identities and inverse functions
Law of Sines and Cosines: Applications to solving triangles
5. Complex Numbers
Definition and Operations: Addition, subtraction, multiplication, division of complex numbers
Polar Form of Complex Numbers: Conversion between rectangular and polar forms, De Moivre's Theorem
6. Vectors
Vector Operations: Addition, subtraction, dot product
Magnitude and Direction: Representing vectors graphically, finding the magnitude and direction
Applications of Vectors: Solving physics-related problems involving force, velocity, etc.
7. Sequences and Series
Arithmetic Sequences and Series: Finding terms, sum formulas
Geometric Sequences and Series: Finding terms, sum formulas, including infinite geometric series
Mathematical Induction: Proving statements involving sequences or inequalities
8. Conic Sections
Parabolas: Equations, vertex, focus, and directrix
Ellipses: Equations, foci, major and minor axes
Hyperbolas: Equations, foci, asymptotes
Applications of Conic Sections: Real-world problems involving parabolas, ellipses, and hyperbolas
9. Polar Coordinates and Parametric Equations
Polar Coordinates: Plotting points in the polar plane, converting between polar and rectangular coordinates
Polar Equations: Graphing polar equations, finding symmetries, and analyzing polar curves
Parametric Equations: Graphing and eliminating the parameter, applications to motion and curves
10. Limits (Introduction to Calculus)
Concept of a Limit: Understanding limits intuitively, graphically, and algebraically
Limits at Infinity: End behavior of functions and asymptotes
Continuity: Defining continuity at a point, types of discontinuities
Limit Laws: Basic properties and techniques for calculating limits
11. Additional Topics (Optional)
Binomial Theorem: Expanding binomials, Pascal's Triangle
Probability and Combinatorics: Permutations, combinations, and basic probability

Learning Goals

These topics form the foundation for Calculus and higher-level mathematics, helping students develop an understanding of functions, equations, and their applications in various mathematical contexts.

Other Details

External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.

Meet the teacher

Joined October, 2024
5.0
3reviews
Profile
Teacher expertise and credentials
Hello! I am so excited to meet you! I currently tutor Chemistry, Algebra 1, Algebra 2 and Pre-Calculus. I have been teaching and tutoring these classes for the last 10 years. I graduated from Indiana University with my BS in Biochemistry and Minor in Mathematics. I also went to Purdue University for my MS in Biochemsitry. I love math and science! I enjoy helping students with these challenging classes to do their very best! I homeschool my own five children. I love to camp and hike with my family and play with my sweet bernedoodle, Daisy!

Reviews



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