# Pre-Calculus & Trigonometry A

Age 15-18

## Course Description

Pre-Calculus & Trigonometry is a high school level course that prepares students for success in their studies of calculus. The course is designed to build on students' prior understanding of Algebra and Geometry to learn rigorous concepts such as the binomial theorem, conic sections, trigonometry, and a brief introduction to calculus. This course is suitable for students who have completed courses in Algebra 2 and Geometry or equivalent. After successful completion of Pre-Calculus & Trigonometry, students will be prepared to move onto AP Calculus.

Pre-Calculus & Trigonometry A covers four broad topics: polynomials; piecewise, rational, and logarithmic functions; sums, sequences, the binomial theorem; and conic functions, which are all concepts that can be applied to, for example, improving the architecture of a building.

Age 15-18

## Prerequisites

Algebra 2

This course typically takes 4-7 months to complete. This depends on the student's dedication to homework, their previous experience, and the difficulty of course material. Our instructors move at the pace of the student, taking extra time to reinforce concepts as needed.

• ## Piecewise Functions

PCTA1 Piecewise Functions

• ## Polynomials

PCTA2 Higher Degree Polynomials

PCTA3 Polynomial Division

PCTA4 Zeros of Polynomials

PCTA5 Graphing Polynomials

• ## Sequences, Sums, and the Binomial Theorem

PCTA6 Arithmetic and Geometric Sequences

PCTA7 Area Under a Curve

PCTA8 The Binomial Theorem

• ## Other Functions

PCTA9 Rational Functions

PCTA10 Rational Function Operations

PCTA11 Logarithms and Exponents

PCTA12 Function Inverses and Composition

• ## Conic Functions

PCTA13 Circles and Ellipses

PCTA14 Parabolas and Hyperbolas

### Pre-Calculus will show students new and more complex functions, which will result in them gaining unique skills to solve real-world problems.

My favorite course to teach with Juni is Pre-Calculus. I love teaching it because of the wide range of topics students are exposed to. This reason is also why Pre-Calculus is so important for students to experience. It reinforces many of the ideas they learned in Algebra and Geometry, as well as expand on some of them.