radians and degrees

Tips for Teaching Radians and Degrees

When precalculus students learn about degrees, minutes, and seconds, they become fluent in converting between degrees and minutes, as well as converting between radians and degrees. They also learn how to find the area of sector or sector length. Precalculus is challenging for many students in general, and learning about radians and degrees is no […]

Trigonometric Functions on the Unit Circle

Trigonometric Functions on the Unit Circle

When precalculus students learn about trigonometric functions on the unit circle, they learn how to understand the standard position of an angle, coterminal angle, and reference angle and become fluent in finding the trigonometric ratios in a given point on a unit circle. Even though trigonometry can cause headaches for even the best of students, […]

Logarithmic functions

Logarithmic Functions

In precalculus, students learn about functions, including logarithmic functions. They learn what logarithmic functions represent and acquire the necessary skills to evaluate such functions and find their domain and range. It’s no secret that logarithms can be challenging to master. Luckily, there are tons of tips that math teachers can use to help out students […]

Properties of logarithms

Properties of Logarithms

When pre-calculus students learn about logarithmic functions, one of the most important lessons they come across is the properties of logarithms. This is because students can simplify and evaluate logarithms with the help of these properties. Even though log lessons may be challenging, math teachers can help make them more engaging and accessible by using […]

matrix operations

Matrix Operations

In precalculus, students learn about matrices and how to apply mathematical operations to them. Matrices have many useful applications, such as representing numerical data in a more compact form in tables, making it easier to manipulate it and find solutions to problems. Regardless of their usefulness, matrices and matrix operations can come across as confusing […]

Analyzing graphs of functions and relations

Analyzing Graphs of Functions and Relations

Once pre-calculus students are confident in their knowledge of functions and relations, they move on to analyzing graphs of functions and relations (including identifying x and y-intercepts, zeros, symmetry, even and odd functions). Learning how to analyze graphs of functions and relations often comes across as tedious for many students. So one of the biggest […]

Power and radical functions

Power and Radical Functions

When learning about functions in precalculus, students familiarize themselves with what power and radical functions are, how to define and graph them, as well as how to solve equations that contain radicals. Units in precalculus are often seen as challenging, and power and radical functions are no exception to this. To help out with your […]

polynomial functions

Polynomial Functions

In precalculus, students learn about functions. In lessons on polynomial functions, students first learn how to define polynomial functions and how to find the zeros as well as roots of polynomial functions. Even though precalculus lessons are often perceived as daunting for many students, they can be turned into a fun and easy learning experience […]

functions precalculus

Teaching Functions in Precalculus

In lessons on functions (precalculus), math students learn what function notation is and become proficient in evaluating and solving functions, including piecewise functions, as well as interpreting statements that use function notation in terms of a context. Functions in precalculus may be challenging to grasp even for students who excel at math, and many math […]