When students start with precalculus lessons, they learn how to graph quadratic functions and what the properties of quadratic graphs are. They also develop an understanding of quadratic equations and learn about the different ways of solving them. While entering the realm of pre-calculus may come across as scary for many students, there are many […]

# Sets

At the bottom of this lesson there are Guided Notes, a Slide Show, and a Sets Worksheet to help you out with this teaching Sets to your students. Set Notation: It all starts with Set Notation. Students must master these symbols so that they can correctly analyze the problems they will be doing… Students need […]

# Arithmetic Sequences and Series Worksheet

In all classrooms, there are students with different levels of ability. No matter what concept is being taught, presenting the basics to the class and then providing activities that individualize instruction meets the needs of more students and provides opportunities for student engagement and feeling of success. Writing lesson plans for such classroom interaction can […]

# Polar Coordinates – Baby Talk

You’ve heard the saying “talk to me like I am three” when trying to explain or understand something complex. The approach to introducing polar coordinates must be made using that same philosophy. For students to understand how to graph polar coordinates and equations, these lessons must use a scaffolding method where students understand each piece […]

# Introduction to Vectors – Navigating the Seas

Early navigators used math to chart their course and stay on it when dealing with factors such as wind and ocean current that affected their journeys. The system left something to be desired regarding accuracy. With the use of Introduction to vectors, your students can complete the activity that is linked below and gain not […]

# How to Teach Ellipses and Circles

When students see a concept presented in more than one way, the chances of understanding increase. Many teachers have students draw ellipses and circles by attaching a loop of string to two tacks placed in corrugated cardboard. Students use a pencil to draw the ellipse by placing it at one of the tacks and moving […]

# How to Teach Matrix Multiplication

The ‘Illuminations” Lessons from the NCTM website are an excellent resource for many mathematics concepts. Math teachers often take the ideas of others and tweak them to suit their level of comfort or match the activity to the ability level of students. One of the lessons entitled, Computer Animation, is a fun way for students […]

# Verifying Trigonometric Identities – Commit and Toss

WARNING 🙂 You are going to let students throw paper wads or paper airplanes in your class. The activity is used for closure during the later portion of a class period. Anytime you can interject some play, the task is less complicated, and students are more open to discussion with their peers. Commit and Toss […]

# Right Triangle Trigonometry – Get Triggy Wit It

Start your Right Triangle Trigonometry lesson with the YouTube video linked below. It is based on Will Smith’s rap song ‘Gettin’ Jiggy Wit It,’ entitled, ‘Get Triggy Wit It.’ It may not have a lot of trigonometry content, but it does introduce sine, cosine, and tangent and how they relate to a right triangle. If […]

# Exponential Functions – One Grain of Rice

Read the book, One Grain of Rice, to your students. You will be amazed at how older students will pay attention when you read the book to them. It is a nice way to introduce the concept of Exponential Functions and start the class differently than the norm. One Grain of Rice Activity Give them […]

# Rational Functions – NCTM Activity

When trying to motivate students in your math class, it’s helpful if they can see how it applies to the real world. Don’t you get tired of students asking, “When am I ever going to use this?” We know they need to know math for more reason than just to pass the tests, but they […]

# Continuity, End Behavior, and Limits – If This Then That

End behaviors can be a fun lesson to teach. There are a lot of “if this then that” situations that arise. For example, if the degree of the function is even then the arrows on the end of the graphs will face the same direction. Continuity Continuous Functions have: • no breaks, holes, or […]

# Operations with Complex Numbers – Total Recall

The title of the lesson is scarier than the actual lesson itself. When I start this lesson I always explain to the students that they should not be scared because of the word complex. Kids are kids and the word complex will have them concerned before you even start. I have found it very helpful […]