​Mathematics of Lenses

The Mathematics Of Lenses Video Tutorial presents the lens equation and magnification equation and explains how to use them in the solution of algebraic word problems. The video includes four worked-out examples.

The video lesson answers the following questions:

  1. How can the lens equation be used to solve Physics word problems?
  2. What is meant by magnification (M) and how can the M ratio be used in solving Physics word problems?

Video

You can watch the video below, or click here to watch on YouTube (opens in a new tab).

To improve the effectiveness of the learning experience, The Physics Classroom has provided the following tools:

Additional and Related Learning Tools

The Calculator Pad, Refraction and Lenses Chapter, Problem Sets RL14 - RL20
The Calculator Pad is a powerful tool to assist you in learning to solve Physics problems. We have a collection of problems organized into problem sets according to topic and difficulty level. You solve a problem and receive immediate feedback. Many problems are accompanied by an audio-help file that provides some details regardingi the solution; other problems consists of links to appropriate tutorial pages. You can have multiple attempts on each problem, allowing you to correct your mistakes. The problem sets above are perferct follow-ups to this video.

The Physics Classroom Tutorial, Refraction and the Ray Model of Light, Lesson 5, The Mathematics of Lenses
Our written tutorial pages form the basis of most videos. So when you need a quick reference, the Tutorial page is a great place to start. This page is a great written version of the video.

Teacher Resources

Curriculum Corner, Refraction and Lenses
Our Curriculum Corner section of the website includes a large collection of Think Sheets that make great complements to the video. Each Think Sheet focuses on a single concept and is structured to incrementally guide a student through the concept. They make for great follow-ups to the video, good cooperative group activities, and inclusions in any lesson plan. The following Think Sheet allows students to practice the use of the lens equation and magnification ratio. Lens Practice And if you need source documents (Microsoft Words), extended licensing rights, and solutions, consider the purchase of our low-cost Solutions Guide download.

The Calculator Pad, Refraction and Lenses Chapter, Problem Sets RL14 - RL20
The Calculator Pad is a powerful tool to assist students in learning to solve Physics problems. Our collection of problems is organized into problem sets according to topic and difficulty level. The above sets target the use of the lens equation and magnification ratio. Students solve a problem and receive immediate feedback. Many problems are accompanied by an audio-help file that provides some details regardingi the solution; other problems consists of links to appropriate tutorial pages. Students can have multiple attempts on each problem, allowing them to correct their mistakes. Teachers with Task Tracker accounts can modify the problems sets, write their own problems, and track the progress of their students.

The Physics Classroom Tutorial, Refraction and the Ray Model of Light, Lesson 5, The Mathematics of Lenses
Our written tutorial pages form the basis of most videos. So when students need a quick reference, the Tutorial page is a great place to start. This page is a great written version of the video.

Lesson Notes

Download (opens in a new tab) or view below

Slides

Do you like the slides we used? They are available in our low cost Teacher Presentation Pack, along with other updated materials used in our presentation.