Students examine telescope construction. In this telescope lesson, students examine the lenses used in telescopes by exploring with convex and concave lenses.

Construct a three-dimensional optical illusion when your class is exploring vision and how the eye and brain work together. Three concave corners are mounted inside of a black box, but as a light is shined upon them, they appear to be...

Polly want a polygon? Young mathematicians sort shapes using an interactive. They classify the shapes as convex polygons, concave polygons, or not polygons.

For this intervals worksheet, students solve and complete 8 various types of problems. First, they find the intervals of x for each curve. Then, students sketch a graph of each showing all maximum and minimum points and all inflection...

In this polygons worksheet, 10th graders solve 18 various types of problems related to different forms of polygons. First, they state the number of sides for each convex polygon and then, use the polygon shown to respond to each of 6...

In this math vocabulary worksheet, students read clues and rearrange given letters to identify the described vocabulary word.  This one-page worksheet contains 8 problems.  Answers are provided.

Everything you could possibly want to know about quadratic equations, all in one resource. Instructors demonstrate how to translate between different forms of quadratics (equation, table of values, graph, verbal description) and finding...

How do contact lenses work? The simulation allows young scientists to explore focal length and lens type to see how and why contact lenses work. Pupils control the focal length for an eye and a lens, the type of lens, and the distance...

What better way to learn how to use a microscope than building your own? A lab investigation has scholars use lenses from magnifying glasses and sheets of cork to design their own compound microscopes. They calculate focal length...

Illuminated physics stars show what they know about light by taking this exam. They match several related vocabulary terms to descriptions and answer multiple choice questions about the characteristics of light, magnification, and...

In this math worksheet students use the intermediate value theorem to solve two problems. They find parallel lines that will cut a convex shape into two pieces with equal areas. Students repeat this problem with a concave shape. Students...

In this optics worksheet, students read about refraction and reflection, lenses and mirrors, and objects and images. They answer 13 matching questions about light rays, light behavior and types of lenses. They also answer 9 questions...

In this math worksheet, students read the examples for using the techniques of mathematical modeling. They draw the angles in order to simulate the reflection of light while using a concave mirror.

For this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.

High schoolers analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.

You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...

Don't worry, optics is a light topic! The presentation covers reflection, refraction, fiber optics, mirages, prisms, rainbows, dispersion, mirrors, lenses, telescopes, diffraction, the human eye, and much, much more. Presentation is...

Explore the connection of light, reflection, and mirrors. A comprehensive lesson introduces the basics of light in relation to reflection and mirrors. After an explanation of the vocabulary, the presentation shows how to create ray...

Time to put it all together in one sheet—well five. Pupils review all the topics presented in the resources for Analytical Applications of Differentiation. The five pages summarize the concepts with explanations and examples.

Students learn to differentiate between different types of lenses. In this lens lesson, students discover how lenses are different and why a specific lens should be used. Students understand how to find the focal point of a lens....

Students discuss the process involved in increasing and decreasing functions. In this calculus lesson plan, students analyze functions based on increasing, decreasing, constant, concave up, concave down and point of inflection. They base...

Your class might be surprised to learn that mirrors have been around since the first century AD! Young scientists explore reflection and refraction of light through a series of challenges. They use this knowledge to design their own...

In this interval worksheet, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page worksheet...

In this polygon worksheet, students find the sum of the interior angles of a polygon. They determine the perimeter of equilateral figures, identify concave and convex figures and explore the characteristics of equilateral, equiangular...