Connect the dots to graph a linear function. Young mathematicians use an interactive to first plot provided points on a coordinate plane. They connect these points with a line and then answer questions about the slope and y-intercept of...

Compare and contrast the four types of transformations through constructions! Individuals are expected to construct the each of the different transformations. Although meant for a review, these examples are excellent for initial...

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...

Classify this resource into the "Use" pile. Scholars use an interactive coordinate plane to plot polygons given coordinates for the vertices. They use properties to classify each polygon and answer a few challenge questions regarding the...

Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.

Motion is the focus of ten hands-on activities that challenge scholars to build machines invented by Leonardo da Vinci. Following several steps, small groups work collaboratively to recreate machines including levers, pulleys, wheels,...

Pupils figure out how to be resourceful when tasked with finding the area of a triangle knowing nothing but its endpoints. Beginning by exploring and decomposing a triangle, learners find the perimeter and area of a triangle. They...

Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...

How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...

When algebra and geometry get together, good things happen! Given a system of inequalities that create a quadrilateral, learners graph and find vertices. They then use the vertices and Green's Theorem to find the area and perimeter of...

What can a mural teach pupils about computer science? The lesson has scholars create a mural on a wall to learn about bitmap and vector graphics. Along the way, they learn about the graphics coordinate system.

Keep everything under control. The lesson plan, the 16th segment in a 22-part unit, provides a more detailed look at the parts of a plane, specifically the control surfaces. Pupils learn about the construction of the wings and the tails...

Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...

Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...

What, you mean there is algebra in a Geometry class? Pupils review graphing and writing the equations of lines in slope-intercept form. The instruction follows the "I do, we do, you do" framework of a lesson. The instructor first...

Find quadratics in the world. Learners select ways to compare and contrast linear and quadratic functions and how to demonstrate knowledge of parabolas in the world. Teachers assign a third task challenging individuals to find equations...

How different can 3-D and 2-D really be? An engineering resource provides an explanation about the importance of two-dimensional technical drawings. Several samples show how to create multi-view drawings from pictorials and...

It's time to see the light  with a unit that focuses on light and geometric optics, including concave and convex mirrors. A variety of experiments, worksheets, and online activities are included. 

What is a prism? A place for light waves that commit minor refractions! The thorough resource includes three hands-on investigations covering light reflection and refraction; mirrors, lenses, and images; and optical systems. Subject...

The nth roots of unity all have a magnitude of one. Scholars use the unit circle and DeMoivre's Theorem to find the complex roots of one and discover that the complex numbers all lie on the unit circle and are equally spaced around it...

Learners consider a set of questions to determine a series of transformations that will move one figure to another. Once the series is determined, the pupil then determines whether the pre-image and image are either congruent...

Cover one-point perspective through observation and practice. Class members examine several works of art that use one-point perspective, look at magazine images to find the vanishing points and horizon lines, and draw their own city...

To commute or not to commute, that is the question. The 26th segment in a 32-segment activity focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...

Anyone can draw a square, but can you CONSTRUCT a square? Here is a resource that challenges math scholars to create steps to finish their own construction. They test their ability to read and follow directions to complete a construction...