This task focuses on a fact which comes out of the construction of the inscribed circle in a triangle: the angle bisectors of the three angles of triangle ABC all meet in a point. Aligns with G-C.A.3.

Students will be introduced to right triangle trigonometry. They will use the TI-89 and Geometer's Sketchpad to construct a right triangle and calculate sin, cosine, and tangent of various acute angles.

In this task, students are shown a line segment that is bisected at a right angle by a second line. They are asked to prove statements about this geometric construction. Includes a GeoGebra worksheet that can be used by the instructor to...

The purpose of this task is to explore reflections in the context of paper folding. Each fold is associated with a line of reflection and understanding each step in the construction requires careful analysis of angles and of the...

Students construct chords, secants, and tangents. From those constructions, they develop a deeper understanding of the terms, as well as explore certain properties of the constructions.

You have been asked to place a warehouse so that it is an equal distance from three roads on a map. Young scholars must fold a paper so that this point is where two folds intersect, and they must explain why their construction works and...

This unit helps students learn to apply the concept of solar energy conservation. They are introduced to angles and their effect on the amount of light reflected, and they will also design, construct, manipulate, critique, evaluate and...

This is a lesson plan of paper folding as a method of proof. A Java applet version of the activity can be accessed, giving the actual lengths and angle sizes.

Practice using your graphing calculator for measuring and constructing polygons and other plane figures. If you get stumped or if you would like to check your work, then select the View Solution button, which is located directly under...

Join Otto at the Phantasia construction site. Will you help him build a new playground?

The students will be split into small, cooperative groups and build a city following specific guidelines. The students will learn how a city is constructed with angles, intersections, parallel, intersecting, and transversal streets. They...

How to measure angles by using a piece of a square paper. Step by step instructions are provided.

From the San Francisco 49er's Museum Education Program which promotes STEAM concepts, students construct a three dimensional (3-D) artifact stand that is the exact replica of "The Catch" which is 70 inches high. Emphasis is placed on...

Simple machines are devices with few or no moving parts that make work easier, and which people have used to provide mechanical advantage for thousands of years. Students learn about the wedge, wheel and axle, lever, inclined plane,...

For this biology field lab exercise, students conduct a stationary population study of goldenrod galls. They examine a host of factors including goldenrod plant density, goldenrod gall density, gall height, gall mass, larval exit hole...

Students learn how the aerodynamics and rolling resistance of a car affect its energy efficiency through designing and constructing model cars out of simple materials. As the little cars are raced down a tilted track (powered by gravity)...

Through ten lessons and numerous activities, students explore the natural universal rules engineers and physicists use to understand how things move and stay still. Together, these rules are called "mechanics." The study of mechanics is...

This lesson plan shows students how to construct a rocket using pipe insulating foam. Students will investigate the relationship between launch angle and range when launching their rockets powered by rubber bands.

In this activity, students will explore the concepts underlying the Triangle Inequality Theorem by comparing side lengths and angle measures of a triangle. They will use an interactive construction to see why this theorem is true.

In this activity, students construct isosceles and equilateral triangles. They discover that if two sides of a triangle are congruent, then the angles opposite them are congruent. They understand that an equilateral triangle is also...

In the school courtyard, students will measure the apparent path of the sun across the sky using a toilet plunger. Students will then generate questions as to why the sun appears to move, and what is really happening in the process. We...

In Spanish. In this interactive activity you can understand and know how to apply direct and inverse homothety to simple shapes, apply Thale's theorem, construct similar polygons and work out their related measurements and know how to...

A geometry instructional activity that examines the history and structure of ancient pyramids and engages students in constructing pyramid models. A comprehensive instructional activity that considers students with diverse learning...

This lab is designed to allow students to look at the factors affecting the angle at which constructive interference occurs for waves passing through a two slit diffraction grating. This video helps explain the problem:...