Students go through various construction techniques needed to bisect angles, lines and arcs, construct a perpendicular from a vertex to a line, construct the center of a circle, transfer an angle, and various other constructions normally...

Eighth graders perform experiments with simple machines and write up the results. They research the construction of the step pyramid and the three pyramids at Giza. Students research how the ancient Egyptians used simple machines in...

Fourth graders calculate the angles and construct a pie graph of the percentages of the elements in the continental and oceanic crusts. Then they analyze the results. They can be assigned the task of researching the percentages.

Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that...

Students discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...

Middle schoolers measure the angles of a milk carton. They identify and label acute, right, and obtuse angles. Using appropriate tools, students determine the volume of a cube or a rectangular prism. Middle schoolers complete...

Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...

Students discuss the relationship between technology and manufacturing. They then use their ideas to construct a model of a paper board carton package. Next they view a PowerPoint presentation to learn about the history of packaging...

Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...

Students use problem solving skills, formal geometry, and The Geometer?s Sketchpad. They model and solve two real-world problems by constructing the in center and circumcenter of triangles.

Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...

Young scholars explore the relationship between flat and three-dimensional shapes. They identify the names of 3-D shapes and construct cubes from squares.

Learners construct models of various tricubes, tetracubes, and pentacubes that are possible, classify n-cubes into different groupings, and draw these figures on isometric dot paper giving true perspective to what they visualize.

Students identify the differences between non-renewable and renewable energy sources. They construct a PVC wind turbine and design a set of blades to extract as much energy as possible from low and high wind conditions.

Students explore earthquakes. They build and test models to see if they will withstand an earthquake. Students explain their reasons for constructing buildings in a particular manner.

Students determine that moving charges create a magnetic field. They discover that the speed and direction of motion, the amount of charge, and the deflection angle observed are closely linked. A voltmeter, pendulum, and a constructed...

Middle schoolers construct a barrel or other curvy container and then estimate and gauge its volume.

Students complete a lab that introduce the scientific concept of climate on Earth. Following the lab, they complete further research on climate. Using average monthly temperatures students construct a mathematical model and analyze the...

Students construct the tangram pieces from a square paper by following directions to fold and cut. They make observations on the pieces formed and compare how they are related to each other. They explore patterns and shapes with the...

Students compare the news angle, information sources and construction of different news reports about the Russian school hostage crisis. Based on what they explore the event and about reporting breaking news, they write an analysis of...

Students relate the colors in a garden to those in a rainbow by creating a multicolored three-dimensional garden portrait. They read, "Planting a Rainbow" by Lois Ehlert, then construct their garden with colored paper on white cardstock.

Learners use translations, rotations, and reflections to create tessellations. They explore and construct several different types of tessellations including pure/semi-pure and non-regular polygon and "Escher-like" tessellations .

Students define potential and kinetic energy and explain the relationship of height to potential energy.  In this roller coaster lesson students construct a model of a roller coaster which will allow them to see the basic physical...

Students measure the height of items using an astrolabe.  In this latitude lesson students construct a sextant and determine height and latitude with it.