Which function models the data best? Pupils work through several activities to model data with a variety of functions. Individuals begin by reviewing the shapes of the functions and finding functions that will fit plotted data points. By...

The accuracy required by the design and measurement of an Olympic running track will surprise track stars and couch potatoes alike. Given a short introduction, the class then scaffolds into a detailed analysis of the exact nature of the...

Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. In this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of...

In this geometry learning exercise, students calculate the radius of the smallest possible circle that contains the figure provided.  The complete solution is provided by clicking on the "show solution" button found below the problem.

Students differentiate between the different properties of arcs, arc lengths, chords, and chord lengths. In this circles lesson, students calculate the arc length of a given circle, and find the measure of the inscribed angles of a...

Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!

In this surface area of spheres worksheet, students solve 4 short answer problems. Students find the surface area of spheres, hemispheres, and cones given a radius or a radius and height.

Tenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page worksheet contains twenty-five problems. Answers are not provided. 

Young scholars study the properties of circles. In this circles lesson, students read a word problem about circles. Young scholars watch a video about the activity and then practice drawing the circle solution to the problem. Students...

Learners view two PowerPoints and practice computing the area and circumference of circles. They must use given formulas to make their computations. The lesson includes links to both PowerPoints as well as a worksheet (with answer key).

Go around and around in your physics class with this presentation on circular motion. Diagrams bring the definition to life. Formulas for angular acceleration, centripetal force, gravitation, and potential in a radial field are given....

In this perimeter learning exercise, students find the perimeter of a circle.  This two-page learning exercise contains 4 problems.  Answers are provided on the last page.

In this geometry worksheet, 10th graders solve application word problems based on knowledge of a circle. The one page interactive worksheet contains four questions. Answers and hints are included. 

For this parts of a circle worksheet, students check the correct answer, describing the labeled part of a circle as either diameter, chord, radius or center.

Come full circle in learning about conic sections. Learners first look at the type of conic section formed when concentric circles intersect a standard coordinate plane. They then see which type forms when two sets of concentric circles...

Model a bicycle chain with circles and tangent lines. Given the dimensions of the sprocket wheels, young scholars calculate the length of the chain that surrounds them. A second task has learners write a function for the length of a...

Circles, and triangles, and tangents, oh my! In the assessment task, learners first answer questions leading to the radius of an inscribed circle for a given right triangle. They then use the result to independently determine the...

What's so special about tangents? Learners first explore how if a circle is tangent to both rays of an angle, then its center is on the angle bisector. They then complete a set of exercises designed to explore further properties and...

Learners solve and graph 10 different problems that are the inverses of various trig functions. First, they determine which equation is equivalent to a given equation. Then, they find an angle of a right triangle, given its leg lengths....

Apply geometric concepts to a design problem. Individuals examine the structural setup of the chain on a bicycle and use the measurements of the circles to determine the length of the chain. 

Not all structures take the shape of a polygon. The 21st lesson in a series of 29 shows young mathematicians they can create polygons out of composite shapes. Once they deconstruct the structures, they find the area of the composite figure.

In this orbit of stars in galaxies learning exercise, students are given an equation that models the orbital speeds of stars as they relate to their distance from the nucleus of a galaxy. Students solve 5 problems using this equation and...

For this proofs worksheet, students construct 1 proof of the law of cosines.  Students construct a right triangle within a circle to  prove the law of cosines.

For this graphs of circles worksheet, 10th graders solve and graph 10 different problems related to graphing various types of circles. First, they write the equations of a circle with a given center and radius. Then, students determine...