Curves ahead! Develop a numerical measurement of curvy-ness. The class is challenged to come up with a definition of curvy that can be applied to curves. The class members use their defined measurement to describe a curve.

Here's an algebra II activity that strives to make the concept of a radian less abstract and more conceptual. It takes a hands-on approach to exploring the idea of a radian and allows individuals to develop a definition of a...

For this length of an arc and area of a sector worksheet, 10th graders solve and complete 12 different types of problems. First, they find the length of an arc in a circle with a given radius and central angle measure. Then, students...

This isn't rocket science, you know. A performance task has learners use right triangle trigonometry to calculate distances from stations on Earth to a satellite. It also requires finding the distance between two stations along the...

In this arcs and sectors worksheet, 10th graders solve and complete 2 different types of problems. First, they find the radius of a circle with a given circumference. Then, students find the perimeter of the given sector and the area of...

In this circles worksheet, 10th graders solve and complete 20 different problems related to various circles. First, they find the radius and diameter of a circle with a given circumference. Then, students determine the measure of each...

In this pi worksheet, students evaluate the curve of a quarter of a circle. They analyze the length of the curve, and explain that if the area under the curve is equal to pi, the length of the curve above is also equal to pi. Students...

For this geometry lesson, 10th graders break down a circle and identify the different parts. They discuss chords, diameter, radius, circumference, major and minor segment. There are 42 problems broken down into 5 different sections.

Shake up things in the classroom. The unit uses earthquakes to bring a real-life connection to finding arc lengths, logarithms, and equations of circles. Small groups determine whether particular towns would have felt an earthquake after...

No fair! I had to run more than they did! Young mathematicians first measure various lengths on a school track. They develop strategies and show calculations to prove that all participants will run the same length using a staggered...

The shortest distance from point A to point B is a straight line—or is it? Young scholars determine the shortest route either along a circular path or through the center of the circle. Learners gain a unique perspective on arc length and...

No need for radians to be mysterious. Scholars use a cardboard cut-out of a unit circle and measure the radius and circumference using a piece of string. They consider the number of radii needed to cover the entire circumference and use...

Serve up angle measurements on paper plates. Pupils use paper plates and paper-folding techniques to create a unit circle with conversions for special angles. Using their plates, learners explore the relationship between angle...

In this Geometry review worksheet, students describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...

Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...

See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...

Pre-Calculus has some detailed formulas involved and here is a great resource that lumps then all together for you. Broken up into rectangular, polar, and parametric sections, the conics all include formulas and graphs. 

A resource that makes for excellent group work as learners explore the area and perimeter of different complex designs made up of squares and circles. The commentary gives a clear definition of perimeter, but suggests that group members...

In this circles learning exercise, students solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.

Put the vertex in, put the vertex out. Pupils explore theorems about the relationships of lengths of segments and angles of line segments that intersect inside or outside the circle. Learners use the theorems to solve problems involving...

How can you formally assess understanding of circle concepts? Pupils take a mid-module assessment containing five questions, each with multiple parts.

In this circles worksheet, students determine the circumference and area of circles.  They compute the length of an arc and find the radius.  This one-page worksheet contains 6 multiple-choice problems.  This on-line...

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....

Twelfth graders define an arc and find its length. In this calculus lesson, 12th graders roll out a circle and measure its length using the same method of a triangle and its hypotenuse. They apply the Pythagorean Theorem to some...