In this circles and ellipses instructional activity, students solve and complete 12 different types of problems. First, they find the distance between the given pair of points. Then, students find the center and radius of each circle and...

In this tangent circles instructional activity, students use pi to solve a problem involving tangent circles.  This one-page instructional activity contains 1 problem.  The answer is provided at the bottom of the page.

For this circles worksheet, 10th graders solve and complete 8 different types of problems. First, they find the measures of each segment given the center of a circle. Then, students find the length of a side of a triangle shown within a...

Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...

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...

Time for classes to show what they've learned. Use several tasks to assess understanding of the trigonometric functions, unit circle, radians, and basic trigonometric identities.

 A short assessment asks participants to find the original radius required to replace a table top. The problem provides a hypothetical situation of having a segment of a broken glass table top. Pupils find the radius of 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...

Long considered the symbol of safe harbor and steadfast waiting, the lighthouse gets a mathematical treatment. The straightforward question of distance to the horizon is carefully presented, followed by a look into the...

Scholars examine the application of torque in relation to motion by viewing a comprehensive presentation that explains the basic concepts related to torque and rotational motion. The lesson ends with examples showing how to calculate...

Students follow the directions on the attached worksheet to construct shapes using Geometer's Sketchpad. To start the lesson, it is suggested that the teacher guide the students through the initial problem. When constructions are...

In this unit circle worksheet, students find the sine, cosine, tangent, cotangent, and co-secant of given values. They determine the exact value of trigonometric ratios. Students convert from degrees to radians. This two-page worksheet...

Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...

Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.

Intercept the class's learning on circles. Pupils learn the relationship between intercepted arcs and inscribed angles. The scholars use that information to find the relationship of angles in an inscribed quadrilateral and an angle...

In this geometry learning exercise, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length.  The one page interactive learning exercise contains ten problems.  Answers are...

For this geometry worksheet, 10th graders apply the circle segment theorems to determine the indicated segment length. The one page worksheet contains twenty problems. Answers are not provided.    

Twelfth graders discuss centrifugal force, frictional force, and critical speed as it relates to the popular amusement park ride, the Gravitron.

In this pre-calculus worksheet, students solve for angles formed by a tangent line and a circle. There are 6 different worksheets containing 8-10 problems per sheet.

In this analysis review worksheet, students solve 3 complex inequalities, graph 2 absolute value inequalities, and write the equations for altitudes and tangent lines for 4 problems.

In this conic sections worksheet, 11th graders solve and complete 16 different types of equations. First, they find the equation of the conic that has a given focus and directrix. Then, students convert each given polynomial to standard...

In this calculus worksheet, students calculate the relationship between a line of tangency and a secant side length. They are given the formulas to solve their problems. There are 9 problems.

Students investigate circular motion in two different activities. In the first, students observe the path of a rolling marble on a paper plate. In the second, students play a game of catch using a tennis ball inside a plastic bag. ...

Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...