In this writing equations worksheet, students examine given information and write the equation of a circle in standard form. This four-page worksheet contains 30 problems. Answers are provided on the last page.

The slope makes a difference. Given an equation of a circle and point, scholars determine the relationship of the slope of a line through the point and the number of intersections with the circle. After graphing the relationship, pupils...

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

In this angles in circles worksheet, students explore angles outside a circle. Using given trigonometric ratios, they find the missing angle measurement or the length of a line. This one-page worksheet contains ten problems.

Learners 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...

Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...

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....

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.

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...

Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson plan, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor outside...

Learning about tangents doesn't have to be a slippery slope. Pupils drag a point around a unit circle to see how angle affects the slope of a line. They individually answer a set of challenge questions to come to the conclusion that...

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.

To better understand that the intersection point of two lines lies inside a circle, learners use their keen measurement skills. They discuss arcs, rays, tangent lines, and reflex angles. Then, they put their skills to work as they...

In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.

In this circle worksheet, students solve problems involving the circumference, area and arc length in a circle. They explore the union of circles and semicircles, as well as the line segments tangent to the circle. This two-page...

In this parts of a circle worksheet, students place the names of 6 different parts of a circle in rectangular place holders. They use labels such as cord, secant, diameter, radius, tangent, and center.

In this online worksheet, 11th graders solve 1 challenge problem, where they must determine the diameter of a circle given different variables. The problem is printable and a solution is available.

In this geometry activity, students identify given statements for the inverse, converse and contra-positive of a conditional statement. There are 9 questions with an answer key.

Students are given diagrams and are asked to make a conjecture. In this geometry lesson, students make conjectures of circles. They complete a lab activity to reinforce making conjectures. The first activity addresses a common core...

Trigonometry teachers often go off on a tangent, and here's a instructional activity that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area...

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. 

Graphing paper, pencil, ruler, protractor, and compass, all get replaced or supplemented with this dynamic geometry application. Here, you can create, move, and scale many different shapes, as well as, explore and change their properties...

Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...

In this tangents and circles worksheet, 10th graders solve 10 different problems that include various tangents and circles. First, they determine in each diagram whether the segments shown are tangents or not. Then, students determine...