Tangents Teacher Resources
Find Tangents educational ideas and activities
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Trig matching Game
Students investigate and use the unit circle. In this trigonometry lesson plan, students apply the ratios of trig functions to identifying the different angles represented by the unit circle. The play a game to reinforce this knowledge.
Conics as a Locus of Points A Cabri Jr. Activity
Students complete three activities exploring parabolas from geometric definitions. For this geometry lesson, students follow detailed directions to explore parabolas by exploring their relationship to circles.
In this algebra worksheet, learners calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.
Students explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them on a t-chart to form a sine graph.
The Overlooked Regular Pentagon
Tenth graders discuss the history of geometry as it relates to pentagons. In this geometry lesson, 10th graders solve problems of a pentagon inscribed inside of a circle using ratio. They review other properties for shapes of polygons inscribed inside of a circle.
Arc Length Lesson
Learners find the length of the arc of a circle. In this geometry lesson, students calculate the length of an arc and find the measure of the central angle given the length of the arc. They convert between linear and angular speed. They find the distance, given the speed, radius and time.
The Theorem of Pythogoras
In this geometry worksheet, students solve right angle triangles using the Pythagorean Theorem. They calculate the area and sides of triangles and circles. There are 52 questions total.
Math 53 Worksheet: Parametric Equations
In this parametric equations worksheet, students solve 8 short answer multi-step equations. Students find parametric equations to represent equations of circles. Students find arc length of parametrized curves.
Students investigate trigonometric identities. In this calculus lesson, students draw graphs of sine, cosine and tangent and identify the six trigonometric functions.
Estimating Pi as a Length
In this pi learning exercise, 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 convert a sum written in summation notation into a Riemann sum. Students compare two strategies for computing estimates of arc length.
Explore the concept of tangent lines. In this tangent line instructional activity, learners graph a circle and two lines on their graphing calculator using Cabri Jr. Students construct the lines so that they both intersect at a given point and are both tangent to a circle at two different points. Students measure angles and determine what type of angle is formed by the tangent line and the radius of the circle.
Write the Parts of the Circle in the Place Holders
For 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.
The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Unit Circle-Trigonometric Functions
Students explore trigonometric functions. In this trigonometry vocabulary review instructional activity, students match trigonometric definitions with a numeric equivalent. Students use trigonometry cards (provided) to play "Memory" or "Go Fish" with a partner.
In this circles worksheet, 10th graders solve and complete 13 various types of problems. First, they solve each set of triangles for the given variable. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency, and a chord in the circles shown.
In this tangent lines worksheet, 10th graders solve and complete 13 various types of problems. First, they solve the right triangles for the variables shown. Then, students name a radius, a diameter, a tangent, a secant, a point of tangency and a chord in the circle illustrated.
In this tangents worksheet, high schoolers determine the length of a missing side of a right triangles. They use tangent lines to solve problems. This two-page worksheet contains 11 multi-step problems.
Angles in Circles
In this angles in circles learning exercise, 10th graders solve 10 different problems that include tangents and chords and intersecting chords. First, they find x when given 2 intersecting chords. Then, students determine x given the diameter that is perpendicular to a chord. They also determine the measure in degrees of the arc of the outside edge of the part of circle.
Circles Terminology Multiple Choice
In this circles worksheet, learners solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.