Tangents Teacher Resources

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Tenth graders define the properties of tangent and secant lines. In this circles lesson, 10th graders use two lines and a circle to find ways that they relate by illustrations. Students also investigate lines that intersect at the center and lines intersecting inside the circle but not at the center.
Investigate the properties of a Unit Circle, wahoo! Your class will memorize the basic identities of sine, cosine, and tangent. Then those smart cookies can investigate the negative of an angle measure using sine and cosine. Included are a series of critical thinking questions and vocabulary list is included.
Students solve problems using trig values. For this trigonometry lesson, students identify the six trigonometric values. They graph the functions of sine, cosine and tangent.
In this geometry worksheet, students identify the point of tangency on an inscribed circle. They solve problems involving circumscribed triangles and circles. There are 9 questions.
High schoolers graph and identify tangent lines. In this geometry lesson, students graph a circle and a line tangent to it. They identify the slope of the line.
Fifth graders use sin to solve problems involving right-angled triangles, Solve equations of the form sin(++) = a, for a between -180++ and 360++. They State and graph the value of sin(++) in special cases. They describe some of the ways in which the sine, cosine and tangent functions are related.
Ninth graders, after being given a unique scenario and a task sheet on Dead Man's Curve, calculate and explain the force needed to keep a car on a curve using a set of formulas and a geometric property of circles. They utilize and create appropriate strategies and formulas with geometric circles to clearly state what was done and why it was done.
In this area worksheet, students solve for the area of rectangles, parallelograms, triangles, trapezoids, kites, regular polygons, circles, and surface area.  The worksheets is divided into seven different sets of problems.
In this review of trigonometry worksheet, students determine the values of angels using sine, cosine, and tangent.  They determine arc length and find the coordinates of endpoints.  This two-page worksheet contains approximately 70 problems.
Students investigate sine and cosine. In this trigonometry instructional activity, students graph the functions of sine, cosine and tangent. They identify the period, and phase and relate it to a unit circle.
Students investigate the properties of circles. In this geometry instructional activity, students calculate the area and perimeter of a triangle. They identify the perimeter and radius length of a circle.
Students calculate the different ratios using a right triangle. In this trigonometry instructional activity, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Pupils identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Explore the concept of tangent lines. In this tangent line lesson, 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.
Learners 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.
Students analyze inscribed angles and intercepted arcs and explore the relationships between the two. They investigate the properties of angles, arcs, chords, tangents, and secants to solve problems involving circles.
Students discuss the sum of central angles and use string to create them on circles. They find the measure and length of both minor and major arcs. Students give examples of concentric, similar, and congruent circles and congruent arcs.
Students draw diagrams demonstrating how it is possible to two central angles to be congruent and their minor arcs are not congruent. In groups, they illustrate theorems with their constructed circles, create diameters of circles that are perpendicular to a created chord, and create two congruent chords.
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.

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