Tangents Teacher Resources

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Students explore constructions.  In this construction lesson, students use the NSpire software to create families of similar polygons.  They measure their constructions and explore intersecting circles, tangent lines and squares.  Students discuss the similarities between the sketches they create.
Students identify positive and negative angles using the Unit Circle. In this pre-calculus lesson plan, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants as a guide. They calculate the basic trigonometric functions.
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.
Students complete three activities exploring parabolas from geometric definitions. In this geometry lesson, students follow detailed directions to explore parabolas by exploring their relationship to circles.
In this algebra instructional activity, students 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.
Learners explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. Learners 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.
Learners investigate the properties of segments formed which chords, secants, and tangents, intersect. The dynamic nature of Cabri Jr. allows high schoolers to form and verify conjectures regarding segment relationships.
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.
Students 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.
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.
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.
Young scholars investigate trigonometric identities. In this calculus lesson, students draw graphs of sine, cosine and tangent and identify the six trigonometric functions.
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 convert a sum written in summation notation into a Riemann sum. Students compare two strategies for computing estimates of arc length.
Young scholars explore geometry by completing worksheets in class. In this angles lesson plan, students identify the difference between a right angle, obtuse angle and acute angle. Young scholars practice finding the sine, cosine and tangent ratios of triangles on a math worksheet.
Students are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also review basic algrebra terminology that could be useful in the present.
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain for the function. Students switch from measuring angles in degrees to radians.
High schoolers identify chords and angles. In this geometry lesson, students calculate the length of the chords inside and outside of-the circle. They differentiate between tangent and secant lines.
Students calculate the perimeter of polygons. For this geometry lesson, students identify different shapes based on their number of sides. They define a circle and identify the secant and tangent lines as it relate to the circle.
Students are able to use given information to calculate missing information. In this trigonometry lesson, students identify the relationship between sine, cosine and tangent graphs. They examine the graphs for zeros and asymptotes.

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