Tangents Teacher Resources

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In this tangent circles instructional activity, learners 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.
Students explore properties of tangent lines.  In this properties of tangent lines lesson, students discuss the perpendicular relationship between a tangent line on a circle and the circle's radius.  Students use that relationship to determine unknown distances.
This detailed lesson plan leads your learners through an investigation of the relationships between central, inscribed, and circumscribed angles of a circle. The opening activity reviews central and inscribed angles and their intercepted arcs by having learners create problems for a partner to solve. After discussing their solutions, learners work in small groups to complete a worksheet that contains five diagrams showing circles with angles formed by radii, chords, diameters, secants, and tangents. Referring to a list of possible description options, pupils determine the exact figures that form each angle, measure the angle with a protractor, then interpret the result in relation to the measures of the central angle and intercepted arcs.
Students explore the concept of geometry.  In this geometry lesson, students practice problems from the geometry regents exam.  Students answer practice problems that are multiple choice.  Students answer questions involving angle measures, parallel lines, shapes, congruent figures, circles, perpendicular lines, etc.
Learners explore the concept of sine and cosine. In this sine and cosine lesson plan, students use uncooked spaghetti to transfer lengths from the unit circle to a function graph on large butcher paper. Learners can graph the spaghetti in degrees or in radians.
Pupils 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 standard on tangent lines and circles. 
In this exploring circles worksheet, 10th graders solve 155 various types of problems that include exploring circles. First, they determine the circumference of a circle with a radius of the given length. Then, students create circle graphs with the given information. They also determine the measure of various angles and arc of a circle.
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.
Young scholars investigate the tangent line to a circle. In this geometry lesson, students draw tangent lines and note how many times a tangent line will intersect a circle. They compare between tangent and secant lines.
For this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a given tangent line. Then, students determine the lengths of the given line segments.
Students study the concept of tangent of a unit circle. In this unit circle lesson, students explore the mathematical history of the trigonometric ration, tangent, through an interactive date-gathering construction that simulates an experience that mirrors how values of trig functions may have been approximated.
Tenth graders explore and define the radius and diameter of a circle. In this geometry instructional activity, 10th graders calculate the circumference and area of a circle using real world objects and shapes. They discuss chords and lines tangent to a circle as it relates to tangency.
Students use Geometer's Sketchpad or Patty Paper Geometry to explore and write conjectures about chords, tangents, arcs and angles. In this geometric conjecture instructional activity, students examine what a conjecture is as it relates to geometric properties. Students explore central angles and inscribed angles while writing conjectures about the relationship between the measure of these angles.
Young scholars solve problems with circles and their properties.  In this geometry activity, students calcualte the diameter, radius, circumference and area of a circle. They identify the secant and tangent lines. They find the measurements of the chords.
Students explore the concept of circles.  In this circles lesson, student take sine and cosine values from the unit circle and plot them on a coordinate plane.  Students discuss the relationship between the sine and cosines graph and the unit circle. 
In this Descartes and tangent lines worksheet, students solve 4 short answer problems. Students use Descartes' method to find a tangent line to a curve.
Students explore the concept of the unit circle.  In this unit circle instructional activity, students create a scatter plot of the sine, cosine, and tangent function using data from the x and y values on the unit circle.  Students generalize the tangent, sine, and cosine relationships.
Students identify different locations on a unit circle. In this precalculus lesson, students identify the different trig properties and rewrite the equation of a circle in standard form. They use mnemonic devices to help them remember the different ratios of trigonometry.
Young scholars identify tangents, chords and secants. In this geometry instructional activity, students graph circles and identify angles created by secant lines, tangent lines and chords.
For this circle worksheet, students complete 8 problem solving questions regarding circle measurements and angles. Students are asked to show their proofs by using a computer program titled Geometer's Sketchpad.

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