Tangents Teacher Resources
Find Tangents educational ideas and activities
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Three Tangent Circles
In this tangent circles worksheet, students use pi to solve a problem involving tangent circles. This one-page worksheet contains 1 problem. The answer is provided at the bottom of the page.
Angles in a Circle
This detailed lesson plan leads your students 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 properties of tangent lines. In this properties of tangent lines lesson plan, 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.
New! Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine the current storage capacity and design a new storage facility to use for an anticipated increase in production. The activity uses knowledge of the Pythagorean Theorem, area of a circle, properties of triangles, understanding of volume, unit analysis, and percentage increase.
Graphs from the Unit Circle
Young scholars explore the concept of sine and cosine. In this sine and cosine lesson, students use uncooked spaghetti to transfer lengths from the unit circle to a function graph on large butcher paper. Young scholars can graph the spaghetti in degrees or in radians.
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.
Off on a Tangent, Constructing Tangents
Students 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.
Young scholars 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.
Tangents, Secants, and Chords
In 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.
When is Tangent, tangent?
Students study the concept of tangent of a unit circle. For 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 lesson, 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.
Chords, Tangents, Arcs and Angles
Learners use Geometer's Sketchpad or Patty Paper Geometry to explore and write conjectures about chords, tangents, arcs and angles. In this geometric conjecture lesson, students examine what a conjecture is as it relates to geometric properties. Learners explore central angles and inscribed angles while writing conjectures about the relationship between the measure of these angles.
Students solve problems with circles and their properties. In this geometry lesson, 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.
Graphing In Circles
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.
Worksheet 3: Descartes and Tangent Lines
In this Descartes and tangent lines instructional activity, high schoolers solve 4 short answer problems. Students use Descartes' method to find a tangent line to a curve.
Graphing in Circles
Learners explore the concept of the unit circle. In this unit circle lesson, students create a scatter plot of the sine, cosine, and tangent function using data from the x and y values on the unit circle. Learners generalize the tangent, sine, and cosine relationships.
Unit Circle Lesson Plan
Students identify different locations on a unit circle. In this precalculus instructional activity, 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.
Circles and Angles
Students identify tangents, chords and secants. In this geometry lesson, students graph circles and identify angles created by secant lines, tangent lines and chords.
More Circle Conjecture & Proof
In this circle activity, learners 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.
In this Pre-Calculus worksheet, students solve problems involving angles and the unit circle. The four page worksheet contains a combination of twenty multiple choice and free response problems. Answers are provided.