Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
Worksheet
Curated OER

Circle Terminology

For Students 7th - 12th
In this geometry activity, students identify radii, diameters, chords, tangents, secants and other terminology associated with circles.  The one page activity contains eighteen problems.  Answers are not provided. 
Worksheet
Curated OER

Circle Proofs

For Students 10th
In this circle proofs worksheet, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 2

For Teachers 11th - 12th Standards
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson plan in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the...
Lesson Plan
EngageNY

Secant and the Co-Functions

For Students 10th - 12th Standards
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
Lesson Plan
Curated OER

Worksheet 7 - Asymptote

For Teachers Higher Ed
In this asymptote worksheet, pupils compute limits, graph vertical asymptotes, and find the slope of the secant line. This one-page worksheet contains six multi-step worksheets.
Worksheet
2
2
Mt. San Antonio Collage

Graphing Trigonometric Functions

For Students 9th - 12th Standards
Double win with a comprehensive worksheet and an excellent worked out answer key. The worksheet itself is twelve pages and begins with the simple sine and cosine graphs, then, develops into the reciprocal trig functions. 
Lesson Plan
Curated OER

Measuring the Earth

For Teachers 10th - 11th
Learners 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.
Interactive
Curated OER

Segment Formulas Multiple Choice

For Students 10th
In this geometry learning exercise, 10th graders use the theorems regarding circles and tangents to find the indicated missing segment length.  The one page interactive learning exercise contains ten problems.  Answers are...
Worksheet
Curated OER

Angle and Radian Measure

For Students 9th - 10th
In this angle and radian measure worksheet, students find the measurement of a central angle. Students determine the speed of rotation, linear speed of a point, and radians per second. This two-page worksheet contains twelve problems. ...
Worksheet
Curated OER

Seven Sets of Area Problems

For Students 10th - 11th
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.
Lesson Plan
Curated OER

Equations of Lines

For Teachers 10th - 11th
Students define slope, and practice finding the slope of lines through given points. They determine the angle of inclination. Students find the relationship between the slope and the tangent of the lines. Students determine special...
Lesson Plan
Curated OER

Solving Problems Involving Chords, Radii, Tangents, Secants and Arcs within the Same Circle

For Teachers 10th
Tenth graders apply their knowledge of angles related to a circle, radii, secants, tangents and chords of a circle. They practice using formulas related to a circle. They also apply what has been practiced to real life situations.
Lesson Plan
Curated OER

Intersecting Lines and Segments of Measures

For Teachers 8th - 12th Standards
Mathematicians measure intersecting lines-and circles, and create chords. In this geometry lesson plan, students explore interrior and exterior chords created by tangent and secant lines. These segments can be inside the circleor outside...
Worksheet
Curated OER

Applications of Derivatives: Concavity and Optimization

For Students Higher Ed
In this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...
Lesson Plan
Curated OER

Math: Tangents

For Teachers 9th - 10th
Pupils discover how to recognize tangents and how to use their properties. They investigate and use the properties of angles, arcs, chords, tangents, and secants. Students use two tangents and the properties of similar triangles to...
Lesson Plan
Curated OER

Unit Circle Triangle

For Teachers 11th - 12th
Students find the different ratios of a right triangle. In this geometry lesson, students apply the concept of the Pythagorean theorem as they identify the different angles and parts of a Unit Circle. They find the ratios of sine,...
Lesson Plan
Curated OER

Arc Length Lesson

For Teachers 9th - 11th
Students find the length of the arc of a circle. For 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...
Lesson Plan
Curated OER

Angles in Standard Positions

For Teachers 9th - 11th
Young scholars identify positive and negative angles using the Unit Circle. In this pre-calculus instructional activity, students identify the different angles on a unit circle using the coordinate plane and the four different quadrants...
Lesson Plan
Curated OER

Kinematics of the Planar Continuum Snake Robot

For Teachers 9th - 12th
Students calculate the length of an arc that surrounds an angle at the center of a circle of radius.  In this kinetic equations lesson students complete a lab and solve a kinematic equation.
Lesson Plan
Curated OER

Circular Motion

For Teachers 12th
Twelfth graders discuss centrifugal force, frictional force, and critical speed as it relates to the popular amusement park ride, the Gravitron.
Worksheet
Curated OER

Volume and Surface Area

For Students 10th
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume and total surface area of a given circle. Then, students find the height and radius of a cylinder...
Lesson Plan
Curated OER

Solving Intercepted Arcs

For Teachers 9th - 11th
Students investigate circles and its arcs. In this geometry lesson, students identify the relationship between an circle and its intercepted arcs. THey identify the central and inscribed angles.