Lesson Plan
Curated OER

Exercise Set 5.1: Trigonometric Functions of Real Numbers

For Teachers 10th - 12th
In this trig functions worksheet, students find the trig values of 46 problems.  Students find the trig values of various radian measures.  Students use trig properties to prove trig identities.
Worksheet
Curated OER

Ten Trigonometric Review Problems - Calculator Required

For Students 11th - Higher Ed
In this trigonometry review worksheet, students convert between radians and degrees, sketch angles, evaluate trig. functions, solve for missing angles, and find the functions that satisfy the given conditions.
Worksheet
Curated OER

Logarithmic Expressions

For Students 10th - 11th
In this logarithmic expression worksheet, students use the properties of logs to write given expressions in expanded form. They solve logarithmic functions. This one-page worksheet contains ten problems.
Interactive
Curated OER

Graph a csc Trigonometric Function

For Students 11th - Higher Ed
In this trigonometry function learning exercise, students graph one csc function with transformations.  A grid for graphing is provided. 
Lesson Plan
Curated OER

Using Technology to Represent Mathematical Identities

For Teachers 11th - Higher Ed
Students explore the concept of trig identities. In this trig identity lesson, students use Mathematica to graph trig identities. Students see the trig identities graphically and enforce the notion that two trig functions can be equivalent.
Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
Worksheet
Curated OER

Review Quiz before Mini-Exam

For Students 9th - 12th
In this pre-calculus review worksheet, students solve 28 multiple choice problems. Students find the trigonometric values of various angles, find the eccentricity of an ellipse, use trigonometric identities solve compounded interest...
Lesson Plan
Curated OER

Solving Right Triangles

For Teachers 10th - 11th
Students investigate the basic trigonometric functions.  In this geometry/trigonometry lesson, students explore strategies to solve right triangles using basic trigonometric functions.  The lesson includes an application...
Worksheet
Curated OER

Inverse Trigonometric Values

For Students 11th - 12th
In this trigonometry worksheet, students solve functions using the properties of inverse trig. They write out the 6 trigonometric functions in standard position and solve for missing angles. There are 15 questions.
Worksheet
Curated OER

Even More Calculus

For Students 12th
In this calculus worksheet, 12th graders differentiate and integrate basic trigonometric functions, calculate rates of change, and integrate by substitution and by parts.  The twenty-two page worksheet contains explanation of the...
Worksheet
Curated OER

Graphing

For Students 11th - 12th
In this graphing worksheet, students solve and complete 8 different types of problems. First, they graph each set of axes completely. Then, students label the axes and shown a table of their results. In addition, they determine the cycle...
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the...
Worksheet
Curated OER

Algebra 2 and Trigonometry Practice Series #4

For Students 10th - 12th
For this sum of a series worksheet, students complete 6 multiple choice problems relating to the topic. They create an infinite series that converges to -2. Students graph one function on their graphing calculator.
Lesson Plan
Curated OER

Solving Trigonometric Equations

For Teachers 9th - 12th Standards
Pupils will investigate trigonometric equations. In this trigonometry lesson, they explore solving equations using a TI-83 calculator and solve trigonometric equations by graphing each side of the equation as a function and locating the...
Worksheet
Curated OER

Trigonometric Ratios

For Students 10th
In this trigonometric ratios worksheet, 10th graders solve 9 different problems that include determining the trigonometric ratios of each triangle. First, they determine the sides and angles of a right triangle that is shown in each...
Worksheet
Curated OER

Graphing Trig Functions

For Students 11th
In this graphing trigonometric functions instructional activity, 11th graders solve and complete 10 various types of problems. First, they graph each functions as shown. Then, students find the domain in each given function. In addition,...
Worksheet
Curated OER

A.P. Calculus - First Semester Esxamination

For Students 11th - 12th
In this calculus exam worksheet, students solve 40 multiple choice and short answer questions.  Students find normal lines, derivatives of functions, evaluate functions at points, etc.
Worksheet
Curated OER

Challenge Discussion Sheet 2

For Students Higher Ed
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
Worksheet
Curated OER

Week in Review 3

For Students 11th - Higher Ed
In this advanced math learning exercise, students calculate work, average value of a function, and integrate various functions with respect to x. There are 16 questions.
Worksheet
Curated OER

Review Integration

For Students 11th - 12th
For this integration worksheet, students integrate 16 functions. Students take the integral of functions using partial fractions and uv substitution.
Worksheet
Curated OER

Limits

For Students 11th - Higher Ed
In this limit notation worksheet, students evaluate limits and simplify functions containing trigonometric ratios. This two-page worksheet contains four equations.
Lesson Plan
Curated OER

Modeling With Circular Functions

For Teachers 9th - 12th
Students explore circular functions. They identify the amplitude, period, phase shift and vertical shift of circular functions. Students analyze phenomena described by sine waves and they find mathematical models for transforming images...
Lesson Plan
Illustrative Mathematics

Two Wheels and a Belt

For Teachers 9th - 10th Standards
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Lesson Plan
Curated OER

Symmetric Secant

For Teachers 9th - 12th Standards
Mathematicians use a symmetric secant line to prove the derivative at a point. In this trigonometry instructional activity, students create secant lines on the navigator to analyze the derivative. They move the lines around and make...

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