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Worksheet
Curated OER

Graphing

For Students 11th - 12th
In this graphing learning exercise, 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...
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Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.5/6.6

For Students 10th - 11th
For this precalculus worksheet, students investigate functions and determine which functions are sinusoids. They estimate the amplitude, phase shift, and period of each function. Students explore the sums of sine and cosine functions....
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Assessment
Concord Consortium

Sine Solution

For Students 11th - 12th Standards
How many times can eager mathematicians catch the waves? Pupils find the solutions of three different trigonometric equations. They then determine the effect of the slope of a line that intersects a trigonometric function and the number...
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Lesson Plan
Curated OER

Getting Triggy With It

For Teachers 9th - 12th Standards
The concept of sine and cosine is explored in this lesson where students graph sine and cosine graphs using a transformation application on the graphing calculator.  Students change the coefficients for the amplitude, period, frequency,...
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Lesson Plan
Curated OER

Model Air Plane Acrobatics

For Teachers 9th - 12th Standards
Your young airplane enthusiasts will enjoy this collaborative task of graphing an airplane's distance from the ground as it flies in a perfect circle. They will discover that they have graphed a sinusoidal function that comes from the...
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Lesson Plan
Curated OER

Adding Trigonometric Functions

For Teachers 9th - 11th
Students identify trigonometric functions. In this trigonometry lesson, students add and subtract trigonometric functions. They add sine and cosine waves and relate it to the real world.
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Worksheet
Curated OER

Sine Cosine Game

For Students 11th - 12th
In this algebra activity, students are given a word problem they must solve by rewriting the words in to algebraic symbols. They investigate Sine and Cosine using word problems. There are 18 questions with an answer key.
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Worksheet
Curated OER

Worksheet 4 - Math 126: Sketching Polar Equations

For Students 9th - 12th
In this sketching polar equations worksheet, high schoolers solve 5 short answer and graphing problems. Students describe a curve given the equation of the curve in polar form. High schoolers sketch a graph of the equation.
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Worksheet
Curated OER

Worksheet Six: System of Equations

For Students Higher Ed
For this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
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Worksheet
Yummy Math

Parametric Equations and a Heart

For Students 8th - 12th Standards
Trigonometry, art, and Valentine's Day come together in a creative activity about parametric equations. Learners calculate several equations before graphing them either by hand, on a graphic calculator, or Excel spreadsheet to curve...
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Worksheet
Curated OER

Defining the Circular Functions

For Students 10th - 12th
In this calculus activity, 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.
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Worksheet
Curated OER

MT-141 Precalculus - Worksheet 6.4(b)

For Students 10th - 11th
In this precalculus worksheet, learners complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
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Interactive
PHET

Trig Tour

For Students 9th - 12th Standards
Unit circles and trigonometric graphs go hand in hand. Pupils see how traversing the unit circle allows for the creation of graphs for trigonometric functions. They also see trigonometric ratios in terms of the ordered pairs of points on...
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Lesson Plan
Curated OER

Creating a Mathematical Model Using Weather Data

For Teachers 8th - 11th
Students explore the concept of mathematical models. In this mathematical model lesson plan, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. ...
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Activity
Curated OER

Sunrise, Sunset

For Teachers 10th - 12th Standards
What locations on Earth get the longest number of hours of daylight in the summer? Hint: It's not the equator! Use real-world sunrise and sunset data to develop trigonometric models that can be used to estimate the number of hours of...
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Worksheet
Curated OER

PreCalculus: Final Examination

For Students 10th - 12th
For this final examination worksheet, students find the tangent function and sine function.  They graph problems on a polar coordinate.  Students describe trigonometric properties.  This twelve-page worksheet contains 80 problems.
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Worksheet
Curated OER

Mathematics B: High School Exam

For Students 11th - 12th
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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Worksheet
Curated OER

Worksheet 35

For Students 11th - Higher Ed
For this math worksheet, students write a problem having solution u(x, t) for each function u given. They include the lengths, physical constants, and initial conditions.
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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...
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Worksheet
Curated OER

Inverse Trigonometry

For Students 11th - Higher Ed
In this math worksheet, students graph each function while focusing upon finding the domain and range of each one. They also find the exact values using sine, cosine, and tangent.
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Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. For this sine lesson, students create a sine graph from tooth picks. Students create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle and put them...
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Lesson Plan
Curated OER

Proof of Identity

For Teachers 9th - 12th Standards
Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...
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Lesson Plan
EngageNY

Ferris Wheels—Tracking the Height of a Passenger Car

For Students 10th - 12th Standards
Watch your pupils go round and round as they explore periodic behavior. Learners graph the height of a Ferris wheel over time. They repeat the process with Ferris wheels of different diameters.
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Worksheet
Curated OER

6.5 Skill Builder: Trigonometric Identities

For Students 9th - 12th
In this trigonometric identities worksheet, students solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Students factor trigonometric expressions.