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Interactive
CK-12 Foundation

Secant, Cosecant, and Cotangent Functions: Hold the Ladder!

For Students 9th - 12th Standards
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
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Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Tangent

For Students 10th - 12th Standards
Patterns can be shifty! Find the pattern when shifting the graph of tangent. Pupils move the graph of tangent to different locations on the coordinate plane. They observe what happens to the function and its vertical asymptotes before...
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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.
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Interactive
CK-12 Foundation

Vertical Translations: Vertical Shift of Sinusoidal Functions

For Students 10th - 12th Standards
Create a shift in TV viewing habits. The interactive presents a cosine model of an individual's TV viewing habits during a year. Class members move the model to reflect given conditions. Finally, they determine key features from the...
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Worksheet
Curated OER

Trig Identities and Antiderivatives

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems that are related to the concepts of identities and antiderivatives.
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Worksheet
Curated OER

Trigonometric Functions

For Students 12th - Higher Ed
In this Calculus learning exercise, students solve multiple detailed problems for four different Math concepts. They apply the concepts of Trigonometric ratios.
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Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
High schoolers explore the concept of sine. In this sine lesson, students create a sine graph from tooth picks. High schoolers create a unit circle with tooth pick length radius. Students then take the tooth picks from the unit circle...
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Worksheet
2
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Flipped Math

Unit 10 Review: Graphing Sine and Cosine

For Students 9th - 12th Standards
Go up and down with a review. Learners review finding the amplitude, midline, period, and frequency of sinusoidal functions and use that information to draw graphs. Pupils arrive at equations for function from graphs. They finish up the...
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Interactive
Desmos

Desmos Graphing Calculator

For Students 9th - Higher Ed Standards
They say a graph is worth a thousand points. The interactive allows users to graph a wide variety of functions and equations. Using the included keyboard or typing directly into the list, learners determine the graph of a function....
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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
Teach Engineering

Designing a Spectroscopy Mission

For Teachers 9th - 12th Standards
In this mind-bending activity, young engineers explore this question of whether or not light actually bends. Using holographic diffraction gratings, groups design and build a spectrograph. The groups then move on research a problem...
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Lesson Plan
EngageNY

Wishful Thinking—Does Linearity Hold? (Part 1)

For Teachers 11th - 12th Standards
Not all linear functions are linear transformations — show your class the difference. The first activity in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and...
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Interactive
CK-12 Foundation

Law of Cosines: Angles in the Outfield

For Students 10th - 12th
Take me out to the trig class. Individuals use an interactive to see how angles on a baseball field change as the position of two runners change. A set of challenge questions has them apply the Law of Cosines to solve problems.
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Unit Plan
Mathematics Vision Project

Module 8: Modeling With Functions

For Students 10th - 12th Standards
Sometimes there just isn't a parent function that fits the situation. Help scholars learn to combine function types through operations and compositions. Learners first explore a new concept with an introductory activity and then follow...
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eBook
Rice University

Calculus Volume 1

For Students 11th - Higher Ed
Differentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...
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Lesson Plan
Curated OER

Amazing Consistent Ratios

For Teachers 7th - 9th
Young scholars derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
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Lesson Plan
Curated OER

Trigonometric Ratios

For Teachers 9th - 12th Standards
Learners investigate properties of the unit circle using sine, cosine and tangent. They analyze the answers to questions about the unit circle based on a right triangle.
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Lesson Plan
Curated OER

Concepts in Precalculus 1: Trigonometry

For Teachers 11th - 12th
Students investigate trigonometry.  In this Algebra II/Pre-calculus/Trigonometry activity, students explore Islamic achievements in mathematics as they calculate angles and distances using the Law of Sines and the Law of Cosines. ...
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Lesson Plan
Curated OER

Investigating Trigonometric Ratios Through Similar Right Triangles.

For Teachers 8th - 10th
49Learners investigate the properties of right triangles. In this geometry lesson, students differentiate between similar and congruent triangles. They use the Pythagorean Theorem to find the missing angles and sides.
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AP Test Prep16:14
1
1
Flipped Math

Calculus AB/BC - Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation

For Students 10th - 12th
Calculus classes definitely need to learn about indefinite integrals. Individuals watch an informative video to learn the antiderivative rules for exponential, logarithmic, trigonometric, and inverse trigonometric functions. To solidify...
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Worksheet
Lane Community College

Review Sheets: Trigonometry

For Students 9th - 12th Standards
Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections. 
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Lesson Plan
Curated OER

Linear Piecewise Functions

For Teachers 10th - 12th
Students explore the concept of piecewise functions. For this piecewise functions lesson, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students write...
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Lesson Plan
Curated OER

Creating a Mathematical Model Using Weather Data

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

Introduction to Trigonometry

For Teachers 10th - 12th
Students identify the six trigonometric ratios and properties. In this trig lesson, students define basic trig functions as it relates to solving right triangles. They identify the equation for sine as o/h and cosine as a/h and tangent...