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...
Assessment
1
1
Mathematics Assessment Project

College and Career Readiness Mathematics Test C1

For Students 9th - 12th
Challenge high schoolers with a thorough math resource. The 20-page test incorporates questions from upper-level high school math in applied and higher order questions.
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 high schoolers graph sine and cosine graphs using a transformation application on the graphing calculator.  Students change the coefficients for the amplitude, period,...
Lesson Plan
EngageNY

Awkward! Who Chose the Number 360, Anyway?

For Students 10th - 12th Standards
Don't give your classes the third degree. Use radians instead! While working with degrees, learners find that they are not efficient and explore radians as an alternative. They convert between the two measures and use radians with the...
Unit Plan
Mathematics Vision Project

Module 6: Modeling Periodic Behavior

For Students 10th - 12th Standards
Around and around we go ... again, and again, and again, and again! That's the nature of a periodic function. Young scholars learn how to model a periodic pattern with trigonometric functions. The nine-lesson unit explores the connection...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Curated OER

Worksheet 11 - Points of Discontinuity

For Teachers Higher Ed
In this points of discontinuity worksheet, students observe graphs and label them as points of discontinuity and non-differentiability. They identify the derivatives of functions. This one-page worksheet contains five multi-step problems.
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Interactive
Shodor Education Foundation

Polar Coordinates

For Students 11th - Higher Ed Standards
Polar opposites might not work together—but polar coordinates do! The interactive provides learners the opportunity to graph trigonometric and algebraic functions using polar coordinates. The program takes either individual data points...
Assessment
Illustrative Mathematics

Exploring Sinusoidal Functions

For Students 9th - 12th Standards
What effect does changing a parameter have on the graph of a trigonometric function? Pupils use a Desmos applet to explore the general sine graph. They experiment changing different parameters and record the resulting change of the...
Lesson Plan
EngageNY

Exploiting the Connection to Trigonometry 1

For Teachers 11th - 12th Standards
Class members use the powers of multiplication in the 19th installment of the 32-part unit has individuals to utilize what they know about the multiplication of complex numbers to calculate the integral powers of a complex...
Interactive
CK-12 Foundation

Horizontal Translations or Phase Shifts: Sine

For Students 10th - 12th Standards
Shift a trigonometric function and find its new equation. Pupils translate a sine function on a graph. The scholars determine the equation of the function that represents the translated graph and observe the connection between a...
eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Lesson Plan
Curated OER

Woody Sine

For Teachers 9th - 12th
Students explore the concept of sine. In 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...
Activity
1
1
Curated OER

Foxes and Rabbits 3

For Teachers 10th - 12th Standards
Use realistic data to find trigonometric models that best fit the populations of foxes and rabbits in a national park. Included are detailed explanations of the answers and process. This is a follow-up exercise to the lesson listed in...
Worksheet
Curated OER

Sine Cosine Game

For Students 11th - 12th
In this algebra worksheet, 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.
Worksheet
Curated OER

MT-A141 PreCalculus: Worksheet 6.5/6.6

For Students 10th - 11th
In this precalculus instructional activity, learners 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...
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.
Assessment
Concord Consortium

Broken Spreadsheet II

For Students 11th - 12th Standards
Work in reverse with the product becoming the given. Using a spreadsheet image of the graph of a trigonometric function, young scholars investigate methods of creating spreadsheet data that results in the given graph. The catch? The data...
Handout
1
1
Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and...
Lesson Plan
Curated OER

Exploring Trigonometric Functions

For Teachers 9th - 12th
Students are introduced to the characteristics of trigonometric functions. In groups, they analyze graphs of sine and cosine to determine the lengths of a triangle. They compare and contrast the graphical and numerical characteristics...
Assessment
Concord Consortium

Here Comes the Sun

For Students 11th - 12th Standards
Many phenomena in life are periodic in nature. A task-based lesson asks scholars to explore one of these phenomena. They collect data showing the sunrise time of a specific location over the period of a year. Using the data, they create...
Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Lesson Plan
Curated OER

Trigonometric Graphing

For Teachers 9th - 12th
Students analyze graphs. In this trigonometric lesson, students identify the different graphs of sine, cosine and tangent. They graph the inverse of those trig values and identify their properties such as phase shift and period.