EngageNY
Algebra II Module 2: End-of-Module Assessment
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
Illustrative Mathematics
Exploring Sinusoidal Functions
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...
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
NASA
Simulating Weightlessness
Floating across the top. Class groups examine the parabolas, written as parametric equations, that model the flight path of NASA's C-9 as it simulates weightlessness. They continue their exploration by changing the parameters to...
Curated OER
Trigonometric Functions
In this trigonometric functions worksheet, students solve and complete 4 different types of problems. First, they decide whether the given equation defines y to be a function of x and find the domain. Then, students graph each function...
Curated OER
Graphing Trig Functions
In this graphing trigonometric functions worksheet, 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, they find...
Curated OER
Inverse Trig
In this inverse trig worksheet, students solve and complete 24 various types of problems. First, they evaluate each of the trigonometric inverses shown. Then, students find x and y in each trigonometric derivative. They also find the...
Curated OER
Understanding Fundamental Trigonometric Identities
Young scholars are introduced to the basic trigonometric identities. Using a diagram, they discover why the parts of the unit circle as named as they are and use equations to finalize the Pythagorean trigonometric identities. They also...
Curated OER
Equations, Formulas and Identities
Students rewrite word problems using the correct symbols. In this algebra lesson, students find the trigonometric identities and use them to solve problems. They write equations for the trigonometric ratios.
EngageNY
What Is a Trigonometric Identity?
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
CK-12 Foundation
Changes in Period and Amplitude of the Sine Function
How does a change in amplitude or period affect the equation of a sine function? Scholars move sliders to change the frequency and period of the sine function. The interactive displays the resulting equation, and pupils determine the...
GeoGebra
Getting on the Right Wavelength
Predict an equation that waves up and down. Pupils set the height, radius, and period of a Ferris wheel. The learners write a sine equation to match the graph of the height of a point on the wheel as a function of time. Running the...
CK-12 Foundation
Horizontal Translations or Phase Shifts: Tangent
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...
Flipped Math
Parallelograms and Triangles
Expand area problems to incorporate prior knowledge. Pupils begin by reviewing the formulas for finding the area of parallelograms and triangles. The scholars apply previous learning of trigonometric ratios and the Pythagorean Theorem to...
CK-12 Foundation
Vertical Translations: Vertical Shift of Sinusoidal Functions
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...
Curated OER
Graph Trigonometric Functions
In this graphing trigonometric functions learning exercise, students graph 1 sine equation. Students plot the graph of the function y=-0.5sin(-3x).
Curated OER
Worksheet 17: Writing Equations
In this equations worksheet, students graph the curve represented by pairs of parametric equations. They determine the slope of the line tangent to a given graph. Students find the area region lying under the curve. This two-page...
NASA
Earth, Can You Hear Me Now?
How long did you say? Class groups plot the distances between Earth and Mars and determine the trigonometric function that models the data. Using a calculator, they graph the function to determine when the distance and communication...
Curated OER
Trigonometric Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
Curated OER
Interpolating Function
In this interpolating function activity, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
Curated OER
End of Trig
In this end of trig learning exercise, students solve and complete 18 different problems. First, they solve each equation by comparing each set of terms. Then, students determine the sine, cosine and tangent for each problem shown.
Curated OER
Inverse Trig Functions: Domain and Range
In this trigonometric functions worksheet, students calculate the domain and range of the three basic trig functions. There are 6 equations.
Curated OER
Sketch, Solve, and Find Values of Circular Trigonometric Functions
In this trigonometric functions learning exercise, students sketch trigonometric functions, solve equations, and find values within given intervals.
Concord Consortium
Betweenness V
Take a unique approach to study the graphing of trigonometric functions. Young scholars consider two sine functions and write three functions that will lie between the two given. They use a graphing utility to assist in their explorations.