Curated OER
Calculus Worksheet: Graphs of Functions (2)
Students are given a trigonometric function. They find the period of f, the maximum and ninimum values of f(x). Students compute the smallest positive value of x and the smallest positive value of x. They sketch the graph of the function.
Curated OER
Trigonometry Review
In this trigonometry worksheet, students solve trigonometric equations, prove trigonometric identities, and graph trigonometric functions. The four page worksheet contains sixteen questions. Answers are not included.
Curated OER
Integrated Algebra: State Exam
In this integrated algebra worksheet, students solve problems related to topics covered in algebra for the entire year. Topics include, but are not limited to, inequalities, probability, functions, interval notation, exploring graphs,...
Rice University
Algebra and Trigonometry
Move on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...
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...
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...
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...
Concord Consortium
Sine Solution
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...
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
Trigonometric Functions
In this trigonometric functions worksheet, students examine trigonometric functions and graph them. This one-page worksheet contains 1 multi-step problem and a graph.
Curated OER
Curved Lines
In this curved lines worksheet, students examine equations that, when graphed, present a curved line. They explore specified points on the graphed line and write an equation for the tangent line at given points. This two-page worksheet...
Curated OER
Graphing
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...
Curated OER
Solving Trigonometric Equations
Pupils will investigate trigonometric equations. In this trigonometry lesson plan, 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...
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
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
Equations of Graphs
In this equations of graphs worksheet, 9th graders solve and graph 10 different problems that include various types of graphs. First, they determine the equation for each graph shown at the top of the sheet. Then, students determine on...
Curated OER
Graphs
In this graphs worksheet, 10th graders identify and solve 10 different problems that include reading various graphs of lines. They determine the equation for each graph whether it is dealing with tangent, cotangent, secant or cosecant.
CK-12 Foundation
Horizontal Translations or Phase Shifts: Sine
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...
EngageNY
Solving Problems Using Sine and Cosine
Concepts are only valuable if they are applicable. An informative resource uses concepts developed in lessons 26 and 27 in a 36-part series. Scholars write equations and solve for missing side lengths for given right triangles. When...
Illustrative Mathematics
Hours of Daylight 1
The midline of the mathematical model of the number of hours of sunlight is not 12 hours. Pupils use the modeling cycle to determine a function that will model the number of hours of sunlight at a location of their choosing. Using...
Curated OER
Inverse Trigonometric Functions (Review)
Students discuss the importance of inverse functions and derivatives. In this calculus lesson, students analyze inverse trig functions by solving for missing angles. They graph the functions and discuss integration by parts.
Rice University
Precalculus
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...
Curated OER
Worksheet 10 - Limits
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.