Flipped Math
Unit 10 Review: Graphing Sine and Cosine
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...
Curated OER
Trigonometric Graphs
In this Trig worksheet, 12th graders identify and differentiate between trig graphs. They identify phase, translation and solve equations dealing with angles.
Curated OER
Graphs of the OTHER Trig Functions
Students graph trigonometric functions. In this precalculus lesson, students identify the properties of secant ,cosecant and cotangent. They use the unit circle as their formula to graph and analyze these functions.
Mathematics Vision Project
Module 7: Trigonometric Functions, Equations, and Identities
Show your class that trigonometric functions have characteristics of their own. A resource explores the features of trigonometric functions. Learners then connect those concepts to inverse trigonometric functions and trigonometric...
EngageNY
Properties of Trigonometric Functions
Given a value of one trigonometric function, it is easy to determine others. Learners use the periodicity of trigonometric functions to develop properties. After studying the graphs of sine, cosine, and tangent, the lesson connects them...
EngageNY
Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
EngageNY
Inverse Trigonometric Functions
Build on the understanding of finding angles using trigonometric ratios. Pupils develop the definitions of inverse trigonometric functions by restricting their domains in the 13th instructional activity of a 16-part series. They use...
Mathematics Assessment Project
Representing Trigonometric Functions
Discover the classic example of periodicity: Ferris wheels. Young mathematicians learn about trigonometric functions through Ferris wheels. They match functions to their graphs and relate the functions to the context.
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
Curated OER
Evaluating Trig equations and Solving Trig Identities
In this trigonometry worksheet, students match trig expressions to their exact value, evaluate trig equations, graph trig equations, and prove trig identities. There are 61 questions.
Schoolcraft College
Trigonometry
This trigonometry textbook takes the learner from a basic understanding of angles and triangles through the use of polar coordinates on the complex plane. Written by a mathematician-engineer, examples and problems here are used to...
HHS Math
Group Worksheet 1F - Graphing and Finding Zero
Graph quadratic functions and find the zero in this worksheet. Twelve problems range from those that could be quickly factored and graphed, to those that require use of the quadratic formula and their graphs approximated. Solutions...
CK-12 Foundation
Sine Graph and Cosine Graph: Changing Amplitude
Scholars manipulate the amplitude of the graphs of sine and cosine, notice how the change in amplitude is reflected in their graphs, and answer several questions about the concept they noticed.
Curated OER
Exercise Set 5.4: Inverse Trigonometric Functions
For this trigonometric functions worksheet, high schoolers solve 68 multi-part short answer and graphing questions. Students evaluate inverse trigonometric functions for a given value. High schoolers graph inverse trigonometric functions.
Illustrative Mathematics
Foxes and Rabbits 2
The fox population chases the rabbit population. Groups model the populations of foxes and rabbits with two trigonometric functions. Individuals graph both trigonometric models on the same graph, and then teams determine an explanation...
Illustrative Mathematics
Foxes and Rabbits 3
Model periodic populations. Here, in the context of foxes and rabbits, pupils look at graphs of the populations of these animals in a national park over a span of 24 months. Groups analyze the graphs and determine trigonometric functions...
101 Questions
Ferris Wheel
Around and around you'll go! Learners analyze the periodic nature of a Ferris wheel. Using a trigonometric function, they make predictions about the location of a specific car at the end of the ride and its total trips around the circle.
Shodor Education Foundation
Function Flyer
Fly through graphing functions with the Function Flyer. Young mathematicians use an interactive to graph different types of functions. A set of exploration questions has users investigate patterns in functions.
Curated OER
6.5 Skill Builder: Trigonometric Identities
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.
Curated OER
Graphing Trig Functions
In this trig worksheet, learners graph the six trig functions and identify the period of each function. There are 4 questions.
Curated OER
Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Curated OER
Solving Quadratic Trigonometric Equations
In this trigonometry learning exercise, students solve quadratic trigonometric equations. The seven page learning exercise contains explanation, examples, and sixteen multi-part questions. Answers are not included.
West Contra Costa Unified School District
Introduction to Trigonometric Functions
Scholars first learn the definitions of the sine ratio, the cosine ratio, and the tangent ratio. After mastering these definitions, they use the new information to solve triangles.
Curated OER
Trigonometric Graphing
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.