Center for Innovation in Mathematics Teaching
Trigonometry
This unit covers the basic trigonometry including understanding radians, how to convert between radians and degrees, the area of a circle subtended by an angle, basic properties and graphs of sine, cosine, tangent, and solving...
Curated OER
Trigonometric Functions
For 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
Calculus Worksheet
For this calculus worksheet, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students...
Curated OER
Creating a Mathematical Model Using Weather Data
Students explore the concept of mathematical models. In this mathematical model lesson, students create a mathematical model from data from 4 cities over 15 months. Students are told they are working for a weather station. Students...
Curated OER
PreCalculus: Final Examination
In this final examination worksheet, students find the tangent function and sine function. They graph problems on a polar coordinate. Students describe trigonometric properties. This twelve-page worksheet contains 80...
Curated OER
MT-A141 PreCalculus: Worksheet 6.5/6.6
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...
Curated OER
Defining the Circular Functions
In this calculus worksheet, students solve values involving trigs and the unit circle. They identify graphs of sine, cosine and tangents. They solve for angles using the unit circle and the calculator.
EngageNY
Why Call It Tangent?
Discover the relationship between tangent lines and the tangent function. Class members develop the idea of the tangent function using the unit circle. They create tables of values and explore the domain, range, and end behavior of...
Curated OER
Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
EngageNY
Ferris Wheels—Tracking the Height of a Passenger Car
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.
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
Worksheet Six: System of Equations
In this system of equations worksheet, students solve systems of equations. They plot functions and evaluate solutions as floating point numbers. This two-page worksheet contains 8 multi-step problems.
Curated OER
The Unit Circle
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
Curated OER
Math Handbook: Trigonometry
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...
Curated OER
Foxes and Rabbits 3
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...
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.
Curated OER
MT-141 Precalculus - Worksheet 6.4(b)
In this precalculus worksheet, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the cosine of curves. ...
Curated OER
MT-A141 PreCalculus: Worksheet 6.2/6.3
In this precalculus worksheet, learners use their graphing calculator to determine the coordinates for given functions. They determine the values for cosine, sign, tangent, and secant of given equations. Given an angle of elevation,...
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 lesson of a 16-part series. They use inverse functional...
Curated OER
Worksheet 11 - Points of Discontinuity
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.
Curated OER
Modelling Periodic Phenomena
In this Pre-calculus/Trigonometry worksheet, students determine the trigonometric function that best models the given data. The eight page worksheet contains explanation, examples, and twenty-one problems. Answers are not included.
Curated OER
Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry instructional activity, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and...
Curated OER
Trigonometry Ratios
High schoolers identify the different angles and sides of a triangle. In this geometry lesson, students identify the six trigonometric ratios. They graph the graph of each trig function and analyze it.
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...