Curated OER
Twenty Multiple Choice and Free Response Derivative Problems
In this derivative worksheet, students solve ten multiple choice and ten free response problems. These problems include: derivatives of trig functions, tangent lines, parametric equations, and instantaneous rates of change.
Curated OER
Graph a csc Trigonometric Function
In this trigonometry function learning exercise, students graph one csc function with transformations. A grid for graphing is provided.
EngageNY
Secant and the Co-Functions
Turn your class upside down as they explore the reciprocal functions. Scholars use the unit circle to develop the definition of the secant and cosecant functions. They analyze the domain, range, and end behavior of each function.
EngageNY
From Circle-ometry to Trigonometry
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
EngageNY
Law of Sines
Prove the Law of Sines two ways. The ninth segment in a series of 16 introduces the Law of Sines to help the class find lengths of sides in oblique triangles. Pupils develop a proof of the Law of Sines by drawing an altitude and a second...
EngageNY
Tangent Lines and the Tangent Function
Construct tangent lines and make the connection to tangent functions. An informative lesson reviews the geometry origins of the tangent function. Pupils use that information to determine how to construct a tangent to a circle from a...
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts...
Curated OER
Range of Trigonometric Functions
In this trigonometry worksheet, students find the range of each trigonometric function using the derivative. There are 3 questions with an answer key.
Curated OER
Worksheet 18
In this math activity, students solve the problems using the rules of Calculus. They focus upon using trigonometric rules to investigate the functions.
Curated OER
Trigonometry
Students investigate angles converting them from radians to degrees. In this trigonometry lesson, students work with angles and the six different trig ratios. They graph the functions representing each trig functions and identify the...
Curated OER
Sodoku
In this calculus activity, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
Curated OER
Follow That Graph
Students investigate the graphs of six trigonometric functions. They discover how changes in the equation of the basic function affect the graph of the function.
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. In this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Curated OER
Integrals with Odd Powers of Secant and Tangent
Students discuss what integrals can be taken that involve secants and tangents. They use a list of ten samples, and discuss each of them. Students use trig substitution using trig identities (tan^2+1=sec^2x and tan^2x=sec^2x-1). They...
EngageNY
Between-Figure and Within-Figure Ratios
Tie the unit together and see concepts click in your young mathematicians' minds. Scholars apply the properties of similar triangles to find heights of objects. They concentrate on the proportions built with known measures and solve to...
CK-12 Foundation
Angles of Elevation and Depression: Fly-By Calibration
Determine the distance between two trees from afar. Pupils use an interactive resource to create two right triangles using trees and a plane. They determine the horizontal legs of each triangle to find the distance between the two trees.
CK-12 Foundation
Right Triangles, Bearings, and Other Applications: Sailing Race
Help your class get their bearings when it comes to right triangles. Pupils determine distances traveled or components given the bearing of a sailboat using an interactive. The scholars develop a sense of finding the bearings of a given...
Radford University
Georgia Peaches and California Dreamin’
Plant the fruits of trigonometry. Pairs work through the process of finding the best place to plant fruit trees on a piece of property. The scholars must take into consideration the location of the property and the solar zenith angle. To...
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...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
Radford University
REALLY Tall!
Conduct indirect measurements three ways. Working in groups, pupils come up with different ways to measure three tall objects indirectly. The teacher provides measurement information requested by the teams, and learners then calculate...
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.
Curated OER
Calculus Worksheet
In 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...
EngageNY
Applying the Laws of Sines and Cosines
Breaking the law in math doesn't get you jail time, but it does get you a wrong answer! After developing the Law of Sines and Cosines in lesson 33 of 36, the resource asks learners to apply the laws to different situations. Pupils must...