Curated OER
Measuring the Earth
Students identify types of arcs and angles in a circle, find the measure of arcs and angles, and solve real world problems involving lengths of segments in circles, lengths, and areas.
Curated OER
Precalculus Test 3 (4.4-4.5)
In this precalculus test, students select the best answer from 8 multiple choice problems. They solve 4 short answer problems and graph one cycle of each of four equations.
Curated OER
Geometry Worksheet: Area (6)
In this geometry worksheet, 10th graders express the area of the ring between two concentric circles in terms of the length of a segment tangent to the smaller circle. The one page worksheet contains a drawing of and an explanation...
Curated OER
Trigonometry Worksheet: Double Angle Formula (1)
Students use the double angle formula to solve one problem. They are given the problem: if sin(a)=3/5, and a is an acute angle, use the double angle formula to find exact values of given sin, cosign, and tangent within the quadrant of...
Curated OER
Circle Proofs
In this circle proofs worksheet, 10th graders complete 4 different problems that include circle proofs. They respond to each of the questions that deal with circle proofs. Then, students read the given information and use the circle...
Curated OER
Integrals with Odd Powers of Secant and Tangent
Pupils 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 work...
Curated OER
Integrals with Even Powers of Secant and Tangent
Students integrate integrals that involve even powers of tangents and secants. They work several problems that require the use of integration, and the identity tan^2x+1=sec^2x. Students use integration by parts for the first integral....
Curated OER
Rates Of Change
Students investigate the rate of change and how it effects a function over a given interval. They examine the slope of a line that is seccant and how it is compared to a tangent line and then determine the changes of a function at any...
Curated OER
Math- A Level Differentiated Lesson
Students investigate the gradient function of a polynomial and they conduct a class discussion about its meaning. Then students use graphing software in order to examine tangents that can be seen visually to aid those who need visual...
Curated OER
Investigating the properties of a circle
Students use wax paper to look at different properties of circles such as chords, tangent lines, inscribed angles, and inscribed angles in a semi-circle, as well as finding the center of the circle, and use GSP to investigate cyclic...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Trig Ratios
Investigate the cosine, sine, and tangent ratios of trigonometry using this interactive Learn Alberta math resource. Students will use these ratios to determine a right triangle's unknown side or angle. Be sure to follow the link to the...
Government of Alberta
Learn Alberta: Math Interactives: Exploring Trigonometry (Video Interactive)
This multimedia Learn Alberta math resource looks at how trigonometry is used in making sure that airplanes land safely at airports. The accompanying interactive component gives students practice in using trigonometric ratios, namely...
Mathematics Archives
Math Archives: Visual Calculus: Tangent Lines
This is a detailed site concerning tangent lines to curves. The site gives the limiting definition of the slope of the tangent. This site has a link to a discussion and animation of the approaching secant line, a java applet for the...
University of Vienna (Austria)
Univ of Vienna: Trigonometric Functions
An interactive tool to discover how the trig functions came to be. Applets are used in this interactive learning tool. Examples exercises are also given.
University of Vienna (Austria)
Maths Online: Recognize Functions 3
An excellent place to test your ability to recognize the graphs of sine and cosine and their various associated forms. A Java applet is also included to plot your own function.
University of Vienna (Austria)
The Graphs of Sin, Cos, and Tan Maths Online
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Tangent Lines and the Derivative
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Trig Tour
Take a tour of trigonometry using degrees or radians! Look for patterns in the values and on the graph when you change the value of theta. Compare the graphs of sine, cosine, and tangent.
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Functions
This site examines the six trigonometric functions from a right triangle point of view. Provides information, examples, and lots of exercises for understanding.
Maths Challenge
Maths challenge.net: Three Circles
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles.
Windstream
Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent
This tutorial introduces the sum and differnce formulas for tangent, and gives several examples of problems to be solved as well as proving other identities. Assumes knowledge of the sum and difference formulas for sine and cosine.
University of Saskatchewan (Canada)
University of Saskatchewan: Trigonometric Identities
The University of Saskatchewan provides an explanation of trigonometric identities, including the reciprocal identities, the addition and subtraction formulas with sine and cosine, and the double angle formulas. There are links to...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Derivatives
Hotmath provides 26 practice problems dealing with derivatives and their graphs. Each of the practice problems include a step-by-step guide for solving their derivative.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Trigonometric Functions
Hotmath provides 24 practice problems relating to trigonometric functions. Each of the practice problems include a step-by-step guide for solving their function.