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101 Questions
Marine Ramp
Boat ramps move with waves and changes in water level. Scholars decide on the proper length for a ramp so the angle connecting both sides is appropriate. They visualize the situation and use a simulation to view the results with their...
101 Questions
Lost in the City with a Clinometer
Come look at trigonometry from a different angle. To begin a simple activity, scholars view a video of someone using a clinometer to find the angle of elevation to the top of a building. They then use a diagram that shows the building's...
Illustrative Mathematics
Two Wheels and a Belt
Geometry gets an engineering treatment in an exercise involving a belt wrapped around two wheels of different dimensions. Along with the wheels, this belt problem connects concepts of right triangles, tangent lines, arc length, and...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
Illustrative Mathematics
Satellite
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Curated OER
Finding the Area of an Equilateral Triangle
The problem seems simple: find the area of the equilateral triangle whose sides are each length 1. In fact, this same problem is solved in 8th grade, addressing a different Common Core standard, using the formula for area of a triangle...
101 Questions
Lucky Cow
Cutting the cheese isn't a joke. Scholars observe a wedge of cheese and must determine how to cut it in half horizontally. They apply their knowledge of sectors to determine the most accurate way to slice the cheese.
Illustrative Mathematics
Converse of the Pythagorean Theorem
Use the given tasks and detailed teacher's commentary to introduce your 8th graders to the Pythagorean theorem and its converse. Embedded links to information about Egyptian geometry make your presentation interesting. Consider...
Teach Engineering
Stay in Shape
Using their knowledge of right triangles, pupils find out how far a ship is from a light house. Class members determine how far around the world a ship would be sailing at a constant speed.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Right Angle Trigonometry
Fourteen problems present practice working with right angle trigonometry. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check...
Curated OER
Trigonometry Realms
Excellent site reviewing the realms of Trigonometry. Topics Include the trig functions, graphs, right triangles and much more.
Interactive Mathematics
Interactive Mathematics: Angles Degrees and Radians
Angles are key to Trigonometry. Learn definitions of the parts of an angle, degrees, and radians, identify the standard position of an angle, convert between radians and degrees, and more.
Texas Instruments
Texas Instruments: Solving Problems Using Trigonometry
Solving real life problem using trig ratios. Example: Finding the angle of elevation or the angle of depression. Finding the angle between two lines. Finding equation of a line that passes through two points.
Other
Advogato: Trigonometry by Geometric Construction
This site from Advogato is all about angles. It contains information starting with what an angle is and what it looks like, all the way up to bisecting angles and theorems about angles. This is very good information for students just...
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Trigonometry Review
The Northeast Parallel Architectures Center, Syracuse University, provides a review and tutorial site on trigonometry. The information is in-depth and can be accessed by clicking on the various links in the outline.
TeachEngineering
Teach Engineering: Trigonometry via Mobile Device
Students investigate the relationships between angles and side lengths in right triangles with the help of materials found in the classroom and a mobile device.
Math Medics
S.o.s. Math: Measure of an Angle
This lesson gives a tutorial on the measure of an angle. Includes sample problems and solutions.
Lawrence Hall of Science
The Math Page: Trigonometry: Measurement of Angles
Here is a site that clearly and thoroughly explains many topics regarding measurement of angles, including standard position, degree measure, and coterminal angles. There are example problems solved, problems for the student to attempt,...
Lawrence Hall of Science
The Math Page: Trigonometry: Trigonometric Functions of Any Angle
Here is a site that clearly and thoroughly explains the trigonometric functions of any angle and the polar coordinate system. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Lawrence Hall of Science
The Math Page: Trigonometry: Trignometry of Right Triangles
Here is a site that clearly and thoroughly explains the trigonometry of a right triangle, including finding the values of all six trig functions given a single value. There are example problems solved, problems for the student to...
Interactive Mathematics
Interactive Mathematics: Trigonometric Functions of Any Angle
Given a reference angle, you can find the trigonometric functions of any angle. The process is demonstrated in this lesson and examples are provided for practicing the concept.
Wolfram Research
Wolfram Math World: Half Angle Formulas
This page, from Eric Weisstein's comprehensive Math World site, offers information on half-angle formulas. The site includes traditional trigonometric fuctions half-angle formulas as well as hyperbolic half-angle formulas. Includes links...
Lawrence Hall of Science
The Math Page: Trigonometry: Trig Functions of an Acute Angle
Here is a site that clearly and thoroughly explains the trigonometric functions of acute angles within a right triangle. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Wolfram Research
Wolfram Math World: Double Angle Formulas
Part of Eric Weisstein's comprehensive math site, this page deals with double-angle formulas. This site includes traditional trigonomic double-angle functions as well as hyperbolic trigonometric function. Includes links to related terms...