University of Adeaide
Basic Trigonometry and Radians
A fabulous set of examples and problems that introduce basic trigonometry concepts, this packet is set apart by the care it takes to integrate both radians and degrees into the material. After defining radians, the author demonstrates...
CK-12 Foundation
Pythagorean Theorem for Solving Right Triangles: Solving the Triangle
Observe the change in the trigonometric ratios as angles vary. An interactive provides the values of trigonometric ratios for both acute angles in a right triangle. Pupils create a right triangle to match given criteria and find the...
Curated OER
Geometry Involving Figures - Week 12 (Ratio and Surface Area)
In this ratio and surface area instructional activity, students find the ratio of surface area of one figure to another. They determine the length of sides and angles through similar figures. Students use trigonometric ratios to find the...
Curated OER
Geometry Exploration Basic Trig Functions
Tenth graders solve for missing sides on a triangle using the Pythagorean Theorem. In this geometry lesson, 10th graders are introduced to basic trigonometry functions as they solve problems of right triangles. They discuss the formulas...
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...
Curated OER
Solve Right Triangle
For this trigonometric applications worksheet, students solve for the missing side of a right triangle using a trigonometric ratio. There are 46 questions, 10 of which are word problems.
Curated OER
Trigonometry and the Calculator
In this geometry activity, 10th graders use a graphing calculator to evaluate trigonometric functions and their inverses. The four page activity contains explanation, examples, and twenty questions. Answers are not included.
Curated OER
Trigonometry Puzzle
In this trigonometry worksheet, students solve for the degree or the ratio in 48 questions using the 6 basic trigonometric functions.
Curated OER
Exploring Trigonometric Ratios
Students calculate the different ratios using a right triangle. In this trigonometry lesson, students identify the sine, cosine and tangent of each side. They find the missing angles using the different ratios.
Curated OER
Investigating Trigonometric Ratios Through Similar Right Triangles
Students identify similar and congruent right triangles. In this geometry lesson, students use trigonometric ratios to identify missing sides and angles of a triangle. They differentiate similar and congruent triangles.
Curated OER
Law of Sines
For this Law of Sines worksheet, students use trigonometric ratios to determine angle measurement and/or the length of the side of a triangle. This one-page worksheet contains ten trigonometric ratio problems.
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
Amazing Consistent Ratios
Students derive the six trigonometric identities. In this trigonometry lesson, students find the ratios of sine, cosine and tangent using the right triangle. They use properties of the Pythagorean Theorem to find the trig identities.
Curated OER
Exploring Trigonometric Ratios
Students identify the ratios of trig functions. In this trigonometry lesson, students construct triangles and use it to derive the values of sine, cosine and tangent. They use Cabri software to create the visual of the identities.
Curated OER
Missing Angles
In this missing angle worksheet, students use trigonometry ratios to determine the measurement of a missing angle. Students identify sine, cosine and tangent ratios. This one-page worksheet contains ten problems.
Curated OER
Right Triangle Stuff
In this right triangle worksheet, students use trigonometric ratios to find the hypotenuse, right angle, opposite leg and angles. This one-page worksheet contains eight problems. Answers are provided at the bottom of the page.
Curated OER
Number of Solutions for a Triangle
In this solutions for a triangle worksheet, students use trigonometric ratios to determine the number of triangles that can be constructed with the given sides and angles. This one-page worksheet contains 22 problems.
Curated OER
Hunter Fred's Quest for Dinner
Learners solve problems using trigonometric functions, specifically a problem about a tree stand. Pupils try to maximize the distance of hunting sight given certain restrictions. They use the Pythagorean Theorem, sine, cosine, and...
Curated OER
The Sine and Cosine Ratios
For this geometry worksheet, 10th graders write the ratio that represents the sine and cosine of the indicated angle. The one page worksheet contains two multiple choice questions. Answers are included.
CK-12 Foundation
Secant, Cosecant, and Cotangent Functions: Hold the Ladder!
Determine the length of a falling ladder. Pupils use an interactive to find the angle a ladder makes with the floor after it falls to answer questions. The scholars use the triangle formed in the interactive to determine values of...
EngageNY
An Area Formula for Triangles
Use a triangle area formula that works when the height is unknown. The eighth installment in a 16-part series on trigonometry revisits the trigonometric triangle area formula that previously was shown to work with the acute triangles....
Curated OER
Trigometric Ratios
This instructional activity requires a worksheet that is not connected. It is integral to the instructional activity.
Curated OER
Similar Right Triangles-Introductions to Trigonometry
In this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The...
Curated OER
Introducing Trigonometry
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...