Lesson Plan
EngageNY

An Area Formula for Triangles

For Teachers 11th - 12th Standards
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....
Interactive
CK-12 Foundation

Alternate Formula for the Area of a Triangle: Alternate Area of a Triangle

For Students 10th - 12th
It's always nice to have a plan B. Pupils investigate an alternate formula for the area of a triangle that uses sine. A set of challenge questions shows how the new formula relates to the well-known formula of (1/2)bh.
Lesson Plan
Alabama Learning Exchange

Triangle Area: No Height? Use the Sine

For Students 9th - 12th Standards
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
Lesson Plan
EngageNY

Using Trigonometry to Find Side Lengths of an Acute Triangle

For Students 9th - 10th Standards
Not all triangles are right! Pupils learn to tackle non-right triangles using the Law of Sines and Law of Cosines. After using the two laws, they then apply them to word problems. 
Worksheet
Curated OER

Trigonometry: Labeling, Formulas, Solving

For Students 11th - 12th
In this math worksheet, students label sides of right triangles as opposite, hypotenuse, and adjacent to the labeled angle. On the second page of the worksheet, students label the part of the right triangle marked with a question mark...
Interactive
CK-12 Foundation

Determination of Unknown Triangle Measures Given Area: Jib Sheets

For Students 10th - 12th Standards
Solving triangles is a breeze. Young boat enthusiasts solve problems involving triangles in the context of sails on a boat. They must apply different strategies, including the Law of Cosines and area formulas.
Interactive
Curated OER

Trigonometry Formula Worksheet

For Students 10th - 12th
In this trigonometry worksheet, students solve right triangle problems.  They find the sine, cosine and tangent of given triangles.  This on-line, interactive worksheet contains 6 problems.  Answers are provided.
Assessment
Mathed Up!

Sine and Cosine Rules and Area of Triangles

For Students 9th - 12th
Learners discover how to find missing sides and angles using trigonometry. Scholars first watch a video covering the Law of Sines and Cosines, as well as the area formula for a triangle. To test their knowledge, they complete a activity...
Lesson Plan
Curated OER

Worksheet 12: Functions

For Teachers 11th - Higher Ed
In this math worksheet, learners are given 7 problems in which they differentiate, figure rate of change, determine value, and prove formulas.
Lesson Plan
EngageNY

Using Trigonometry to Determine Area

For Students 9th - 10th Standards
What do you do when you don't think you have enough information? You look for another way to do the problem! Pupils combine what they know about finding the area of a triangle and trigonometry to determine triangle area when they don't...
Lesson Plan
Willow Tree

The Pythagorean Theorem

For Students 8th - 11th Standards
There isn't a more popular geometry formula than the Pythagorean Theorem! Learners understand the special side relationships in a right triangle. They use the Pythagorean Theorem to find missing sides and to solve problems. They begin...
Lesson Plan
Curated OER

Law of Sines and Cosines

For Teachers 10th - 11th
Students solve problems using sine and cosine. In this precalculus lesson, students apply the properties of sine and cosine to solve non-right triangle problems. They use Heron's Law to find the area of a shape.
Lesson Plan
Curated OER

Law of Sine and Cosine

For Teachers 9th - 10th
Students solve problems using the law of sine and cosine. In this precaclulus lesson, students learn the law of DeMoivre's Theorem and Heron's theorem. They use both theorems to solve problems.
Lesson Plan
Curated OER

Sine and Cosine

For Teachers 11th - 12th
Students solve problems using sine and cosine. For this precalculus lesson, students solve word problems using sine and cosine. They identify where it is appropriate to laws of sine and cosine and where to use the Pythagorean Theorem.
Worksheet
Curated OER

Section 6.1-6.2 Precalculus: Trigonometry

For Students 9th - 12th
In this trigonometry activity, students solve 15 triangle problems.  Students use the law of sines and law of cosines to find the missing angles and side lengths of a triangles.
Worksheet
National Council of Teachers of Mathematics

Improving Archimedes' Method

For Students 9th - 12th
For this Archmides' method instructional activity, high schoolers determine the area of a regular n-gon inscribed in a circle.  They use sine and cosine functions to solve problems.  This three-page instructional activity...
Unit Plan
EngageNY

Complex Numbers and Transformations

For Teachers 11th - 12th Standards
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
Lesson Plan
Curated OER

The Law of Sines

For Teachers 11th - 12th
Students define the laws of sine as it relates to a right triangle. In this trigonometry lesson, students identify the properties of sine to help then find mixing sides of a right triangle. They also solve for the missing angles.
Lesson Plan
Curated OER

Exploring Centers of Triangles

For Teachers 7th - 10th
Students explore properties of triangles using angle bisectors, incenters, circles, midpoints, and altitudes. They use Geometer's Sketchpad in order to create triangles and their properties.
Lesson Plan
Illustrative Mathematics

Seven Circles III

For Teachers 9th - 11th Standards
A basic set-up leads to a surprisingly complex analysis in this variation on the question of surrounding a central circle with a ring of touching circles. Useful for putting trigonometric functions in a physical context, as well as...
Worksheet
Curated OER

Algebra and Trigonometry - Week 3: Story Problems

For Students 11th - Higher Ed
In this story problem activity, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page activity contains seven story...
Lesson Plan
Curated OER

Geometry Exploration Basic Trig Functions

For Teachers 10th
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...
Handout
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1
Curated OER

Math Handbook: Trigonometry

For Students 9th - 12th Standards
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...
Lesson Plan
Curated OER

The Delta Flier

For Teachers 7th - 9th
Students make calculations in order to construct a kite in the shape of an isosceles right triangle. In this kite lesson plan students calculate altitude of their flying kites using a formula.