Lesson Plan
EngageNY

#### What Is a Trigonometric Identity?

For Students 10th - 12th Standards
Protect yourself from identity theft! Establishing a strong understanding of the Pythagorean identity allows learners to prove that sine^2x + cos^2x = 1. They then use the identity to find sine or cosine ratios given the other.
Lesson Plan
EngageNY

#### Trigonometry and the Pythagorean Theorem

For Students 9th - 11th Standards
Ancient Egyptians sure knew their trigonometry! Pupils learn how the pyramid architects applied right triangle trigonometry. When comparing the Pythagorean theorem to the trigonometric ratios, they learn an important connection that...
Assessment
Illustrative Mathematics

#### Trigonometric Ratios and the Pythagorean Theorem

For Students 9th - 12th Standards
Take an alternative route with trigonometry and let learners connect a tweaked version of the pythagorean theorem to the original in terms of triangle sides. The assignment leads participants towards deriving the Pythagorean identity...
Lesson Plan
EngageNY

#### The Power of Algebra—Finding Pythagorean Triples

For Students 10th - 12th Standards
The Pythagorean Theorem makes an appearance yet again in this lesson on polynomial identities. Learners prove a method for finding Pythagorean triples by applying the difference of squares identity.
Worksheet
Curated OER

#### 6.5 Skill Builder: Trigonometric Identities

For Students 9th - 12th
In this trigonometric identities worksheet, students solve 16 multi-part short answer problems. Students use the quotient identity and Pythagorean identity to simplify trigonometric expressions. Students factor trigonometric expressions.
Lesson Plan
Curated OER

#### Proof of Identity

For Teachers 9th - 12th Standards
Students explore trigonometric identities.   In this Algebra II lesson, students use graphing to verify the reciprocal identities.  Using Cabri Jr, students investigate the Pythagorean trigonometric identities and the geometric c proofs...
Lesson Plan
Curated OER

#### Pythagorean Theorem Practice

For Teachers 7th - 10th
In this geometry skills worksheets, students examine 10 triangles and use the Pythagorean theorem to identity the lengths of the missing units.
Assessment
1
1
Illustrative Mathematics

#### Calculations with Sine and Cosine

For Students 9th - 12th Standards
Practice makes perfect and perfecting those trigonometric functions are vital in trigonometry. The task requires evaluating cosine and sine values at common degree measures before looking at the results. Is there a pattern when the...
Lesson Plan
Curated OER

#### Mathematical Proofs

For Teachers 9th - 12th
Young scholars explore the nature of mathematical proofs and mathematical inquiry. They complete the activity "Using the Pythagorean Theorem". They read selected articles and participate in class discussions.
Lesson Plan
Curated OER

#### Trigonometry - Week 9

For Teachers 10th - 12th
For this trigonometry worksheet, students use the sum-to-product formula, and the law of sines and cosines to solve trigonometry problems. This two-page worksheet contains eight problems.
Lesson Plan
1
1
Curated OER

#### Trina's Triangles

For Teachers 8th - 11th Standards
Practice evaluating polynomial expressions at the same time you find Pythagorean Triples. Look for patterns and find examples when the "formula" does and doesn't work. Finally, verify the formula by proving the identity true.
Lesson Plan
Curated OER

#### Powers of Trig Functions

For Teachers 10th - 11th
In this trigonometric worksheet, students solve integrals by substitution and the Pythagorean theorem. Students use their trigonometric functions to solve problems. This four-page worksheet contains 20 problems.
Lesson Plan
Curated OER

#### Identities and Trigonometric Values

For Teachers 9th - 11th
Students solve trigonometric equations. In this precalculus lesson, students prove trigonometric identities using the Pythagorean Theorem. They apply the addition formulas for sine and cosine to prove different identities.
Lesson Plan
Curated OER

#### Sin, Cos and Tangent

For Teachers 9th - 10th
Students find the identity o sine, cosine and tangent. In this precalculus lesson, students solve and identify the different parts of a right triangle. They use the ratios of the Pythagorean Theorem to find the missing side or angle.
Lesson Plan
Alabama Learning Exchange

#### Attitude Determines Altitude

For Teachers 7th - 12th Standards
A fabulous lesson which combines mathematics with space science. Middle schoolers work in cooperative groups in order to research early astronauts and their accomplishments. They look at a variety of rocket and space shuttle designs, and...
Lesson Plan
EngageNY

#### Proving Trigonometric Identities

For Teachers 10th - 12th Standards
Young mathematicians first learn the basics of proving trigonometric identities. They then practice this skill on several examples.
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...
Printables
Virginia Department of Education

#### Middle School Mathematics Vocabulary Word Wall Cards

For Teachers 5th - 9th
Having a good working knowledge of math vocabulary is so important for learners as they progress through different levels of mathematical learning. Here is 125 pages worth of wonderfully constructed vocabulary and concept review cards....
Unit Plan
2
2
EngageNY

#### Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Lesson Plan
Curated OER

#### Trigonometric Expressions and Identities

For Teachers Higher Ed
In this college level Pre-calculus worksheet, students use the trigonometric identities to factor and simplify trigonometric expressions.  Students use algebra to prove various trigonometric identities.   The three page worksheet...
Worksheet
Curated OER

#### Further Trigonometry

For Students 11th - Higher Ed
In this trigonometry worksheet, students solve for trigonometric functions. They convert between radians and angles using the properties of sine, cosine and tangent. There are 30 problems on this handout.