Lesson Plan
1
1
Curated OER

Sums and Difference of Cubes

For Teachers 8th - 11th Standards
Learners factor polynomials using the sum and difference of cubes. They also learn connections between the graph and expression.
Assessment
Illustrative Mathematics

Sum and Difference Angle Formulas

For Students 9th - 12th Standards
Need practice deriving trigonometric angle formulas? With this worksheet, pupils derive the sum and difference formulas for cosine and tangent and the difference formula for sine. Scholars use the sine sum formula and other known...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 1

For Teachers 11th - 12th Standards
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
Activity
Curated OER

Sum and Difference angle formulas

For Teachers 10th - 12th Standards
Learners use the sum angle formula for sine to derive the sum and difference formulas for cosine and tangent. The level of difficulty is quite high. Learners must be familiar with trigonometric identities as well as the characteristics...
Worksheet
Curated OER

Angle Sum and Difference

For Students 11th
In this angle sum and difference activity, 11th graders solve 10 different problems related to determining the angle sum and difference of numbers. First, they determine the exact value of sine and cosine degrees. Then, students utilize...
Lesson Plan
EngageNY

Addition and Subtraction Formulas 2

For Teachers 11th - 12th Standards
Knowing the addition formulas allows for the calculations of double and half formulas. The fourth installment of 16 has the class use the addition formula to develop the double angle trigonometric formulas. Using the double formula,...
Worksheet
Curated OER

Trigonometry Sum and Difference Identities

For Students 9th - 11th
In this algebra worksheet, students solve a word problem using trigonometric identities. They solve problems about a love triangle. There is an answer key.
Lesson Plan
1
1
EngageNY

Dividing by (x – a) and (x + a)

For Students 10th - 12th Standards
Patterns in math emerge from seemingly random places. Learners explore the patterns for factoring the sum and differences of perfect roots. Analyzing these patterns helps young mathematicians develop the polynomial identities.
Worksheet
Curated OER

Trigonometric Identities

For Students 11th - 12th
In this trigonometry instructional activity, students solve and analyze the reciprocal, quotient, Pythagorean and Cofunction Identities. They also discuss sum and difference identities, double angle and half angle identities.
Worksheet
Curated OER

Solving Polynomial Equations

For Students 8th - 11th Standards
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
Lesson Plan
EngageNY

Roots of Unity

For Teachers 11th - 12th Standards
Visualize the nth roots of unity. Pupils calculate the nth roots of unity and find all n roots. Learners plot the solutions in the complex plane and observe that they are the vertices of a regular n-gon inscribed in the unit circle....
Lesson Plan
Curated OER

Identities and Trigonometric Values

For Teachers 9th - 11th
Students solve trigonometric equations. In this precalculus lesson plan, 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

Trig Review

For Teachers 12th
Twelfth graders review the 6 identities of trigonometry. In this trig lesson, 12th graders review the importance of the right triangle as it relates to sine, cosine and tangent. They review the basic trig identities and how it relates to...
Lesson Plan
Curated OER

Mathematical Properties for Addition

For Teachers 5th - 6th
In this math worksheet, students read about and learn the properties of addition. Students study the commutative, associative, identity and inverse properties. There are no problems on this page for students to solve.
Worksheet
Curated OER

Principal vs Principle

For Students Higher Ed
For this English grammar worksheet, students understand the differences between the usage of the words "principal" and "principle."  Students read the definition of each and the given examples before taking the online...
Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Tangent

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Applications of Sum and Difference Formulas

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Solving equations and verifying identities with the sum and difference formulas.
Handout
Windstream

Ojk's Precalculus Study Page: Sum and Difference Formulas for Sine and Cosine

For Students 9th - 10th Standards
An introduction to trigonometric identities, beginning with the sum and difference formulas. Some of the formulas are proven, some are left to the reader. Includes several examples and pictures.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Sum and Difference Formulas

For Students 9th - 10th Standards
Twenty problems are presented for practice working with sum and difference formulas for sine, cosine, and tangent.
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Sine Sum and Difference Formulas

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Sine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite sine functions with addition or subtraction in their...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Cosine Sum and Difference Formulas

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Examples, videos, and practice problems covering cosine of a sum or difference related to a set of cosine and sine functions. Here you'll learn to rewrite cosine...
Unknown Type
Khan Academy

Khan Academy: Find Trig Values Using Angle Addition Identities

For Students 9th - 10th Standards
Find the trigonometric values of various angles that (while they are not special angles) can be expressed as the sum or difference of special angles. Students receive immediate feedback and have the opportunity to try questions...
Activity
Windstream

Ojk's Precalculus Study Page: Double and Half Angle Formulas

For Students 9th - 10th Standards
This tutorial introduces the double-angle and half-angle formulas for sine, cosine, and tangent, and gives sample application and proof exercises. Assumes knowledge of the sum and difference formulas.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Trigonometric Identities

For Students 9th - 10th Standards
This resource clearly and thoroughly explains the many types of trigonometric identities. There are example problems solved, problems for the student to attempt, and answers to the student problems.