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Lesson Plan
EngageNY

From Circle-ometry to Trigonometry

For Students 10th - 12th Standards
Can you use triangles to create a circle? Learners develop the unit circle using right triangle trigonometry. They then use the unit circle to evaluate common sine and cosine values.
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Handout
Del Mar College

Formulas for Elementary and Intermediate Algebra

For Students 6th - 9th Standards
Give your scholars the support they need to work with formulas. A reference page offers definitions and picture examples of perimeter, area, surface area, volume, the Pythagorean theorem, a variety of shapes, and more. 
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Lesson Plan
EngageNY

Sine and Cosine of Complementary Angles and Special Angles

For Students 9th - 10th Standards
Building trigonometric basics here will last a mathematical lifetime. Learners expand on the previous lesson in a 36-part series by examining relationships between the sine and cosine of complementary angles. They also review the...
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Lesson Plan
EngageNY

Prove the Pythagorean Theorem Using Similarity

For Students 9th - 10th Standards
Amaze your classes with the ability to find side lengths of triangles immediately — they'll all want to know your trick! Learners use the Pythagorean Theorem and special right triangle relationships to find missing side lengths.
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Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
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Worksheet
Curated OER

Special Right Triangles Homework

For Students 9th - 12th
In this geometry worksheet, students solve both kinds of special right triangles. There are 12 questions with multiple parts.
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Handout
Wolfram Research

Wolfram Math World: Pythagorean Triple

For Students 9th - 10th Standards
This site provides extensive information about Pythagorean triples. It begins by explaining its relation to the Pythagorean theorem, and then gives ways to generate Pythagorean triples using relatively prime numbers and Fibonacci numbers.
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Activity
Analyze Math

Analyze Math: Special Triangles Used in Trigonometry

For Students 9th - 10th Standards
The trigonometry tutorial investigates special triangles. The activity includes isosceles right triangles and 30-60-90 triangles. The examples show how to obtain the six trigonometric ratios of the special angles using special triangles.
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Activity
Other

Brown Math: A 10 Minute Trig Review

For Students 9th - 10th Standards
Looking for a 10-minute review of the major concepts of trigonometry? This site is a quick recap of degrees and radians, SOH CAH TOA, Pythagorean identities, and special right triangles are all found here.
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Interactive
Mangahigh

Mangahigh: Shape: 3 D Trigonometry

For Students 9th - 10th Standards
Test your knowledge of determing the lengths and angles of right triangles.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: Recognize 45 45 90 Right Triangles

For Students 8th
[Free Registration/Login may be required to access all resource tools.] Recognize special right triangles and their properties.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: 45 45 90 Right Triangles

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Apply the special properties of 45-45-90 right triangles.
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Unknown Type
McGraw Hill

Glencoe Mathematics: Online Study Tools: Special Right Triangles

For Students 9th - 10th Standards
This site gives a short interactive quiz which allows students to self-assess their understanding of the concept of special right triangles.
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Activity
CK-12 Foundation

Ck 12: 45 45 90 Triangles

For Students 9th - 10th Standards
[Free Registration/Login Required] Students use a baseball field to determine the distance between points and 45-45-90 triangles. Click learn more to watch a video and click challenge me to answer a practice question.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 1

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Special Triangles 2

For Teachers 9th - 10th Standards
Using known facts about the unit circle and isosceles triangles together with the Pythagorean Theorem, students can derive the sine and cosine of special angles. Aligns with HSF-TF.A.3.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf Equilateral Triangles and Trigonometric Functions

For Teachers 9th - 10th Standards
The purpose of this task is to apply knowledge about triangles to calculate the sine and cosine of 30 and 60 degrees. Aligns with HSF-TF.A.3.
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Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Special Triangle Ratios

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] Use right triangle ratios to solve for sides of triangles.
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Handout
CK-12 Foundation

Ck 12: Geometry: Special Right Triangles Study Guide

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Different types of right triangles and trigonometric ratios for special right triangles are covered in this study guide.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: 30 60 90 Right Triangles Intermediate

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about the 30-60-90 special right triangle and how to apply its properties.
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Unit Plan
CK-12 Foundation

Ck 12: Geometry: 45 45 90 Right Triangles Intermediate

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] This concept teaches students about the 45-45-90 special right triangle and how to apply its properties.
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Unknown Type
Khan Academy

Khan Academy: Special Right Triangles

For Students 9th - 10th Standards
Use your knowledge of 30-60-90 and 45-45-90 triangles to solve some problems.
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Unit Plan
Curated OER

45 45 90 and 30 60 90 Triangles

For Students 9th - 10th Standards
The formulas for 45-45-90 and 30-60-90 triangles and the use of the Pythagorean theorem to prove the formulas.
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Unit Plan
Sophia Learning

Sophia: Two Special Triangles: Lesson 5

For Students 9th - 10th
This lesson explains what 45-45-90 and 30-60-90 right triangles are and discusses their properties. It is 5 of 5 in the series titled "Two Special Triangles."