# Ch 6: Triangle Geometry Lesson Plans

### About This Chapter

## Triangle Geometry Lesson Plans - Chapter Summary

Enhance your triangle geometry curriculum and lessons using the resources in this online chapter. Lesson plans offer curriculum standards, discussion ideas, learning objectives and more to aid your lesson planning process. Accompanying the lesson plans are supplemental lessons and short quizzes that cover various triangle geometry topics. Topics explored in this chapter include:

- Similar triangles
- Properties of right triangles
- Pythagorean theorem
- Law of sines
- Special right triangles

Feel free to access these resources around-the-clock using any computer, smartphone or tablet. Plan your lessons at school, home or anywhere with an Internet connection, and boost your students' knowledge by sharing the lessons and quizzes in the classroom.

## How It Helps

**Curriculum standards:**Ensures your lessons closely align with current geometry education standards**Discussion questions and topics:**Offers thought-provoking discussion topics and questions to probe your students and expand their understanding**Games and activities:**Helps you keep students engaged with games and activities that make learning about triangle geometry fun

## How It Works

This helpful resource offers teachers lesson plan outlines with relevant tools to make planning triangle geometry lessons easy.

- Find lesson plans for specific triangle geometry topics you want to cover in class.
- Formulate your triangle geometry class outline using the suggested classroom tools offered in the lesson plans.
- Share the related triangle geometry lessons for each lesson plan with students in class to make learning fun and engaging.
- Use related lesson quizzes to ensure your students understand the most important triangle geometry concepts from the lessons.
- Engage your students with relevant triangle geometry-related activities, discussion questions or other materials found in the lesson plan outline.

### 1. Area of a Triangle Lesson Plan

In this lesson plan, students learn how to determine the area of a triangle and measure different real world triangular objects to learn how to put the proper equation into practice.

### 2. How to Find the Area of a Triangle: Lesson for Kids

Look around you; measurements are everywhere! We measure the length and height of things all the time. The area of a shape is another important measurement to understand. In this lesson, we will explore the steps to finding the area of triangles.

### 3. Isosceles Triangle Lesson Plan

In this lesson plan, students will investigate isosceles triangles. They will use an informational text to guide them in an engaging game, followed by some partner work and ending with a performance task.

### 4. What is an Isosceles Triangle? - Definition, Properties & Theorem

In this lesson, you'll learn how an isosceles triangle's sides and angles make it unique. You'll also learn the theorem of isosceles triangles. Then, you can test your knowledge with a brief quiz.

### 5. Congruent Triangles Lesson Plan

Through the use of an informative video lesson, students will discover what triangle congruency is and use the three postulates in the lesson to investigate congruency with a hands-on activity. Through tracing and putting these geometric shapes on paper, students are also introduced to rudimentary mathematical proofs.

### 6. Similar Triangles Lesson Plan

Examine and analyze similar triangles with this Study.com lesson plan. Students will learn the language of similarity, learn triangle similarity theorems, and view examples. Follow up with an engaging activity.

### 7. How to Identify Similar Triangles

Similar triangles have the same characteristics as similar figures but can be identified much more easily. Learn the shortcuts for identifying similar triangles here and test your ability with a quiz.

### 8. Triangle Inequality Activities

Triangle inequality is an important geometric principle for anyone learning about triangles and how they relate to one another. This lesson offers some activities you can use to teach your students about triangle inequality.

### 9. The Pythagorean Theorem: Practice and Application

The Pythagorean theorem is one of the most famous geometric theorems. Written by the Greek mathematician Pythagoras, this theorem makes it possible to find a missing side length of a right triangle. Learn more about the famous theorem here and test your understanding with a quiz.

### 10. Sierpinski Triangle Lesson Plan

Students studying triangles can examine the Sierpinski Triangle to understand similarity. This lesson plan includes activities to construct and measure a Sierpinski Triangle, as well as a group activity to create a collaborative Sierpinski Triangle.

### 11. What is The Sierpinski Triangle? - Pattern & History

The Sierpinski Triangle is a fascinating design in mathematics. This lesson will define the Sierpinski Triangle, observe its construction, discuss some of the patterns it contains, and take a brief look at the history of this interesting shape.

### 12. Right Triangles Lesson Plan

Use this lesson plan to introduce your students to right triangles. Students will watch a video lesson, perform several sample problems, solve real-world application problems, and write their own word problems involving right triangles.

### 13. Properties of Right Triangles: Theorems & Proofs

In this lesson, you will learn about the properties of and theorems associated with right triangles, which have a wide range of applications in math and science. Specifically, we will discuss and prove the Pythagorean theorem and the right triangle altitude theorem. Let's get started.

### 14. Special Right Triangles Lesson Plan

Use this lesson plan to help guide your instruction of special right triangles to students. Students will learn properties of each and how to solve some triangle problems. Find related lessons and extension options, as well.

### 15. Special Right Triangles: Types and Properties

Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.

### 16. Law of Sines Lesson Plan

This lesson plan utilizes a couple of mini-activities, an activity, a quiz, as well as key terms and discussion questions to help students learn the value of, and apply, the law of sines.

### 17. Using the Law of Sines to Solve a Triangle

After watching this video lesson, you will be able to use the law of sines to find a missing side of a triangle as well as a missing angle of a triangle. Learn what you need to know about the triangle in order to use the formula.

### 18. SSS & SAS Congruence Activities

Learning about congruence can be an important and fun way for students to get involved in geometry on a sophisticated level. These activities will help your students understand SSS and SAS congruence.

### 19. Right Triangle Trigonometry Lesson Plan

This lesson plan walks students through the steps of solving missing angles in a right triangle. Students will use this knowledge to solve right triangles with the help of their peers, and then a homework activity will solidify learning.

### 20. Sine & Cosine of Complementary Angles

In this lesson, we'll look at the relationship between the sine and cosine of complementary angles. We'll discuss where this relationship comes from and explore examples of how it can be used.

### 21. Trigonometric Ratio Lesson Plan

Walk your students through the steps of using the sides of a right triangle and trigonometric ratios to find the measure of the other angles. Your students will then practice this skill in a safe, group setting.

### 22. Trigonometric Ratios and Similarity

Where do terms like sine, cosine and tangent come from? In this lesson, we'll learn about how similarity with right triangles leads to trigonometric ratios.

### 23. Applying the Law of Sines Lesson Plan

In this lesson, teachers will find a guide to introducing the Law of Sines to students. A quick review of the Pythagorean Theorem and SOH CAH TOA are included. Students will participate in practice problems, a group activity, and a quiz.

### 24. Law of Sines: Definition and Application

Don't get stuck trying to find missing sides or angles in a triangle. Use the Law of Sines to rescue you from any perilous triangle in which you have just a few pieces of information.

### 25. Law of Cosines Lesson Plan

This lesson plan introduces the Law of Cosines to students and helps them contextualize this concept by using the Pythagorean Theorem as a basis. A pre-activity reinforces students' previous knowledge of the Pythagorean Theorem, and a post-activity uses student modeling of problems to show conceptual understanding. Throughout the lesson, discussion questions are presented to build upon student's prior knowledge and extend student learning.

### 26. Law of Cosines: Definition and Application

In this lesson, we'll learn how to solve problems involving three sides and one angle in a triangle. The Law of Cosines, a modification of the Pythagorean Theorem, will save the day.

### 27. Graphing the Sine Function Lesson Plan

This lesson plan introduces the Sine functions to students in graphical form, contextualizing this concept through the notion of waves. A pre-activity reinforces students' previous knowledge of special right triangles, and a post-activity uses Slinkies to create wave functions similar to the Sine function. Throughout the lesson, discussion questions are presented to build upon student's prior knowledge and extend student learning.

### 28. Graphing Sine and Cosine

Sine and cosine aren't just for triangles; they can also be waves. See them graphed on the unit circle and then learn how that translates into the sine and cosine waves.

### 29. Heron's Formula Games & Activities

When calculating the area of a triangle, students can use Heron's formula. These classroom games and activities can help your students understand how to use Heron's formula when calculating the area of a triangle.

### 30. Pythagorean Theorem Activities & Games

If your class is studying triangles and geometry, then learning about the Pythagorean Theorem is essential. Use these games and activities to help students learn the Pythagorean Theorem and apply it to real-world situations.

### 31. Classifying Triangles Games

If you're teaching your students geometry, classifying triangles by angles and sides is an essential skill to include. Use these games to help students classify triangles.

### 32. Trigonometry Activities for High School Algebra

As a high school algebra teacher, you also have the task of helping students get ready to study trigonometry. This lesson provides some trigonometry activities that are relevant in the context of algebra class.

### 33. Triangle Activities for High School Geometry

As students study triangle geometry, they should examine calculations and theorems related to a triangle's sides and angles. Consider using these activities to help students explore similarity, congruency, and the Pythagorean Theorem.

### 34. Trigonometry Activities for High School Geometry

Trigonometry refers to any mathematics that deals with the sides and angles of triangles. This lesson offers activities that will help your high school geometry students get more familiar with trigonometry.

### 35. Triangle Theorems & Proofs Activities

As students deepen their understanding of geometry, they will learn more about triangles and the theorems and proofs related to triangles. This lesson offers activities that will supplement this learning.

### 36. Trigonometric Identities Activities

If you are teaching your students trigonometry in the context of a geometry class, then it will be important for you to cover the topic of identities. This lesson offers some activities that will make your instruction more meaningful.

### 37. Trigonometric Graphs Activities

Learning how to graph trigonometric concepts and functions is a significant part of comprehending the relationship between trigonometry and geometry. This lesson offers activities that help with teaching trigonometric graphs.

### 38. Trigonometric Applications Activities

Learning trigonometry will feel more important and meaningful to students if they understand ways they can apply their understanding. This lesson offers activities related to trigonometric application.

### 39. Trigonometric Functions Activities

While students examine triangle geometry, its important to explain its relationship to trigonometric functions. Use these hands-on activities to help students learn about trigonometric functions and triangle geometry.

### 40. Pythagorean Theorem Lesson Plan

Want to beef up your instruction on the Pythagorean theorem? Use a video lesson to seamlessly deliver the content while allowing students the opportunity to actively apply what they've learned. For further instruction on this topic, we've included supplementary activities and related lessons.

### 41. Hinge Theorem Lesson Plan

This lesson plan will introduce your students to the hinge theorem and its converse. Students will draw and measure triangles to prove this theorem, then develop word problems to explore its real-world application.

### 42. Right Triangle Project Ideas

Right triangles are triangles in which one of angles measures 90 degrees. These projects will help students review right triangles and how they can be used to find out information about other shapes.

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### Other Chapters

Other chapters within the Geometry Resources & Lesson Plans course