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Ever wondered how to teach the Exterior Angle Theorem in an engaging way to your 8th-grade students?

In this lesson plan, students will learn about exterior angles of triangles and the Exterior Angle Theorem. Through artistic guided notes, interactive practice worksheets, and a real-life application, students will gain a comprehensive understanding of the topic.

The lesson ends with a real-life example that explores how the Exterior Angle Theorem can be applied to solve practical problems involving angles in the real world.

- Standard: CCSS 8.G.A.5
- Topics: Shapes & Angles, Triangles & Pythagorean Theorem
- Grade: 8th Grade
- Type: Lesson Plans

$4.25

After this lesson, students will be able to:

Define exterior angle of a triangle and the Exterior Angle Theorem

Calculate missing exterior angles of triangles

Apply the Exterior Angle Theorem to solve problems involving angles of triangles and missing variables

Identify the real-life applications of the Exterior Angle Theorem

Before this lesson on the Exterior Angle Theorem, students should be familiar with:

Understanding of basic geometry concepts, such as angles, triangles, and polygons

How to solve one step or two step equations

Pencils

Colored pencils or markers

Exterior Angle Theorem

As a hook, ask students why understanding the exterior angle of triangles is important in real-life situations. Refer to the last page of the guided notes as well as the FAQs below for ideas.

Use the first page of the guided notes to introduce the concept of exterior angles of triangles. Walk through the definition of exterior angles and how they relate to the angles of a triangle. Emphasize the relationship between the exterior angle and the two remote interior angles. Refer to the FAQ below for a walk through on this, as well as ideas on how to respond to common student questions.

Continue with the second page of the guided notes to introduce the Exterior Angle Theorem. Teach students how to apply the theorem to find unknown exterior angles of triangles. Students will set up equations with Exterior Angle Theorem to solve for the missing variables. Highlight the significance of the theorem in solving geometric problems involving triangles.

Based on student responses, reteach concepts that students need extra help with. If your class has a wide range of proficiency levels, you can pull out students for reteaching, and have more advanced students begin work on the practice exercises.

Have students practice solving problems involving exterior angles of triangles and the Exterior Angle Theorem using the practice worksheet (pg. 2), maze activity (pg. 3), color by number activity (pg. 4) provided in the guided notes resource. Walk around to answer student questions. You can also assign it as homework for independent practice.

Use the last page of the guided notes resource to bring the class back together, and introduce the concept of how the Exterior Angle Theorem can be used in real life situations, such as in architecture and engineering when designing structures with angles, in navigation when determining directions and angles, or in art and design when creating geometric patterns and shapes. Students will read about some real life scenarios of how the Exterior Angle Theorem is used and then reflect on their reading with short sentences (pg. 5 of guided notes). Then, they will rate their mastery of the topic in a mini self assessment box on the bottom of the page.

Refer to the FAQ for more ideas on how to teach real-life applications of the Exterior Angle Theorem!

If you’re looking for digital practice for Exterior Angle Theorem, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.

Here’s 1 activity to explore:

The Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two interior opposite angles.

To find the exterior angle of a triangle, look for the angle formed when one side of the triangle is extended.

The exterior angle of a triangle is equal to the sum of the two interior opposite angles.

The Exterior Angle Theorem is important because it helps us understand the relationship between the exterior and interior angles of a triangle, which is crucial in solving various geometry problems involving triangles.

In a triangle, each exterior angle is equal to the sum of the two remote interior angles ∠A + ∠B = ∠C.

This relationship helps in solving problems related to angles in triangles.

Real-life applications of the Exterior Angle Theorem include architectural designs, construction projects, and navigation calculations.

Understanding this theorem can help in solving practical problems involving angles.

Guided notes provide structured information on the Exterior Angle Theorem, ensuring students stay on track with the lesson.

Doodles and sketches engage visual learners and help students remember key concepts through visual representations.

Color by code worksheets and mazes make learning fun and interactive for students.

These activities can be used for practice and reinforcement of the Exterior Angle Theorem concepts in an engaging way.

The resource is designed to align with 8th-grade Common Core Standards.

It includes structured notes, practice worksheets, and real-life applications, catering to the specific learning needs of 8th-grade students.

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