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Ch 40: 6th-8th Grade Geometry: Circular Arcs & Measurement

About This Chapter

The brief and fun video lessons in this chapter on circular arcs and measurements teach 6th-8th graders how to identify and draw tangents, line segments, and circles. Lesson transcripts with bolded keywords help students recognize major topics.

6th-8th Grade Geometry: Circular Arcs & Measurement - Chapter Summary

View the video lessons in this chapter to explore the circular arcs and measuring strategies that your elementary and middle school students have been discussing in class. Straightforward and interesting videos describe the different angles, segments, and arcs of circles. Furthermore, students gain a deeper understanding of how to construct these geometry concepts. Evaluate your elementary and middle school students' progress by assigning lesson quizzes as homework.

Chapter Lessons and Objectives

Lesson Objectives
Circular Arcs and Circles: Definitions and Examples Lesson draws out and explains the properties of a circle, determines how to find the distance between a circle and a point, and then describes the following terms: semicircles, locus, circular arcs, and points.
Central and Inscribed Angles: Definitions and Examples Instructors explain the properties of these specific angles.
Measure of an Arc: Process & Practice Students learn to identify the steps involved in measuring an arc.
How to Find the Measure of an Inscribed Angle Instructors provide the definition of an inscribed angle, and then indicate how the angle is measured.
Tangent of a Circle: Definition & Theorems Your students analyze a circle's tangent, go over tangent postulates, and draw a circle's tangent.
Measurements of Angles Involving Tangents, Chords & Secants Lesson reviews how to measure angles created by tangents.
Measurements of Lengths Involving Tangents, Chords & Secants Here, students can study how to measure segment lengths when tangents are involved.
Inscribed and Circumscribed Figures: Definition & Construction Instructors establish circumscribed and inscribed figures, explore the relationship between these figures, and research the steps involved in constructing these figures.
Constructing Inscribed & Circumscribed Triangles Students practice creating the circumscribed and inscribed circles of a triangle.
Regular Polygons: Definition & Parts Lesson instructors elaborate on the properties of regular polygons and sketch out this shape.
Arc Length of a Sector: Definition and Area Your students learn the formula to measure the area of the sector, describe arc length, and explain the sector of a circle.

10 Lessons in Chapter 40: 6th-8th Grade Geometry: Circular Arcs & Measurement
Circular Arcs and Circles: Definitions and Examples

1. Circular Arcs and Circles: Definitions and Examples

What is a circle? In this lesson, find out all about the circle and its many parts, including circular arcs and semicircles. Also, discover how a locus works in creating a circle, parallel lines and more.

Measure of an Arc: Process & Practice

2. Measure of an Arc: Process & Practice

What is the measure of an arc? And what is the difference between a minor arc and a major arc? Find out all that and practice finding the measure of an arc in this lesson.

How to Find the Measure of an Inscribed Angle

3. How to Find the Measure of an Inscribed Angle

Finding the measure of an inscribed angle requires knowing a little information. In this lesson, we'll find the measure of an inscribed angle when we know the measure of the central angle or one or more of the arcs formed by the angle.

Tangent of a Circle: Definition & Theorems

4. Tangent of a Circle: Definition & Theorems

What happens when a line just barely touches a circle? It's a tangent! In this lesson, we'll learn all about tangents to circles, including a few key theorems. We'll also look at tangent circles.

Measurements of Angles Involving Tangents, Chords & Secants

5. Measurements of Angles Involving Tangents, Chords & Secants

When lines and circles meet, angles are formed. Fortunately, we can determine the measure of these angles, whether they're formed by tangents, secants or chords, just by knowing the measure of the created arcs.

Measurements of Lengths Involving Tangents, Chords and Secants

6. Measurements of Lengths Involving Tangents, Chords and Secants

The lengths of chords, tangents and secants take on unique relationships when they're drawn on circles. In this lesson, we'll define those relationships and see them in action.

Inscribed and Circumscribed Figures: Definition & Construction

7. Inscribed and Circumscribed Figures: Definition & Construction

A square and a circle may be different shapes, but they still can have a unique relationship. In this lesson, we'll learn about inscribed and circumscribed figures.

Constructing Inscribed & Circumscribed Triangles

8. Constructing Inscribed & Circumscribed Triangles

Watch this video lesson to learn how you can construct inscribed and circumscribed triangles. Learn how both involve circles. All you need are a ruler and a compass.

Regular Polygons: Definition & Parts

9. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

Arc Length of a Sector: Definition and Area

10. Arc Length of a Sector: Definition and Area

In this lesson, we'll slice up a circle like it's a pizza and learn how to find out useful information about our slices. We'll find out the area of these sectors, or pie slices. We'll also learn about arc lengths.

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Other Chapters

Other chapters within the 6th-8th Grade Math: Practice & Review course

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