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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 3

Measuring Circles

Lesson 2: Exploring Circles

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Definition--Circle Concepts--Center of a Circle Definition--Circle Concepts--Center of a Circle Center of a Circle

Topic

Circles

Definition

The center of a circle is the point equidistant from all points on the circle.

Description

The center of a circle is a pivotal concept in geometry, serving as the reference point from which the radius is measured. It is crucial in defining the circle's position in a plane and is used in various applications such as navigation, where the center can represent a central point of rotation or balance. In mathematical terms, the center is often denoted as the point (h , k) in the Cartesian coordinate system, where all points on the circle satisfy the equation 

Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Definition--Circle Concepts--Circular Arc Definition--Circle Concepts--Circular Arc Circular Arc

Topic

Circles

Definition

A circular arc is a portion of the circumference of a circle.

Description

Circular arcs are segments of a circle's circumference, used extensively in design, architecture, and engineering to create curved structures and paths. The length of an arc is determined by the central angle and the circle's radius, calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Circular Arc Definition--Circle Concepts--Circular Arc Circular Arc

Topic

Circles

Definition

A circular arc is a portion of the circumference of a circle.

Description

Circular arcs are segments of a circle's circumference, used extensively in design, architecture, and engineering to create curved structures and paths. The length of an arc is determined by the central angle and the circle's radius, calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Circular Arc Definition--Circle Concepts--Circular Arc Circular Arc

Topic

Circles

Definition

A circular arc is a portion of the circumference of a circle.

Description

Circular arcs are segments of a circle's circumference, used extensively in design, architecture, and engineering to create curved structures and paths. The length of an arc is determined by the central angle and the circle's radius, calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Arc Length Definition--Circle Concepts--Arc Length Arc Length

Topic

Circles

Definition

An arc length is the distance along the curved line making up the arc.

Description

The arc length is a crucial concept in geometry, particularly when dealing with circles. It is calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Arc Length Definition--Circle Concepts--Arc Length Arc Length

Topic

Circles

Definition

An arc length is the distance along the curved line making up the arc.

Description

The arc length is a crucial concept in geometry, particularly when dealing with circles. It is calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Arc Length Definition--Circle Concepts--Arc Length Arc Length

Topic

Circles

Definition

An arc length is the distance along the curved line making up the arc.

Description

The arc length is a crucial concept in geometry, particularly when dealing with circles. It is calculated using the formula 

L = rθ

Definition of a Circle
Definition--Circle Concepts--Center of a Circle Definition--Circle Concepts--Center of a Circle Center of a Circle

Topic

Circles

Definition

The center of a circle is the point equidistant from all points on the circle.

Description

The center of a circle is a pivotal concept in geometry, serving as the reference point from which the radius is measured. It is crucial in defining the circle's position in a plane and is used in various applications such as navigation, where the center can represent a central point of rotation or balance. In mathematical terms, the center is often denoted as the point (h , k) in the Cartesian coordinate system, where all points on the circle satisfy the equation 

Definition of a Circle
Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles Interactive Crossword Puzzle--Circles

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Definition--Circle Concepts--Center of a Circle Definition--Circle Concepts--Center of a Circle Center of a Circle

Topic

Circles

Definition

The center of a circle is the point equidistant from all points on the circle.

Description

The center of a circle is a pivotal concept in geometry, serving as the reference point from which the radius is measured. It is crucial in defining the circle's position in a plane and is used in various applications such as navigation, where the center can represent a central point of rotation or balance. In mathematical terms, the center is often denoted as the point (h , k) in the Cartesian coordinate system, where all points on the circle satisfy the equation 

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Geometry Basics--Central Angle Definition--Geometry Basics--Central Angle Central Angle

Topic

Geometry Basics

Definition

An angle whose vertex is the center of a circle and whose sides are radii.

Description

A central angle is an angle whose vertex is at the center of a circle and whose sides are radii of the circle. This concept is essential in understanding the properties of circles and the relationships between angles and arcs. For example, the measure of a central angle is equal to the measure of the arc it intercepts. Understanding central angles is important for solving problems related to circle geometry and trigonometry.

Definition of a Circle
Definition--Circle Concepts--Chord Definition--Circle Concepts--Chord Chord

Topic

Circles

Definition

A chord is a line segment with both endpoints on the circle.

Definition of a Circle
Definition--Circle Concepts--Chord Definition--Circle Concepts--Chord Chord

Topic

Circles

Definition

A chord is a line segment with both endpoints on the circle.

Definition of a Circle
Definition--Circle Concepts--Chord Definition--Circle Concepts--Chord Chord

Topic

Circles

Definition

A chord is a line segment with both endpoints on the circle.

Definition of a Circle
Math Clip Art Math Clip Art Collection: Geometry Concepts

Overview

This collection of math clip art on Geometry Concepts contains over 100 resources that provide a visual and interactive way to teach geometric concepts. Math clip art is an invaluable tool for teachers, as it allows them to create visually appealing and informative materials that capture students' attention and reinforce key concepts. This collection is particularly useful for elementary math instruction, offering a wide range of ten frame models that can be easily incorporated into lessons, worksheets, and pres

Surface Area, Applications of Transformations, Definition of a Circle, Applications of Polygons, Modeling Shapes, 3-Dimensional Figures, Applications of 3D Geometry, Exploring Coordinate Systems, Coordinate Systems, Applications of Coordinate Geometry, Applications of Points and Lines, Definition of a Quadrilateral, Applications of Triangles, Numerical Expressions, Geometric Constructions with Angles and Planes, Geometric Constructions with Points and Lines, Length, Definition of a Polygon, Definition of a Triangle, Exponential and Logarithmic Functions and Equations, Graphs of Exponential and Logarithmic Functions, Parallel Lines, Perpendicular Lines, Identifying Shapes, Proportions, Applications of Quadrilaterals and Geometric Constructions with Polygons
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. VIDEO: Geometry Applications: Circles, 2 VIDEO: Geometry Applications: Circles, 2

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Colosseum and its elliptical structure. It differentiates between circular and elliptical geometries, explaining terms like ellipse, foci, and perimeter. The video applies these concepts to analyze the construction techniques of the Colosseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles VIDEO: Geometry Applications: Circles, 3 VIDEO: Geometry Applications: Circles, 3

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. he video uses the oculus as a practical example, demonstrating how light patterns and angles relate to geometric principles. Applications include understanding light dynamics and their symbolic representation in architecture.

Applications of Circles and Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle
Interactive Math Game--Memory Game, Circles Interactive Math Game--Memory Game: Circles Interactive Math Game--Memory Game: Circles

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
Definition of a Circle