Illustrative Math Alignment: Grade 7 Unit 3

Topic

Geometry Basics

Definition

The point where the angle bisectors of a triangle intersect.

Topic

Geometry Basics

Definition

The point where the angle bisectors of a triangle intersect.

Topic

Geometry Basics

Definition

The point where the perpendicular bisectors of a triangle intersect.

Description

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from all three vertices of the triangle. Understanding the circumcenter is important in solving problems related to triangle geometry and circle properties. For example, the circumcenter is the center of the circumscribed circle that passes through all three vertices of the triangle.

Topic

Geometry Basics

Definition

The point where the perpendicular bisectors of a triangle intersect.

Description

The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect. This point is equidistant from all three vertices of the triangle. Understanding the circumcenter is important in solving problems related to triangle geometry and circle properties. For example, the circumcenter is the center of the circumscribed circle that passes through all three vertices of the triangle.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

Focusing on the Pantheon, this segment introduces chords, inscribed angles, and intercepted arcs, connecting them to architectural features. The 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.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment explores the geometric complexities of the Roman Coliseum 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 Coliseum, showcasing the Romans’ use of circular arcs to approximate an ellipse.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Description

This segment discusses the geometry of circles and their cultural and astronomical significance. It introduces concepts such as the center, radius, diameter, chords, and arcs, emphasizing their applications in ancient structures like Pueblo Bonito and Stonehenge. Key vocabulary includes equinox, solstice, radius, and chord. Applications include tracking celestial events and designing circular structures for ceremonial or observational purposes.

Topic

Circles

Topic

Circles

Topic

Circles

Topic

Circles

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