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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 3

Measuring Circles

Lesson 3: Exploring Circumference

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Definition--Circle Concepts--Inscribed Angle Definition--Circle Concepts--Inscribed Angle Inscribed Angle

Topic

Circles

Definition

An inscribed angle is an angle formed by two chords in a circle that share an endpoint.

Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle Definition--Circle Concepts--Hexagon Inscribed in a Circle Hexagon Inscribed in a Circle

Topic

Circles

Definition

A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.

Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle Definition--Circle Concepts--Hexagon Inscribed in a Circle Hexagon Inscribed in a Circle

Topic

Circles

Definition

A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.

Definition of a Circle
Definition--Circle Concepts--Hexagon Inscribed in a Circle Definition--Circle Concepts--Hexagon Inscribed in a Circle Hexagon Inscribed in a Circle

Topic

Circles

Definition

A hexagon inscribed in a circle is a six-sided polygon where each vertex touches the circle.

Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle Definition--Circle Concepts--Square Inscribed in a Circle Square Inscribed in a Circle

Topic

Circles

Definition

A square inscribed in a circle has its vertices touching the circle.

Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle Definition--Circle Concepts--Square Inscribed in a Circle Square Inscribed in a Circle

Topic

Circles

Definition

A square inscribed in a circle has its vertices touching the circle.

Definition of a Circle
Definition--Circle Concepts--Square Inscribed in a Circle Definition--Circle Concepts--Square Inscribed in a Circle Square Inscribed in a Circle

Topic

Circles

Definition

A square inscribed in a circle has its vertices touching the circle.

Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle Definition--Circle Concepts--Triangle Inscribed in a Circle Triangle Inscribed in a Circle

Topic

Circles

Definition

A triangle inscribed in a circle has its vertices on the circle.

Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle Definition--Circle Concepts--Triangle Inscribed in a Circle Triangle Inscribed in a Circle

Topic

Circles

Definition

A triangle inscribed in a circle has its vertices on the circle.

Definition of a Circle
Definition--Circle Concepts--Triangle Inscribed in a Circle Definition--Circle Concepts--Triangle Inscribed in a Circle Triangle Inscribed in a Circle

Topic

Circles

Definition

A triangle inscribed in a circle has its vertices on the circle.

Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle Definition--Circle Concepts--Point of Tangency to a Circle Point of Tangency to a Circle

Topic

Circles

Definition

The point of tangency is the point where a tangent line touches the circle.

Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle Definition--Circle Concepts--Point of Tangency to a Circle Point of Tangency to a Circle

Topic

Circles

Definition

The point of tangency is the point where a tangent line touches the circle.

Definition of a Circle
Definition--Circle Concepts--Point of Tangency to a Circle Definition--Circle Concepts--Point of Tangency to a Circle Point of Tangency to a Circle

Topic

Circles

Definition

The point of tangency is the point where a tangent line touches the circle.

Definition of a Circle
Definition--Circle Concepts--Concentric Circles Definition--Circle Concepts--Concentric Circles Concentric Circles

Topic

Circles

Definition

Concentric circles are circles that share the same center but have different radii.

Definition of a Circle
Definition--Circle Concepts--Concentric Circles Definition--Circle Concepts--Concentric Circles Concentric Circles

Topic

Circles

Definition

Concentric circles are circles that share the same center but have different radii.

Definition of a Circle
Definition--Circle Concepts--Concentric Circles Definition--Circle Concepts--Concentric Circles Concentric Circles

Topic

Circles

Definition

Concentric circles are circles that share the same center but have different radii.

Definition of a Circle
Definition--Circle Concepts--Tangent Circles Definition--Circle Concepts--Tangent Circles Tangent Circles

Topic

Circles

Definition

Tangent circles are two or more circles that intersect at exactly one point.

Definition of a Circle
Definition--Circle Concepts--Tangent Circles Definition--Circle Concepts--Tangent Circles Tangent Circles

Topic

Circles

Definition

Tangent circles are two or more circles that intersect at exactly one point.

Definition of a Circle
Definition--Circle Concepts--Tangent Circles Definition--Circle Concepts--Tangent Circles Tangent Circles

Topic

Circles

Definition

Tangent circles are two or more circles that intersect at exactly one point.

Definition of a Circle
Definition--Circle Concepts--Tangent Circles Definition--Circle Concepts--Tangent Circles Tangent Circles

Topic

Circles

Definition

Tangent circles are two or more circles that intersect at exactly one point.

Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane Definition--Circle Concepts--Circles on a Coordinate Plane Circles on a Coordinate Plane

Topic

Circles

Definition

Circles on a coordinate plane are defined by their center coordinates and radius.

Description

Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is 

(x − h)2 + (y − k)2 = r2

Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane Definition--Circle Concepts--Circles on a Coordinate Plane Circles on a Coordinate Plane

Topic

Circles

Definition

Circles on a coordinate plane are defined by their center coordinates and radius.

Description

Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is 

(x − h)2 + (y − k)2 = r2

Definition of a Circle
Definition--Circle Concepts--Circles on a Coordinate Plane Definition--Circle Concepts--Circles on a Coordinate Plane Circles on a Coordinate Plane

Topic

Circles

Definition

Circles on a coordinate plane are defined by their center coordinates and radius.

Description

Understanding circles on a coordinate plane is essential for analyzing geometric shapes in a mathematical context. This concept is widely used in computer graphics, navigation systems, and physics simulations, where precise positioning and movement of circular objects are required. The standard equation of a circle in the coordinate plane is 

(x − h)2 + (y − k)2 = r2

Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections Definition--Circle Concepts--Circular Cross-Sections Circular Cross-Sections

Topic

Circles

Definition

Circular cross-sections are the intersections of a plane with a solid that result in a circle.

Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections Definition--Circle Concepts--Circular Cross-Sections Circular Cross-Sections

Topic

Circles

Definition

Circular cross-sections are the intersections of a plane with a solid that result in a circle.

Definition of a Circle
Definition--Circle Concepts--Circular Cross-Sections Definition--Circle Concepts--Circular Cross-Sections Circular Cross-Sections

Topic

Circles

Definition

Circular cross-sections are the intersections of a plane with a solid that result in a circle.

Definition of a Circle
Definition--Circle Concepts--Equation of a Circles Definition--Circle Concepts--Equation of a Circles Equation of a Circle

Topic

Circles

Definition

The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.

Definition of a Circle
Definition--Circle Concepts--Equation of a Circles Definition--Circle Concepts--Equation of a Circles Equation of a Circle

Topic

Circles

Definition

The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.

Definition of a Circle
Definition--Circle Concepts--Equation of a Circles Definition--Circle Concepts--Equation of a Circles Equation of a Circle

Topic

Circles

Definition

The equation of a circle in a plane is (x − h)2 + (y − k)2 = r2, where (h , k) is the center and r is the radius.

Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter Definition--Circle Concepts--Ratio of Circumference to Diameter Ratio of Circumference to Diameter

Topic

Circles

Definition

The ratio of the circumference to the diameter of a circle is the constant π.

Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter Definition--Circle Concepts--Ratio of Circumference to Diameter Ratio of Circumference to Diameter

Topic

Circles

Definition

The ratio of the circumference to the diameter of a circle is the constant π.

Definition of a Circle
Definition--Circle Concepts--Ratio of Circumference to Diameter Definition--Circle Concepts--Ratio of Circumference to Diameter Ratio of Circumference to Diameter

Topic

Circles

Definition

The ratio of the circumference to the diameter of a circle is the constant π.

Definition of a Circle
Definition--Circle Concepts--Circumference Definition--Circle Concepts--Circumference Circumference

Topic

Circles

Definition

The circumference of a circle is the distance around the circle, calculated as C = 2πr.

Description

The circumference is a fundamental concept in geometry, representing the perimeter of a circle. It is widely used in fields such as engineering, design, and manufacturing, where precise measurements of circular objects are required. The formula 

C = 2πr 

Definition of a Circle
Definition--Circle Concepts--Circumference Definition--Circle Concepts--Circumference Circumference

Topic

Circles

Definition

The circumference of a circle is the distance around the circle, calculated as C = 2πr.

Description

The circumference is a fundamental concept in geometry, representing the perimeter of a circle. It is widely used in fields such as engineering, design, and manufacturing, where precise measurements of circular objects are required. The formula 

C = 2πr 

Definition of a Circle
Definition--Circle Concepts--Circumference Definition--Circle Concepts--Circumference Circumference

Topic

Circles

Definition

The circumference of a circle is the distance around the circle, calculated as C = 2πr.

Description

The circumference is a fundamental concept in geometry, representing the perimeter of a circle. It is widely used in fields such as engineering, design, and manufacturing, where precise measurements of circular objects are required. The formula 

C = 2πr 

Definition of a Circle
Definition--Circle Concepts--Area of a Circle Definition--Circle Concepts--Area of a Circle Area of a Circle

Topic

Circles

Definition

The area of a circle is the space contained within its circumference, calculated as 

A = πr2

Description

The area of a circle is a fundamental concept in geometry, representing the space enclosed by the circle's boundary. This concept is widely applicable in fields such as physics, engineering, and design, where understanding the area is crucial for tasks like calculating material quantities or designing circular components. The formula 

A = πr2 

Definition of a Circle
Definition--Circle Concepts--Area of a Circle Definition--Circle Concepts--Area of a Circle Area of a Circle

Topic

Circles

Definition

The area of a circle is the space contained within its circumference, calculated as 

A = πr2

Description

The area of a circle is a fundamental concept in geometry, representing the space enclosed by the circle's boundary. This concept is widely applicable in fields such as physics, engineering, and design, where understanding the area is crucial for tasks like calculating material quantities or designing circular components. The formula 

A = πr2 

Definition of a Circle
Definition--Circle Concepts--Area of a Circle Definition--Circle Concepts--Area of a Circle Area of a Circle

Topic

Circles

Definition

The area of a circle is the space contained within its circumference, calculated as 

A = πr2

Description

The area of a circle is a fundamental concept in geometry, representing the space enclosed by the circle's boundary. This concept is widely applicable in fields such as physics, engineering, and design, where understanding the area is crucial for tasks like calculating material quantities or designing circular components. The formula 

A = πr2 

Definition of a Circle
Definition--Circle Concepts--Circular Models Definition--Circle Concepts--Circular Models Circular Models

Topic

Circles

Definition

Circular models are representations of circular phenomena using mathematical equations and diagrams.

Definition of a Circle
Definition--Circle Concepts--Circular Models Definition--Circle Concepts--Circular Models Circular Models

Topic

Circles

Definition

Circular models are representations of circular phenomena using mathematical equations and diagrams.

Definition of a Circle
Definition--Circle Concepts--Circular Models Definition--Circle Concepts--Circular Models Circular Models

Topic

Circles

Definition

Circular models are representations of circular phenomena using mathematical equations and diagrams.

Definition of a Circle
Definition--Circle Concepts--Circular Functions Definition--Circle Concepts--Circular Functions Circular Functions

Topic

Circles

Definition

Circular functions are trigonometric functions that relate angles to ratios of sides in a right triangle.

Definition of a Circle
Definition--Circle Concepts--Circular Functions Definition--Circle Concepts--Circular Functions Circular Functions

Topic

Circles

Definition

Circular functions are trigonometric functions that relate angles to ratios of sides in a right triangle.

Definition of a Circle
Definition--Circle Concepts--Circular Functions Definition--Circle Concepts--Circular Functions Circular Functions

Topic

Circles

Definition

Circular functions are trigonometric functions that relate angles to ratios of sides in a right triangle.

Definition of a Circle
Definition--Circle Concepts--Unit Circle Definition--Circle Concepts--Unit Circle Unit Circle

Topic

Circles

Definition

The unit circle is a circle with a radius of one, centered at the origin of the coordinate plane.

Definition of a Circle
Definition--Circle Concepts--Unit Circle Definition--Circle Concepts--Unit Circle Unit Circle

Topic

Circles

Definition

The unit circle is a circle with a radius of one, centered at the origin of the coordinate plane.

Definition of a Circle
Definition--Circle Concepts--Unit Circle Definition--Circle Concepts--Unit Circle Unit Circle

Topic

Circles

Definition

The unit circle is a circle with a radius of one, centered at the origin of the coordinate plane.

Definition of a Circle
Definition--Circle Concepts--Circular Composite Figures Definition--Circle Concepts--Circular Composite Figures Circular Composite Figures

Topic

Circles

Definition

Circular composite figures are shapes that include circles or parts of circles combined with other geometric figures.

Definition of a Circle
Definition--Circle Concepts--Circular Composite Figures Definition--Circle Concepts--Circular Composite Figures Circular Composite Figures

Topic

Circles

Definition

Circular composite figures are shapes that include circles or parts of circles combined with other geometric figures.

Definition of a Circle
Definition--Circle Concepts--Circular Composite Figures Definition--Circle Concepts--Circular Composite Figures Circular Composite Figures

Topic

Circles

Definition

Circular composite figures are shapes that include circles or parts of circles combined with other geometric figures.

Definition of a Circle