Illustrative Math Alignment: Grade 7 Unit 3

Measuring Circles

Lesson 3: Exploring Circumference

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
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
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 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 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 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 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 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 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 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 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 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
INSTRUCTIONAL RESOURCE: Math Examples 1	INSTRUCTIONAL RESOURCE: Math Examples--Circular Area and Circumference This set of tutorials provides 23 examples of solving for the area and circumferences of circles and sections of circles. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Area and Circumference
INSTRUCTIONAL RESOURCE: Pumpkin PI	In this Slide Show, do a hands-on geometry activity to measure π. Note: The download is a PPT file.	Ratios and Rates
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
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	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	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	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	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	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--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--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	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	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	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
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, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 2	VIDEO: Geometry Applications: Circles, Segment 2: Circles and Arcs. The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Geometry Applications: Circles, 3	VIDEO: Geometry Applications: Circles, Segment 3: Chords and Inscribed Angles The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.	Applications of Circles and Definition of a Circle
VIDEO: Algebra Nspirations: Variables and Equations, 2	VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference. This video is Segment 2 of a 2 segment series related to Variables and Equations.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, 2	VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference. This video is Segment 2 of a 2 segment series related to Variables and Equations.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
VIDEO: Algebra Nspirations: Variables and Equations, 2	VIDEO: Algebra Nspirations: Variables and Equations, Segment 2 In this Math Lab a hands-on activity has students comparing the diameter of a circle and its circumference. This video is Segment 2 of a 2 segment series related to Variables and Equations.	Applications of Equations and Inequalities, Variables and Unknowns and Variable Expressions
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 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 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