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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 6: Fermi Problems

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers Closed Captioned Video: Rational Numbers: Variable Expressions with Rational Numbers

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers? Closed Captioned Video: Rational Numbers: What Are Rational Numbers?

This is part of a collection of video tutorials on the topic of Rational Numbers. This includes defining rational numbers, rational number operations, comparing and ordering rational numbers, and applications of rational numbers.

—PRESS PREVIEW TO SEE THE VIDEO TUTORIAL— To see the complete collection of these videos on fractions, click on this link.

The following section includes background information on rational numbers. Refer to this section as you view the videos, or as review material afterward.

Rational Expressions
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates Closed Captioned Video: Ratios: Unit Rates

What Are Ratios?

A ratio is the relationship between two or more quantities among a group of items.

Ratios and Rates
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--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--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--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--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--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
Definition--Circle Concepts--Circle Definition--Circle Concepts--Circle Circle

Topic

Circles

Definition

A circle is a set of all points in a plane equidistant from a given point, the center.

Description

The circle is one of the most fundamental shapes in geometry, characterized by its symmetry and uniformity. It is used extensively in various fields, including engineering, design, and astronomy, where its properties are applied to create wheels, gears, and orbits. Mathematically, a circle is defined by its center and radius, and its equation in a plane is 

(x − h)2 + (y − k)2 = r2 

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

Topic

Circles

Definition

A circle is a set of all points in a plane equidistant from a given point, the center.

Description

The circle is one of the most fundamental shapes in geometry, characterized by its symmetry and uniformity. It is used extensively in various fields, including engineering, design, and astronomy, where its properties are applied to create wheels, gears, and orbits. Mathematically, a circle is defined by its center and radius, and its equation in a plane is 

(x − h)2 + (y − k)2 = r2 

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

Topic

Circles

Definition

A circle is a set of all points in a plane equidistant from a given point, the center.

Description

The circle is one of the most fundamental shapes in geometry, characterized by its symmetry and uniformity. It is used extensively in various fields, including engineering, design, and astronomy, where its properties are applied to create wheels, gears, and orbits. Mathematically, a circle is defined by its center and radius, and its equation in a plane is 

(x − h)2 + (y − k)2 = r2 

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

Topic

Circles

Definition

A circle inscribed in a square touches all four sides of the square at exactly one point each.

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

Topic

Circles

Definition

A circle inscribed in a square touches all four sides of the square at exactly one point each.

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

Topic

Circles

Definition

A circle inscribed in a square touches all four sides of the square at exactly one point each.

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

Topic

Circles

Definition

An inscribed circle in a triangle is tangent to each of the triangle's sides.

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

Topic

Circles

Definition

An inscribed circle in a triangle is tangent to each of the triangle's sides.

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

Topic

Circles

Definition

An inscribed circle in a triangle is tangent to each of the triangle's sides.

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 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--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
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 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--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--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