Illustrative Math Alignment: Grade 7 Unit 9

Putting it All Together

Lesson 5: How Crowded Is this Neighborhood?

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
Closed Captioned Video: Ratios: What Are Ratios?	Closed Captioned Video: Ratios: What Are Ratios? 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: What Are Ratios?	Closed Captioned Video: Ratios: What Are Ratios? What Are Ratios? A ratio is the relationship between two or more quantities among a group of items.	Ratios and Rates
Definition--Complex Fraction	Complex Fraction Topic Fractions Definition A complex fraction is a fraction where the numerator, the denominator, or both, contain a fraction themselves. Description Complex fractions are an important concept in the study of fractions and algebra. They appear in various mathematical contexts, particularly when dealing with rational expressions and advanced algebraic operations. Understanding complex fractions is essential for simplifying expressions and solving equations that involve multiple layers of fractions.	Fractions and Mixed Numbers
Definition--Complex Fraction	Complex Fraction Topic Fractions Definition A complex fraction is a fraction where the numerator, the denominator, or both, contain a fraction themselves. Description Complex fractions are an important concept in the study of fractions and algebra. They appear in various mathematical contexts, particularly when dealing with rational expressions and advanced algebraic operations. Understanding complex fractions is essential for simplifying expressions and solving equations that involve multiple layers of fractions.	Fractions and Mixed Numbers
Definition--Geometry Basics--Antiprism	Antiprism Topic Geometry Basics Definition A polyhedron with two parallel faces and other faces that are triangular. Description An antiprism is a type of polyhedron that has two parallel faces connected by an alternating band of triangles. This geometric shape is significant in advanced geometry and has applications in fields such as crystallography and molecular chemistry. Understanding antiprisms helps in comprehending the properties of polyhedra and their role in three-dimensional space. For example, the volume of an antiprism can be calculated using specific geometric formulas, making it a useful concept in various scientific and mathematical applications.	3-Dimensional Figures
Definition--Geometry Basics--Prism	Prism Topic Geometry Basics Definition A prism is a solid shape with two parallel, congruent bases connected by rectangular or parallelogram faces. Description Prisms are significant in the study of three-dimensional shapes. They have a uniform cross-section, allowing for easy calculations of volume and surface area. The volume can be calculated with the formula V = B⋅h where B is the area of the base and h is the height. Prisms are commonly encountered in real-world applications such as packaging and structural designs, making them an essential concept in geometry.	3-Dimensional Figures
Definition--Statistics and Probability Concepts--Statistical Distribution	Statistical Distribution Topic Statistics and Probability Definition A statistical distribution describes how values of a variable are distributed. Description Statistical distributions are fundamental in understanding data behavior and variability. They are used in various fields, such as finance, to model asset returns, or in biology, to understand population dynamics. Common distributions include normal, binomial, and Poisson distributions, each with its own properties and applications.	Data Gathering
Formulas--Surface Area of a Cube	Formulas--Surface Area of a Cube The formula for the Surface Area of a Cube. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Formulas--Surface Area of a Cube	Formulas--Surface Area of a Cube The formula for the Surface Area of a Cube. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Formulas--Surface Area of a Cube	Formulas--Surface Area of a Cube The formula for the Surface Area of a Cube. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Formulas--Surface Area of a Rectangular Prism	Formulas--Surface Area of a Rectangular Prism The formula for the Surface Area of a Rectangular Prism. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Formulas--Surface Area of a Rectangular Prism	Formulas--Surface Area of a Rectangular Prism The formula for the Surface Area of a Rectangular Prism. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Formulas--Surface Area of a Rectangular Prism	Formulas--Surface Area of a Rectangular Prism The formula for the Surface Area of a Rectangular Prism. This is part of a collection of math formulas. To see the complete collection of formulas, click on this link. Note: The download is a JPG file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Surface Area
Geometry Applications Teachers Guide: 3D Geometry	Geometry Applications Teachers Guide: 3D Geometry This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Applications of 3D Geometry
Geometry Applications Teachers Guide: 3D Geometry	Geometry Applications Teachers Guide: 3D Geometry This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Applications of 3D Geometry
Geometry Applications Teachers Guide: 3D Geometry	Geometry Applications Teachers Guide: 3D Geometry This is the Teacher's Guide that accompanies Geometry Applications: 3D Geometry. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file. Related Resources To see resources related to this topic click on the Related Resources tab above.	Applications of 3D Geometry
Google Earth Voyager Story: Architectural Prisms, Part 1	Google Earth Voyager Story: Architectural Prisms, Part 1 Topic Geometric Models	Triangular Prisms
Google Earth Voyager Story: Architectural Prisms, Part 2	Google Earth Voyager Story: Architectural Prisms, Part 2 Topic Geometric Models	Rectangular Prisms
Google Earth Voyager Story: Architectural Prisms, Part 3	Google Earth Voyager Story: Architectural Prisms, Part 3 In this Google Earth Voyager story visit architectural landmarks in New York City to learn about the geometry of prisms. In this lesson, visit the Freedom Tower in Lower Manhattan and learn about antiprisms. Then build a scale model of the Freedom Tower. This is part of a collection of Google Earth Voyager Stories that use Google's mapping technology to explore relevant math stories. To see the complete collection of the Google Earth Voyager Stories, click on this link. Note: The download is the teacher's guide. Viewing Media4Math Stories on Google Earth These Google Earth Voyager Stories are also available on Google Earth. Best viewed in Chrome, click on the links below to view these dynamic stories using Google's technology:	3-Dimensional Figures
Google Earth Voyager Story: Polygon Architecture, Part 1	Google Earth Voyager Story: Polygon Architecture, Part 1 Topic Geometric Models	Applications of Polygons
Google Earth Voyager Story: Polygon Architecture, Part 2	Google Earth Voyager Story: Polygon Architecture, Part 2 Topic Geometric Models	Applications of Polygons
INSTRUCTIONAL RESOURCE: Algebra Application: Interior Angles of a Polygon	In this Slide Show, apply concepts of linear functions to the context of the interior angles of a polygon. Note: The download is a PPT file.	Definition of a Polygon
INSTRUCTIONAL RESOURCE: Algebra Application: Interior Angles of a Polygon	In this Slide Show, apply concepts of linear functions to the context of the interior angles of a polygon. Note: The download is a PPT file.	Definition of a Polygon
INSTRUCTIONAL RESOURCE: Math Examples 37	INSTRUCTIONAL RESOURCE: Math Examples--Polygon Classification This set of tutorials provides 36 examples of how to classify polygons based on side and angle characteristics. 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.	Definition of a Polygon
INSTRUCTIONAL RESOURCE: Math Examples 42	INSTRUCTIONAL RESOURCE: Math Examples--Quadrilateral Area and Perimeter This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the area and perimeter of different quadrilaterals. 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 Perimeter of Quadrilaterals
INSTRUCTIONAL RESOURCE: Math Examples 55	INSTRUCTIONAL RESOURCE: Math Examples--Surface Area This set of tutorials provides an overview of the 24 worked-out examples that show how to calculate the surface area of different three-dimensional figures. 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.	Surface Area
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
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
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
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
Instructional Resource: TI-Nspire Activity: Constructing and Measuring the Area of a Polygon	In this TI-Nspire Activity, use the Geometry Tools to construct a regular polygon and measure its area using the apothem-perimeter formula. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources. To see the complete collection of TI graphing calculator resources, click on this Link.	Geometric Constructions with Polygons
Instructional Resource: TI-Nspire Activity: Constructing and Measuring the Area of a Polygon	In this TI-Nspire Activity, use the Geometry Tools to construct a regular polygon and measure its area using the apothem-perimeter formula. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources. To see the complete collection of TI graphing calculator resources, click on this Link.	Geometric Constructions with Polygons
Instructional Resource: TI-Nspire Activity: Constructing and Measuring the Area of a Polygon	In this TI-Nspire Activity, use the Geometry Tools to construct a regular polygon and measure its area using the apothem-perimeter formula. Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources. To see the complete collection of TI graphing calculator resources, click on this Link.	Geometric Constructions with Polygons
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. 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.	Point-Slope Form
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. 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.	Point-Slope Form
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. 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.	Point-Slope Form
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. 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.	Point-Slope Form
Interactive Math Game--DragNDrop--The Point-Slope Form	Interactive Math Game--DragNDrop Math--The Point-Slope Form In this drag-and-drop game, match the linear equation in point-slope form with its slope-intercept counterpart. This game generates thousands of different equation combinations, offering an ideal opportunity for skill review in a game format. 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.	Point-Slope Form
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 1 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 2 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions
Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 01, Level 3 This is part of a collection of math quizzes on the topic of solving proportions. Some quizzes are interactive and some are in PDF format. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key). Related Resources To see additional resources on this topic, click on the Related Resources tab. Quiz Library To see the complete collection of Quizzes, click on this link.	Proportions