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.
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Closed Captioned Video: Ratios: What Are Ratios? | Closed Captioned Video: Ratios: What Are Ratios?TopicRatios DescriptionThis video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets. |
Ratios and Rates |
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Closed Captioned Video: Ratios: What Are Ratios? | Closed Captioned Video: Ratios: What Are Ratios?TopicRatios DescriptionThis video introduces the concept of ratios, which describe relationships between quantities. Key concepts include writing ratios in different forms (e.g., 2:3, 2/3, and 2 to 3) and simplifying ratios. It also covers part-to-part ratios and part-to-whole ratios using examples like sports balls and colored shapes. Applications include categorizing objects and exploring numerical relationships in sets. |
Ratios and Rates |
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Definition--Complex Fraction | Complex FractionTopicFractions DefinitionA complex fraction is a fraction where the numerator, the denominator, or both, contain a fraction themselves. DescriptionComplex 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 |
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Definition--Complex Fraction | Complex FractionTopicFractions DefinitionA complex fraction is a fraction where the numerator, the denominator, or both, contain a fraction themselves. DescriptionComplex 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 |
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Definition--Geometry Basics--Antiprism | AntiprismTopicGeometry Basics DefinitionA polyhedron with two parallel faces and other faces that are triangular. DescriptionAn 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 |
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Definition--Geometry Basics--Prism | PrismTopicGeometry Basics DefinitionA prism is a solid shape with two parallel, congruent bases connected by rectangular or parallelogram faces. DescriptionPrisms 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 |
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Definition--Statistics and Probability Concepts--Statistical Distribution | Statistical DistributionTopicStatistics and Probability DefinitionA statistical distribution describes how values of a variable are distributed. DescriptionStatistical 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 |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Surface Area |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of 3D Geometry |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of 3D Geometry |
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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 ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of 3D Geometry |
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Google Earth Voyager Story: Architectural Prisms, Part 1 | Google Earth Voyager Story: Architectural Prisms, Part 1TopicGeometric Models |
Triangular Prisms |
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Google Earth Voyager Story: Architectural Prisms, Part 2 | Google Earth Voyager Story: Architectural Prisms, Part 2TopicGeometric Models |
Rectangular Prisms |
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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 EarthThese 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 |
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Google Earth Voyager Story: Polygon Architecture, Part 1 | Google Earth Voyager Story: Polygon Architecture, Part 1TopicGeometric Models |
Applications of Polygons |
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Google Earth Voyager Story: Polygon Architecture, Part 2 | Google Earth Voyager Story: Polygon Architecture, Part 2TopicGeometric Models |
Applications of Polygons |
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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 |
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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 |
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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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Definition of a Polygon |
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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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Area and Perimeter of Quadrilaterals |
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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 ResourcesTo see the complete library of Instructional Resources , click on this link. |
Surface Area |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Point-Slope Form |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Point-Slope Form |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Point-Slope Form |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Point-Slope Form |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Point-Slope Form |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
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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 ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.
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Proportions |
