Illustrative Math Alignment: Grade 7 Unit 1

Scale Drawings

Lesson 10: Changing Scales in Scale Drawings

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Nodes
Algebra Applications: Dinosaur Footprints	Algebra Applications: Dinosaur Footprints Paleontologists rely on fossils to learn about dinosaurs. They also rely on certain algebraic concepts to help them estimate the sizes of dinosaurs based on the measurements of dinosaur footprints. In this activity, walk students through the solution of several proportions to estimate the sizes of different dinosaurs. 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.	Proportions
Closed Captioned Video: Ratios and Proportions: Scale Drawings	Closed Captioned Video: Ratios and Proportions: Scale Drawings Topic Ratios Description The video explains how proportions are used to create scale drawings, ensuring geometric figures remain proportional. Examples include finding dimensions in similar triangles, scaling architectural models, and solving geometric problems. The concept of proportional relationships is key to accurate scaling.	Ratios and Rates
Closed Captioned Video: Ratios and Proportions: What Are Proportions?	Closed Captioned Video: Ratios and Proportions: What Are Proportions? Topic Ratios Description Proportions are explained as equivalent ratios used to solve real-world problems. Examples include matching juice mixtures and adjusting recipes. The video uses ratio tables and number lines to scale ratios proportionally in practical applications.	Ratios and Rates
Definition--Ratios, Proportions, and Percents Concepts--Scale Drawing	Scale Drawing Topic Ratios, Proportions, and Percents Definition A scale drawing is a representation of an object or structure with dimensions proportional to the actual object or structure. Description Scale drawings are essential in fields like architecture, engineering, and cartography, where accurate representations of large objects or areas are needed. For example, an architect might create a scale drawing of a building where 1 inch on the drawing represents 10 feet in reality. This allows for detailed planning and visualization without needing a full-sized model.	Proportions
Definition--Ratios, Proportions, and Percents Concepts--The Constant of Proportionality	The Constant of Proportionality Topic Ratios, Proportions, and Percents Definition The constant of proportionality is the constant value that relates two proportional quantities. Description The constant of proportionality is a fundamental concept in mathematics, particularly in linear relationships and direct variation. For example, in the equation y = kx, k is the constant of proportionality that relates y and x. This concept is crucial in fields like physics, where it is used to describe relationships such as speed (distance/time).	Proportions
Definition--Variables, Unknowns, and Constants--Constant of Proportionality	Definition--Variables, Unknowns, and Constants--Constant of Proportionality This is part of a collection of definitions related to variables, unknowns, and constants. This includes general definitions for variables, unknowns, and constants, as well as related terms that describe their properties.	Variables and Unknowns
Desmos Activity: Exploring Hooke's Law	Explore Hooke's Law using this Desmos graphing calculator activity. In this activity explore linear functions of the form y = mx. There is a companion worksheet for this activity, which subscribers can download. The worksheet is a PDF file. Related Resources To see additional resources on this topic click on the Related Resources tab above. Desmos Collection To see the complete collection of Desmos Resources click on this link.	Graphs of Linear Functions and Proportions
Instructional Resource--Strategy Pack--The Number That Is a Given Percent of Another Number	Instructional Resource \| Strategy Pack \| The Number Whose Percent Is Another Number Learn different strategies for finding the number that is a given percentage of another number. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems. —PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link. Note: The download is a PPT file.	Percents
Instructional Resource--Strategy Pack--The Percent One Number Is of Another	Instructional Resource \| Strategy Pack \| The Percent One Number Is of Another Learn different strategies for finding the percent one number is of another. The Strategy Packs provide alternate ways of solving the same problem, giving your students different approaches to the same problem. The goal of the Strategy Packs is to encourage your students to think strategically when solving math problems. —PRESS PREVIEW TO LAUNCH THE PRESENTATION— To see the complete collection of Instructional Resources, click on this link. Note: The download is a PPT file.	Percents
INSTRUCTIONAL RESOURCE: Activity Guide: Building a Scale Model of Himeji Castle	This hands-on activity is a companion to the video segment from the Geometry Applications: Angles and Planes video. In particular, it supports the segment on the architecture of Himeji Castle. Note: The download is a PDF file. Library of Instructional Resources To see the complete library of Instructional Resources , click on this link.	Applications of Angles and Planes, Applications of Transformations and Proportions
Instructional Resource: Applications of Linear Functions: Hooke's Law	In this Slide Show, apply concepts of linear functions to the context of Hooke's law. Note: The download is a PPT file. Related Resources To see the complete collection of Tutorials on this topic, click on this link: https://bit.ly/3g0P3cN	Applications of Linear Functions and 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 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 02, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 02, 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 02, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 02, 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 02, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 02, 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 03, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 03, 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 03, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 03, 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 03, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 03, 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 04, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 04, 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 04, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 04, 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 04, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 04, 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 05, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 05, 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 05, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 05, 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 05, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 05, 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 06, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 06, 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 06, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 06, 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 06, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 06, 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 07, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 07, 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 07, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 07, 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 07, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 07, 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 08, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 08, 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 08, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 08, 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 08, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 08, 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 09, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 09, 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 09, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 09, 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 09, Level 3	Interactive Quiz: Solving Proportions for a, Quiz 09, 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 10, Level 1	Interactive Quiz: Solving Proportions for a, Quiz 10, 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 10, Level 2	Interactive Quiz: Solving Proportions for a, Quiz 10, 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

Illustrative Math Alignment: Grade 7 Unit 1

Scale Drawings

Lesson 10: Changing Scales in Scale Drawings

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