Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 7 Unit 1

Scale Drawings

Lesson 5: The Size of the Scale Factor

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9 Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9 Math Clip Art--Applications of Proportional Reasoning and Linear Graphs 9

This is a collection of clip art images that show three applications of proportional reasoning and lines of best fit.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 1 Math Clip Art--Applications of Proportions--Exchange Rates 1 Math Clip Art--Applications of Proportions--Exchange Rates 1

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 10 Math Clip Art--Applications of Proportions--Exchange Rates 10 Math Clip Art--Applications of Proportions--Exchange Rates 10

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 11 Math Clip Art--Applications of Proportions--Exchange Rates 11 Math Clip Art--Applications of Proportions--Exchange Rates 11

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 2 Math Clip Art--Applications of Proportions--Exchange Rates 2 Math Clip Art--Applications of Proportions--Exchange Rates 2

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 3 Math Clip Art--Applications of Proportions--Exchange Rates 3 Math Clip Art--Applications of Proportions--Exchange Rates 3

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 4 Math Clip Art--Applications of Proportions--Exchange Rates 4 Math Clip Art--Applications of Proportions--Exchange Rates 4

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 5 Math Clip Art--Applications of Proportions--Exchange Rates 5 Math Clip Art--Applications of Proportions--Exchange Rates 5

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 6 Math Clip Art--Applications of Proportions--Exchange Rates 6 Math Clip Art--Applications of Proportions--Exchange Rates 6

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 7 Math Clip Art--Applications of Proportions--Exchange Rates 7 Math Clip Art--Applications of Proportions--Exchange Rates 7

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 8 Math Clip Art--Applications of Proportions--Exchange Rates 8 Math Clip Art--Applications of Proportions--Exchange Rates 8

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Proportions--Exchange Rates 9 Math Clip Art--Applications of Proportions--Exchange Rates 9 Math Clip Art--Applications of Proportions--Exchange Rates 9

This is a collection of clip art images that show an application of proportional reasoning in the context of currency exchange rates.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 1 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 1 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 1

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 2 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 2 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 2

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 3 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 3 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 3

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 4 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 4 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 4

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 5 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 5 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 5

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 6 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 6 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 6

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 7 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 7 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 7

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 8 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 8 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 8

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 9 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 9 Math Clip Art--Applications of Ratios and Proportions--Carbon Dating 9

This is a collection of clip art images that show an application of proportional reasoning in the context of carbon dating.

Ratios and Rates and Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 1 Math Clip Art--Geometry Concepts--Scale Drawing--01 Math Clip Art--Scale Drawing--01

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a square that has been scaled up by a factor of 1:2. This means that each side of the square in the drawing is twice the length of the corresponding side in the actual object. Scale drawings are essential for accurately representing objects in a manageable size while maintaining proportionality.

Teacher's Script: "Observe this scale drawing of a square. How does the 1:2 scale factor help us understand the relationship between the drawing and the actual square? What are some real-world applications of scaling up objects, such as in architecture or design?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 2 Math Clip Art--Geometry Concepts--Scale Drawing--02 Math Clip Art--Scale Drawing--02

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a square that has been scaled up by a factor of 1:3. Each side of the square in the drawing is three times the length of the corresponding side in the actual object. This scaling helps in visualizing larger versions of objects while maintaining accurate proportions.

Teacher's Script: "Look at this scale drawing of a square. How does the 1:3 scale factor affect the dimensions of the drawing compared to the actual square? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 3 Math Clip Art--Geometry Concepts--Scale Drawing--03 Math Clip Art--Scale Drawing--03

Topic

Geometry Concepts

Description

This image shows a scale drawing of a rectangle that has been scaled up by a factor of 1:4. Each side of the rectangle in the drawing is four times the length of the corresponding side in the actual object. This scaling is useful for enlarging objects while maintaining their proportional dimensions.

Teacher's Script: "Examine this scale drawing of a rectangle. How does the 1:4 scale factor influence the size of the drawing compared to the actual rectangle? What are some real-world applications of scaling up objects, such as in engineering or construction?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 4 Math Clip Art--Geometry Concepts--Scale Drawing--04 Math Clip Art--Scale Drawing--04

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a rectangle that has been scaled up by a factor of 1:5. Each side of the rectangle in the drawing is five times the length of the corresponding side in the actual object. Scale drawings like this are crucial for visualizing larger versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a rectangle. How does the 1:5 scale factor affect the dimensions of the drawing compared to the actual rectangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 5 Math Clip Art--Geometry Concepts--Scale Drawing--05 Math Clip Art--Scale Drawing--05

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a right triangle that has been scaled down by a factor of 5:1. This means each side of the triangle in the drawing is one-fifth the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects.

Teacher's Script: "Examine this scale drawing of a right triangle. How does the 5:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 6 Math Clip Art--Geometry Concepts--Scale Drawing--06 Math Clip Art--Scale Drawing--06

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 4:1. Each side of the triangle in the drawing is one-fourth the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a right triangle. How does the 4:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 7 Math Clip Art--Geometry Concepts--Scale Drawing--07 Math Clip Art--Scale Drawing--07

Topic

Geometry Concepts

Description

This image depicts a scale drawing of a right triangle that has been scaled down by a factor of 3:1. Each side of the triangle in the drawing is one-third the length of the corresponding side in the actual object. Scaling down is useful for creating manageable representations of larger objects.

Teacher's Script: "Examine this scale drawing of a right triangle. How does the 3:1 scale factor help us understand the relationship between the drawing and the actual triangle? What are some real-world applications of scaling down objects, such as in model making or map creation?"

Proportions
Math Clip Art--Geometry Concepts--Scale Drawing, Image 8 Math Clip Art--Geometry Concepts--Scale Drawing--08 Math Clip Art--Scale Drawing--08

Topic

Geometry Concepts

Description

This image illustrates a scale drawing of a right triangle that has been scaled down by a factor of 2:1. Each side of the triangle in the drawing is one-half the length of the corresponding side in the actual object. This scaling helps in visualizing smaller versions of objects while maintaining accurate proportions.

Teacher's Script: "Observe this scale drawing of a right triangle. How does the 2:1 scale factor affect the dimensions of the drawing compared to the actual triangle? What are some mathematical concepts you can explore using scale drawings, such as ratios or proportions?"

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 1 Math Clip Art--Ratios, Proportions, Percents--Proportions 01 Math Clip Art--Ratios, Proportions, Percents--Proportions 01

Topic

Ratios, Proportions, and Percents

Description

This image showcases the concept of proportions using a dynamic visual of a runner in action framed within a golden ratio spiral. The proportion is represented algebraically as a/b = c/d, linking visual and mathematical representations. It introduces proportions conceptually and visually, setting the foundation for the subsequent examples.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 2 Math Clip Art--Ratios, Proportions, Percents--Proportions 02 Math Clip Art--Ratios, Proportions, Percents--Proportions 02

Topic

Ratios, Proportions, and Percents

Description

This image illustrates proportions using two equivalent ratios, represented by measuring cups and cupcakes. It simplifies proportions to relatable everyday examples. It connects proportions to practical examples, emphasizing the real-world relevance.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 3 Math Clip Art--Ratios, Proportions, Percents--Proportions 03 Math Clip Art--Ratios, Proportions, Percents--Proportions 03

Topic

Ratios, Proportions, and Percents

Description

This image uses coins to demonstrate proportions. The image compares groups of quarters and nickels to highlight equivalent ratios (3:1 and 6:2). It solidifies the concept of equivalent ratios through another real-life example, reinforcing the idea.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 4 Math Clip Art--Ratios, Proportions, Percents--Proportions 04 Math Clip Art--Ratios, Proportions, Percents--Proportions 04

Topic

Ratios, Proportions, and Percents

Description

This image demonstrates proportions through a scale model example, comparing the height and width ratios of the Eiffel Tower in two scales. It highlights the application of proportions in scaling and models, bridging abstract and practical understanding.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 5 Math Clip Art--Ratios, Proportions, Percents--Proportions 05 Math Clip Art--Ratios, Proportions, Percents--Proportions 05

Topic

Ratios, Proportions, and Percents

Description

This image shows proportionality between dimes and pennies using equivalent ratios (1:4 and 3:12). Mathematical steps verify proportionality. It introduces proportional reasoning and calculation steps to ensure clarity in identifying proportional relationships.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 6 Math Clip Art--Ratios, Proportions, Percents--Proportions 06 Math Clip Art--Ratios, Proportions, Percents--Proportions 06

Topic

Ratios, Proportions, and Percents

Description

This image presents proportional triangles, with side lengths maintaining equivalent ratios (2:3:4 and 6:9:12). It demonstrates geometric applications of proportions, extending the concept to shapes and measurements.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 7 Math Clip Art--Ratios, Proportions, Percents--Proportions 07 Math Clip Art--Ratios, Proportions, Percents--Proportions 07

Topic

Ratios, Proportions, and Percents

Description

This image contrasts proportionality with non-proportional groups of coins (dimes and nickels). Ratios differ, clarifying when proportions do not exist. It explains non-proportionality to deepen understanding of proportional relationships.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 8 Math Clip Art--Ratios, Proportions, Percents--Proportions 08 Math Clip Art--Ratios, Proportions, Percents--Proportions 08

Topic

Ratios, Proportions, and Percents

Description

This image poses a question about proportional triangles, asking for the missing value (x) to maintain proportionality. It introduces problem-solving involving proportions, encouraging engagement and application.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 9 Math Clip Art--Ratios, Proportions, Percents--Proportions 09 Math Clip Art--Ratios, Proportions, Percents--Proportions 09

Topic

Ratios, Proportions, and Percents

Description

This image solves the posed proportion problem by finding the value of x using equivalent ratios (x/6 = 7/3). It breaks down the process of solving proportions, reinforcing mathematical reasoning.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Proportions, Image 10 Math Clip Art--Ratios, Proportions, Percents--Proportions 10 Math Clip Art--Ratios, Proportions, Percents--Proportions 10

Topic

Ratios, Proportions, and Percents

Description

This image demonstrates proportionality in coins by calculating the number of nickels required for proportional groups (2/5 = 6/x). It closes the sequence with a real-world problem, consolidating the topic and providing a practical application.

Proportions are a foundational concept in mathematics, connecting ratios to real-world applications. Examples like those in this collection help students visualize and reason about proportional relationships in meaningful contexts, solidifying their understanding.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 1 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 01

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 2 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 02

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 3 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 03

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 4 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 04

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 5 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 05

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models, Image 6 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06 Math Clip Art--Ratios, Proportions, Percents--Scale Drawings and Scale Models 06

This is part of a collection of math clip art images that explain different aspects of ratios, proportions, and percents.

Proportions
Math Example--Ratios and Rates--Example 1 Math Example--Ratios and Rates--Example 1 Math Example--Ratios and Rates--Example 1

Topic

Ratios and Rates

Description

This math example focuses on understanding ratios using colored socks. The image displays a collection of red and blue socks, and students are asked to determine the ratio of red socks to blue socks. The solution demonstrates that there are 4 pairs of red socks and 4 pairs of blue socks, resulting in a ratio of 4 : 4, which simplifies to 1 : 1.

Ratios and Rates
Math Example--Ratios and Rates--Example 10 Math Example--Ratios and Rates--Example 10 Math Example--Ratios and Rates--Example 10

Topic

Ratios and Rates

Description

This example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 3 : 1.

Ratios and Rates
Math Example--Ratios and Rates--Example 11 Math Example--Ratios and Rates--Example 11 Math Example--Ratios and Rates--Example 11

Topic

Ratios and Rates

Description

This example focuses on finding equivalent ratios using a collection of socks in various colors. The image shows socks arranged in rows, with black, green, white, and other colors present. Students are asked to find a ratio among three colors that is equivalent to 1 : 4 : 1.

Ratios and Rates
Math Example--Ratios and Rates--Example 12 Math Example--Ratios and Rates--Example 12 Math Example--Ratios and Rates--Example 12

Topic

Ratios and Rates

Description

This example explores the concept of similar triangles using ratios. The image shows a right triangle with sides labeled as 9, 12, and 15 units. Students are asked to determine if this triangle is similar to a standard 3-4-5 Pythagorean triplet triangle.

Understanding similar triangles is an important application of ratios in geometry. This example demonstrates how ratios can be used to compare the sides of triangles and determine similarity. By scaling the sides of a known triangle (3-4-5) and comparing them to the given triangle, students can see how ratios maintain proportionality in similar shapes.

Ratios and Rates
Math Example--Ratios and Rates--Example 13 Math Example--Ratios and Rates--Example 13 Math Example--Ratios and Rates--Example 13

Topic

Ratios and Rates

Description

This example focuses on verifying the similarity of triangles using ratios. The image shows a right triangle with sides labeled 25, 60, and 65 units. Students are guided through a step-by-step process to determine if this triangle is similar to a 5-12-13 right triangle.

Ratios and Rates