Illustrative Math Alignment: Grade 7 Unit 9

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

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

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

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

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

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

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

This is a collection of clip art images that show different ratios based on zoo animal populations.

Topic

Geometry Concepts

Description

This image illustrates two hexagons: one regular and one irregular. A hexagon is a six-sided polygon. In a regular hexagon, all sides and angles are equal, with each interior angle measuring 120 degrees. This symmetry gives it a balanced and uniform appearance.

An irregular hexagon, by contrast, has sides and angles that are not all equal. This lack of uniformity means that the hexagon can take on a variety of shapes, depending on the specific lengths and angles of its sides.

Topic

Geometry Concepts

Description

This image shows two octagons: one regular and one irregular. An octagon is an eight-sided polygon. In a regular octagon, all sides and angles are equal, with each interior angle measuring 135 degrees. This regularity gives it a symmetrical and balanced appearance.

An irregular octagon, on the other hand, has sides and angles that are not all equal. This asymmetry means that the octagon can have a variety of shapes, depending on the specific lengths and angles of its sides.

Topic

Geometry Concepts

Description

This image depicts two pentagons: one regular and one irregular. A pentagon is a five-sided polygon. In a regular pentagon, all sides and angles are equal, with each interior angle measuring 108 degrees. This regularity gives it a symmetrical and balanced appearance.

An irregular pentagon, however, has sides and angles that are not all equal. This asymmetry allows the pentagon to take on various shapes, depending on the specific lengths and angles of its sides.

Topic

Geometry Concepts

Description

This image illustrates two quadrilaterals: one regular and one irregular. A quadrilateral is a four-sided polygon. In a regular quadrilateral, such as a square, all sides and angles are equal, with each interior angle measuring 90 degrees. This regularity gives it a symmetrical and balanced appearance.

An irregular quadrilateral, however, has sides and angles that are not all equal. This asymmetry allows the quadrilateral to take on various shapes, depending on the specific lengths and angles of its sides.

Topic

Geometry Concepts

Description

This image shows two triangles: one regular and one irregular. A triangle is a three-sided polygon. In a regular triangle, also known as an equilateral triangle, all sides and angles are equal, with each interior angle measuring 60 degrees. This regularity gives it a symmetrical and balanced appearance.

An irregular triangle, however, has sides and angles that are not all equal. This asymmetry allows the triangle to take on various shapes, depending on the specific lengths and angles of its sides.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically focusing on the net for a cube. The image displays a flattened representation of a cube, consisting of six connected squares arranged in a cross-like pattern. This visual aid is crucial for students to understand the relationship between 2D shapes and their 3D counterparts.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically focusing on the net for a cube. The image displays a flattened representation of a cube, consisting of six connected squares arranged in a cross-like pattern. This visual aid is crucial for students to understand the relationship between 2D shapes and their 3D counterparts.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically focusing on the net for a cube. The image displays a flattened representation of a cube, consisting of six connected squares arranged in a cross-like pattern. This visual aid is crucial for students to understand the relationship between 2D shapes and their 3D counterparts.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a pyramid. The image shows a flattened representation of a square-based pyramid, consisting of a square base surrounded by four triangular faces. This visual aid is essential for students to comprehend how a 3D pyramid can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a pyramid. The image shows a flattened representation of a square-based pyramid, consisting of a square base surrounded by four triangular faces. This visual aid is essential for students to comprehend how a 3D pyramid can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a pyramid. The image shows a flattened representation of a square-based pyramid, consisting of a square base surrounded by four triangular faces. This visual aid is essential for students to comprehend how a 3D pyramid can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically illustrating the net for a rectangular prism. The image displays a flattened representation of a rectangular prism, consisting of six connected rectangles arranged in a cross-like pattern. This visual aid is crucial for students to understand how a 3D rectangular prism can be unfolded into a 2D shape.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically illustrating the net for a rectangular prism. The image displays a flattened representation of a rectangular prism, consisting of six connected rectangles arranged in a cross-like pattern. This visual aid is crucial for students to understand how a 3D rectangular prism can be unfolded into a 2D shape.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically illustrating the net for a rectangular prism. The image displays a flattened representation of a rectangular prism, consisting of six connected rectangles arranged in a cross-like pattern. This visual aid is crucial for students to understand how a 3D rectangular prism can be unfolded into a 2D shape.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a triangular prism. The image shows a flattened representation of a triangular prism, consisting of two triangular bases and three rectangular faces. This visual aid is essential for students to comprehend how a 3D triangular prism can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a triangular prism. The image shows a flattened representation of a triangular prism, consisting of two triangular bases and three rectangular faces. This visual aid is essential for students to comprehend how a 3D triangular prism can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series illustrating 2D nets of 3D figures, with this particular image focusing on the net for a triangular prism. The image shows a flattened representation of a triangular prism, consisting of two triangular bases and three rectangular faces. This visual aid is essential for students to comprehend how a 3D triangular prism can be unfolded into a 2D pattern.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically illustrating the net for an antiprism. The image displays a flattened representation of an antiprism, consisting of two polygonal bases (typically regular polygons) connected by a band of triangles. This visual aid is crucial for students to understand how a 3D antiprism can be unfolded into a 2D shape.

Topic

Geometry

Description

This math clip art image is part of a series showcasing 2D nets of 3D figures, specifically illustrating the net for an antiprism. The image displays a flattened representation of an antiprism, consisting of two polygonal bases (typically regular polygons) connected by a band of triangles. This visual aid is crucial for students to understand how a 3D antiprism can be unfolded into a 2D shape.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.