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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Reasoning to Find Area

Lesson 14: Nets and Surface Area

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Animated Math Clip Art--3D Geometry--Net for Antiprism

Animated Math Clip Art--3D Geometry--Net for Antiprism

Net for Antiprism

Topic

3D Geometry

Description

This animation shows the net of an antiprism unfolding and folding. A net is a 2D representation of a 3D shape that, when folded, creates the 3D object. For an antiprism, this includes two polygonal bases and a band of triangles.

Animated math clip art like this is invaluable for teaching as it helps students visualize the transition between 2D and 3D representations. Teachers can use this to explain concepts of surface area, shape properties, and spatial reasoning.

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Cube

Animated Math Clip Art--3D Geometry--Net for Cube

Net for Cube

Topic

3D Geometry

Description

This animation demonstrates the net of a cube folding into the cube. A cube's net consists of six connected squares that, when folded, form the six faces of the cube.

Using animated math clip art like this helps students understand the relationship between 2D and 3D shapes. Teachers can use this to discuss concepts such as surface area, volume, and spatial relationships.

Here's a potential script for teachers: "Observe how this 2D net folds into a 3D cube. How many squares make up the net? How does this help us calculate the surface area of a cube?"

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Cylinder

Animated Math Clip Art--3D Geometry--Net for Cylinder

Net for Cylinder

Topic

3D Geometry

Description

This animation shows the net of a cylinder folding into the cylinder. A cylinder's net consists of a rectangle (which forms the lateral surface) and two circles (the bases).

Animated math clip art like this is crucial for teaching as it helps students visualize how 2D shapes can form 3D objects. Teachers can use this to explain concepts of surface area, curved surfaces, and the properties of cylinders.

Here's a potential script for teachers: "Watch how this 2D net folds into a 3D cylinder. Can you identify the parts that form the curved surface and the bases? How does this help us understand the surface area of a cylinder?"

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Dodecahedron

Animated Math Clip Art--3D Geometry--Net for Dodecahedron

Net for Dodecahedron

Topic

3D Geometry

Description

This animation demonstrates the net of a dodecahedron folding into the dodecahedron. A dodecahedron's net consists of 12 connected pentagons that, when folded, form the 12 faces of the dodecahedron.

Using animated math clip art like this helps students understand complex 3D shapes and their 2D representations. Teachers can use this to discuss properties of polyhedra, symmetry, and advanced geometric concepts.

Here's a potential script for teachers: "Observe how this 2D net folds into a 3D dodecahedron. How many pentagons make up the net? How does this help us understand the structure and properties of a dodecahedron?"

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Icosahedron

Animated Math Clip Art--3D Geometry--Net for Icosahedron

Net for Icosahedron

Topic

3D Geometry

Description

This animation shows the net of an icosahedron folding into the icosahedron. An icosahedron's net consists of 20 connected equilateral triangles that, when folded, form the 20 faces of the icosahedron.

Animated math clip art like this is invaluable for teaching complex polyhedra. It helps students visualize how 2D shapes can form intricate 3D objects. Teachers can use this to explain concepts of symmetry, polyhedra properties, and advanced geometric relationships.

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Octahedron

Animated Math Clip Art--3D Geometry--Net for Octahedron

Net for Octahedron

Topic

3D Geometry

Description

This animation demonstrates the net of an octahedron folding into the octahedron. An octahedron's net consists of 8 connected equilateral triangles that, when folded, form the 8 faces of the octahedron.

Using animated math clip art like this helps students understand the relationship between 2D and 3D representations of polyhedra. Teachers can use this to discuss concepts such as symmetry, face relationships, and properties of regular polyhedra.

Here's a potential script for teachers: "Observe how this 2D net folds into a 3D octahedron. How many triangles make up the net? How does this help us understand the structure and symmetry of an octahedron?"

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Rectangular Prism

Animated Math Clip Art--3D Geometry--Net for Rectangular Prism

Net for Rectangular Prism

Topic

3D Geometry

Description

This animation shows the net of a rectangular prism folding into the rectangular prism. A rectangular prism's net consists of six rectangles: two identical pairs of congruent rectangles for the sides, and another pair for the top and bottom.

Animated math clip art like this is crucial for teaching as it helps students visualize how 2D shapes form 3D objects. Teachers can use this to explain concepts of surface area, volume, and the properties of prisms.

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Square Pyramid

Animated Math Clip Art--3D Geometry--Net for Square Pyramid

Net for Square Pyramid

Topic

3D Geometry

Description

This animation demonstrates the net of a square pyramid folding into the square pyramid. A square pyramid's net consists of a square base and four triangular faces that meet at the apex.

Using animated math clip art like this helps students understand the structure of pyramids and how 2D shapes form 3D objects. Teachers can use this to discuss concepts such as surface area, slant height, and the properties of pyramids.

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Tetrahedron

Animated Math Clip Art--3D Geometry--Net for Tetrahedron

Net for Tetrahedron

Topic

3D Geometry

Description

This animation shows the net of a tetrahedron folding into the tetrahedron. A tetrahedron's net consists of four equilateral triangles that, when folded, form the four faces of the tetrahedron.

Animated math clip art like this is invaluable for teaching as it helps students visualize how 2D shapes form 3D objects. Teachers can use this to explain concepts of symmetry, face relationships, and properties of regular polyhedra.

Here's a potential script for teachers: "Watch how this 2D net folds into a 3D tetrahedron. How many triangles make up the net? How does this help us understand the structure and symmetry of a tetrahedron?"

3-Dimensional Figures
Animated Math Clip Art--3D Geometry--Net for Triangular Prism

Animated Math Clip Art--3D Geometry--Net for Triangular Prism

Net for Triangular Prism

Topic

3D Geometry

Description

This animation shows the net of a triangular prism folding into the triangular prism. A triangular prism's net consists of two triangular bases and three rectangular faces that form the lateral surface.

Animated math clip art like this is crucial for teaching as it helps students visualize how 2D shapes form 3D objects. Teachers can use this to explain concepts of surface area, volume, and the properties of prisms.

3-Dimensional Figures
Definition--3D Geometry Concepts--Net for a Cube

Definition--3D Geometry Concepts--Net for a Cube

Net for a Cube

Topic

3D Geometry

Definition

A net for a cube is a two-dimensional shape that can be folded to form a three-dimensional cube.

Description

In the realm of three-dimensional geometry, a net for a cube is a crucial concept. It represents a flattened out three-dimensional shape that can be folded along the edges to form a cube. This is an essential tool for visualizing and understanding how 3D shapes are constructed from 2D representations.

Cubes
Definition--3D Geometry Concepts--Net for a Dodecahedron

Definition--3D Geometry Concepts--Net for a Dodecahedron

Net for a Dodecahedron

Topic

3D Geometry.

Definition

A net for a dodecahedron is a two-dimensional figure that can be folded to form a three-dimensional dodecahedron.

Description

The dodecahedron is one of the five Platonic solids, characterized by its twelve regular pentagonal faces, thirty edges, and twenty vertices. Understanding the net of a dodecahedron helps in visualizing and constructing this complex polyhedron from a flat sheet.

3-Dimensional Figures
Definition--3D Geometry Concepts--Net for a Pyramid

Definition--3D Geometry Concepts--Net for a Pyramid

Net for a Pyramid

Topic

3D Geometry

Definition

A net for a pyramid is a two-dimensional representation that, when folded along its edges, forms the three-dimensional shape of a pyramid.

Description

In the study of three-dimensional geometry, understanding the concept of nets is crucial, particularly for complex shapes like pyramids. A net for a pyramid is essentially a flattened version of the 3D shape, showing all its faces in a single plane. This representation is invaluable for visualizing how the pyramid's surfaces connect and for calculating its surface area.

Pyramids
Definition--3D Geometry Concepts--Net for a Rectangular Prism

Definition--3D Geometry Concepts--Net for a Rectangular Prism

Net for a Rectangular Prism

Topic

3D Geometry

Definition

A net for a rectangular prism is a two-dimensional representation that, when folded, forms a three-dimensional rectangular prism.

Description

In the realm of three-dimensional geometry, the concept of a net is crucial for understanding how 3D shapes are constructed from 2D figures. A net for a rectangular prism is essentially a layout of all the faces of the prism in a single plane. This layout includes six rectangles that correspond to the six faces of the prism. By folding along the edges of these rectangles, one can recreate the three-dimensional shape of the rectangular prism.

Rectangular Prisms
Definition--3D Geometry Concepts--Net for a Tetrahedron

Definition--3D Geometry Concepts--Net for a Tetrahedron

Net for a Tetrahedron

Topic

3D Geometry

Definition

A net for a tetrahedron is a two-dimensional pattern that can be folded to form a three-dimensional tetrahedron, which is a polyhedron with four triangular faces.

Description

In the realm of three-dimensional geometry, the concept of a net is crucial for understanding the structure and properties of polyhedra. A tetrahedron, one of the simplest forms of polyhedra, consists of four triangular faces, six edges, and four vertices. The net of a tetrahedron is a flat, two-dimensional figure that, when folded along its edges, forms the three-dimensional shape of the tetrahedron.

3-Dimensional Figures
Definition--3D Geometry Concepts--Net for a Triangular Prism

Definition--3D Geometry Concepts--Net for a Triangular Prism

Net for a Triangular Prism

Topic

3D Geometry

Definition

A net for a triangular prism is a two-dimensional figure that can be folded to form the surface of a three-dimensional triangular prism.

Description

In the context of three-dimensional geometry, a net is a crucial concept for understanding the surface area and structure of 3D shapes. Specifically, the net for a triangular prism consists of two triangular faces and three rectangular faces. When these faces are arranged in a specific two-dimensional pattern, they can be folded along the edges to form a triangular prism.

Triangular Prisms
Definition--3D Geometry Concepts--Net for an Antiprism

Definition--3D Geometry Concepts--Net for an Antiprism

Net for an Antiprism

Topic

3D Geometry.

Definition

A net for an antiprism is a two-dimensional shape that can be folded to form a three-dimensional antiprism, which is a type of polyhedron with two parallel polygonal bases connected by an alternating band of triangles.

Description

In the realm of three-dimensional geometry, an antiprism is a fascinating polyhedron that extends the concept of prisms. Unlike regular prisms, which have two parallel bases connected by rectangular faces, antiprisms have two parallel bases connected by an alternating band of triangles. This unique structure results in a more complex and often more visually interesting shape.

3-Dimensional Figures
Definition--3D Geometry Concepts--Net for an Icosahedron

Definition--3D Geometry Concepts--Net for an Icosahedron

Net for an Icosahedron

Topic

3D Geometry

Definition

A net for an icosahedron is a two-dimensional flat pattern that, when folded along its edges, forms the surface of a three-dimensional icosahedron.

Description

The net for an icosahedron is a crucial concept in three-dimensional geometry, particularly in the study of polyhedra. An icosahedron is a regular polyhedron with 20 faces, each of which is an equilateral triangle. The net provides a visual representation of how these 20 triangular faces are connected and arranged in a flat pattern that can be folded to create the three-dimensional shape.

3-Dimensional Figures
Definition--3D Geometry Concepts--Net for an Octahedron

Definition--3D Geometry Concepts--Net for an Octahedron

Net for an Octahedron

Topic

3D Geometry

Definition

A net for an octahedron is a two-dimensional figure that can be folded to form a three-dimensional octahedron.

Description

In the realm of three-dimensional geometry, a net is a crucial concept that helps in visualizing and constructing 3D shapes from 2D representations. Specifically, a net for an octahedron consists of eight equilateral triangles arranged in a specific pattern. When these triangles are folded along the edges, they form an octahedron, which is a polyhedron with eight faces, twelve edges, and six vertices.

3-Dimensional Figures
Math Clip Art--Net for a Cube

Math Clip Art--Net for a Cube

Math Clip Art--Net for a Cube

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.

3-Dimensional Figures
Math Clip Art--Net for a Pyramid

Math Clip Art--Net for a Pyramid

Math Clip Art--Net for a Pyramid

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.

3-Dimensional Figures
Math Clip Art--Net for a Rectangular Prism

Math Clip Art--Net for a Rectangular Prism

Math Clip Art--Net for a Rectangular Prism

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.

3-Dimensional Figures
Math Clip Art--Net for a Triangular Prism

Math Clip Art--Net for a Triangular Prism

Math Clip Art--Net for a Triangular Prism

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.

3-Dimensional Figures
Math Clip Art--Net for an Antiprism

Math Clip Art--Net for an Antiprism

Math Clip Art--Net for an Antiprism

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.

3-Dimensional Figures
Video Definition 25--3D Geometry--Net for a Cone

Video Definition 25--3D Geometry--Net for a Cone

Net for a Cone

Topic

3D Geometry

Definition

A net for a cone is a two-dimensional representation of a cone, showing its circular base and curved surface laid out flat.

3-Dimensional Figures
Video Definition 25--3D Geometry--Net for a Cone--Spanish Audio

Video Definition 25--3D Geometry--Net for a Cone--Spanish Audio

Video Definition 25--3D Geometry--Net for a Cone--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 26--3D Geometry--Net for a Cube

Video Definition 26--3D Geometry--Net for a Cube

Net for a Cube

Topic

3D Geometry

Definition

A net for a cube is a two-dimensional representation of a cube, showing its six square faces laid out flat.

Cubes
Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio

Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio

Video Definition 26--3D Geometry--Net for a Cube--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Cubes
Video Definition 27--3D Geometry--Net for a Cylinder

Video Definition 27--3D Geometry--Net for a Cylinder

Net for a Cylinder

Topic

3D Geometry

Definition

A net for a cylinder is a two-dimensional representation of a cylinder, showing its two circular bases and rectangular curved surface laid out flat.

3-Dimensional Figures
Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio

Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio

Video Definition 27--3D Geometry--Net for a Cylinder--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron

Video Definition 28--3D Geometry--Net for a Dodecahedron

Net for a Dodecahedron

Topic

3D Geometry

Definition

A net for a dodecahedron is a two-dimensional representation of a dodecahedron, showing its twelve pentagonal faces laid out flat.

3-Dimensional Figures
Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio

Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio

Video Definition 28--3D Geometry--Net for a Dodecahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 29--3D Geometry--Net for a Pyramid

Video Definition 29--3D Geometry--Net for a Pyramid

Net for a Pyramid

Topic

3D Geometry

Definition

A net for a pyramid is a two-dimensional representation of a pyramid, showing its base and triangular faces laid out flat.

Pyramids
Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio

Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio

Video Definition 29--3D Geometry--Net for a Pyramid--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Pyramids
Video Definition 30--3D Geometry--Net for a Rectangular Prism

Video Definition 30--3D Geometry--Net for a Rectangular Prism

Net for a Rectangular Prism

Topic

3D Geometry

Definition

A net for a rectangular prism is a two-dimensional representation of a rectangular prism, showing its six rectangular faces laid out flat.

Rectangular Prisms
Video Definition 30--3D Geometry--Net for a Rectangular Prism--Spanish Audio

Video Definition 30--3D Geometry--Net for a Rectangular Prism--Spanish Audio

Video Definition 30--3D Geometry--Net for a Rectangular Prism--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Rectangular Prisms
Video Definition 31--3D Geometry--Net for a Tetrahedron

Video Definition 31--3D Geometry--Net for a Tetrahedron

Net for a Tetrahedron

Topic

3D Geometry

Definition

A net for a tetrahedron is a two-dimensional representation of a tetrahedron, showing its four triangular faces laid out flat.

3-Dimensional Figures
Video Definition 31--3D Geometry--Net for a Tetrahedron--Spanish Audio

Video Definition 31--3D Geometry--Net for a Tetrahedron--Spanish Audio

Video Definition 31--3D Geometry--Net for a Tetrahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 32--3D Geometry--Net for a Triangular Prism

Video Definition 32--3D Geometry--Net for a Triangular Prism

Net for a Triangular Prism

Topic

3D Geometry

Definition

A net for a triangular prism is a two-dimensional representation of a triangular prism, showing its two triangular bases and three rectangular faces laid out flat.

Triangular Prisms
Video Definition 32--3D Geometry--Net for a Triangular Prism--Spanish Audio

Video Definition 32--3D Geometry--Net for a Triangular Prism--Spanish Audio

Video Definition 32--3D Geometry--Net for a Triangular Prism--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

Triangular Prisms
Video Definition 33--3D Geometry--Net for an Antiprism

Video Definition 33--3D Geometry--Net for an Antiprism

Net for an Antiprism

Topic

3D Geometry

Definition

A net for an antiprism is a two-dimensional representation of an antiprism, showing its two polygonal bases and the alternating triangular faces laid out flat.

3-Dimensional Figures
Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio

Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio

Video Definition 33--3D Geometry--Net for an Antiprism--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 34--3D Geometry--Net for an Icosahedron

Video Definition 34--3D Geometry--Net for an Icosahedron

Net for an Icosahedron

Topic

3D Geometry

Definition

A net for an icosahedron is a two-dimensional representation of an icosahedron, showing its twenty triangular faces laid out flat.

3-Dimensional Figures
Video Definition 34--3D Geometry--Net for an Icosahedron--Spanish Audio

Video Definition 34--3D Geometry--Net for an Icosahedron--Spanish Audio

Video Definition 34--3D Geometry--Net for an Icosahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures
Video Definition 35--3D Geometry--Net for an Octahedron

Video Definition 35--3D Geometry--Net for an Octahedron

Net for an Octahedron

Topic

3D Geometry

Definition

A net for an octahedron is a two-dimensional representation of an octahedron, showing its eight triangular faces laid out flat.

3-Dimensional Figures
Video Definition 35--3D Geometry--Net for an Octahedron--Spanish Audio

Video Definition 35--3D Geometry--Net for an Octahedron--Spanish Audio

Video Definition 35--3D Geometry--Net for an Octahedron--Spanish Audio

This is part of a collection of math video definitions related to the topic of 3D Geometry. These videos have Spanish audio. Note: The download is an MP4 video.

3-Dimensional Figures