Illustrative Math Alignment: Grade 6 Unit 1

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.

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.

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.

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.

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.

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.

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.

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.

Topic

3D Geometry

Definition

The base of a geometric figure is the surface a solid object stands on or the bottom line of a shape like a triangle or rectangle.

Description

The concept of a base is fundamental in geometry as it provides a reference point for measuring height and calculating area and volume. In real-world applications, the base is crucial in construction and design, where the stability of a structure often depends on its base. In mathematics, the base is used to derive formulas for area and volume, such as the volume V of a prism: 

V = Base Area × Height

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Topic

3D Geometry

Definition

An octahedron is a three-dimensional shape with eight flat triangular faces.

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.

Topic

3D Geometry

Definition

Platonic solids are a group of five regular polyhedra, each with congruent faces of regular polygons and the same number of faces meeting at each vertex.

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.

Topic

3D Geometry

Definition

A prism is a three-dimensional shape with two parallel, congruent bases and rectangular lateral faces.

Description

Prisms are important geometric shapes characterized by their two parallel, congruent bases and rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = Base Area × Height 

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.

Topic

3D Geometry

Definition

A pyramid is a three-dimensional shape with a polygonal base and triangular faces that converge at a single point called the apex.

Description

Pyramids are significant geometric shapes characterized by their polygonal base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and archaeology, to create structures and monuments. In mathematics, pyramids are important for understanding concepts of volume and surface area, with formulas like 

V = 1/3 × Base Area × Height

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.

Topic

3D Geometry

Definition

Cavalieri's Principle states that two solids with equal heights and equal cross-sectional areas at every level have equal volumes.

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.

Topic

3D Geometry

Definition

A rectangular prism is a three-dimensional shape with six rectangular faces, twelve edges, and eight vertices.

Description

Rectangular prisms are fundamental geometric shapes characterized by their six rectangular faces, twelve edges, and eight vertices. They are used in various fields, including architecture, engineering, and packaging, to create structures and containers. In mathematics, rectangular prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = l × w × h 

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.

Topic

3D Geometry

Definition

Slant height is the distance from the top of a cone or pyramid to the edge of its base, measured along its side.

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.

Topic

3D Geometry

Definition

A sphere is a perfectly round three-dimensional shape where every point on the surface is equidistant from the center.

Description

The sphere is a fundamental shape in geometry, characterized by its perfect symmetry and uniform curvature. It is widely used in fields like physics, astronomy, and engineering to model planets, atoms, and other spherical objects. In mathematics, spheres are important for understanding concepts of volume and surface area, with formulas like 

V = 4/3 πr3

for volume and 

A = 4πr2

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.

Topic

3D Geometry

Definition

A square pyramid is a three-dimensional shape with a square base and four triangular faces that converge at a single point called the apex.

Description

Square pyramids are significant geometric shapes characterized by their square base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and archaeology, to create structures and monuments. In mathematics, square pyramids are important for understanding concepts of volume and surface area, with formulas like 

V = 1/3 × Base Area × Height

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.

Topic

3D Geometry

Definition

Surface area is the total area covered by the surface of a three-dimensional object.

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.

Topic

3D Geometry

Definition

A tetrahedron is a three-dimensional shape with four triangular faces.

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.

Topic

3D Geometry

Definition

A triangular prism is a three-dimensional shape with two parallel triangular bases and three rectangular faces.

Description

Triangular prisms are important geometric shapes characterized by their two parallel triangular bases and three rectangular lateral faces. They are used in various fields, including architecture, engineering, and optics, to create structures and lenses. In mathematics, triangular prisms are essential for understanding concepts of volume and surface area, with formulas like 

V = Base Area × Height

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.

Topic

3D Geometry

Definition

A triangular pyramid, also known as a tetrahedron, is a three-dimensional shape with a triangular base and three triangular faces that converge at a single point called the apex.

Description

Triangular pyramids, or tetrahedrons, are significant geometric shapes characterized by their triangular base and triangular faces that converge at an apex. They are used in various fields, including architecture, art, and molecular modeling, to create structures and models. In mathematics, triangular pyramids are important for understanding concepts of volume and surface area, with formulas like 

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.

Topic

3D Geometry

Definition

A vertex is a point where two or more edges meet in a geometric shape.

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.