Illustrative Math Alignment: Grade 6 Unit 1

Topic

3D Geometry

Definition

A horizontal cross-section of a dodecahedron is the intersection of the dodecahedron with a horizontal plane, resulting in a polygon.

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 horizontal cross-section of a sphere is the intersection of the sphere with a horizontal plane, resulting in a circle.

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 horizontal cross-section of a tetrahedron is the intersection of the tetrahedron with a horizontal plane, resulting in a triangle or another polygon.

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 apex is the highest point in a geometric figure, such as the top of a pyramid or cone.

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 horizontal cross-section of an antiprism is the intersection of the antiprism with a horizontal plane, resulting in a polygon.

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 horizontal cross-section of an icosahedron is the intersection of the icosahedron with a horizontal plane, resulting in a polygon.

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 icosahedron is a three-dimensional shape with twenty 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

A net is a two-dimensional representation of a three-dimensional shape, showing all its 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 cone is a two-dimensional representation of a cone, showing its circular base and 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 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

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 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 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

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

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 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 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.

Topic

3D Geometry

Definition

A vertical cross-section of a cube is the intersection of the cube with a vertical plane, resulting in a square.

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 vertical cross-section of a dodecahedron is the intersection of the dodecahedron with a vertical plane, resulting in a polygon.

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.