Illustrative Math Alignment: Grade 8 Unit 3

Functions and Volume

Lesson 17: Scaling One Dimension

Use the following Media4Math resources with this Illustrative Math lesson.

Title	Body	Curriculum Topic
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	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 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	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 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 36--3D Geometry--Octahedron	Octahedron Topic 3D Geometry Definition An octahedron is a three-dimensional shape with eight flat triangular faces.	3-Dimensional Figures
Video Definition 36--3D Geometry--Octahedron--Spanish Audio	Video Definition 36--3D Geometry--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
Video Definition 37--3D Geometry--Platonic Solids	Platonic Solids 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.	3-Dimensional Figures
Video Definition 37--3D Geometry--Platonic Solids--Spanish Audio	Video Definition 37--3D Geometry--Platonic Solids--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 38--3D Geometry--Prism	Prism 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	3-Dimensional Figures
Video Definition 38--3D Geometry--Prism--Spanish Audio	Video Definition 38--3D Geometry--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.	3-Dimensional Figures
Video Definition 39--3D Geometry--Pyramid	Pyramid 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	Pyramids
Video Definition 39--3D Geometry--Pyramid--Spanish Audio	Video Definition 39--3D Geometry--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 4--3D Geometry--Cavalieri's Principle	Cavalieri's Principle 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.	3-Dimensional Figures
Video Definition 4--3D Geometry--Cavalieri's Principle--Spanish Audio	Video Definition 4--3D Geometry--Cavalieri's Principle--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 40--3D Geometry--Rectangular Prism	Rectangular Prism 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	Rectangular Prisms
Video Definition 40--3D Geometry--Rectangular Prism--Spanish Audio	Video Definition 40--3D Geometry--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 41--3D Geometry--Slant Height	Slant Height 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.	3-Dimensional Figures
Video Definition 41--3D Geometry--Slant Height--Spanish Audio	Video Definition 41--3D Geometry--Slant Height--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 42--3D Geometry--Sphere	Sphere 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	Spheres
Video Definition 42--3D Geometry--Sphere--Spanish Audio	Video Definition 42--3D Geometry--Sphere--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.	Spheres
Video Definition 43--3D Geometry--Square Pyramid	Square Pyramid 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	Pyramids
Video Definition 43--3D Geometry--Square Pyramid--Spanish Audio	Video Definition 43--3D Geometry--Square 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 44--3D Geometry--Surface Area	Surface Area Topic 3D Geometry Definition Surface area is the total area covered by the surface of a three-dimensional object.	Surface Area
Video Definition 44--3D Geometry--Surface Area--Spanish Audio	Video Definition 44--3D Geometry--Surface Area--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.	Surface Area
Video Definition 45--3D Geometry--Tetrahedron	Tetrahedron Topic 3D Geometry Definition A tetrahedron is a three-dimensional shape with four triangular faces.	3-Dimensional Figures
Video Definition 45--3D Geometry--Tetrahedron--Spanish Audio	Video Definition 45--3D Geometry--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 46--3D Geometry--Triangular Prism	Triangular Prism 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	Triangular Prisms
Video Definition 46--3D Geometry--Triangular Prism--Spanish Audio	Video Definition 46--3D Geometry--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 47--3D Geometry--Triangular Pyramid	Triangular Pyramid 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	Pyramids
Video Definition 47--3D Geometry--Triangular Pyramid--Spanish Audio	Video Definition 47--3D Geometry--Triangular 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 48--3D Geometry--Vertex	Vertex Topic 3D Geometry Definition A vertex is a point where two or more edges meet in a geometric shape.	3-Dimensional Figures
Video Definition 48--3D Geometry--Vertex--Spanish Audio	Video Definition 48--3D Geometry--Vertex--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 49--3D Geometry--Vertical Cross-Section of a Cube	Vertical Cross-Section of a Cube 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.	3-Dimensional Figures
Video Definition 49--3D Geometry--Vertical Cross-Section of a Cube--Spanish Audio	Video Definition 49--3D Geometry--Vertical Cross-Section of 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.	3-Dimensional Figures
Video Definition 5--3D Geometry--Cone	Cone Topic 3D Geometry Definition A cone is a three-dimensional geometric shape with a circular base and a single vertex, called the apex, not in the plane of the circle. Description Cones are prevalent in both natural and man-made structures, such as traffic cones and volcanoes. In mathematics, cones are studied for their properties, including surface area and volume. The volume V of a cone is given by the formula V = 1/3 πr2h	Cones
Video Definition 5--3D Geometry--Cone--Spanish Audio	Video Definition 5--3D Geometry--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.	Cones
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron	Vertical Cross-Section of a Dodecahedron 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.	3-Dimensional Figures
Video Definition 50--3D Geometry--Vertical Cross-Section of a Dodecahedron--Spanish Audio	Video Definition 50--3D Geometry--Vertical Cross-Section of 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 51--3D Geometry--Vertical Cross-Section of a Sphere	Vertical Cross-Section of a Sphere Topic 3D Geometry Definition A vertical cross-section of a sphere is the intersection of the sphere with a vertical plane, resulting in a circle.	3-Dimensional Figures
Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--Spanish Audio	Video Definition 51--3D Geometry--Vertical Cross-Section of a Sphere--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 52--3D Geometry--Vertical Cross-Section of a Tetrahedron	Vertical Cross-Section of a Tetrahedron Topic 3D Geometry Definition A vertical cross-section of a tetrahedron is the intersection of the tetrahedron with a vertical plane, resulting in a triangle or another polygon.	3-Dimensional Figures
Video Definition 52--3D Geometry--Vertical Cross-Section of a Tetrahedron--Spanish Audio	Video Definition 52--3D Geometry--Vertical Cross-Section of 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 53--3D Geometry--Vertical Cross-Section of an Antiprism	Vertical Cross-Section of an Antiprism Topic 3D Geometry Definition A vertical cross-section of an antiprism is the intersection of the antiprism with a vertical plane, resulting in a polygon.	3-Dimensional Figures
Video Definition 53--3D Geometry--Vertical Cross-Section of an Antiprism--Spanish Audio	Video Definition 53--3D Geometry--Vertical Cross-Section of 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 54--3D Geometry--Vertical Cross-Section of an Icosahedron	Vertical Cross-Section of an Icosahedron Topic 3D Geometry Definition A vertical cross-section of an icosahedron is the intersection of the icosahedron with a vertical plane, resulting in a polygon.	3-Dimensional Figures
Video Definition 54--3D Geometry--Vertical Cross-Section of an Icosahedron--Spanish Audio	Video Definition 54--3D Geometry--Vertical Cross-Section of 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 55--3D Geometry--Vertical Cross-Sections of a Cone	Vertical Cross-Sections of a Cone Topic 3D Geometry Definition Vertical cross-sections of a cone are the intersections of the cone with vertical planes, resulting in shapes like triangles or parabolas.	Cones
Video Definition 55--3D Geometry--Vertical Cross-Sections of a Cone--Spanish Audio	Video Definition 55--3D Geometry--Vertical Cross-Sections of 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.	Cones
Video Definition 56--3D Geometry--Vertical Cross-Sections of a Cylinder	Vertical Cross-Sections of a Cylinder Topic 3D Geometry Definition Vertical cross-sections of a cylinder are the intersections of the cylinder with vertical planes, resulting in rectangles or ellipses.	Cylinders