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Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 6 Unit 1

Reasoning to Find Area

Lesson 17: Squares and Cubes

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Nodes
Interactive Math Game, Math Riddles--3D Geometry

Interactive Math Game: Math Riddles--3D Geometry

Interactive Math Game: Math Riddles--3D Geometry

In this Math Riddles Game, have your students review vocabulary around the topic of 3D Geometry. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking.

This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.

Related Resources

To see additional resources on this topic, click on the Related Resources tab.
3-Dimensional Figures
Math Clip Art--Geometry Concepts--Tessellation Pattern 3

Math Clip Art--Geometry Concepts--Tessellation Pattern 3

Math Clip Art--Tessellation Pattern 3

Topic

Geometry Concepts

Description

This image displays a tessellation pattern created with basic shapes from pattern blocks. The basic pattern block set includes equilateral triangles, squares, rhombuses, trapezoids, hexagons, and parallelograms. These shapes are arranged to tile a plane without gaps or overlaps.

Using pattern blocks for tessellations allows students to explore geometric concepts such as symmetry, transformations, and spatial reasoning. They provide a hands-on approach to understanding how different shapes can be combined to form intricate patterns.

Geometric Constructions with Polygons
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 1

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 1

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 1

Topic

Geometry

Description

This image shows three drumsticks arranged to form a triangle. The drumsticks are placed in a closed triangular shape, with three angles marked in red. This example shows how to construct a triangle using drumsticks. The solution explains that to know it's a triangle, you need to create a closed figure with three sides and note the three interior angles.

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 10

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 10

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 10

Topic

Geometry

Description

The image shows red and yellow circular counters arranged in a grid pattern to form a square shape. The solution explains how to arrange the counters in equal numbers per layer to form a square with four clearly defined corners. This example showcases how to construct a square using these red and yellow counters. 

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 2

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 2

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 2

Topic

Geometry

Description

This image shows a triangle drawn using a crayon. The triangle is closed with three sides, and the three angles are highlighted in red. This example showcases how to draw a triangle using a crayon or pencil. The solution states that to confirm it's a triangle, you need to create a closed figure with three sides and ensure it has three clearly identified angles.

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 3

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 3

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 3

Topic

Geometry

Description

This image shows a triangle drawn using paint and a brush. The triangle is closed with three sides, and the three angles are marked in red. This example showcases how to draw a triangle using paint and a brush. The solution explains that to verify it's a triangle, you must create a closed figure with three sides and make sure it has three clearly identified angles.

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 4

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 4

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 4

Topic

Geometry

Description

This image shows a triangle formed by arranging stickers in a triangular shape. The stickers form the sides of the triangle, and the angles are highlighted. This example showcases how to draw a triangle using stickers. The solution mentions that you can use stickers to form a closed figure with three sides, ensuring it has three clearly identified angles to confirm it's a triangle.

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 5

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 5

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 5

Topic

Geometry

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 6

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 6

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 6

Topic

Geometry

Description

The image features four drumsticks arranged in a square shape. The solution highlights how to verify that the figure is a square by checking that it has four sides and four square corners. This example showcases how to construct a square using four drumsticks. The text describes how to create a closed figure with four sides and check for square corners to confirm it's a square.

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 7

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 7

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 7

Topic

Geometry

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 8

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 8

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 8

Topic

Geometry

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 9

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 9

Math Example--Geometric Shapes--Constructing Geometric Shapes: Example 9

Topic

Geometry

Description

The image shows a set of colorful stickers with various holiday-themed designs (hearts, snowmen, reindeer, bells, etc.). The stickers are arranged to form a square shape. The solution demonstrates how to use the stickers to create a square by aligning them in a closed figure with four clear corners. This example showcases how to draw a square using these stickers. 

Definition of a Quadrilateral and Geometric Constructions with Triangles
Math in the News: Issue 37--A Parade of Geometry

Math in the News: Issue 37--A Parade of Geometry

Math in the News: Issue 37--A Parade of Geometry

11/28/11. In this issue we look at the geometry of parade balloons.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Surface Area and Volume
Math in the News: Issue 73--County Fairs and Funnel Cakes

Math in the News: Issue 73--County Fairs and Funnel Cakes

Math in the News: Issue 73--County Fairs and Funnel Cakes

August 2013. In this issue we look at the geometry of funnel cakes. You'll like the sweet results.

This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.

Related Resources

To see resources related to this topic click on the Related Resources tab above.

Surface Area and Volume
Video Definition 1--3D Geometry--Antiprism

Video Definition 1--3D Geometry--Antiprism

Antiprism

Topic

3D Geometry

Definition

An antiprism is a polyhedron composed of two parallel copies of some particular polygon, connected by an alternating band of triangles.

3-Dimensional Figures
Video Definition 1--3D Geometry--Antiprism--Spanish Audio

Video Definition 1--3D Geometry--Antiprism--Spanish Audio

Video Definition 1--3D Geometry--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 10--3D Geometry--Dodecahedron

Video Definition 10--3D Geometry--Dodecahedron

Dodecahedron

Topic

3D Geometry

Definition

A dodecahedron is a three-dimensional geometric shape with twelve flat faces, each a regular pentagon.

Description

Dodecahedrons are part of the family of Platonic solids, known for their symmetry and aesthetic appeal. They are used in various fields, including molecular chemistry and architecture, where symmetry plays a crucial role. Understanding dodecahedrons is important in math education as it introduces students to complex geometric shapes and their properties. Teachers can use models and diagrams to demonstrate the symmetry and structure of dodecahedrons, fostering an appreciation for geometric beauty and complexity.

3-Dimensional Figures
Video Definition 10--3D Geometry--Dodecahedron--Spanish Audio

Video Definition 10--3D Geometry--Dodecahedron--Spanish Audio

Video Definition 10--3D Geometry--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 11--3D Geometry--Edge

Video Definition 11--3D Geometry--Edge

Edge

Topic

3D Geometry

Definition

An edge is a line segment where two faces of a 3D shape meet.

3-Dimensional Figures
Video Definition 11--3D Geometry--Edge--Spanish Audio

Video Definition 11--3D Geometry--Edge--Spanish Audio

Video Definition 11--3D Geometry--Edge--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 12--3D Geometry--Face

Video Definition 12--3D Geometry--Face

Face

Topic

3D Geometry

Definition

A face is a flat surface that forms part of the boundary of a solid object.

3-Dimensional Figures
Video Definition 12--3D Geometry--Face--Spanish Audio

Video Definition 12--3D Geometry--Face--Spanish Audio

Video Definition 12--3D Geometry--Face--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 13--3D Geometry--Horizontal Cross-Section of a Cube

Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube

Horizontal Cross-Section of a Cube

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube--Spanish Audio

Video Definition 13--3D Geometry--Horizontal Cross-Section of a Cube--Spanish Audio

Video Definition 13--3D Geometry--Horizontal 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 14--3D Geometry--Horizontal Cross-Section of a Cylinder

Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder

Horizontal Cross-Section of a Cylinder

Topic

3D Geometry

Definition

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

Cylinders
Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder--Spanish Audio

Video Definition 14--3D Geometry--Horizontal Cross-Section of a Cylinder--Spanish Audio

Video Definition 14--3D Geometry--Horizontal Cross-Section of 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.

Cylinders
Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron

Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron

Horizontal Cross-Section of a Dodecahedron

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.

3-Dimensional Figures
Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron--Spanish Audio

Video Definition 15--3D Geometry--Horizontal Cross-Section of a Dodecahedron--Spanish Audio

Video Definition 15--3D Geometry--Horizontal 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 16--3D Geometry--Horizontal Cross-Section of a Sphere

Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere

Horizontal Cross-Section of a Sphere

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.

3-Dimensional Figures
Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere--Spanish Audio

Video Definition 16--3D Geometry--Horizontal Cross-Section of a Sphere--Spanish Audio

Video Definition 16--3D Geometry--Horizontal 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 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid

Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid

Horizontal Cross-Section of a Square Pyramid

Topic

3D Geometry

Definition

A horizontal cross-section of a square pyramid is the intersection of the pyramid with a horizontal plane, resulting in a square or a smaller polygon.

Pyramids
Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid--Spanish Audio

Video Definition 17--3D Geometry--Horizontal Cross-Section of a Square Pyramid--Spanish Audio

Video Definition 17--3D Geometry--Horizontal Cross-Section of a 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 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron

Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron

Horizontal Cross-Section of a Tetrahedron

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.

3-Dimensional Figures
Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron--Spanish Audio

Video Definition 18--3D Geometry--Horizontal Cross-Section of a Tetrahedron--Spanish Audio

Video Definition 18--3D Geometry--Horizontal 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 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism

Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism

Horizontal Cross-Section of a Triangular Prism

Topic

3D Geometry

Definition

A horizontal cross-section of a triangular prism is the intersection of the prism with a horizontal plane, resulting in a rectangle or another polygon.

Triangular Prisms
Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism--Spanish Audio

Video Definition 19--3D Geometry--Horizontal Cross-Section of a Triangular Prism--Spanish Audio

Video Definition 19--3D Geometry--Horizontal Cross-Section of 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 2--3D Geometry--Apex

Video Definition 2--3D Geometry--Apex

Apex

Topic

3D Geometry

Definition

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

3-Dimensional Figures
Video Definition 2--3D Geometry--Apex--Spanish Audio

Video Definition 2--3D Geometry--Apex--Spanish Audio

Video Definition 2--3D Geometry--Apex--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 20--3D Geometry--Horizontal Cross-Section of an Antiprism

Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism

Horizontal Cross-Section of an Antiprism

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.

3-Dimensional Figures
Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism--Spanish Audio

Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism--Spanish Audio

Video Definition 20--3D Geometry--Horizontal 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 21--3D Geometry--Horizontal Cross-Section of an Icosahedron

Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron

Horizontal Cross-Section of an Icosahedron

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.

3-Dimensional Figures
Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron--Spanish Audio

Video Definition 21--3D Geometry--Horizontal Cross-Section of an Icosahedron--Spanish Audio

Video Definition 21--3D Geometry--Horizontal 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 22--3D Geometry--Horizontal Cross-Section of a Cone--Spanish Audio

Video Definition 22--3D Geometry--Horizontal Cross-Section of a Cone--Spanish Audio

Video Definition 22--3D Geometry--Horizontal Cross-Section 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 22--3D Geometry--Horizontal Cross-Sections of a Cone

Video Definition 22--3D Geometry--Horizontal Cross-Section of a Cone

Horizontal Cross-Section of a Cone

Topic

3D Geometry

Definition

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

Cones
Video Definition 23--3D Geometry--Icosahedron

Video Definition 23--3D Geometry--Icosahedron

Icosahedron

Topic

3D Geometry

Definition

An icosahedron is a three-dimensional shape with twenty flat triangular faces.

3-Dimensional Figures
Video Definition 23--3D Geometry--Icosahedron--Spanish Audio

Video Definition 23--3D Geometry--Icosahedron--Spanish Audio

Video Definition 23--3D Geometry--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 24--3D Geometry--Net

Video Definition 24--3D Geometry--Net

Net

Topic

3D Geometry

Definition

A net is a two-dimensional representation of a three-dimensional shape, showing all its faces laid out flat.

3-Dimensional Figures
Video Definition 24--3D Geometry--Net--Spanish Audio

Video Definition 24--3D Geometry--Net--Spanish Audio

Video Definition 24--3D Geometry--Net--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 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