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Math

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  4. Geometry
  5. Geometric Modeling
  6. Shapes
  7. Reasoning With Three-dimensional Shapes And Their Attributes
  8. Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Prisms

Describing The Two-dimensional Figures That Result From Slicing Right Rectangular Prisms Interactive Videos

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10th Grade - 12th Grade

3D Geometry - Identifying Vertices, Edges, and Faces - Three-Dimensional Figures

3D Geometry - Identifying Vertices, Edges, and Faces - Three-Dimensional Figures

Interactive Video

3D Geometry - Identifying Vertices, Edges, and Faces - Three-Dimensional Figures

10th Grade - 12th Grade

Mathematics

Focus on the fundamental characteristics of three-dimensional geometric figures by identifying vertices, edges, and faces. Develop a clear understanding of these components to enhance spatial reasoning skills and geometric knowledge.

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6th Grade - 10th Grade

Dimensional Concepts - Understanding 2D and 3D Shapes - Geometry

Dimensional Concepts - Understanding 2D and 3D Shapes - Geometry

Interactive Video

Dimensional Concepts - Understanding 2D and 3D Shapes - Geometry

6th Grade - 10th Grade

Mathematics

Explore foundational concepts of dimensions by understanding 2D and 3D shapes in geometry. Students will identify and differentiate between various geometric figures, enhancing their ability to recognize shapes and comprehend the properties of dimensions.

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9th Grade - 12th Grade

Geometric Reasoning - Visualization Techniques - Higher Dimensions

Geometric Reasoning - Visualization Techniques - Higher Dimensions

Interactive Video

Geometric Reasoning - Visualization Techniques - Higher Dimensions

9th Grade - 12th Grade

Mathematics

Utilizing geometric reasoning in higher dimensions enhances learners' spatial intuition and analytical capabilities, allowing them to comprehend complex mathematical concepts involving multidimensional spaces.

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10th Grade - 12th Grade

Calculating Perimeters - Composite Figures in Geometry

Calculating Perimeters - Composite Figures in Geometry

Interactive Video

Calculating Perimeters - Composite Figures in Geometry

10th Grade - 12th Grade

Mathematics

Calculate the perimeter of composite figures by exploring various two-dimensional shapes. Develop geometry skills by understanding and applying techniques for finding perimeters, building confidence in managing complex figures effectively.

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11th Grade - University

Understanding Three-Dimensional Coordinate Systems - Introduction to Calculus III

Understanding Three-Dimensional Coordinate Systems - Introduction to Calculus III

Interactive Video

Understanding Three-Dimensional Coordinate Systems - Introduction to Calculus III

11th Grade - University

Mathematics

Examine the fundamentals of three-dimensional coordinate systems, highlighting the introduction of the z-axis and the concept of octants. Gain proficiency in visualizing and interpreting points in 3D space, thus enhancing overall comprehension of mathematical concepts in multidimensional analysis.

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6th Grade - 10th Grade

Understanding Space - Techniques in Visual Arts

Understanding Space - Techniques in Visual Arts

Interactive Video

Understanding Space - Techniques in Visual Arts

6th Grade - 10th Grade

Arts

Explore the significance of space in visual arts by examining key concepts such as site-specific art and the distinction between positive and negative space. Understand how artists create the illusion of depth and distance in two-dimensional works using techniques like overlapping and varying hues. Enhance the ability to communicate artistic ideas effectively.

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4th Grade - University

Understanding Cross Sections - Geometric Transformations - 3D Shapes

Understanding Cross Sections - Geometric Transformations - 3D Shapes

Interactive Video

Understanding Cross Sections - Geometric Transformations - 3D Shapes

4th Grade - University

Physics, Science

Explore the concept of cross sections in geometry by understanding how slices of three-dimensional shapes result in two-dimensional figures and analyzing the transformations caused by rotations. Develop the ability to identify and describe the two-dimensional shapes produced by various cuts, enhancing spatial reasoning and comprehension of geometric properties.

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7th Grade - 12th Grade

Understanding Constant Width Shapes - Reuleaux Triangles and 3D Applications

Understanding Constant Width Shapes - Reuleaux Triangles and 3D Applications

Interactive Video

Understanding Constant Width Shapes - Reuleaux Triangles and 3D Applications

7th Grade - 12th Grade

Mathematics, Science

Explore the intriguing concept of constant width shapes, including Reuleaux triangles, and discover their unique geometric properties. Gain an understanding of their application in real-world scenarios to enhance knowledge of geometry and engineering concepts.

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9th Grade - 12th Grade

Conceptual Analysis - Visualization Challenges & Implications - Big Bang Theory

Conceptual Analysis - Visualization Challenges & Implications - Big Bang Theory

Interactive Video

Conceptual Analysis - Visualization Challenges & Implications - Big Bang Theory

9th Grade - 12th Grade

Science, Physics

Examine foundational concepts and address common misconceptions about the Big Bang Theory, concentrating on the visualization of an expanding universe. Gain a deep understanding of essential principles, such as the implications of a universe without edges, and how these insights underpin modern cosmological models. Develop comprehension of the universe’s continuous expansion and how this theory integrates into contemporary scientific understanding.

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6th Grade - 10th Grade

Mastering Artistic Elements - Core Concepts - Visual Arts

Mastering Artistic Elements - Core Concepts - Visual Arts

Interactive Video

Mastering Artistic Elements - Core Concepts - Visual Arts

6th Grade - 10th Grade

Arts

Explore the fundamental elements of art, focusing on concepts such as color, line, and space. Develop a deep understanding of artistic principles to enhance skills in analyzing and creating visual compositions.

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9th Grade - 10th Grade

[Understanding Fractals and Modern Geometry Concepts]

[Understanding Fractals and Modern Geometry Concepts]

Interactive Video

[Understanding Fractals and Modern Geometry Concepts]

9th Grade - 10th Grade

Mathematics

Explore modern geometry by examining fractals, space-time dynamics, and dimensional theory. Gain an appreciation for the intricate complexity of fractals, understand how space and time interrelate, and acquire insights into innovative geometric concepts.

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8th Grade - 9th Grade

Applying Theorem - 3D Geometry - Pythagorean Applications

Applying Theorem - 3D Geometry - Pythagorean Applications

Interactive Video

Applying Theorem - 3D Geometry - Pythagorean Applications

8th Grade - 9th Grade

Mathematics

Explore the application of the Pythagorean theorem in three-dimensional shapes, focusing on calculating lengths in cubes and rectangular prisms. Understand how to form right triangles in 3D structures, enhancing geometric problem-solving skills.

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6th Grade - 9th Grade

Understanding Area and Perimeter - Mathematical Concepts - Geometry

Understanding Area and Perimeter - Mathematical Concepts - Geometry

Interactive Video

Understanding Area and Perimeter - Mathematical Concepts - Geometry

6th Grade - 9th Grade

Mathematics

Explore the core principles of geometry by focusing on the concepts of area and perimeter. Gain skills in calculating dimensions, converting units of measurement, and recognizing different mathematical figures with an understanding of their distinct properties.

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10th Grade - University

Analyzing Parametric Surfaces - Mathematical Visualization - Complex Functions

Analyzing Parametric Surfaces - Mathematical Visualization - Complex Functions

Interactive Video

Analyzing Parametric Surfaces - Mathematical Visualization - Complex Functions

10th Grade - University

Physics, Mathematics

Explore the fascinating world of parametric surfaces through the use of complex functions and mathematical visualization techniques. Enhance your understanding of geometric patterns and learn how functions can be applied to create intricate shapes, such as the torus.

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6th Grade - 10th Grade

Decimal Comparison - Symbols and Methods - Foundations of Number Sense

Decimal Comparison - Symbols and Methods - Foundations of Number Sense

Interactive Video

Decimal Comparison - Symbols and Methods - Foundations of Number Sense

6th Grade - 10th Grade

Mathematics

Understand essential concepts in comparing decimal numbers using symbols and visual techniques. Develop skills to accurately compare decimal values, gaining a deeper understanding of numerical magnitude through engaging examples and exercises.

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11th Grade - University

Geometric Reasoning in Higher Dimensions - Visualization Challenges and Concepts

Geometric Reasoning in Higher Dimensions - Visualization Challenges and Concepts

Interactive Video

Geometric Reasoning in Higher Dimensions - Visualization Challenges and Concepts

11th Grade - University

Mathematics

Investigate the geometric reasoning involved in visualizing problems in higher dimensions, emphasizing spatial reasoning and understanding. Gain insights into advanced visualization techniques and learn how these concepts can improve your ability to address complex multidimensional geometric challenges.

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7th Grade - 12th Grade

Conceptual Differentiation - Shapes and Forms - Visual Arts

Conceptual Differentiation - Shapes and Forms - Visual Arts

Interactive Video

Conceptual Differentiation - Shapes and Forms - Visual Arts

7th Grade - 12th Grade

Design, Arts, Architecture

Explore the fundamental differences between shapes and forms in visual arts. Enhance understanding of how these elements convey emotions and messages effectively in diverse artistic practices.

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11th Grade - University

Understanding Three-Dimensional Coordinate Systems - Axes and Projections - Multivariable Calculus

Understanding Three-Dimensional Coordinate Systems - Axes and Projections - Multivariable Calculus

Interactive Video

Understanding Three-Dimensional Coordinate Systems - Axes and Projections - Multivariable Calculus

11th Grade - University

Mathematics

Gain a comprehensive understanding of three-dimensional coordinate systems by focusing on axes and projections. Develop essential skills in interpreting and visualizing 3D objects and coordinate planes, thereby enhancing the comprehension of multivariable calculus applications.

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4th Grade - University

Understanding Volume - Calculating & Expressing Dimensions - Geometrical Concepts

Understanding Volume - Calculating & Expressing Dimensions - Geometrical Concepts

Interactive Video

Understanding Volume - Calculating & Expressing Dimensions - Geometrical Concepts

4th Grade - University

Science, Physics

Explore the concept of volume in mathematics by focusing on its definition, expression in three-dimensional forms, and calculation methods for cubes and rectangular prisms. Gain skills in defining, calculating, and expressing volume, enhancing understanding of geometric dimensions.

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9th Grade - 12th Grade

Braid Theory - Braiding in Higher Dimensions - Topological Concepts

Braid Theory - Braiding in Higher Dimensions - Topological Concepts

Interactive Video

Braid Theory - Braiding in Higher Dimensions - Topological Concepts

9th Grade - 12th Grade

Science, Mathematics, Physics

Explore braid theory concepts, examining the impact of dimensions on braiding and the role of topological interactions in higher dimensions. Understand pure braids and confront the challenges of visualizing braids in higher dimensions. Analyze how dimensionality influences movement and increases complexity, enhancing comprehension of intricate mathematical interactions.

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