Shapes Interactive Videos

Explore the calculation of hydrostatic force on a tank by applying integral calculus and principles of similarity triangles. Develop skills to calculate hydrostatic forces and understand fundamental fluid mechanics concepts, enhancing problem-solving abilities in physics and engineering.

Exploration of trigonometry and geometry highlights the importance of the Law of Sines and Cosines in architectural design. Learners will enhance their problem-solving abilities and deepen their understanding of mathematical relationships that are vital for effective architectural planning and construction.

Explore how analyzing two-hand clocks using a torus can represent various clock configurations and the role of quotient spaces in this analysis. Gain skills in visualizing and interpreting complex time-related problems, enhancing understanding of geometric and algebraic applications in time-keeping systems.

Investigate the fundamental properties and formulas of geometric shapes, focusing on triangles and parallelograms. Gain insights into geometric calculations and develop the ability to apply these formulas accurately in various scenarios.

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.

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.

Focus on geometric proofs highlighting the properties of triangles with an emphasis on isosceles triangles. Learn to apply these principles in real-life applications, such as the focusing of light in headlights. Gain proficiency in solving geometric problems and using mathematical tools to calculate side lengths and prove triangle properties.

Investigate the fundamental properties and distinctions of common 3D shapes by focusing on their base shapes and unique characteristics. Develop the ability to distinguish between different 3D forms and comprehend the structural elements that define various prisms and pyramids.

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.

Engage with the fundamental characteristics of three-dimensional shapes, including cubes, spheres, and pyramids, to develop skills in geometric reasoning. Learn to identify and distinguish these shapes based on their properties and practical examples. This process enhances the ability to recognize and categorize 3D shapes effectively.

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

Explore the world of 3D modeling by designing nonlinear shapes using various CAD tools. Develop skills in creating complex models and master advanced design techniques to enhance proficiency in computer-aided design applications.

Discover the extraordinary mathematical journey of Kelsey Johnson and Nakia Jackson as they engage with ancient puzzles at St. Mary's Academy. Their innovative use of trigonometric proofs demonstrates a groundbreaking approach that highlights the importance of a nurturing educational environment in developing mathematical skills and achieving excellence.

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.

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.

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.

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.

Understand fundamental geometry concepts by focusing on calculating volume and surface area. Identify various shapes, grasp their properties, and apply relevant formulas to solve geometry problems, enhancing spatial reasoning and mathematical precision.

Understand the components and volume calculations of 3D shapes, focusing on cones and their segments. Gain insight into the relationships between different parts of a cone and the process of computing and analyzing volume ratios. Enhance problem-solving skills in geometry through these calculations and analyses.

Explore the concept of equal shares by partitioning various shapes, applying mathematical principles in practical contexts. Understand how to divide shapes into equal areas and ensure accurate partitioning. Identify the relationship between shape, size, and equality within mathematics.