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11th Grade - University
Lorentz Transformation - Coordinate Systems - Relativity
Interactive Video
11th Grade - University
Mathematics, Physics
Explore the fundamental concepts of the Lorentz transformation in the context of relativity, emphasizing the relationship between different inertial frames and variable transformations. Gain an understanding of time dilation, coordinate transformation, and the significance of the Lorentz factor in modern physics.
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11th Grade - University
Linear Transformations - Kernel Concepts - Linear Algebra
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11th Grade - University
Mathematics
Learners will deepen their understanding of kernel and transformations in linear algebra by examining matrix transformations and their effects. By identifying and applying these transformations, learners will achieve desired vector outcomes and grasp the importance of the kernel within vector spaces.
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9th Grade - 12th Grade
Adaptive Growth - Transformation for Survival
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9th Grade - 12th Grade
Moral Science, Philosophy, Life Skills
Understanding and harnessing the process of transformation is crucial for adapting to new environments and overcoming personal limitations. Learners will acquire the ability to embrace change as a tool for personal growth and will explore strategies for survival in evolving circumstances. This exploration will empower individuals to surpass their constraints and thrive in dynamic settings.
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11th Grade - University
Matrix Transformation - Exploring Kernel Concepts - Linear Algebra
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11th Grade - University
Mathematics
Explore matrix transformations through a focus on kernel concepts within linear algebra. Develop analytical skills by identifying matrix dimensions and kernels, determining free variables, and interpreting matrix reductions.
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8th Grade - 12th Grade
Describing Sequences of Transformations - Transformations and Rotations - Geometry
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8th Grade - 12th Grade
Mathematics
Explore the understanding of sequences of transformations in geometry, focusing on rotations, reflections, and translations. Achieve proficiency in describing the processes involved in transforming geometric figures. Develop the skills required to solve geometry problems effectively by mastering these transformation concepts.
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9th Grade - 12th Grade
Transformations in Trigonometry - Sine and Cosecant Functions
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9th Grade - 12th Grade
Mathematics
Explore the intricate world of trigonometric transformations through a focus on sine and cosecant functions. Gain a deeper understanding of transformations and period calculations, and examine the relationship between these functions. Develop skills to identify and apply these concepts in various mathematical contexts.
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8th Grade - 12th Grade
Geometric Transformations - Similar and Congruent Figures - Mathematics
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8th Grade - 12th Grade
Mathematics
Investigate geometric transformations, including translation, dilation, reflection, and rotation, and their effects on the shape and size of figures. Develop skills to differentiate between these transformations and predict their impact on geometric figures, enhancing understanding and analytical abilities.
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8th Grade - 12th Grade
Understanding Notations and Transformations - Rigid Motions - Geometry
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8th Grade - 12th Grade
Mathematics
Explore the notations and transformations associated with rigid motions in geometry, including reflections, rotations, translations, and dilations. Gain the ability to interpret geometric transformations and differentiate between various types of motions to thoroughly understand geometric principles.
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11th Grade - University
Complex Numbers - Loci & Distance - Advanced Concepts
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11th Grade - University
Mathematics
Explore complex numbers through loci and distances, focusing on their representation and transformation. Understand the geometric interpretation of algebraic methods and gain proficiency in solving problems involving the locus of complex numbers.
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8th Grade - 12th Grade
Transformation Techniques - Geometric Transformations - Mathematics
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8th Grade - 12th Grade
Mathematics
Explore geometric transformations, including reflection, rotation, translation, and dilation. Develop skills in identifying and applying these transformations to various figures, enhancing mathematical reasoning and spatial awareness.
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8th Grade - 12th Grade
Understanding Congruence - Transformations - Geometry
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8th Grade - 12th Grade
Mathematics
Learn the fundamental concepts of geometric transformations, focusing on congruence, reflections, rotations, and translations. Develop the ability to identify and manipulate geometric figures through these transformations, enhancing spatial reasoning and understanding of geometric congruence.
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9th Grade - 12th Grade
Matrix Transformations - Visualizing Domain and Codomain - Linear Algebra Concepts
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9th Grade - 12th Grade
Mathematics
Explore the intricacies of matrix transformations, emphasizing the roles of domain and codomain in linear algebra. Understand how these concepts are visually represented to enhance comprehension of their applications and significance in mathematical transformations.
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8th Grade - 12th Grade
[Transformations & Rigid Motions - Understanding Isometries - Geometry Fundamentals]
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8th Grade - 12th Grade
Mathematics
Explore geometric transformations, focusing on translations, rotations, and reflections with an emphasis on isometries and their characteristics. Learners will identify and differentiate between various transformations and understand the significance of rigid motions in geometry.
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8th Grade - 12th Grade
Geometric Transformations - Matrices & Coordinate Systems - Algebra
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8th Grade - 12th Grade
Mathematics
Matrices and coordinate systems are explored to understand geometric transformations within Algebra. The exploration includes translations, rotations, and reflections utilizing matrices. Learners enhance their skills in manipulating and interpreting geometric figures as a result.
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10th Grade - 12th Grade
Function Mapping - Identity & Inverse Functions - Mathematical Structures
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10th Grade - 12th Grade
Mathematics
Gain a comprehensive understanding of function mapping with a focus on identity and inverse functions in mathematical frameworks. Develop insights into the operation of functions and the conditions required for a function to be invertible. Strengthen problem-solving abilities in algebraic settings by exploring these fundamental concepts.
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10th Grade - University
[Analyzing Transformations - Domain & Codomain - Functions & Mapping]
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10th Grade - University
Mathematics
Focus on foundational concepts in transformations, emphasizing the domain, codomain, images, and pre-images. Gain proficiency in determining the image and pre-image of subsets, increasing capability in effectively analyzing mathematical transformations.
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8th Grade - 12th Grade
Understanding Geometric Transformations - Translation, Reflection, and Rotation
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8th Grade - 12th Grade
Mathematics
Explore essential geometric transformations such as translations, reflections, rotations, and dilations. Examine these concepts through examples and practice applying transformation rules, enhancing the ability to recognize isometries in geometry.
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9th Grade - 12th Grade
Geometric Transformations - Transformations in the Coordinate Plane - Mathematics
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9th Grade - 12th Grade
Mathematics
Explore the effects of various geometric transformations, such as reflections, rotations, and translations, on shapes in the coordinate plane. Gain the ability to identify and apply these transformations to geometric figures and understand their properties within a mathematical context.
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11th Grade - University
Understanding Linear Transformations - Properties and Conditions - Advanced Linear Algebra
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11th Grade - University
Mathematics
Explore the properties and conditions of linear transformations within linear algebra, focusing on concepts such as onto and one-to-one transformations. Gain insights into identifying free variables, pivots, and matrix characteristics, enhancing comprehension of complex algebraic systems.
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11th Grade - University
Visualizing Nonlinear Transformation - Local Linearity and Multivariable Calculus
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11th Grade - University
Mathematics
Explore the intricacies of multivariable calculus by examining nonlinear transformations and the concept of local linearity. Gain a deeper understanding of the operation of nonlinear functions and their linear characteristics when closely analyzed. Develop valuable skills applicable to advanced mathematical contexts.
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