Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the preimage to the image.
Describe a possible sequence of rigid transformations between two congruent figures.
In this unit, the student will learn about transformational geometry. The student will learn about congruence transformations, such as reflections, translations, and rotations, and will also learn about geometric patterns
such as symmetry and tessellations.
This book is a "flexed" version of CK-12's Basic Geometry that aligns with College Access Geometry and contains embedded literacy supports. It covers the essentials of geometry for the high school student.
CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.
This College Algebra textbook provides a comprehensive introduction to the fundamental concepts of algebra, with a unique focus on the concept of inverses. The textbook begins with an exploration of the foundational principles of functions, including domain, range, and the vertical line test. It progresses through critical topics such as operations on functions, composition of functions, and the algebra of functions, ensuring students grasp the fundamental building blocks necessary for more complex algebraic thinking.Several times the teaching diverges from how the subject is commonly taught. Examples include absolute value, determining the inverse of a function, and completing the square. The text is as devoid of "gimmicks" or "tricks" as possible, leaning on the fundamentals of good algebra. Also, there is a high reliance on fractions, rather than decimal numbers, to help equip the student with the better way to read a problem and its solution.This book is written for and dedicated to my grandchildren, and the fact that you're taking at least a glimpse of it is just a huge bonus! Thank you.
This course provides introduction to computer graphics algorithms, software and hardware. Topics include: ray tracing, the graphics pipeline, transformations, texture mapping, shadows, sampling, global illumination, splines, animation and color. This course offers 6 Engineering Design Points in MIT’s EECS program.
This class introduces studies in the algorithmic manipulation of type as word, symbol, and form. Problems covered will include semantic filtering, inherently unstable letterforms, and spoken letters. The history and traditions of typography, and their entry into the digital age, will be studied. Weekly assignments using Java® will explore new ways of looking at and manipulating type.
A structured geometry program teacher edition of daily lesson plans and teacher supports to accompany the College Access Reader: Geometry student edition.
Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality.
Course Format
This course has been designed for independent study. It consists of four units, one for each topic. The units can be used individually or in combination. The materials for each unit include:
Lecture Videos by MIT faculty.
Learning activities, including Interactive Concept Quizzes, designed to reinforce main concepts from lectures.
Problem Sets you do on your own and check your answers against the Solutions when you’re done.
Problem Solving Video help sessions taught by experienced MIT Teaching Assistants.
Lists of important Terms and Definitions.
Suggested Topics and Links for further study.
Exams with Solution Keys.
Content Development
Eric Lander
Robert Weinberg
Tyler Jacks
Hazel Sive
Graham Walker
Sallie Chisholm
Dr. Michelle Mischke
The modern human experience places a large emphasis upon the material world. From the day of our birth to the day we die, we are frequently preoccupied with the world around us. Whether struggling to feed ourselves, occupying ourselves with modern inventions, interacting with other people or animals, or simply meditating on the air we breathe, our attention is focused on different aspects of the material world. In fact only a handful of disciplines—certain subsets of religion, philosophy, and abstract math—can be considered completely unrelated to the material world. Everything else is somehow related to chemistry, the scientific discipline which studies the properties, composition, and transformation of matter.
CK-12 Foundation's Geometry FlexBook is a clear presentation of the essentials of geometry for the high school student. Topics include: Proof, Congruent Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.
Module 1 embodies critical changes in Geometry as outlined by the Common Core. The heart of the module is the study of transformations and the role transformations play in defining congruence. The topic of transformations is introduced in a primarily experiential manner in Grade 8 and is formalized in Grade 10 with the use of precise language. The need for clear use of language is emphasized through vocabulary, the process of writing steps to perform constructions, and ultimately as part of the proof-writing process.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
CK-12's Geometry - Second Edition is a clear presentation of the essentials of geometry for the high school student. Topics include: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations.
CK-12 Geometry Teacher's Edition covers tips, common errors, enrichment, differentiated instruction and problem solving for teaching CK-12 Geometry Student Edition. The solution and assessment guides are available upon request.
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
El módulo 1 incorpora cambios críticos en la geometría según lo descrito por el núcleo común. El corazón del módulo es el estudio de las transformaciones y el papel que juegan las transformaciones para definir la congruencia. El tema de las transformaciones se introduce de manera principalmente experiencial en el grado 8 y se formaliza en el grado 10 con el uso de un lenguaje preciso. La necesidad de un uso claro del lenguaje se enfatiza a través del vocabulario, el proceso de escribir pasos para realizar construcciones y, en última instancia, como parte del proceso de escritura de prueba.
Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.
English Description:
Module 1 embodies critical changes in Geometry as outlined by the Common Core. The heart of the module is the study of transformations and the role transformations play in defining congruence. The topic of transformations is introduced in a primarily experiential manner in Grade 8 and is formalized in Grade 10 with the use of precise language. The need for clear use of language is emphasized through vocabulary, the process of writing steps to perform constructions, and ultimately as part of the proof-writing process.
Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.
(Nota: Esta es una traducción de un recurso educativo abierto creado por el Departamento de Educación del Estado de Nueva York (NYSED) como parte del proyecto "EngageNY" en 2013. Aunque el recurso real fue traducido por personas, la siguiente descripción se tradujo del inglés original usando Google Translate para ayudar a los usuarios potenciales a decidir si se adapta a sus necesidades y puede contener errores gramaticales o lingüísticos. La descripción original en inglés también se proporciona a continuación.)
El módulo 1 prepara el escenario para ampliar la comprensión de los estudiantes de las transformaciones explorando la noción de linealidad. Esto conduce al estudio de números complejos y transformaciones lineales en el plano complejo. Los materiales del maestro consisten en las páginas del maestro que incluyen boletos de salida, soluciones de boletos de salida y todos los materiales del alumno con soluciones para cada lección en el módulo 1.
English Description:
Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the study of complex numbers and linear transformations in the complex plane. The teacher materials consist of the teacher pages including exit tickets, exit ticket solutions, and all student materials with solutions for each lesson in Module 1.
Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the study of complex numbers and linear transformations in the complex plane. The teacher materials consist of the teacher pages including exit tickets, exit ticket solutions, and all student materials with solutions for each lesson in Module 1.
In this video segment from Cyberchase, the CyberSquad breaks down an action into a series of steps in order to program a robot to do what they need it to do.
This lesson unit is intended to help teachers assess how well students are able to: recognize and visualize transformations of 2D shapes; and translate, reflect and rotate shapes, and combine these transformations. It also aims to encourage discussion on some common misconceptions about transformations.
Exploration assignments of transformations with both Algebra 2 parent functions and Trigonometric Functions.