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  • Geometry
Lines of Symmetry For Circles
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CC BY
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This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, fourth graders can understand infinity in an informal way.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
11/11/2012
Lines of Symmetry For Quadrilaterals
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CC BY
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This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
11/11/2012
Lines of Symmetry For Triangles
Unrestricted Use
CC BY
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This task is intended for instruction, providing the students with a chance to experiment with physical models of triangles, gaining spatial intuition by executing reflections.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
10/12/2012
Locating Warehouse
Unrestricted Use
CC BY
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This task can be implemented in a variety of ways. For a class with previous exposure to the incenter or angle bisectors, part (a) could be a quick exercise in geometric constructions,. Alternatively, this could be part of a full introduction to angle bisectors, culminating in a full proof that the three angle bisectors are concurrent, an essentially complete proof of which is found in the solution below.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Marble Cattle: Lesson 3 Digging Deeper, Unit 2 Power, Structure, And Technology, DIGS AmeriCorps Curriculum CSU
Read the Fine Print
Educational Use
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Marble Cattle. This is the Lesson 3 Digging Deeper activity, from Unit 2 Power, Structure and Technology, from the DIGS (Developing Individuals, Growing Stewards) AmeriCorps Curriculum from CSU. The curriculum focuses on introducing students in grades 3-5 to Colorado agriculture, industry and environmental issues. The curriculum is matched to State Standards 2021. The curriculum upon request. Visit: https://engagement.colostate.edu/programs-old/developing-individuals-growing-stewards/

Subject:
Agribusiness
Agriculture
Agriculture and Natural Resources
Agriculture, Natural Resources and Energy
Anatomy/Physiology
Animal Science
Applied Science
Biology
Career and Technical Education
Design
Engineering
Environmental Science
Environmental Studies
Geometry
Life Science
Mathematics
Physical Science
Physics
Psychology
STEAM
Social Science
Visual Arts and Design
Material Type:
Activity/Lab
Lesson
Lesson Plan
Simulation
Provider:
CSU Extension Office
Provider Set:
AmeriCorps
Date Added:
02/24/2023
Maths and Islamic art & design
Read the Fine Print
Educational Use
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This resource provides a variety of information and activities that teachers may like to use with their students to explore the Islamic Middle East collections at the V&A. It can be used to support learning in Maths and Art. Included in this resource are sections on:

Principles of Islamic art and design
Pre-visit activities
Activities to do in the museum
Activities to do back at school
Islamic art explores the geometric systems that depend upon the regular division of the circle and the study of Islamic art increases appreciation and understanding of geometry. The use of these geometric systems creates a harmony among Islamic decorative arts and architecture, which is consistent with the Islamic belief that all creation is harmoniously interrelated.

Approaching an abstract subject in a concrete way provides a means of extending maths into other curriculum areas. The context of the Museum expands and enriches students' appreciation of the application of geometry in a cultural context and develops the sense of different cultural identities. Students have the opportunity to become familiar with the relationship between geometry and design and this can give confidence to students who have never seen themselves as 'good at art'.

Subject:
Arts and Humanities
Geometry
Mathematics
Material Type:
Activity/Lab
Diagram/Illustration
Provider:
Victoria and Albert Museum
Provider Set:
Individual Authors
Date Added:
04/06/2023
Maximizing Area: Gold Rush
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help you assess how well students are able to: Interpret a situation and represent the variables mathematically; select appropriate mathematical methods to use; explore the effects on the area of a rectangle of systematically varying the dimensions whilst keeping the perimeter constant; interpret and evaluate the data generated and identify the optimum case; and communicate their reasoning clearly.

Subject:
Geometry
Mathematics
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
03/30/2023
Middle School Math - Grade 6 (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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CK-12 Foundation's Middle School Math € Grade 6 Flexbook covers the fundamentals of fractions, decimals, and geometry. Also explored are units of measurement, graphing concepts, and strategies for utilizing the book's content in practical situations.

Subject:
Functions
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
06/25/2011
Middle School Math - Grade 6 (Teacher's Edition)
Unrestricted Use
CC BY
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Provides teaching tips, information on common errors, differentiated instruction, enrichment, and problem solving for teachers to use with the CK-12 Middle School Math - Grade 6, Student Edition.

Subject:
Functions
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
05/15/2012
Middle School Math - Grade 7 (Student's Edition)
Conditional Remix & Share Permitted
CC BY-NC-SA
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A work in progress, CK-12's Math 7 explores foundational math concepts that will prepare students for Algebra and more advanced subjects. Material includes decimals, fractions, exponents, integers, percents, inequalities, and some basic geometry.

Subject:
Algebra
Functions
Geometry
Mathematics
Material Type:
Textbook
Provider:
CK-12 Foundation
Provider Set:
CK-12 FlexBook
Date Added:
10/04/2010
A Midpoint Miracle
Unrestricted Use
CC BY
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This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Midpoints of the Sides of a Paralellogram
Unrestricted Use
CC BY
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This is a reasonably direct task aimed at having students use previously-derived results to learn new facts about parallelograms, as opposed to deriving them from first principles. The solution provided (among other possibilities) uses the SAS trial congruence theorem, and the fact that opposite sides of parallelograms are congruent.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Modeling: Rolling Cups
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to: choose appropriate mathematics to solve a non-routine problem; generate useful data by systematically controlling variables; and develop experimental and analytical models of a physical situation.

Subject:
Functions
Geometry
Mathematics
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
03/30/2023
Mt. Whitney to Death Valley
Unrestricted Use
CC BY
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The purpose of this task is to engage students in an open-ended modeling task that uses similarity of right triangles, and also requires the use of technology.

Subject:
Geometry
Mathematics
Trigonometry
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
02/04/2013
Módulo 2 de grado 8: El concepto de congruencia
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CC BY-NC-SA
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(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.)

En este módulo, los estudiantes aprenden sobre traducciones, reflexiones y rotaciones en el avión y, lo que es más importante, cómo usarlas para definir con precisión el concepto de congruencia. A lo largo del tema A, sobre las definiciones y propiedades de los movimientos rígidos básicos, los estudiantes verifican experimentalmente sus propiedades básicas y, cuando son factibles, profundicen su comprensión de estas propiedades utilizando el razonamiento. Todas las lecciones del tema B demuestran a los estudiantes la capacidad de secuenciar varias combinaciones de movimientos rígidos mientras mantienen las propiedades básicas de los movimientos rígidos individuales. Los estudiantes aprenden que la congruencia es solo una secuencia de movimientos rígidos básicos en el Tema C, y el Tema D comienza el aprendizaje del Teorema Pitagórico.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
In this module, students learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the concept of congruence. Throughout Topic A, on the definitions and properties of the basic rigid motions, students verify experimentally their basic properties and, when feasible, deepen their understanding of these properties using reasoning. All the lessons of Topic B demonstrate to students the ability to sequence various combinations of rigid motions while maintaining the basic properties of individual rigid motions. Students learn that congruence is just a sequence of basic rigid motions in Topic C, and Topic D begins the learning of Pythagorean Theorem.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
09/21/2013
Módulo 4 de grado 4: Figuras de medida de ángulo y plano
Conditional Remix & Share Permitted
CC BY-NC-SA
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(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.)

Este módulo de 20 días introduce puntos, líneas, segmentos de línea, rayos y ángulos, así como las relaciones entre ellos. Los estudiantes construyen, reconocen y definen estos objetos geométricos antes de usar su nuevo conocimiento y comprensión para clasificar las cifras y resolver problemas. Con la medida de ángulo que juega un papel clave en su trabajo a lo largo del módulo, los estudiantes aprenden cómo crear y medir ángulos, así como crear y resolver ecuaciones para encontrar medidas de ángulo desconocidas. En estos problemas, donde el ángulo desconocido está representado por una letra, los estudiantes exploran ambos midiendo el ángulo desconocido con un protractor y razonamiento a través de la resolución de una ecuación. A través de actividades de descomposición y composición, así como una exploración de la simetría, los estudiantes reconocen atributos específicos presentes en figuras bidimensionales. Desarrollan su comprensión de estos atributos a medida que clasifican las figuras bidimensionales basadas en ellas.

Encuentre el resto de los recursos matemáticos de Engageny en https://archive.org/details/engageny-mathematics.

English Description:
This 20-day module introduces points, lines, line segments, rays, and angles, as well as the relationships between them. Students construct, recognize, and define these geometric objects before using their new knowledge and understanding to classify figures and solve problems. With angle measure playing a key role in their work throughout the module, students learn how to create and measure angles, as well as create and solve equations to find unknown angle measures. In these problems, where the unknown angle is represented by a letter, students explore both measuring the unknown angle with a protractor and reasoning through the solving of an equation. Through decomposition and composition activities as well as an exploration of symmetry, students recognize specific attributes present in two-dimensional figures. They further develop their understanding of these attributes as they classify two-dimensional figures based on them.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

Subject:
Geometry
Mathematics
Material Type:
Module
Provider:
New York State Education Department
Provider Set:
EngageNY
Date Added:
10/20/2013