Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

(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 2 extiende el concepto de matrices introducidas en el módulo 1. Los estudiantes analizan las relaciones de incidencia en las redes y codifican información sobre ellas a través de matrices de alta dimensión. Se estudian las propiedades de la matriz, así como el papel de las matrices cero y de identidad. Luego, los estudiantes usan matrices para estudiar y resolver sistemas de ecuaciones de orden superior. Se introducen vectores y los estudiantes estudian la aritmética de los vectores y la magnitud del vector. El módulo termina cuando los estudiantes programan videojuegos usando matrices y vectores.

English Description:
Module 2 extends the concept of matrices introduced in Module 1.  Students look at incidence relationships in networks and encode information about them via high-dimensional matrices.  Matrix properties are studied as well as the role of the zero and identity matrices.  Students then use matrices to study and solve higher order systems of equations.  Vectors are introduced, and students study the arithmetic of vectors and vector magnitude.  The module ends as students program video games using matrices and vectors.

This lesson, from Engage New York, has students investigating:the forces involved in constructing a stone archadd and subtract vectors given in magnitude and direction formsolving problems that can be represented by vectorsThis lesson has teacher and studnet versions in both PDF and Word form. In this lesson, students will investigate the forces involved in constructing a stone arch utilizing the web app GeoGebra. This investigation also use a PBS Learning/NOVA site to enhance the learning so the students have context. There are structured questions for opening and discussion of possible impacts on stone arches. Students will work on GeoGebra to find resultant vectors. Then there is a structed exploratory activity for students to calculate magnitude and direction of force vectors. This lesson also provides an optional Exit Ticket to determine if students have achieved the learning goals of the lesson.