In this activity, students interpret the motion of a car using its related velocity and acceleration vectors.

This group created a peer-reviewed, solution manual
supplement to the textbook. They decided upon the exercises and concepts they individually struggled with the most throughout the semester (imagining other students would equally struggle) and they created detailed solutions and other commentary to explain their answers, thoughts, and methods. Then the group members swapped their work and peer-reviewed each other. All the materials were then seamed together as a single document. The source LaTeX file can be downloaded at https://drive.google.com/file/d/1-8CRkOoKBWMiGGfYRzXyVd9freJN745N/view.

This course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis.
Users may find additional or updated materials at Professor Carter’s 3.016 course Web site.

The purpose of this task is to engage students in geometric modeling, and in particular to deduce algebraic relationships between variables stemming from geometric constraints. The modelling process is a challenging one, and will likely elicit a variety of attempts from the students.

Students are introduced to the physics concepts of air resistance and launch angle as they apply to catapults. This includes the basic concepts of position, velocity and acceleration and their relationships to one another. They use algebra to solve for one variable given two variables.

This is my math inquiry project for algebra students. It is focused on the central question: "When does the risk of going to school outweigh the cost of snow days?" This lesson includes a grabber, central question, culminating activity, and assessment.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: This task will investigate the intersection points of the circle $C$ of radius 1 centered at $(0,0)$ and different lines passing through the point $(0,...

Short Description:
Welcome to the OER companion to Baylor University's Math 1121: The Calculus Supplement Course, an optional, co-requisite course for students enrolled in Calculus 1. This OER was designed to provide 'just in time' support for the algebraic, trigonometric, and geometric relationships undergirding Calculus 1.

Long Description:
Welcome to the OER companion for Baylor University’s Math 1121: The Calculus Supplement Course! Math 1121 is an optional, co-requisite course for students enrolled in Calculus 1. This OER was designed to provide ‘just in time’ support for the algebraic, trigonometric, and geometric relationships undergirding Calculus 1. The topics and content were deliberately sequenced to coincide with the topics and content Calculus 1 students engage as they study limits, derivatives, applications of derivatives, and integration. Therefore, this text first reviews the essential functions from Pre-Calculus that students need to be successful in Calculus 1. Then, it examines the properties and algebraic transformations of those functions and reinforces strategies for analyzing functions. Finally, it bolsters the relationships between algebra and geometry that the Fundamental Theorem of Calculus and integrals bring together for Calculus 1 students. Although this OER was designed to support Calculus 1 students, there is almost no Calculus within these ‘pages.’ Rather, the focus is on everything that happens in a Calculus problem after that first Calculus step. Enjoy!

Word Count: 77096

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

This is a three-credit course which covers topics that enhance the students’ problem solving abilities, knowledge of the basic principles of probability/statistics, and guides students to master critical thinking/logic skills, geometric principles, personal finance skills. This course requires that students apply their knowledge to real-world problems. A TI-84 or comparable calculator is required. The course has four main units: Thinking Algebraically, Thinking Logically and Geometrically, Thinking Statistically, and Making Connections. This course is paired with a course in MyOpenMath which contains the instructor materials (including answer keys) and online homework system with immediate feedback. All course materials are licensed by CC-BY-SA unless otherwise noted.

Short Description:
This book provides a brief introduction to some common ideas in the study of probability. At the University of Minnesota, this material is included in a course on College Algebra designed to give students the basic skills to take an introductory Statistics course. The material itself is basic, and should be within the grasp of students who have successfully completed a high school Algebra I course.

Word Count: 1827

ISBN: 978-1-946135-79-7

(Note: This resource's metadata has been created automatically by reformatting and/or combining the information that the author initially provided as part of a bulk import process.)

Getting Started

Type of Unit: Introduction

Prior Knowledge

Students should be able to:

Solve and write numerical equations for whole number addition, subtraction, multiplication, and division problems.
Use parentheses to evaluate numerical expressions.
Identify and use the properties of operations.

Lesson Flow

In this unit, students are introduced to the rituals and routines that build a successful classroom math community and they are introduced to the basic features of the digital course that they will use throughout the year.

An introductory card sort activity matches students with their partner for the week. Then over the course of the week, students learn about the lesson routines: Opening, Work Time, Ways of Thinking, Apply the Learning, Summary of the Math, and Reflection. Students learn how to present their work to the class, the importance of taking responsibility for their own learning, and how to effectively participate in the classroom math community.

Students then work on Gallery problems to further explore the program’s technology resources and tools and learn how to organize their work.

The mathematical work of the unit focuses on numerical expressions, including card sort activities in which students identify equivalent expressions and match an expression card to a word card that describes its meaning. Students use the properties of operations to identify equivalent expressions and to find unknown values in equations.

This Remote Learning Plan was created by Jennifer Gier in collaboration with Tyler Cronin and Craig Hicks as part of the 2020 ESU-NDE Remote Learning Plan Project. Educators worked with coaches to create Remote Learning Plans as a result of the COVID-19 pandemic.The attached Remote Learning Plan is designed for Grades 7-12 math students. Students will learn to identify functions and evaluate functions at a given value using function notation. This Remote Learning Plan addresses the following NDE Standard: 11.2.1a, 11.2.1bIt is expected that this Remote Learning Plan will take students 140 minutes to complete.Here is the direct link to the Google Slide: https://docs.google.com/presentation/d/1eBIpImvKMWaAZNwdJMH7chKmAxYGGFVlHCgm2kT3rc0/edit?usp=sharing 

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

Students calculate the viscosity of various household fluids by measuring the amount of time it takes marble or steel balls to fall given distances through the liquids. They experience what viscosity means, and also practice using algebra and unit conversions.

(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 de 25 días de grado 2, los estudiantes amplían su habilidad y comprensión de las unidades agrupando, decenas y cientos de hasta mil con pajitas. A diferencia de la longitud de 10 centímetros en el módulo 2, estos paquetes son conjuntos discretos. Una unidad puede ser agarrada y contada como un plátano? 1cientos, cientos, 3cientos, etc. Un número en el Grado 1 generalmente consistía en dos unidades, decenas y otras diferentes. Ahora, en el grado 2, un número generalmente consta de tres unidades: cientos, decenas y otras. Las unidades agrupadas se organizan separándolas más grandes a más pequeñas, ordenadas de izquierda a derecha. En el transcurso del módulo, la instrucción se mueve de los paquetes físicos que muestran la proporcionalidad de las unidades a discos de valor del lugar no proporción y a los números en la tabla de valor del lugar.

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

English Description:
In this 25-day Grade 2 module, students expand their skill with and understanding of units by bundling ones, tens, and hundreds up to a thousand with straws. Unlike the length of 10 centimeters in Module 2, these bundles are discrete sets. One unit can be grabbed and counted just like a banana?1 hundred, 2 hundred, 3 hundred, etc. A number in Grade 1 generally consisted of two different units, tens and ones. Now, in Grade 2, a number generally consists of three units: hundreds, tens, and ones. The bundled units are organized by separating them largest to smallest, ordered from left to right. Over the course of the module, instruction moves from physical bundles that show the proportionality of the units to non-proportional place value disks and to numerals on the place value chart.

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

The goal of these lessons is for students to be able to write expressions from word phases, write algebraic equations to represent real-world scenarios, and match linear expressions to word problems. Often students are able to figure out the solutions to mathematical concepts taught in isolation, but are challenged when ask to explain what the answer means in the context of a word problem. This lesson is designed to teach students the relevance of their mathematic answer. Before introducing this lesson, think about some real world relevant examples where the algebraic equations would assist the students in their everyday lives. Have these ready to address the issue of relevance in students’ lives.

This problem allows the student to think geometrically about lines and then relate this geometry to linear functions. Or the student can work algebraically with equations in order to find the explicit equation of the line through two points (when that line is not vertical).

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: In the picture below a square is outlined whose vertices lie on the coordinate grid points: The area of this particular square is 16 square units. For ...

This is an introductory text intended for a one-year introductory course of the type typically taken by biology majors, or for AP Physics 1 and 2. Algebra and trig are used, and there are optional calculus-based sections. My text for physical science and engineering majors is Simple Nature.