University of Connecticut adaptation of OpenStax's Calculus 1 Calculus is designed for …
University of Connecticut adaptation of OpenStax's Calculus 1
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 1 covers functions, limits, derivatives, and integration.
Introductory Business Statistics is designed to meet the scope and sequence requirements …
Introductory Business Statistics is designed to meet the scope and sequence requirements of the one-semester statistics course for business, economics, and related majors. Core statistical concepts and skills have been augmented with practical business examples, scenarios, and exercises. The result is a meaningful understanding of the discipline, which will serve students in their business careers and real-world experiences.
The purpose of this task is to help solidify students' understanding of …
The purpose of this task is to help solidify students' understanding of signed numbers as points on a number line and to understand the geometric interpretation of adding and subtracting signed numbers.
Student groups work with manipulatives—pencils and trays—to maximize various quantities of a …
Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable.
In this video lesson, students will learn about linear programming (LP) and …
In this video lesson, students will learn about linear programming (LP) and will solve an LP problem using the graphical method. Its focus is on the famous "Stigler's diet" problem posed by the 1982 Nobel Laureate in economics, George Stigler. Based on his problem, students will formulate their own diet problem and solve it using the graphical method. The prerequisites to this lesson are basic algebra and geometry. The materials needed for the in-class activities include graphing paper and pencil. This lesson can be completed in one class of approximately one hour. If the teacher would like to cover the simplex algorithm by George Dantzig as an alternative solution method, an additional whole class period is suggested.
In this ordering task each number has at most 3 digits so …
In this ordering task each number has at most 3 digits so that students have the opportunity to think about how digit placement affects the size of the number.
This book consists of ten weeks of material given as a course …
This book consists of ten weeks of material given as a course on ordinary differential equations (ODEs) for second year mathematics majors at the University of Bristol. It is the first course devoted solely to differential equations that these students will take.
The purpose of this task is to present students with a situation …
The purpose of this task is to present students with a situation in which they need to divide a whole number by a unit fraction in order to find a solution.
Student teams are challenged to design and build architecturally inspired cardboard furniture, …
Student teams are challenged to design and build architecturally inspired cardboard furniture, guided by the steps of the engineering design process. They cultivate their industrial engineering and design skills to design furnishings that meet functional, aesthetic and financial requirements. Given constraints that include limited building materials and tools, groups research architectural styles and period furnishings. The teams brainstorm ideas, make small-scale quick prototypes, then make detailed plans and create full-scale prototypes of their best solutions. The full-size prototypes are evaluated by peer critique for aesthetic alignment to the targeted architectural style and tested for functionality. After final refinements, teams present their concepts and display their final prototype furnishings in an exhibition.
This short video and interactive assessment activity is designed to give fourth …
This short video and interactive assessment activity is designed to give fourth graders an overview of comparison of capacity (gallons, pints, and quarts).
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