Bicycle Safety--Smart Cycling

Rules your children can follow to stay bicycle safe.

Pet Rescue

In this Design Challenge activity students will explore how structure relates to function as they design devices to save Fido.

Explore Quadratics

In this activity, students can select values for quadratic function coefficients, plot and explore multiple functions.

Photoelectric Effect Virtual Lab

The Photoelectric Effect Virtual Lab was designed with the intent that students and teachers might explore one of the most important, non-classical, behaviors of light - the photoelectric effect. The ability of light, under the right conditions, to liberate electrons from the surface of metals, was one of the most profound mysteries of the late 19th and early 20th centuries. In this Virtual Lab, students will graphically explore the behavior of light with metals.

AlgTop13: More applications of winding numbers

We define the degree of a function from the circle to the circle, and use that to show that there is no retraction from the disk to the circle, the Brouwer fixed point theorem, and a Lemma of Borsuk.
This is the 13th lecture of this beginner's course in Algebraic Topology, given by Assoc Prof N J Wildberger at UNSW.

Quantum Transport: Atom to Transistor

The development of "nanotechnology" has made it possible to engineer materials and devices on a length scale as small as several nanometers (atomic distances are ~ 0.1 nm). The properties of such "nanostructures" cannot be described in terms of macroscopic parameters like mobility and diffusion coefficient and a microscopic or atomistic viewpoint is called for. The purpose of this course is to convey the conceptual framework that underlies this microscopic theory of matter which developed in cou

Algorithms

The design of algorithms is studied, according to methodology and application. Methodologies include: divide and conquer, dynamic programming, and greedy strategies. Applications involve: sorting, ordering and searching, graph algorithms, geometric algorithms, mathematical (number theory, algebra and linear algebra) algorithms, and string matching algorithms. Analysis of algorithms is studied - worst case, average case, and amortized - with an emphasis on the close connection between the time co

Private Universe Project in Mathematics: Workshop 4: Thinking Like a Mathematician

What does a mathematician do? What does it mean to think like a mathematician? This program parallels what a mathematician does in real life with the creative thinking of students.,How a Mathematician Approaches Problems. Fern Hunt, a mathematician at the National Institute for Standards and Technology, is seen as she collaborates with colleagues to solve difficult technical problems. Using the metaphor of the childrenÂ’s game Towers of Hanoi, she explains her approach to solving problems. In a

Advanced Algebra II (CA Textbook)

Advanced Algebra II provides three complementary resources for teachers and students that combine to provide a friendly, easy-to-understand explanation of Algebra II concepts. The main text, "Activities and Homework", consists of a series of worksheets for both in-class group work as well as homework assignments. The concepts behind those activities are described in detail in the "Conceptual Explanations" text. The third book, the "Teacher's Guide", provides instructors with guides and suggestio

Logiciels de construction de cartes de connaissances: Des outils pour apprendre

This article examines the possible uses of concept mapping software in a university or continuing education context. Concept mapping applications allow the student to graphically represent compiled information as a network of nodes and vectors. The article looks at several applications that may be used to make different kinds of maps, but mainly reviews teaching strategies that incorporate these tools as well as providing a number of planning pointers. It also summarizes the main advantages and

Improving Your Commute

Road traffic is a challenging societal problem, and with the increasing crowding of areas in and around cities, it is only becoming worse. With the proliferation of wireless connectivity, smartphones (think cheap embedded computers), it is now possible to continuously monitor urban areas using mobile sensors carried by people

Elementary Linear Algebra & Solutions to Elementary Linear Algebra

This book is an introduction to linear algebra, based on lectures given by me over 17 years, in the (now defunct) first year course MP103 at the University of Queensland.

Uniform convergence and pointwise convergence

The aim of this material is to introduce the student to two notions of convergence for sequences of real-valued functions. The notion of pointwise convergence is relatively straightforward, but the notion of uniform convergence is more subtle. Uniform convergence is explained in terms of closed function balls and the new notion of sets absorbing sequences. The differences between the two types of convergence are illustrated with several examples. Some standard facts are also discussed: a uniform

NASA KSNN What do animals need to live?

There are many different habitats on the Earth. These vary in the landforms, sources of water, and climate conditions. Plants and animals are specially adapted to live in their habitats. Animals suited to live in the desert (very dry, either hot or cold) would have a difficult time living in the tropical rain forest (warm and very wet). Grades K-2

Spain hopes for festive lottery luck

As the OECD warns the Spainish government that that it might need to raise taxes further if 2011 growth is weak, Spaniards hope for luck in El Gordo, the Christmas lottery.

Virtual yeast cell

This rich learning object is used to introduce yeast cytology to students taking Module D24BS3 Brewery Yeast Management as part of the MSc in Brewing Science. The virtual cell permits the students to understand structure and function of yeast organelles.

Photographs of Lewis Hine: Documentation of Child Labor

This lesson encourages students to analyze dozens of photographs taken in the early 1900s depicting working conditions for child laborers. This lesson correlates to the National History Standards and the National Standards for Civics and Social Sciences. It has cross-curricular connections with history, government, language arts, and business law.

Regulation of Body Processes

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OpenStax College
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By the end of this section, you will be able to:

NASA CONNECT Rocket to the Stars: Introduction to Algebra

In NASA CONNECT Rocket to the Stars, students will learn the basic science concepts of work and energy and see how algebra can be used to help explain both concepts. NASA is working on new ways of powering spacecraft that will reduce the travel time to the Moon, Mars, and beyond. Students will be introduced to two cutting edge innovative propulsion technology programs, Prometheus and VASIMR, that will allow crewed and uncrewed vehicles to explore the distant reaches of the solar system. Grades 6

NASA CONNECT Geometry and Algebra: The Future Flight Equation

In NASA CONNECT Future Flight Equation, NASA engineers and researchers use geometry and algebra to design, develop, and test tomorrow's aircraft. Students build a portable glider catapult to test wing span design. The amazing Hyper-X aircraft is featured. Grades 6-8.