CK-12 Trigonometry Teacher's Edition provides tips and common errors for teaching CK-12 Trigonometry Student Edition. The solution and assessment guides are available upon request.
This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:
"Chagas disease is caused by the parasite _Trypanosoma cruzi. T. cruzi_ is transmitted between animals and people in the feces of blood-drinking triatomines or ‘kissing bugs’. Some parasites are known to alter the microbiome of their hosts, but that has not been explored in detail for this host-parasite pair. To characterize these potential interactions, researchers examined _Rhodnius prolixus_ after exposure to either _T. cruzi _or _T. rangeli_, a non-pathogenic relative. Exposure to either parasite led to an overall reduction in the number of microbes in the anterior and posterior midgut. Exposure also tended to lead to reductions in the relative abundance of Enterobacterales and Corynebacteriales. Exposure also tended to lead to reductions in the relative abundance of Enterobacterales and Corynebacteriales and to communities with Lactobacillales as the most abundant taxa. This particular pattern of microbial community changes was the most true of insects exposed to _T..."
The rest of the transcript, along with a link to the research itself, is available on the resource itself.
Tsetse flies are important vectors of human and animal diseases that adversely impact life in sub-Sahara Africa. A community of tsetse researchers (International Glossina Genome Initiative) have been working to obtain the full genome sequence of the tsetse species Glossina morsitans morsitans. The group have also mined the genome data to advance knowledge on functional aspects of tsetse and African trypanosome biology. This collection describes findings on tsetse's salivary gland biology, olfactory chemistry, lactation process, acquaporin proteins that play a role in lactation, oxidative stress responses during pregnancy, gut peritrophic matrix analysis and horizontal transfer events discovered in tsetse's genome from the symbiont Wolbachia. Further manuscripts reflect on the historical aspects of sleeping sickness epidemics that have plagued sub-Sahara in the 20th century.
These notes contain many sample calculations. It is important to do these yourself—type them in at your keyboard and see what happens on your screen—to get the feel of working in R.
Exercises in the middle of a section should be done immediately when you get to them, and make sure you have them right before moving on.
Many other similar introductions are scattered around the web; a partial list is in the “contributed documentation” section on the R web site (http://cran.r-project.org/other-docs.html). This particular version is limited (it has similar coverage to the standard Introduction to R manual and targets biologists who are neither programmers nor statisticians (yet).
In this activity, students interpret the motion of a car using its related velocity and acceleration vectors.
Addition of three Vectors, and displays resultant Vectors. Can drag the endPoints of the three different Vectors, but the resultant always starts at the origin.
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
This web page is an interactive physics problem on vector addition. The page explains the concept of breaking a vector into components and adding them together, and works through an example problem. The attached Java applet visualizes the problem. This is part of a collection of similar simulation-based student activities.
Created for a first-year university course, this linear algebra textbook takes an unusual approach: it introduces vector spaces at the outset and deals with linear systems only after a thorough introduction to vector spaces. This approach is based on the authors' experience over the past 25 years that students often need more time to master vector spaces while traditional textbooks relegate the topic to the end of the course. In this way, these new notions at the heart of linear algebra that are often considered abstract and difficult in an introductory course can then be used in the rest of the course as well as in different contexts.
In this activity, students will use vector analysis to understand the concept of dead reckoning. Students will use vectors to plot their course based on a time and speed. They will then correct the positions with vectors representing winds and currents.
Visualizing, adding and breaking down vectors in 2 dimensions. Created by Sal Khan.
Students are introduced to the concepts of force, inertia and Newton's first law of motion: objects at rest stay at rest and objects in motion stay in motion unless acted upon by an unbalanced force. Examples of contact and non-contact types of forces are provided, specifically applied, spring, drag, frictional forces, and magnetic, electric, gravitational forces. Students learn the difference between speed, velocity and acceleration, and come to see that the change in motion (or acceleration) of an object is caused by unbalanced forces. They also learn that engineers consider and take advantage of these forces and laws of motion in their designs. Through a PowerPoint® presentation and some simple teacher demonstrations these fundamental science concepts are explained and illustrated. This lesson is the first in a series of three lessons that are intended to be taught as a unit.
Students are introduced to Newton's second law of motion: force = mass x acceleration. After a review of force, types of forces and Newton's first law, Newton's second law of motion is presented. Both the mathematical equation and physical examples are discussed, including Atwood's Machine to illustrate the principle. Students come to understand that an object's acceleration depends on its mass and the strength of the unbalanced force acting upon it. They also learn that Newton's second law is commonly used by engineers as they design machines, structures and products, everything from towers and bridges to bicycles, cribs and pinball machines. This lesson is the second in a series of three lessons that are intended to be taught as a unit.
This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:
"Like most animals, mosquitoes carry many microbes in and on their bodies. These microbial communities (microbiota) impact the mosquitoes’ growth, survival, reproduction, and capacity to transmit pathogens, but the tools available to researchers to study mosquito microbiotas are limited. In other species, particularly mammals, microbiota transfer is a useful method to research microbial dynamics. However, such transfers had not previously been attempted in mosquitoes, until a recent study where researchers successfully transferred microbiota between individual _Aedes aegypti_ mosquitoes. as well as between _Culex quinquefasciatus_ and _A. aegypti_ mosquitoes. They transferred whole-body microbiota from adult donors to larvae and then observed the microbiota dynamics. The recipient mosquitoes retained most of the donor bacterial groups, suggesting that the transfer was successful, and the typical microbiota shifts occurred as the mosquitoes moved from larval stages to adulthood..."
The rest of the transcript, along with a link to the research itself, is available on the resource itself.