This course is about the mathematics that is most widely used in the mechanical engineering core subjects: An introduction to linear algebra and ordinary differential equations (ODEs), including general numerical approaches to solving systems of equations.

What is 'innate behaviour'? Where does it feature in the environment? And how does it compare to 'learned behaviour? Learn about it in this video by The Virtual School.

What is 'innate behaviour'? Where does it feature in the environment? And how does it compare to 'learned behaviour? In this Ecology GCSE / K12 video learn all of the answers to these questions.Are you a passionate teacher who would like to reach tens of thousands of learners? Get in touch: vsteam@fusion-universal.comFind out more: http://www.thevirtualschool.comThis video is distributed under a Creative Commons License: Attribution-NonCommercial-NoDerivs CC BY-NC-ND

Infrastructures for energy, water, transport, information and communications services create the conditions for livability and economic development. They are the backbone of our society. Similar to our arteries and neural systems that sustain our human bodies, most people however take infrastructures for granted. That is, until they break down or service levels go down.

In many countries around the globe infrastructures are ageing. They require substantial investments to meet the challenges of increasing population, urbanization, resource scarcity, congestion, pollution, and so on. Infrastructures are vulnerable to extreme weather events, and therewith to climate change.
Technological innovations, such as new technologies to harvest renewable energy, are one part of the solution. The other part comes from infrastructure restructuring. Market design and regulation, for example, have a high impact on the functioning and performance of infrastructures.

Students continue to explore the story of building a pyramid, learning about the simple machine called a pulley. They learn how a pulley can be used to change the direction of applied forces and move/lift extremely heavy objects, and the powerful mechanical advantages of using a multiple-pulley system. Students perform a simple demonstration to see the mechanical advantage of using a pulley, and they identify modern day engineering applications of pulleys. In a hands-on activity, they see how a pulley can change the direction of a force, the difference between fixed and movable pulleys, and the mechanical advantage gained with multiple / combined pulleys. They also learn the many ways engineers use pulleys for everyday purposes.

Students apply the mechanical advantages and problem-solving capabilities of six types of simple machines (wedge, wheel and axle, lever, inclined plane, screw, pulley) as they discuss modern structures in the spirit of the engineers and builders of the great pyramids. While learning the steps of the engineering design process, students practice teamwork, creativity and problem solving.

In English, the past perfect tense is used to describe the relationship between two actions that happened in the past. Using had + past participle makes the order of the two events clear. For example, one can say, “I had studied English before I moved to Australia”. This sentence is clear and concise. As well, one can see the past perfect contained in the if clause in the third conditional. Ultimately, the past perfect is used in complex sentences, which may be why new English learners are so intimidated by it. Don’t worry, with practice your students will be confident expressing their ideas using the past perfect.If you want additional lesson plans and support, including teachers’ notes, be sure to register for a free Off2Class account.