Speed is the distance traveled divided by the time of travel. For example; if you were to travel a distance of 10 miles in 2 hours time, then your average speed equals 5 miles per hour. Most textbooks bold face the units that also contain direction information. All quantities that are not vectors are called scalars. Time is a scalar quantity. The WWW links on this site will take you directly to the various web site pages. Your browser URL address line will tell you the origin of the site and it’s material. Let’s talk a moment about unit conversions. It makes little difference what set of units you use.
A Guide to Isaac Asimov’s Essays
Student View Task Carbon 14 is a common form of carbon which decays over time. The half-life of Carbon 14, that is the amount of time it takes for half of the Carbon 14 to decay, is approximately years. If there is currently one microgram of Carbon 14 remaining in the preserved plant, approximately when did the plant die? IM Commentary The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places.
Note that the purpose of this task is algebraic in nature — closely related tasks exist which approach similar problems from numerical or graphical stances. The two solutions provided differ slightly in their approach in this regard.
Expanding and Condensing Logarithms Worksheet Lovely Logarithm Properties Speed Dating Activity Condensing and, picture size x posted by at August 26, This specific image (Expanding and Condensing Logarithms Worksheet Lovely Logarithm Properties Speed Dating Activity Condensing and) over is usually classed along with: expanding and, posted through on
The second method uses a sliding linear L scale available on some models. Addition and subtraction are performed by sliding the cursor left for subtraction or right for addition then returning the slide to 0 to read the result. Standard linear rules[ change change source ] The length of the slide rule is quoted in terms of the nominal length of the scales. Models a couple of meters long were sold to be hung in classrooms for teaching purposes.
Some high-end slide rules have magnifying cursors that make the markings easier to see. Such cursors can effectively double the accuracy of readings, permitting a inch slide rule to serve as well as a inch. Various other conveniences have been developed.
Carbon 14 dating
Analog—digital hybrids[ edit ] Analog computing devices are fast, digital computing devices are more versatile and accurate, so the idea is to combine the two processes for the best efficiency. An example of such hybrid elementary device is the hybrid multiplier where one input is an analog signal, the other input is a digital signal and the output is analog. It acts as an analog potentiometer upgradable digitally. This kind of hybrid technique is mainly used for fast dedicated real time computation when computing time is very critical as signal processing for radars and generally for controllers in embedded systems.
An analog computer or analogue computer is a type of computer that uses the continuously changeable aspects of physical phenomena such as electrical, mechanical, or hydraulic quantities to model the problem being solved. In contrast, digital computers represent varying quantities symbolically, as their numerical values change. As an analog computer does not use discrete values, but rather.
See Article History Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations. There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine sin , cosine cos , tangent tan , cotangent cot , secant sec , and cosecant csc.
These six trigonometric functions in relation to a right triangle are displayed in the figure. For example, the triangle contains an angle A, and the ratio of the side opposite to A and the side opposite to the right angle the hypotenuse is called the sine of A, or sin A; the other trigonometry functions are defined similarly.
These functions are properties of the angle A independent of the size of the triangle, and calculated values were tabulated for many angles before computers made trigonometry tables obsolete. Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy , mapmaking , surveying , and artillery range finding.
Problems involving angles and distances in one plane are covered in plane trigonometry.
Mind The (Train) Gap? A Look at the World Class Capacity Upgrades
History of Technology Heroes and Villains – A little light reading Here you will find a brief history of technology. Initially inspired by the development of batteries, it covers technology in general and includes some interesting little known, or long forgotten, facts as well as a few myths about the development of technology, the science behind it, the context in which it occurred and the deeds of the many personalities, eccentrics and charlatans involved. You may find the Search Engine , the Technology Timeline or the Hall of Fame quicker if you are looking for something or somebody in particular.
Scroll down and see what treasures you can discover. Background We think of a battery today as a source of portable power, but it is no exaggeration to say that the battery is one of the most important inventions in the history of mankind.
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Woolsthorpe, England, 25 December ; d. London, England, 20 March mathematics, dynamics, celestial mechanics, astronomy, optics, natural philosophy. Isaac Newton was born a posthumous child, his father having been buried the preceding 6 October. Newton was descended from yeomen on both sides: He was born prematurely, and there was considerable concern for his survival.
He later said that he could have fitted into a quart mug at birth. His early education was in the dame schools at Skillington and Stoke, beginning perhaps when he was five. He was, however, uninterested in farm chores, and absent-minded and lackadaisical. He was admitted a member of Trinity College, Cambridge, on 5 June as a subsizar, and became scholar in and Bachelor of Arts in The rooms he occupied are not known for certain; and we have no knowledge as to the subject of his thesis for the B.
A Guide to Isaac Asimov’s Essays
JEE Mathematics Syllabus Algebra Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms and their properties. Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
IM Commentary. The task requires the student to use logarithms to solve an exponential equation in the realistic context of carbon dating, important in archaeology and geology, among other places.
I remember playing it with my sister soon after receiving it and really enjoying it. Years of living alone meant that it sat on the shelf and rarely got played. Now that there’s a husband in the picture, I decided it was time I taught him to play Farkle! The game of Farkle is not super-complicated. If you buy a copy, you will likely be shocked at just how simple it is. The version I own features a cup for rolling dice that also doubles as game storage, six dice, and a set of rules in two different languages.
If you have dice in your classroom, you don’t even need to buy the game! On your turn, you will roll all six dice. Any scoring dice are set aside. If you want to keep that score, you stop.
To Jenkins’ Spoiler-Laden Guide to Isaac Asimov Introduction Though perhaps best known throughout the world for his science fiction, Isaac Asimov was also regarded as one of the great explainers of science. His essays exemplified his skill at making complex subjects understandable, and were written in an unformal style, liberally sprinkled with personal anecdotes that endeared him to a legion of faithful readers.
It was all a labor of love; in particular Asimov often remarked that of all his writing, his essays for The Magazine of Fantasy and Science Fiction were his favorite, despite the fact that he received the lowest word-rate payment for them. From November to February , an essay of his appeared in the magazine every month, without fail. With the advent of Isaac Asimov’s Science Fiction Magazine in , he began a series of editorials that appeared at the beginning of each issue.
Students solve exponential and logarithmic equations with their â dateâ in this interactive and self-checking speed dating activity.
Does it require more or less effort to push a loaded wheelbarrow over hard level ground than to turn around and pull it? What about when the ground is soft? Surely the clear lens would let the light through rather than casting a shadow? At constant velocity, is this a real effect? If so, wouldn’t it be felt on any “moving” surface you walk on, such as a train or plane — or even Earth?
Continued 31 January Pollution resolution If I replace my old diesel car with a less polluting new petrol one, how long will it take for the reduced pollution of the new car to outweigh the increased pollution caused by the manufacture of the new car and the disposal of the old, assuming average usage? It seems such a waste of energy. I read that a supermarket won an award for its two-year-matured puddings.
Construct viable arguments and critique the reasoning of others. Once students have submitted their responses I will review the answer with the class. Flipchart – solving exponenital equations with logs p. Speed Dating with Log and Exponential Equations 45 minutes Student tutors are the key to the success of this activity.
For exponential models, express as a logarithm the solution to ab ct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
Sunday, September 11, Significant Figures Speed Dating Activity My physical science students are currently working on determining the correct number of significant figures to use in different situations. The first step is for them to be able to recognize how many significant figures there are in a number. I made posters to hang up in my classroom for them and me! I decided this was the perfect topic to make into a speed dating activity.
You can find the files for my significant figures posters here. To create cards for the speed dating activity, I typed up 20 numbers into a Publisher file. I tried to include numbers written in scientific notation and numbers written in standard form. Then, I designed the file to print the correct number of significant figures on the back of the card when printed double sided.
Here are what the front of the cards looked like when I was finished. And the backs of the cards: And, I hope there weren’t any mistakes on the cards because I was sort of in a rush to get them made. I thought I would have plenty of time to get them typed and printed before school started, but I didn’t account for kids coming in to get help on making up their quizzes!
So, if you do see an error, let me know so I can fix it!
The date of the meeting has only been recently been publicised which left us wondering, perhaps erroneously, if this suggested something urgent was to be discussed. The agenda also suggested that the public and press would be barred from some of the discussion. Finally, that same agenda only features two items of significance and these are closely related. The TfL board, meanwhile, is due to meet on the 17th March.
The objective appears to be to achieve world class capacity on these lines by running trains at 36tph — which is a figure genuinely among the best achieved in the world. This is not to say that TfL intends to settle for significantly less on all other lines.
Speed is the distance traveled divided by the time of travel. For example; if you were to travel a distance of 10 miles in 2 hours time, then your average speed equals 5 miles per hour. s=d/t (s=speed, d=distance, t=time, and the / means to divide). The word velocity is very similar to speed (except velocity also has a direction called a vector) and in most cases we will now use the letter “v.
Of course, you would require more than the energy in the whole known universe in order to attain c being massive. The only thing for certain is that the speed of light appears to be constant. In fact no one yet has been able to actually prove it. Einstein would have been better of saying he thinks the speed of light is the fastest thing in the universe.
Phaedrus February 19, at 8: First of all, you have to understand, there is no such thing as an absolute speed. All motion is relative to something. Speed is a measure of how fast something is moving relative to something else.
Battery and Energy Technologies
Woolsthorpe, England, 25 December ; d. London, England, 20 March mathematics, dynamics, celestial mechanics , astronomy, optics, natural philosophy. Isaac Newton was born a posthumous child, his father having been buried the preceding 6 October. Newton was descended from yeomen on both sides: He was born prematurely, and there was considerable concern for his survival.
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Sunday, January 12, Introducing Logarithms with Foldables, War, Bingo, and Speed Dating Missing three days of school due to the snow and ice really threw off my plans for Algebra 2. I had hoped to get through logarithms before Christmas Break. We did get started with logarithms. But, I had to spend the first four days of the new semester finishing up our logarithm unit. This might have had something to do with the fact that I chose to introduce them on a day that most students thought we should have been out of school.
Many of the schools around us had already closed due to the impending arrival of Cleon. But, we were in school. And, my students wanted to have nothing to do with learning something new. Introduction to Logarithm Notes This introduction to logarithms is basically a compilation of a lot of ideas I found on the Internet.
Another memory device was stolen from Zook Tutoring. I made a booklet foldable for my students to introduce logarithms. I wanted to emphasize both converting between exponential and logarithmic form and evaluating basic logarithms.