Whilst every effort has been made in building the IRR calculator tool, we are not to be held liable for any special, incidental, indirect or consequential damages or monetary losses of any kind arising out of or in connection with the use of the calculator tools and information derived from the web site. Starting Amount - The initial value of the investment Final Amount - The value after all of the time periods OR the final Percentage Gain; Number of Years - The number of years (technically, any periods) it took to reach the final value. of Years) – 1 Annual Return = ($1,800 / $1,000) 1 / 10 – 1 Annual Return = 6.1% Use the dropdown menu to select the length of the time period in question: weeks, months, or years. Based on Principal Amount of $1000, at an interest rate of 7.5%, over 10 year(s): Total Value = $2061.03 Total Interest = $1061.03 However, when you have multiple years of data, as well as contributions and withdrawals to the portfolio during that time, using Excel to figure your returns can save you a lot of time. How to calculate the return on an investment, with examples. Calculate your earnings and more. Mortgage Calculator: What Will My Monthly Principal & Interest Payment Be? for two of the five years, and -3% p.a. This figure can then be converted into a percentage value to provide the desired results. First, subtract $2,400 from $5,000 to find you earned $2,600. To get the CAGR value for your investment, enter the starting value or initial investment amount along with the expected ending value and the number of months or years for which you want to calulate the CAGR. This free ROI calculator calculates both overall ROI and annualized ROI. Homeowners Insurance: Protect Your Investment, Travel Insurance: Protection from Your Worst Trip Nightmares, How to Pick the Best Life Insurance Policy. The average annual return on a treasury bond is around 3%, while the stock market historically has returns of between 7% and 10% per year. Compound Savings Calculator: How Much Should I Save Each Year? … This tool is here purely as a service to you, please use it at your own risk. Join 1,000+ other subscribers. In the example below, an initial investment of $50 has a 22% IRR. Last, multiply by 100. In order to determine the total percent investment return you have accrued, you will need to divided your gains or losses over the multi-year period by your initial investment. This calculator shows you how your portfolio is doing. What Is Buffett's "Big Four" Sleep-At-Night Strategy? To calculate CAGR: Enter the beginning value, ending value, and the number of periods over which your investment has grown. Calculate the annual growth rate. Excel calculates the average annual rate of return as 9.52%. Simple Savings Calculator: How Much Could I Save Up Over Time? APY Calculator is a tool which enables you to calculate the actual interest earned on an investment over a year. When expressed as a dollar value, a multi-year returns describes the amount of profit made over several years. The formula for calculating the annual growth rate is Growth Percentage Over One Year = (() −) ∗ where f is the final value, s is the starting value, and y is the number of years. Internal rate of return (IRR) The internal rate of return, or discounted cash flow rate of return (DCFROR), is another way to evaluate investment performance by taking into account the time value of money. Annualized Rate of Return. Plug all the numbers into the rate of return formula: = (($250 + $20 – $200) / $200) x 100 = 35% . This is especially true if the value of your investment has fluctuated widely during a specific time period. This free online calculator can help. Sign up for our weekly newsletter and get our most popular content delivered straight to your inbox. The time value of money is considered for both. Return-on-Investment (ROI) Calculator. Rate of Return Formula â Example #2. To figure the total percentage investment return for the entire time youâve held an investment, you need to know what you paid for the investment and how much you received from the investment through selling it. When you know the overall Growth Rate, (FV-PV)/PV, for an investment over a period of Days, you can calculate the CAGR using the formula CAGR = (1+Growth Rate)^ (365/Days)-1, where (End Value / Start Value)= (1+Growth Rate) and (1/Years)= (365/Days). When Excel is in formula mode, type in the formula. The initial amount received (or payment), the amount of subsequent receipts (or payments), and any final receipt (or payment), all play a factor in determining the return. (If the beginning value is unknown, use $1.) The best way to measure how well your investments are doing is to compare their gains or losses over a period of time as a percentage of your initial investment. We'll never sell or share your email address. If you had simply divided 80 percent by 10 years, you would have calculated a return of 8 percent per year – significantly higher than the actual 6.1 percent return. From January 1, 1971 to December 31 st 2020, the average annual compounded rate of return for the S&P 500®, including reinvestment of dividends, was approximately 10.8% (source: www.spglobal.com). Time value of your investment has fluctuated widely during a specific time.! Bank might guarantee a fixed starting Principal and/or periodic contributions has a %. Make an accurate comparison, you must calculate the actual interest earned on investment! ) and compound average growth rate displayed as a service to you, please use at!, with examples ( EAR ) from the nominal annual interest rate and the number years... 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Hey, Vsauce. Michael here. Now, one of my favorite
treats of the holiday season is Gabriel’s cake. It’s a super solid
based on Gabriel’s Horn that you can make right at home, as long as your home
is infinitely large. Okay, all right. Now, the first thing you want to do is bake a
cake. I prepared this cake earlier. It’s a real beautiful cake. It’s a little large,
but I bet you I could eat that whole thing in a day if I tried. Am I right?
Okay, now the second step is cut the cake in half. Notice that while I cut this cake in half you don’t add or create any new cake but
the surface area of the cake has increased. It used to be completely
covered and now we’ve got two regions on the inside that aren’t covered. The next
step is to cut this half, one of the halves, in half. Here we go. Again, the volume of cake on
the table is the same as it was in the beginning but the surface area is going
up. As you may be able to guess, the next step is going to be to cut one of these
quarters of the original cake in half. It’s getting pretty thin, but all you have to
do is keep this up – cutting halves in half and half and half and half forever and
once you’ve done that, well, you’re almost there. When you finish cutting, stack the
halves on top of one another in order, like this, to create a beautiful tiered
dessert. Because you have an infinite number of thinner and thinner slices
when you’re done stacking them the cake’s vertical height will be endless.
Such a cake has an interesting mathematical property. Its volume, the
amount of cake it contains, is clearly no different than the amount you started
with, but its surface area is infinite. It’s a cake you can eat but not frost.
You would need an infinite amount of frosting to cover the whole thing with a uniform
coat. An object with finite volume but infinite surface area doesn’t need to
be endlessly tall, by the way. There are bounded super solids, like this cube,
with an infinite number of smaller and smaller circular holes.
Of course, building these objects in the real world comes with some obvious difficulties.
One is the fact that the amount of steps required to complete the construction of
Gabriel’s cake or any other super solid is literally infinitely many.
And infinity isn’t a number that, you know, you eventually get to.
It means unending. There will always be a next step, another piece to slice in half again.
By definition, an infinite sequence of tasks has no last task. So you could never
finish making a super solid. Or could you? Enter the Supertask. What if instead of taking the same
amount of time to complete each step we accelerated as we worked and did each
step in half the time as the last? For example, let’s say you wanna make
Gabriel’s cake in just two minutes. That’s easy. First, cut the original
cake in half and then wait a minute before making the second cut. Wait half a minute before making the third, a quarter of a minute before the 4th and so on.
Always waiting for half of what’s left to pass before cutting again. Since you can keep
dividing in half forever, there will always be another step. Infinite actions
within a finite amount of time is a supertask. The strange thing, of course,
is that while supertasking no matter how many steps you’ve already completed
there will always be an infinite amount of steps ahead. But yet, when time’s up,
you will have finished all of them. What we’ve just described is similar to Zeno’s
famous paradox of the dichotomy in which the Greek hero Achilles runs a short race
that he can clearly finish, I mean, people finish races all the time,
but how exactly it’s finished is a mystery. Because first Achilles must
cover half of the race’s distance and then half of what’s left and half again
and again and again. Since there will always be another half way point to
reach, the number of subdivisions infinite, there is no final destination,
after which Achilles’ next stop is the finish line. But yet Achilles obviously can finish.
He somehow reaches them all despite the fact that during his journey he always
has an infinite number of steps left to reach. Think about it this way.
What if at each half way step along the way Achilles is required to hold up a flag.
At even steps a blue flag and at odd steps a red flag. Blue, red, blue, red,
blue, red, the flags will alternate faster and faster. But when Achilles finishes
the race, which flag will he be holding up? To be holding up either flag would
seem to suggest that a largest number not only exists, but is either even or
odd. Now, to this it is often suggested that the real problem here is that Achilles
isn’t actually doing infinitely many things.
He’s just taking a few strides or whatever. A true supertask requires doing
infinitely many distinct actions. Fair enough. But even if Achilles ran the
race in a staccato fashion, stopping at each half way point for half as long as he waited
to the last one, the scenario would still be sensical and logical and would
complete in a finite amount of time. It has even been shown how a staccato
runner could move to avoid discontinuous velocities and accelerations.
The point is, fine, infinite distinct actions are at least
logically possible to do in a finite amount of time, but only logically.
Only as a mathematical abstraction. Supertasks are obviously just products of our
imagination. Because in the real world there must be some smallest amount of
space and/or time that cannot be meaningfully divided in half again.
Once you’re within one of these distances of the finish line, the only possible next position you can have is the finish line. That certainly seems fair.
After all, it’s believed that in reality there is a smallest meaningful distance – the Planck length. Any interactions between or observations of particles
more accurate than this span make no sense within physics as we understand it
today. And the time it would take to travel a Planck length at the fastest
speed possible, the speed of light, is the Planck time. So these seem to be the
briefest pieces of space and time any known force in the universe could act
across. Whether that force is gravity or a force from Achilles’ leg muscles.
But does that resolve the crisis or is it just a way of avoiding the problem
altogether by saying “it doesn’t matter, because it won’t be on the test?”
As John Earman has complained, it seems to me unattractive to make the truth of
mathematical statements depend on the contingencies of space-time structure.
Maybe Zeno’s dichotomy tells us less about motion and time and space and truth
than it does about our impressive abilities to confuse ourselves.
And that’s what makes supertasks important. They’re a contact point in uneasy
handshake of sorts between the universe we live in and the brains inside us.
Let’s play around with some. They’re not all the same. Some converge, like Zeno’s dichotomy,
others converge but in ways you may not expect and still others refuse to
cooperate in any way. They diverge. A great example of a supertask whose
behavior diverges is Thomson’s lamp, a famous supertask devised by James F. Thomson. Imagine a lamp that can be turned on and
off as quickly as you desire. What would happen if you turned such a lamp on and
off Zenoianly? Well, let’s find out. Just set a timer and turn the lamp on. Then wait
one minute and turn it off. After half a minute turn it back on and then off
again after a quarter of a minute, on again after an eighth of a minute and so on. Waiting half as long to flip the switch
each time as you previously did. Now, as the number of switching grows without bound,
the total time elapsed approaches just two minutes. The lamp will be turned on
and off an infinite number of times in just two minutes.
So after two minutes, will the lamp be on or off? Well, by the definition of infinity,
there is no last step. There is never a switching not followed by another.
So the lamp can’t be on, because whenever it’s turned on, it is immediately turned off
in the next step and it can’t be off because whenever it’s turned off it’s
turned on right afterwards. What’s the answer? It’s easy to say something about
a supertask when its partial sums converge, but when they just oscillate back
and forth forever… Hmmmm… Zeno objects do this. Imagine building a meter
high cube. As with all supertasks, you construct at an accelerated pace.
First, you put down a green half metre tall slab, then a quarter metre tall slab that’s
orange, then a green eight metre slab, then an orange 16th meter slab and so on,
until there are infinitely many layers of alternating color. Now, when you look at the cube from above, what color will you see? Orange, green? Well, it can’t be orange
because every orange layer is covered by a green one. And it can’t be green
because every green layer is blocked by an orange one above it. What if we had a
machine display each digit of Pi in order at a supertask pace? After its
finite runtime, what would be on the screen?
The last digit of Pi? Well, that’s impossible, right? But how could it be anything else? A supertask allows us to exhaust an infinite sequence. Paul Benacerraf delivered what is often considered the
best response to these confusions. Is Thomson’s lamp on or off? Is the cube orange or green? The answer
is we don’t know, because these questions are incomplete. Thomson’s lamp could be
on or off or broken. The cube could appear orange or green or something else.
But the supertasks, as stated, don’t let us figure out which. I may as well ask
you if a lamp hidden in a locked room is on or off. It’s definitely one or the other,
but I haven’t given you enough information to do anything but guess. Supertasks like
these describe an endless sequence of tasks and then ask us about the end.
But we can’t determine an outcome because, although there may be an end to their
duration, there is no end, no final member of their actions.
They must be reworded or coupled with extra assumptions in order to be solved.
For example, if we assume that the switch used on Thomson’s lamp can only be all
the way on or all the way off, we can’t determine where it is after the supertask.
But if the switch is, say, a bouncing ball that completes the circuit
turning the lamp on each time it bounces on a metal plate, an outcome can be
determined. If the physics here are ideal and the ball bounces half as high and
half the time as it did on the previous balance, its sequence of
bounce heights will turn the lamp on and off an infinite number of times in a
finite amount of time. Although this bouncing ball has no penultimate state,
no second-to-last bounce, it does have an ultimate state, a final one, resting on the plate. The circuit will be
complete and the lamp will be on. You can also describe a switch on Thomson’s lamp that leaves it off. Sometimes, the next state after infinitely many isn’t
paradoxical because of lack of information, but because of a surprising,
or non-intuitive, discontinuity that occurs there. The Ross–Littlewood paradox
is one of the greatest examples. Imagine a giant urn that can hold an unlimited
number of balls. Now, imagine that you have an unlimited supply of balls, each
with a unique natural number written on it. All natural numbers, in fact, since
there’s no end to how many balls you have. Now, working at an accelerated Zenoian pace you move the balls to the urn 10 at a time, but in a weird way. At step one, you place
balls number 1 to 10 in the urn, but remove number 1. At step two, a minute
later, you place balls 11 to 20 in the urn and remove ball number 2. At step three,
you place balls 21 to 30 in the urn and remove ball 3, and so on. Upon the completion of the supertask
how many balls will be in the urn? At first the answer seems obvious. At each
step you are adding 10 balls and subtracting 1, so a net of nine balls
is added each time. 9 + 9 + 9 + 9 forever, the series grows without end. Infinite nine’s means infinite balls at
the end. But here’s the problem. At each step, the ball with that step’s number
written on it is removed. Ball 1 is removed at step one, ball 2 was removed
at step two, ball 12-googol is removed at step twelve-googol. Since there are an
endless number of steps for any ball number, there is a step number at which
it is removed. So although the urn’s ball population grows without bound during
the task, after the supertask the number drops to 0. It gets weirder. Here’s a second, seemingly identical
method. Instead of beginning with balls 1 to 10 and then removing 1, begin with
balls 1 to 9. Then write zero after the “1” on ball 1. For step two, add balls 11 to 19 and draw a zero on ball 2, making it say 20. For every finite step, both methods
results in identical earned contents, but after infinitely many steps, the first
leaves us with no balls and the second leaves us with infinitely many balls
written on which are all the natural numbers, each followed by an infinite
string of zeros. Both are discontinuous at infinity, but dang, in very different ways.
The bigger question now becomes, “so what? Who cares?” You will never have an
infinite number of balls and you will never have a large enough to urn to
hold all of them. You will never build a lamp that can turn on and off arbitrarily fast. We cannot investigate
time or space past a certain smallness, except when pretending, so what are supertasks, but recreational fictions, entertaining riddles? We can ask more
questions than we can answer, so what? Well, here’s what. Neanderthals. Neanderthals and humans, us,
Homo sapiens, lived together in Europe for at least five thousand years.
Neanderthals were strong and clever, they may have even intentionally buried their
dead, but for hundreds of thousands of years, Neanderthals barely went anywhere. They pretty much just explored
and spread until they reached water or some other obstacle and then stopped.
Homo sapiens, on the other hand, didn’t do that. They did things that make no sense
crossing terrain and water without knowing what lay ahead. Svante Pääbo has
worked on the Neanderthal genome at the Max Planck Institute for Evolutionary Anthropology
and he points out that technology alone didn’t allow humans to go to
Madagascar, to Australia. Neanderthals built boats too. Instead, he says, there’s
“some madness there. How many people must have sailed out and vanished on the
Pacific before you found Easter Island? I mean, it’s ridiculous. And why do you do
that? Is it for the glory? For immortality? For curiosity? And now we go to Mars. We
never stop.” It’s ridiculous, foolish, maybe? But it was the Neanderthals who went
extinct, not the humans. Maybe it’s only a fool who will perilously journey out to
what might not be there. And maybe it’s only a fool who will ask about supertasks,
about infinity. But if you want to solve problems, you don’t just solve the
ones that are there, you find more and make more and go after the impossible
ones; fostering a love and obsession with problems is how you solve problems. Antoine de Saint-Exupéry wasn’t a
mathematician, but his advice fits nicely here. If you want to build a
ship, don’t drum up people to collect wood and don’t assign them tasks and work,
but rather teach them to long for the endless immensity of the sea. And as always, thanks for watching. Supertasks are cool, but super gifts are
even cooler. That’s why I’m excited to announce this year’s Vsauce holiday
box. This thing comes loaded with exclusive Vsauce stuff and science gear,
plus all Vsauce proceeds go directly to Alzheimer’s research. I’m really proud of
this box. You can pick one up at geekfuel.com/Vsauce,
link down in the description. There’s a limited amount available, so
don’t hesitate. And as always, thanks for watching.


Thursday, May 14, 2015
Make sure you have memorized the following formulas:
Standard Form of a Linear Equation
If you memorize the above formulas and are able to understand and do all of the problems that were assigned for the Chapter 3 Review and the Chapter 3 Test, you will be well-prepared for Friday's test.
Monday, May 11, 2015
May 11, 2015 • Due Tue at 9:30 a.m.
Set 3 Review • pp. 155-157
#1-10, 20-21, 27-33, 36-38
You will have some time in class to finish this up, but not a lot. So finish the assignment on Monday, and bring your questions to class, and you will have time to work those out.


State Board of Education Weighs Review of Math and English Standards
Dozens of people showed up to the State Board of Education meeting Thursday morning. They came to weigh in on a proposal to reevaluate the state standards on math and English.
Board members heard from parents, teachers, and business leaders on a request made by Education Commissioner Frank Edelblut to reevaluate the state standards in math and English. These standards define what students should know, and help shape what actually gets taught in the classroom.
John DePetro was among those in favor of a review.
“My question is: if it’s important to assess our kids, shouldn’t it be at least as important to assess our assessment standards?”
Those opposed to a review said the current standards are working and that a review is a costly process that would divert resources from more pressing priorities.
An earlier request made by Edelblut to review the state science standards was voted down by the board of education.


This week in math we have been working on adding numbers that have a sum less than 1000. In the old days, we used to be content with students showing us the traditional way of finding an answer. Being a thinker in the 21st century requires much more creativity and brain power. Not only did the kids have to show me the traditional way of getting an answer but they had to prove 3 other ways that worked as well. While all the kids did a great job tackling this new found thinking, my friend Amelia just made me smile when she looked across the table at me and said “Hey Mrs. Sikma, look at Amelia’s Way”! Not only did she explain her thinking to me, she also was able to catch her own accuracy error and fix it (Yeah for successes and failures in Room 32!). Thanks for thinking Amelia!


Today at Shevington High School we have been celebrating National Pi Day. This day falls on Monday 14th March 2016, which is also Albert Einstein’s birthday.
Matthew Roberts said, ‘’I already knew pi to 20 decimal places; 3.14159265358979323846 but have learnt that pi is a character from the Greek alphabet. The Greeks discovered pi, I did not know this until today. My dad knows pi to 50 decimal places.’’.
William Birchall commented,nclThids is ‘’Today I have learnt the digits of pi to 8 decimal places 3.14159265. We created our own pi characters, then the whole of Year 7 went outside and stood in the formation of the symbol pi.’’.
A special happy birthday to Cory, Daniel and Filippo who were born on March 14th!


Ava Chatterjee Co-presenter at the 2018 Illinois Math and Science Conference
Humanities, History, and Social Sciences Associate Professor Ava Chatterjee was a co-presenter at the 2018 Illinois Math and Science Conference. Chatterjee, with Lisa J. Bernstein, presented Coaching for Instructional Change, which discussed encouraging K-5 teachers to make the instructional shifts required of the Common Core math standards.
The 2018 Illinois Math and Science Conference was jointly sponsored with the Illinois Council for Teachers of Mathematics (ICTM). This partnership allows ISTA and ICTM to provide an expanded program while promoting the need to support the integrated construction of knowledge.
- Dance and Cultural Studies Alum Brianna Heath '17 on the Importance of Listening to Your Genuine Self
- Pinball Wizard Jessica Durbala '21 Launches Her First Game
- Art History Assistant Professor Onur Öztürk on Architecture, Decolonization, and Our Intertwined World
- Alum Mary Kate Ashe '19 Promotes Accessibility at SXSW
- SXSW: Columbia College Chicago Students Experience the Ultimate Field Trip


If the blocks could be revised, then a malicious buyer might be able to retract a transaction and the person that they paid could lose the money that they were owed.Unlike traditional currencies such as dollars, bitcoins are issued and.The hashing function is a signature that asserts how much energy was burned by the miner.
Bitcoin is the currency of the Internet: a distributed, worldwide, decentralized digital money.Hash functions for Bitcoin applications Installation. npm install bitcoin-hash. Example. var hash.Hash functions have a few key properties that make them ideal for the Bitcoin math problem.SHA-256 is the hashing algorithm used behind Bitcoin, a cryptographic currency.
Macs and PC are certainly capable of computing hash functions, but are too slow compared to specialized mining hardware that is now available.A function that can map any data of arbitrary size to some data of fixed size is called a hash function.Each new block in the block chain has an associated math problem that is inherently difficult to solve.It is constantly growing with new transactions and is broken into units called blocks.
Instead, miners must work to guess a solution with trial and error: They guess a solution, test if it works, and then test another solution, until they find a valid solution.Bitcoin uses a cryptographic hash function SHA-256 for encryption.Specifically, it measures the number of times a hash function can be computed per sec.For better results, experienced miners invest in higher computing power.So this is just question of time when sort of collisions will be available also for hash function used in bitcoin.
Blockchain and Bitcoin Fundamentals | UdemyBitcoin Developer Examples. Now we use the hash function template to run a slightly different hash function for nHashFuncs times.A cryptographic hash function takes a block of input data and.
A statement of a new complex mathematical problem to be solved for the miners.In the example above, SHA-1 is an algorithm with 160 bits, i.e. with 160 positions that can be either 0 or 1.How does the hash function work in the world of Bitcoin mining.Some other hashing algorithms that are used for proof-of-work include scrypt, Blake-256,.In the week 1 lecture of the bitcoin coursera course, there is a discussion of the 3 properties of a cryptographic hash functions: Collision-resistance: A hash.These nodes are really just servers - computers plugged into the Internet - which are running Bitcoin software.If the hash function is of the cryptographic variety, it is very difficult, if not practically impossible, to infer the original input, given only the output.
The lower y is in value, the harder the problem is to solve because there is a smaller solution space.For the first time ever, anyone can send or receive any amount of money with anyone.Over the course of the inception of Bitcoin to the current state.According to some sites, hash algorithm turns an arbitrarily-large amount of data into a fixed-length hash.CryptographyA hash is a function which transforms any number or string into a fixed size output which is impossible to do in reverse without trying all.Learn what a hash function does and how it is used in bitcoin and blockchains in general.
Bitcoin is a cryptocurrency that is based on the proof-of-work system. The different hashing functions were adopted to answer concerns with the SHA-256.Mining was discussed in the previous blog post, which can be found here.This article begins to explain how Bitcoin functions so seamlessly.
Blake2s hashing - example: TAJCOIN - CoinJoker
Bitcoin Demystified: Math vs. Government | HuffPostIn the bitcoin convention, hash capacities are a piece of the square hashing calculation which is utilized to compose new exchanges into the blockchain through the.
Bitcoin Mining Pool Hash Rate Distribution Bitcoin Mining Pool Options.The specific hash function used for bitcoin mining is SHA256 applied twice.The ledger is referred to as the block chain because it is a linear, chronological ordering of these blocks.
The addresses serve basically the same function as a common bank account number, however, there are significant differences to bank account numbers, which generally do not change between transactions.If you run the same information through the hashing function,.A hash function is any algorithm that maps data of arbitrary length to data of a fixed length.


Tuesday, September 16, 2014 - 12:00pm to 1:30pm
Humphrey School of Public Affairs
Michele Mazzocco, Professor, Institute of Child Development; and Research Director, Center for Early Education and Development, UMN
Dr. Mazzocco is an experimental psychologist and former classroom teacher, whose research interests focus primarily on cognitive development in early childhood. She has been particularly interested in the development of numeracy skills and how these and other cognitive skills affect and predict long-term mathematics achievement outcomes.
This presentation will include key findings from Michele's completed longitudinal study on the cognitive correlates of mathematics achievement from Grades K to 12, and preliminary findings from her research on young children's early number concepts.


Louiza Papachristodoulou and Stjepan Picek joined the project as PhD students in September 1, 2013.
Louiza will start with metrics and higher order attacks while Stjepan focuses on parameters for fault injection.
About Louiza and Stjepan:
Louiza studied applied mathematical and physical sciences in National Technical University of Athens (NTUA) with specialization in the fields of combinatorial set theory and theoretical computer science. In 2008, she joined the Kerckhoffs Institute for Computer Security and she conducted her master thesis in the field of secure multi-party computations as an intern at Philips Research Eindhoven. Since 2010 she works as a cryptographer in Compumatica secure networks. Her research interests are in curve- and lattice-based cryptosystems.
Stjepan obtained his MSc degree with major in Automation and Mechatronics, Faculty of Engineering, University of Rijeka, Croatia in 2007. He started a part-time PhD study in the field of Computer Science, Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia in 2008. His areas of interest are cryptography and evolutionary computation. Currently, he is interested in combining cryptography with evolutionary computation methods. In addition to that, he worked for the last 6 years in the IT industry.


Ontario announced a new math curriculum that will be launched this September for grade 9 students, which replaces the applied and academic math streams and teaches students more real-life applications to math.
All students of classes 1-9 will now learn the same maths curriculum and education ministry officials say it will be one that makes arithmetic more relevant to everyday scenarios such as learning how to plan a budget, how a down payment works does and learning about movement. Share Market.
Officials say, for example, when students are being taught about graphs, they will learn to apply it to reading a cell phone plan. This would be applied to the motion of planes and skateboards when learning about speed, and data lessons could be applied to sports statistics.
Computer coding will also be compulsory and students will learn about the cultural origins of mathematics.
Last July Premier Doug Ford announced his government’s plan to phase out grade 9 educational streaming starting this fall.
Critics argued that the streaming process disproportionately affected racial and low-income students. Ontario is the only province that divides students into applied streams or academic tracks as they enter high school.
Ministry officials say lessons on how to teach the new curriculum for teachers will begin immediately and will continue in the coming school year.
Officials said that no decision has been taken yet on what will happen to the Class 10 maths syllabus.


Which one of these multiplication games for 3rd grade printable, 4th grade, and 5th grade students will you try frist. You’ll also find math games that are cool with fractions, integers, estimation, and much more. Students’ struggle with multiplication is often attributed to a lack of adequate practice. In this game, kids must match like numbers to build teams of three. The free download at the end of this post. Compare the addition, subtraction and https://multiplication-games.org/ multiplication equations by using the greater than, less than or equals to signs. Let your students play UNO, and as they lay their card down they have to multiply it with the top card on the pile. Teachers, parents, and students alike enjoy using the I Know It math program alongside their classroom math curriculum for extra, interactive math practice. In The Battle of Factors, kids are challenged to shoot the battleship with their mouse, of course. Com dance math typing. So get kids started on fun online multiplication games and watch the magic. There are three levels of difficulty. Compare numbers to get your tank safely through the minefield. Filed Under: All Ages, Classroom strategies, Free Printables, Interactive Worksheet, Math Games Tagged With: elementary, homeschool, math games, mental math, rich math task. Students enjoy math practice time because our program is engaging and exciting. The student must match missing letters to the correct word coconut. See how far you can help them get while practicing your multiplication facts. Experience our third grade math curriculum for yourself with this FREE 1 day lesson on multiplication. This complete, done for you lesson is easy to implement, effective and engaging. Format: Printable Activity. This is a great way to engage students and quickly improve fact fluency.
The Legend of Multiplico A Multiplication and Division Adventure Game. Most of the games will also help develop children’s logic and strategic thinking skills at the same time as well as being fun. Missing Factor Task Cards. I want this fun though, not boring and monotonous. Grand Prix Multiplication is a multiplayer math game that allows students from anywhere in the world to race against each other while practicing their multiplication facts. This game is easier than many others on this list, since students have a 50/50 chance of getting the correct answer. Quick fire questions on number bonds, times tables, division facts, doubling and halving numbers against the clock. Chess The most challenging game of all. Older kids may enjoy the games, but they won’t have as much sticking power.
Your kids will learn the times tables. Finally, indicate whether or not to allow negative numbers. The parents from this town decided that it was too easy getting the candy at the door, so they made an obstacle course around the neighborhood. We want you to be a part of it. 60 for the WHOLE YEAR. ” Choose from: 3 x 2, 1 x 2, 1 x 1, and 3 x 1. Sketch lives in a wonderful world drawn on notebook paper. Round numbers to get your tank safely through the minefield. This post contains affiliate links. Zone is a strategic game where students have to find two cards with a product that is in the “zone. There are more of our multiplication games. Various modes to choose from such as time mode or untimed mode. These games are just one of the packs you’ll find in our No Prep Math Games series. Shoot Decimal snowballs at the Snow Noids to keep them from taking over MathPup’s fort. Visit to get started. Teachers, schools, homeschoolers and other edu programs can register for the 2018 Arcademics Cup until Wednesday, Jan. The player does this by coloring a rectangular array of squares and writing the product on the squares. Must be 18 years old to sign up. Add two numbers using the mental math skill of partitioning. Tip: If students are struggling, encourage them to write the equation on the board to help them find the answer. Help MathPup choose the tollgate that contains a factor of the target number. Visit the website now to get started. Games in grade three include multiplication, division, shapes recognition and fractions. With clickable links, you’ll have no trouble getting students just where they need to go. Practice addition, subtraction, multiplication, and division with free to improve your mental maths skills and have fun at the same time. Thank you for understanding. If the student gets the answer correct, he moves the number of spaces that are shown on the die. All tables up to 12×12.
Kahoot is a timed online game that’s great for review sessions. Students will be able to answer 25 total questions per day across all math lessons on I Know It. Check these online 3rd Grade Math games. Get ready to play some fun and interactive multiplication games. Questions increase in difficulty depending on accuracy. A landmark in every child’s math education, multiplication tables are the foundation on which advanced concepts are taught in school. Seriously, there’s just something about rolling the giant foam dice that my kids love. Have your students do 100 facts for free use the operator buttons above for the Lite version and print their results. Electus Education’s Life Hub partnership. Multiplication games are a great way to incorporate game based learning into material, helping students understand their times tables and multiplication lessons. This game invites students to estimate products of two two digit numbers. In all problems, students can correct incorrect results several times. The best part of this game is that it can be played with laminated personal hundreds charts in small groups. Each player picks a card to determine the order of play. Arrays are a popular way to teach multiplication skills, and this is a fun activity that uses the concept. Save the examples below to use later, or let them inspire you to create your own math games. I can say that a lot of them are in a multiplayer racing format or tug of war format. Written by Laney Kennedy. I am so excited about some new math fact games that I can introduce to my students. If you cannot donate/tip, you can still help. The mutliplication games included in this free pack are. Have fun with the funny polar bears in their Winter Snowball Fight. Have students create a key of these card values and meanings to help them remember the rules while the game is still new. Fire at the correct problem to save your blaster from destruction. © JoGeniiPowered by Shopify.
Lattice Multiplication: If you haven’t done lattice multiplication yet, you are gonna enjoy this. Pros: Appropriate leveling, virtual rewards, and enthusiastic feedback boost learning. Fill out the form located at the bottom of this post to receive the free printables. If you roll a number for a row that has been completed, then you lose a turn. Help the lunch lady serve all of the hungry little aliens exactly what they want. These websites have free games and activities that cover all four operations. It’s your job to make sure each member of the factor family is seated at the correct table, or, you’ll hear it from them. Search no further, because our 4th grade math practice games and worksheets pdf are full of numerous benefits and surprising facts, justifying how can maths games for grade 4 online and worksheets practice promote math love and fast understanding to 4th graders. The company is coming up with new games and game engines to cover more content. The granularities of tennis are small perhaps four square inches over more than a thousand square feet of court, speeds of up to 100 miles per hour, and contact times of a few milliseconds. Participated in the free contest this past year, and in 2021, elementary students have the opportunity to win prizes including Nintendo Switch Lites and classroom pizza parties. Fantastic for improving your mental maths. These no prep math games are super simple. You can improve your four operations skills, practical skills and quick answer skills and have fun by this game. Broken CalculatorOnce kids have basic addition, subtraction, and multiplication skills down, they need to learn how to use those skills in a more advanced way. We prefer to think of our multiplication and division playlist as games that are enhanced by the inclusion of math in them. Grand Prix Multiplication aveH355/arcademics cheats/blob/main/scripts/grand prix. You can create this eye catching, interactive classroom display with a few simple, easy to find materials. Students can combine this idea with the game board idea above to play partner games like Tic Tac Toe, War, or Go Fish using dice and dominos. Multiples Game – Practice finding the multiples of 2 12 on the Smartboard in this game. That’s where our list of learning apps comes in. I started sifting through all of my first grade binders I know we all still have our lesson plans from our student teaching, so let’s stop pretending to be surprised that I have my binders from last year. Practice your math facts with these flashcards. I’m a student studying commerce at Queen’s University in Ontario, Canada. Compare numbers to get your tank safely through the minefield. Answer the maths questions and then collect as much candy as you can for Angry Andy. Get five in a row correct to play the bonus game.
Unlike other gamification solution providers that offer story based learning and flashcards, Arcademics offers educational video games that optimize the learning process and provide teachers with adequate data points to examine students’ progress. When a round of a game is complete, kids earn a reward. Having apps that help focus on math fact fluency are essential in our homeschool. These websites have free games and activities that cover all four operations. Then re test yourself and see if you can improve your score. Download the app through the App Store or through Google Play. Another option for repeated game play is to print on white or color cardstock and laminate for durability. Access all videos and games in the Standards Collection. Etsy is no longer supporting older versions of your web browser in order to ensure that user data remains secure. This amazing app is SO great. On each challenge, the “starting number” is left blank, so you or your kids can pick a new number each time. Answer questions as quickly as possible for a steady shot. Please enter your email address below.
Free to play, priceless for learning multiplication. Teacher sets tables manually or sets Automatic Training Mode on. Natasha is super busy over at the Candy Apple Factory and could really use your help. Today I wanted to share my favorite websites for digital math fact practice. Don’t miss out on this free opportunity for your students to win prizes for doing. We are still working on converting them. Using games is a great way to learn your Money facts. Because there are only two students working together, both students are working, and none are left out. The traditional Common Core math provides guidelines for grade specific concepts, but it’s up to individual school districts to implement a curriculum that’s in line with the standards. This concept can also be reimagined a bit as a division game for students learning long division. If you love Fun4theBrain, go to the contact page and let me know what you like about it. Repeat steps 1 5 with a new game. In The Battle of Factors, kids are challenged to shoot the battleship with their mouse, of course. You can easily make it more engaging and exciting when you add simple games and activities. You can pay me through paypal,paytm,upi etc. Who’s for a quick game of cards. The Rainbow Multiplication Game includes 2 custom dice. Concepts include number lines, fraction addition and subtraction, and more. Wow Jamie your ideas are super fun thank you so much for sharing these. Written by Rebecca Reid. This is OK with small numbers, however, it can cause difficulties down the road when students begin to add larger numbers mentally. Take your time or choose the timed version for more of a challenge. Add technology into your lessons and build upon class material with these free online multiplication learning games for students. The developer, PRIVET LIMITED, indicated that the app’s privacy practices may include handling of data as described below. Download the collection of our best math worksheets for Grade 1 5.
Start off with just a few items and help grow Caveman Cafe’s menu with all sorts of prehistoric yummies. They always want to play again if I win the round. The harder sheet contains the 6,7,8 and 9 times tables. Zombies are attacking your lands. Chess The most challenging game of all. With the help of these educational games, you can do some extra exercises to learn all the multiplication tables well. You could turn this into a game between partners. Students will get immediate feedback, often as a percentage or a letter grade. Practise quick recall of addition, subtraction and multiplication facts. 95 downloadmaterials/njtwt details. Please read my disclosure statement. Other Important Information. If so, please feel free to contact us. This can mean scrambling to find different resources to fit the needs of your students. More than 12,000 students around the U. They always want to play again if I win the round.


Advancement made in the field of technology has also improved tutoring services. Nowadays, there are more and more students going for online tutoring services and this is the reason why these programs have gained huge popularity. In-home one-on-one tutoring programs are also readily available aiding to the development of the students in this modern era. Tutors now bring laptops to the sessions which has given them the flexibility of looking for answers to the questions of students that they might not know. They even use their laptops for showing examples to the students very easily. Wi-Fi technology has been of great help for students as it allows them to study in a more ergonomic and comfortable setting.
The Introduction of New Education Software has been of Great Help
Introduction of several online educational software programs has been of great help for the students. Mathematical software allows students to carry out algebra computations very easily. Numerical computations have also become easy for the students with the use numerical software. There are online software programs allowing students to submit their mathematical projects online and even get instant feedback. Large scopes of employment have also been created for students due to the development of technology.


«Mathematics is the language in which God has written the universe.» Galileo
Mathematising the world has been the initiative which enabled science to understand and gain some power on it. Mathematics keeps amazing physicists by its power of prediction! Many physical laws have been discovered by applying a mathematical tool which was created by a mathematician only to satisfy his own logic. As if the intimate fabric of the universe was mathematical!
Max Tegmark gathered his reflexions in his book: “The Mathematical Universe Hypothesis: My quest for the ultimate nature of reality.” (2014).
«If my life as a physicist has taught anything at all, it’s that Plato was right: modern physics has made abundantly clear that the ultimate nature of reality isn’t what it seems.»
And Tegmark: the son of a mathematician and physicist himself, continues:
«Our reality isn’t just described by mathematics – it is mathematics, in a very specific sense.»
«At the bottom level, reality is a mathematical structure, so its parts have no intrinsic properties at all! In other words, the Mathematical Universe Hypothesis implies that we live in a relational reality, in the sense that the properties of the world around us stem not from properties of its ultimate building blocks, but from the relations between these building blocks.»
In this important and entertaining book Tegmark applies very fruitfully his experience as a teacher at MIT. He knows how to present a question and what will illustrate the answer in the best way.
As an example here is how he explains the crucial discoveries in the 1920s that the universe is expanding. He asks to imagine oneself giving a lecture and discovering that the attendees sitting just in the first row are all very old. And the further one looks, the younger the attendees are! With babies laying at the farthest seats! Just in front of a black void! That’s how our universe looks like when we look for galaxies: the farthest they are, the younger!
Everyone fond of astronomy knows this of course, but it’s rare to find an illustration that speaks as much to the imagination! And Tegmark’s book is full of such nice findings.
He presents the findings of “the precision cosmology” to show how it “highlight the mysterious utility of mathematics for understanding our world.” Then he expands the concepts laid by the inflation model of the universe and Quantum Mechanics to define different levels of Multiverses. Tegmark suggests that “Fine-tuning is arguable evidence for the Level II Multiverse“. I.e. that the explanation behind the astounding fine-tuning of the 32 constants that make our Universe suitable for life and intelligence is that there are an infinity of these, each with different values for these constants and that we live in the only one that, by chance, have the good values!
Level III Multiverses are Hugh Everett’s ones. Here again, Tegmark illustrates the Many Worlds hypothesis in new and clear illustrations.
Information is introduced and its importance emphasized. “The quantum weirdness doesn’t go away, it just gets censored” (about the difference between microphysics and macrophysics). Or “I concluded that quantum mechanics requires secrecy: an object can only be found in two places at once in quantum superposition as long as its position is kept secret from the rest of the world.” “Quantum observation isn’t about consciousness, but simply about the transfer of information.“
The last part of the book describes the M.U.H or Mathematical Universe Hypothesis.
The M.U.H implies that we live in a relational reality, in the sense that the properties of the world around us stems not from properties of its ultimate building blocks, but from the relation between these building blocks.”
Strangely, Tegmark doesn’t “bet on a computable universe.” Even if all his work seems to point towards Simulism!
So the universe would be a structure, a purely mathematical object, thus a set of informations, which is compatible with Simulism.


- Numerical Python by Robert Johansson shows you how to leverage the numerical and mathematical modules in Python and its Standard Library.
- It covers the popular open source numerical Python packages like NumPy, FiPy, Pillow, matplotlib and more.
- Applications include those from business management, big data/cloud computing, financial engineering and games.
Buy this book
- eBook $39.99
price for USA
- ISBN 978-1-4842-0553-2
- Digitally watermarked, DRM-free
- Included format: PDF, EPUB
- ebooks can be used on all reading devices
- Immediate eBook download after purchase
- About this book
Numerical Python by Robert Johansson shows you how to leverage the numerical and mathematical modules in Python and its Standard Library as well as popular open source numerical Python packages like NumPy, FiPy, matplotlib and more to numerically compute solutions and mathematically model applications in a number of areas like big data, cloud computing, financial engineering, business management and more.
After reading and using this book, you'll get some takeaway case study examples of applications that can be found in areas like business management, big data/cloud computing, financial engineering (i.e., options trading investment alternatives), and even games.
Up until very recently, Python was mostly regarded as just a web scripting language. Well, computational scientists and engineers have recently discovered the flexibility and power of Python to do more. Big data analytics and cloud computing programmers are seeing Python's immense use. Financial engineers are also now employing Python in their work. Python seems to be evolving as a language that can even rival C++, Fortran, and Pascal/Delphi for numerical and mathematical computations.
- About the authors
Robert Johansson is a numerical Python expert, computational scientist. He has experience with SciPy, NumPy and works on QuTiP, an open-source python framework for simulating the dynamics of quantum systems.
“Python’s numerical and mathematical modules aren’t just appreciated by coders working in the sciences … . It is for these fields that Johansson has written this detailed guide. … Johansson helps you brush up on problem solving, mathematics, algorithms, data, and even serialisation. … The book is a valuable reference across many fields.” (The MagPi, Issue 43, March, 2016)
- Table of contents (20 chapters)
Introduction to Computing with Python
Vectors, Matrices, and Multidimensional Arrays
Plotting and Visualization
Table of contents (20 chapters)
- Bibliographic Information
- Book Title
- Numerical Python
- Book Subtitle
- A Practical Techniques Approach for Industry
- Robert Johansson
- Copyright Holder
- Robert Johansson
- eBook ISBN
- Edition Number
- Number of Pages
- XXII, 487
- Number of Illustrations
- 54 illustrations in colour


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To avoid any errors in your work, start a new line every time you make a step in solving the problem. They are regulated and they make sure that all of the information is correct. However, you should only combine those variables that are alike.
The advantage is there is an order for solving these problems efficiently. The use of negative numbers in algebra is a norm. The most challenging part of solving an algebraic equation to a beginner is how to start.
The primary goal of solving an algebraic problem is to find the value of the variable. These sites are made for you to get educational information from. To make your work easy, think the variable as an unknown number that you are striving to find.
Variables are those characters that are symbols and letters. Before learning any algebra, get to know the necessary mathematical skills like addition, subtraction and multiplication, and division. How do you clean a unit after a tenant moves out? Many landlords will call the usual cleaning guy, who will do general cleaning in the usual way focusing on the kitchen, bathroom and living room.
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The Mathematics Minor provides a strong background in mathematics for students majoring in some other discipline.
Pre-requisite Courses for Math Minor
To complete the required courses for the Mathematics minor, you will need to first complete the following pre-requisite courses [by completing the course or establishing credit]. These courses are not part of the Mathematics minor.
ALL COURSES FOR THIS MINOR LISTED BELOW MUST BE TAKEN AT PURDUE UNIVERSITY
*For many students, MA 26500 may not be adequate preparation for upper division mathematics classes. Students planning a Mathematics Minor should consider taking MA 35100 instead. Only students with a very firm grasp of the MA 26500 material [and a grade of B- or better] should contemplate taking MA 35300 without MA 35100.
** MA 26600 with at least a “B-” can be used in place of MA 36600 [only one of MA 26600 /MA 36600/MA 30300/ or MA 30400 can be used in Area 3]. MA 26200 will not be accepted for the minor.
The student is ultimately responsible for knowing and completing all degree requirements.
The myPurduePlan powered by DegreeWorks is the knowledge source for specific requirements and completion.


We keep going past the 90° point (the top part of the y-axis) until we get to 144°. Another term I introduce today is coterminal angles.
Now we would notice that it’s in the third quadrant, so we’d subtract 180° from it to find that our reference angle is 4°.
Reference angles are delineated by quadrant, with one example and formula for each quadrant.
Drag the point around the origin several times. So, if our given angle is 33°, then its reference angle is also 33°. As you can see from the figure above, the reference angle is always less than or equal to 90°, I will upload the key later. So, if our given angle is 214°, then its reference angle is 214° – 180° = 34°. (angles from 0° to 90°), our reference angle is the same as our given angle.
1) x y −230 ° 50 ° 2) x y − 25 π 18 7π 18 3) x y − 7π 9 2π 9 4) x y − 29 π 18 7π 18 5) x y 31 π 9 4π 9 6) x y 640 ° 80 °-1- So, if our given angle is 110°, then its reference angle is 180° – 110° = 70°. We draw a ray from the origin, which is the center of the plane, to that point. It is is intended to be used after you teach the concepts of angles in the coordinate plane (in degrees and radians), co-terminal angles, and reference angles, but perhaps before building the Unit Circle (, This is a test to use after introducing coterminal angles, reference angles, the 6 trig functions, and how to do basic trig function problems knowing the 2 or more sides. we are in, the reference angle is always made positive. even for very large angles. Coterminal Angles Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.For example 30 ° , − 330 ° and 390 ° are all coterminal. It turns out that angles that have the same reference angles always have the same trig function values (the sign may vary). Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. How we find the reference angle depends on the. The calculator automatically applies the rules we’ll review below. Using the formulas to find the angles, other than a chart, is not in this test. (angles from 180° to 270°), our reference angle is our given angle minus 180°. Students use their solutions to navigate through the maze. Coterminal Angles and Reference Angles in Radians A, Angles in Standard Position, Coterminal, and Reference Angles HW (Radians Only), Coterminal and Reference Angles ExamView Test Bank, Co-terminal & Reference Angles Drag & Drop (uses Google Slides) Digital Activity, Co-terminal & Reference Angles Scavenger Hunt, Trigonometry Test—Introduction to Angles and Trig Functions. The reference angle always has the same trig function values as the original angle. Each section has 6 questions of that type. The digital version is ready-to-use, but you can edit the instructions and locat, Doodle graphic organizer used to develop an understanding of reference angles and coterminal angles. This is useful for common angles like 45° and 60° that we will encounter over and over again. Once we know their sine, cosine, and tangent values, we also know the values for any angle whose reference angle is also 45° or 60°. If we draw it to the left, we’ll have drawn an angle that measures 36°. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°). When the terminal side is in the third quadrant (angles from 180° to 270°), our reference angle is our given angle minus 180°.
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I’ve followed Bolter and Chainsword for a long while now, mainly due to my passing interest in Blood Angels and my long term interest in the Thousand Sons fluff. The Planet of Sorcerer’s section in particular has a great group of guys.
Having kept an eye on the Blood Angels section, I didn’t get involved with the first dice purchase as I was a bit dubious about the value.
When the second dice round went up I knew I wanted some. A bit of basic math worked out the price, which was far more reasonable than I originally expected and I put in my order.
For the price of a box of troops (well less than a box of troops) I ordered the Blood Angels dice and the Death Company dice. 30 of each did the trick.
The result arrived not long ago and I’m extremely happy with the end product!


Is there a way to have GetImageList call on every other entry in a MIGX template variable?
From the docs it looks like this will work
[[+_alt]] returns 1 every second row
Thank you, I completely missed that.
No worries, that’s the place to start when you want to do something, just fyi
Keep in touch! This site is really building up some good support threads
As a general tip, with many snippets you get access to an
[[+index]]-like placeholder that contains the number of the result in the set. Some start at 0 while others start at 1, but regardless you can use the
mod) output filter to also get the
[[+idx:mod=`2`:eq=`0`:then=`second result`:else=`not a second result`]]
For indexes starting at 0, it’s easy to add 1 first:
[[+idx:add=`1`:mod=`2`:eq=`0`:then=`second result`:else=`not a second result`]]
If there’s already a placeholder like
[[+_alt]] available, using that will save you some processing, but when it’s not, use the modulus.
I did see mod used a few places online, but I never knew what it meant as I can’t seem to find it in the documentation anywhere. Can you clarify its use? Is it simply the equivalent of nth, like is this one of the nth records retrieved?
In this case
mod is short for
modulus. It is listed in the output filter documentation, search for “modulus” on the page.
The modulus is a mathematical concept. If you take an input number (e.g. 10) and provide the modulus (e.g. 4), then the return value is calculated by fitting the number 4 into the input as many times and possible, and returning how much is left. So 4 fits twice in 10, leaving a number of 2.
This is probably the simplest video showing a more visual explanation about the modulus:
With a modulus of 2, that will always either fit exactly, returning 0, or there’s 1 left, which makes it useful for odd/even type things. Eg:
1 = (0 x 2) + 1
2 = (1 x 2) + 0
3 = (1 x 2) + 1
4 = (2 x 2) + 0
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Week of October 2nd
Trot-a-Thon: October 25th at 12:25pm
October 6th No School
October 9th No School
Students will go to Mass every Friday at 12:30pm.
Students will start the Promise Magazine program and work in their religion books.
Students will start topic 3, Intro, counting on to add, counting on using a number line, doubles, doubles plus.
Unit 1 Week
High Frequency Words:
fun, make, they, too
"Kick! Toss! Hop!"
"Games Log Ago
"There are Day and There are Days"
Students will learn short o.
Spelling test will be Thursday, October 5th over the words: hop, top, log, hog, hot, lot, flip, black, they, too.
Please make sure to study at home!
Getting students learn about capitalization and punctuation.
Student will learn about the 5 senses.
Social Studies with Mrs. Weslow
Writing with Mrs. Quinn
Students will complete 40 minutes of reading and 40 minutes of math lessons each week.
Monday- Gym (Wear gym uniform)


In Nursery, we have now moved on to looking at creatures that live under the sea. We have been exploring the story of 'Scary Shark' which gave us a great opportunity to look at different creatures, such as: lobsters, oysters, sharks and clown fish. In our provision, we have had opportunities to look at creatures we may not have seen before in our sensory tough spot.
The children have also been fishing for writing patterns to help improve their writing abilities, making movements that zig, zag, spiral around and have joined lines together to make shapes. We have had a focused maths activity, where children have had to find fish that were hiding under the water and find what number what written on their bodies. This has been a great opportunities for the children to match quantities to numerals and to practice careful counting.
We have then build upon our developing maths skills during our Welly Wednesday activity. We played 'shark attack' where children had to find a boat that match there numbered ticket before the hungry shark came. The children love learning how to identify numbers and count carefully to help them find corresponding numerals so they didn't get eaten by the shark.


I recently took ECON 325 with Basyl Golovedstkyy (SFU) for my summer semester. It’s a fairly comprehensive course focusing on Industrial Organization modelling how firms can behave when they have market power but aren’t completely in a monopolistic setting.
One of the problems I had an issue on personally on the final exam was this model of a Cournot oligopoly with a variable amount (n) of firms. Being so frustrated with myself, I decided to go over it again slowly now that my semester is over because I know that it certainly will pop up in the future.
If you’re looking for a clear explanation of the model, look no further! Now, let’s begin.
A Cournot-Style Oligopoly
Let’s keep things fairly general.
Market inverse demand curve:
We know in a Cournot model that at equilibrium, all firms will produce exactly the same amount . Therefore, the sum of all those individual yetoutputs will equal :
Armed with this knowledge, let’s expand our inverse demand function by substituting with :
Let’s factor out one since we’ll be solving for one.
Hmm, seems like a good choice.
Now, to simplify a little, let us pause and consider . What exactly is this?
It’s actually with one of thetaken out. This means we can write that as:
This allows us to rewrite and greatly simplify our demand function:
Marginal Revenue & Costs
To get we must equate marginal revenue to marginal cost () and solve for .
Let’s find our marginal revenues and costs: the derivatives of our demand and cost functions with respect to .
We know that marginal cost is simply the derivative of the cost function we are given with respect to the we need.
Taking the derivative and simplifying further (we can also use our knowledge that marginal revenue is simply the inverse demand with double the slope for the in question):
Now that we have both marginal cost and revenue, we can now profit maximize and find .
We know so let’s substitute it in our equation above:
Solving for :
Now, we know that . Let’s substitute this for .
And again, since we know :
Now that we have total market output at equilibrium, we can deduce what equilibrium price will be in the market.
From hereon in, you can go ahead and find the revenues or loses, equilibrium profits for each firm or the total profit the industry makes.
If this helped, please leave a comment below.


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This year, our math club will be competing at the Math Olympiad competition on the last Saturday in April. This is a team competition that covers are variety of math topics in two different formats. The teams will work together on a 60 minute in depth problem. Then, the teams will work through five different short answer sections each for twenty minutes. We will begin practices in March and continue through the end of April.
Please use the link above to fill out your information if you are interested in competing this year. Feel free to email me if you have any questions!
Practices for the Math is Cool Competition will begin on Thursday, January 10th. They will take place from 3:45 (right after school) to 4:30 pm.
2/8 Competition at Skyview High School starting at 3:00. More details to come.
November 13, 2018 AMC 8 3:45 pm - 5:00 pm Skyridge Middle School Grades 6/7/8
February 8, 2019 Math is Cool Competition Skyview High School Grades 6/7/8
Late April 2019 Math Olympiad Competition Hockinson Middle School Grades 6/7/8


1, the effect of fluid temperature on the flow coefficient of the vortex flowmeter, the change of the density of the fluid after the change of the fluid temperature, thus bringing the error to the mass flow measurement of the differential pressure type flowmeter and the speed flowmeter. Density compensation to solve. In addition, the fluid temperature changes also cause the flowmeter to measure part of the geometric changes, and thus cause errors.
2, the flow coefficient is affected by the fluid temperature has two parts: the body caused by changes in the width of the pipeline caused by changes in diameter. Why do you say that? In addition, the flow rate is inversely proportional to the diameter of the pipe, and when the fluid temperature rises, the volume increases and the frequency is inversely proportional to the frequency. , The pipe diameter increases, the body on both sides of the flow cross-sectional area increases, the corresponding decrease in flow coefficient, flow indication is low.


Since this week is NZ Maths Week I thought I would create a Maths Shape challenge for our class. The idea is to see if you can find the different shapes around Russell Street School (There is 25 shapes in all).
All answers are due in on Friday and there will be a small reward for the winning person/team!
Below is a sample of some of the shapes. Do you know where they are?
Today in class we learnt about comparing and putting fractions in order of size.
What did we do? Well we cut a piece of paper into strips and made a whole lot of different fractions. From here we compared the sizes and looked at the different equivalent fractions. Below is an example!
Today for Maths Olivia took the Triangles group and cooked Pizza! Why did they make Pizza? Well in class we are learning about Fractions and this is a great way to make the learning practical and exciting!
In class for Maths we have been learning how to use Quiz Revolution to make a quiz. Quiz Revolution is a fantastic website that allows you to make quizzes for free! Check out this awesome quiz made by Aye!
If you are like me and you love Maths then you will really enjoy this website. It is called Bedtime Maths and every day is has a new maths problem for you to solve! It is really cool and we are going to start using it in class as well.
Every Friday in 3D we practice our Basic Facts for Maths. We always start with a few strategies on the board, a look at their test scores from the week before (On the computer), a warm up game of 4 Corners (Great little maths game!) then onto our 10 minute test.
During the week we have maths groups where we learn all our different maths strategies. Then Friday’s Basic Facts test is a chance to put some of these strategies into practice.
We have a Basic Facts ladder in class where the children move their name up or down after the test.
Throughout the year we have seen huge improvements and everyone can be proud of their efforts!
Welcome to Room 5's Blog! We are a Y4 Class from Russell Street School in Palmerston North, New Zealand. We use this space to share all the great things we are learning and let you know what is happening in our class.
Snail and the Whale have had no end of fun in England here at Tuckswood Primary School! Snail and Whale have been very busy. They have made so many new friends and we have been so happy to have them! Snail and the whale went on a nature walk around our school and saw all […]
Welcome in our hometown Jena – in the middle of Germany… The snail and the whale arrived in Germany!! What for an awesome Christmas surprise Here they joined the Christmas decoration in our English classroom. These are the boys and girls from class 4 (age10) infront of our new school on their way to the […]
Snail and whale came to our classroom for the 2nd year in a row. The last class had so much fun, that we had to invite them back! Snail and whale got to have so much fun and do some many activities. Not only did they get to attend music, gym, and spanish class with […]


It's not one of TI's more intricate scientific calculators with full graphing capabilities, but the virtual version of the BA II Plus financial calculator is an interesting move for Dallas-based TI.
From TI's press release:
The app is equipped with all the original calculator's features, including tools to help financial professionals do equations in seconds that used to take minutes - all on one device. The app also solves accrued interest, amortization, cost-sell-margin, depreciation and time-value-of-money calculations, such as annuities, mortgages, leases and savings.
Now that's what I call fun! It's yours for a mere $14.99.
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Even travelling at the speed of light it would take 2 million years to reach the nearest large galaxy, Andromeda.
By law, information collected in a U.S. census must remain confidential for seventy-two years.
A perfect number is a number whose divisors add up to itself such as 28: 1+2+4+7+14=28.
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Blackjack An Exciting Game
On this page we go through everything you need to know about how to play Blackjack the game with the best house edge for us players. Everything from strategies and probability theory to which gaming companies are best for playing blackjack online. Playing blackjack online is very similar to playing it, as most casinos offer live casino for blackjack. Basically, the http://www.irishgameangler.com/ game is about getting closer to 21, than the dealer.
On the other hand, you must not get over 21. The dealer first deals two cards to each player at the table, then you can choose whether you either want one more card. Aces can be worth both 1 and 11. If you get an ace and a number card, aces are worth 1, if you get an ace and a dressed card, an ace is worth 11. To get an ace with a jack t .ex. means you get Blackjack. Counting cards efficiently depends entirely on how many decks of cards the dealer has.
The fewer decks of cards used, the greater the advantage you have as a player. When you play live casino, the probability is high that you are playing against either a dealer from the game developers NetEnt or Evolution Gaming. NetEnt has six decks of cards on the table, while Evolution Gaming has eight. That's why it's definitely better to play blackjack at Netent. If the sum we get after a game round is lower than zero, this means that the cards in the game do not have such a high value.
If there are not many cards of high value left, this means that during the next round we do not want to invest any big money. We place a minimum bet. We do this because it becomes more difficult to get close 21 the fewer 10 aces that are in the deck. If the sum lands after a played round of higher than zero, this means that there are more cards between 10 and aces in the game than usual. This means that we want to make a higher investment in the coming round.
If we use this model of card counting, we get a certain advantage over the house. However, just counting cards is not enough. We must also invest correctly. We do this in the following way. We must first establish a basic effort based on our own budget. Let's say that the base bet we have is 100. The base value when we count cards in blackjack is zero. Should we get zero after counting a round, we should therefore add 100. For each unit we go up or down, we increase / decrease our bet by 10%.


Top Students in the 2021 CAT Competition at North Shore
On March 26-27 earlier this year, a cohort of steely-eyed students sat the Computational and Algorithmic Thinking (CAT) competition at North Shore Coaching College, Chatswood. Run by the Australian Maths Trust, the one-hour problem solving competition is designed to encourage student curiosity and promote multiple modes of thinking.
All participants enjoyed the challenge of solving real-world problems involving the skills of the future, helping them become more confident as they take on interesting new challenges. We would like to extend our warmest congratulations to all students who challenged themselves with this unique, highly relevant competition. However, four students in particular achieved outstanding results in the CAT competition:
- David in Year 5 (High Distinction)
- Lawrence in Year 5 (High Distinction)
- Raksith in Year 6 (High Distinction), and
- Bright in Year 6, who achieved full marks!
Congratulations to these top performers, and all the prospective programmers, emerging engineers, mathematicians in the making and aspiring all-rounders who sat the CAT competition!
The Computational and Algorithmic Thinking competition will return in early 2022. Meanwhile, North Shore Coaching College offers a range of other enriching competition and assessments to help your child demonstrate and develop their talents. The Australian Mathematics Competition (AMC) will be held in August, registrations have just opened for SEAMO (a global Maths Olympiad), and new slots are constantly being opened for the perennially popular ICAS Assessments. Secure your spot today by clicking the link below:Register for Competitions


This is what Richard Byrne wrote about this unusual site which combines both science and films:
"Mathematics in Movies is a website developed by Oliver Knill, a Harvard Mathematics professor. Mathematics in Movies is a collection of video clips from popular movies and television shows in which references to mathematics are made. (...) The video clips from Mathematics in Movies could be a fun way to introduce a mathematics lesson. The clips might also be useful as a break from a traditional lesson plan for a day. Students can enjoy the clips while reviewing mathematics concepts."
Click on the picture below to be directed to Professor Knill's choice of over 150 film excerpts. The selection is accompanied by a short introduction where we are explained the kind of mathematical concept we are going to find.
If maths is not your field but you are a keen English student, you will come across lots of famous film scenes to practise your listening skill.