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Blog Support for Growing Mathematicians

Archive for April, 2013

Impossible Triangles

April16

One area connecting mathematics and the brain is visual phenomena. Human visual information is processed by the brain and uses our amazing eyes. Mathematicians have been involved in a wide variety of problems involving vision: * What is the geometry of our perceptual system? * How does the brain process visual information? It is well known […]

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Why Mathematics is so important!

April12

From  US-based Diplomaguide we read; “According to the professionals at College Board (www.collegeboard.com), students who take geometry in high school have about an 80 percent chance of attending college regardless of race, religion and family income. Taking math is important if you’re considering attending a college, university or technical school. Many of these institutions require […]

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More graphing

April12

How would you improve this graph? Can you see faults with the data? Are the conclusions correct?

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iPad in Mathematics…

April12

Apple CEO Tim Cook, in 2012, made the following comment; “The reason that we [lowered the iPad 2 price] was because…there was a buyer that really wanted the best product, but needed it to be a little less expensive. I believe that we saw that. I think it did help our sales. I think it’s […]

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Kids need to learn their tables

April11

“Last week my son got 100 per cent in maths in long division – he was rapt. All done by hand and with a time limit. In a subject that he hated at home, which he now loves. He is so proud of himself. And we cannot believe the difference in his attitude to maths. […]

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Numbers in the news, updated…

April9

and… 4.09 million = area in sq kms of sea ice in the Arctic Ocean (an all time low) $151 billion = cost of the most recent proposal by Amtrak to build a high-speed rail link between Boston and Washington 1% = percent of American children who save their allowance money (averaging $780 per year)

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GPS – the math of location, location, location

April6

The simple explanation behind GPS is this: If you know how far away you are from three known points, you can use high school math to determine exactly where you are. Here’s how it works when those known points and those measurements come from outer space. Starting in 1978 the U.S. military began placing GPS […]

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Graphing altitude, speed and time

April5

Aircraft have to fly the most efficient way in order to maximise profits for the airline. The take-off, cruising altitude and speed, and descent are all carefully calculated mathematically. There are many complex factors at work in flight dynamics. This example shows three related flight parameters (which we looked up as it was a flight […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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