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Archive for May, 2012

Don’t worry…be mathematical!

May26

“Do not worry about your difficulties in mathematics, I assure you that mine are greater.” quote from Einstein, Albert (1879-1955)

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Paper Polyhedra – The Shape of things to come

May26

Students love to create their own mathematical shapes, and it is a great way to lead into discussion about the names of different geometric shapes, symmetry, volume, etc. Check out the excellent range of paper-based models that can be made here:

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Wildlife Photography!

May24

Here is a new angle on wildlife photography! Note the tripod – makes me think of triangles… Which leads to a quick note about how to fold a piece of paper into an equilateral triangle. Check out the instructions here:

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Water, water everywhere and not a drop to drink!

May24

Some excellent data and interactive graphs are available for Mathematics students from ocean buoys. Check out examples here:

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Just Imagine!

May24

I had an interesting conversation this week with a colleague who has a son studying Mathematics at university level. Apparently, this young man has a very narrow view of the world, with a focus on numbers rather than the wider world of Mathematics. When I mentioned this to a class I was pleasantly pleased to […]

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World’s Richest Woman – how about her tax?

May23

Gina Rinehart, the Australian mining magnate, has just been awarded “The World’s Richest Woman” title. Read more here. We are told that Mrs Rinehart earned a staggering  $2 billion every hour last year.   That equates to $1,077,0540 every 30 minutes of every day. Use the tax table below to calculate how much tax she […]

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Aftershocks Update

May23

My sister has just got back from her visit to Christchurch, the New Zealand city affected by earthquakes (see earlier post). She informed me that, while visiting a friend, they felt a sizeable earthquake. She said that, “It sounded like thunder, then ‘bang’ as it hit the house.” She explained that afterwards, those who lived in […]

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New Jersey Family with 12 Children, All Girls

May22

In 1957, Mrs. William Beston of Morristown, New Jersey, had gave birth to her twelfth daughter. Read the full story and children’s names here. What are the odds of having 12 daughters and no sons? If the probability of having a girl is 1/2, then the chance of having a dozen girls in a row […]

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Getting Homework Help

May22

You are sitting down to your Maths homework when a brain haze descends like a fog over your eyes. What to do? You could go online to Ask Dr Math and see if the solution is there (or leave your question for them to get back asap), or ask your parent(s), or post to this […]

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Pascal’s Triangle – good for a boy who was not allowed to study Geometry!

May22

Blaise Pascal, the famous French mathematician was not allowed to study the Geometry of Euclid by his father. So, young Blaise worked out the principles of Geometry that Euclid had done centuries before. He also revived the ancient Chinese “mystery triangle” of numbers that looked like this: Heads and Tails Pascal’s Triangle can show you […]

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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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