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Blog Support for Growing Mathematicians

Archive for August, 2012

All numbers are in our imagination…

August31

…even Imaginary Numbers! Yes, we were all taught in school that you cannot take the square root of a negative number. Quite right! Well, not quite right!! Actually, around a few hundred years ago (early 1600’s), someone (René Descartes actually) thought it might be really useful to be able to find the square root of a […]

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Great Worksheets for Students

August28

Here is a really handy way to quickly create worksheets on a range of topics – largely suitable for Junior High School. Free for education and worth checking out, even for students who want to get some revision done!

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Speed Mathematics – from the horrors of a Concentration Camp

August28

Can you multiply 5132437201 by 452736502785 in seventy seconds without using a calculator? A Russian Jew, Jakow Trachtenberg, developed his system of “speed mathematics” while he was in Hitler’s concentration camps as a political prisoner during World War II. Read more about this amazing Mathematician here. You can download a copy of his work at this […]

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Helpful Mathcasts

August28

Mathcasts provide helpful video tutorials on most of the important foundation Mathematics you need in high school:

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Maths Whizz offers free online support for students, parents and teachers

August27

Maths Whizz (UK based) is well worth checking out and offers great support for our growing mathematicians:

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The way we learn best in Mathematics

August26

The best learning in Mathematics comes when we revisit earlier work to reinforce new concepts – that is, a spiralling curriculum; somewhat like this unusual cloud effect. For example, we learn our times-tables and later apply this knowledge to solving equations; then we apply our knowledge of equations to calculus, etc. So, we are always […]

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When difference = a big difference

August26

Difference can make a big difference, especially when you take into account the daily cost of putting petrol in your family car. Venezuela is the cheapest country to buy petrol in at just 8p a litre, while residents of neighbouring nation Columbia pay more than 40 times as much for their fuel. After Venezuela, Egypt (9p […]

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Bouncing Along with Mathematics in Sport

August25

My Dad was a keen sportsman and encouraged me to play cricket in the summer. I can still remember the thrill of getting my first cricket bat and playing having Dad show me how to hold the bat and play the hard cricket ball. Almost every type of ball used in a sporting event must […]

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Interactive Abacus

August23

Click on the Abacus to link to an interactive version and find out how this ancient mathematical device works:

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Think Cool Mathematics

August22

James Tanton’s Math site has some great videos to help our growing mathematicians. Here you will find some essays illustrating astounding tidbits of mathematical delight. And here are some purely visual puzzles to surprise. The true joy in mathematics, the true hook that compels mathematicians to devote their careers to the subject, comes from a […]

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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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