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Archive for April, 2012

Will Buzz Lightyear Ever Get to Infinity and Beyond?

April23

To Infinity and Beyond! It was part of our Year 7 lesson on using quotients (division) and why we get “Error” or “Undefined” when trying to divide any number by zero. Here is the explanation:

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Teacher and Student Presentations too

April23

Along with the concept of Euclid’s “Outdoor Mathematics” and the open sharing of ideas at the Perimeter Institute (in the previous post), there is also TeacherTube – a community for sharing ideas and concepts with other teachers and students. There is nothing quite like the challenge of video to re-present ideas. Students who have to do […]

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And Modern Scientific Dialogue

April22

Euclid’s outdoor presentations are somewhat similar to modern day scientific and mathematical dialogue, where universities and institutes host “open” forums, such as this one at the opening of the Stephen Hawking Centre at The Perimeter Institute – a place in Canada where the frontiers of space are being explored by leading physicists. Free teacher resources […]

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Euclid demos the earliest iPad…

April22

Yes, here it appears that Euclid (or a look alike) is showing off his new yellow iPad? Well before your iPhone and digital SLR the only way to capture events was to paint or sketch them. This is an extract from Raphael’s School of Athens painting and features the mathematician Euclid (famous for his Geometry […]

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Overheard Recently…

April21

“What is the best temperature to have my room set to?” “I don’t know about you, but I set mine to room temperature and the corners to 90 degrees!”

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Mathematics and Music

April20

The astronomer Galileo Galilei observed in 1623 that the entire universe “is written in the language of mathematics”, and indeed it is remarkable the extent to which science and society are governed by mathematical ideas. It is perhaps even more surprising that music, with all its passion and emotion, is also based upon mathematical relationships. […]

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Maths Fun at Dinner Time – hope you like blueberries!

April19

This article just in from the ScienceDaily (Apr. 12, 2012)  The world often breaks down into numbers and regular patterns that form predictable cycles. And the sooner children can inherently grasp these patterns, the more confident and comfortable they will be with the world of math.  University at Buffalo’s Graduate School of Education professor Ming […]

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Is this a good deal?

April19
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Graphmatica – a cool graphing tool

April18

Download a copy of Graphmatica, a really powerful and small, yet intuitive graphing tool (for PC or Mac):

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Functions Site – Visualise a range of Function Types

April16

I would encourage you to make use of the excellent functions-site at Wolfram Research – e.g.

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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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