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Archive for November, 2012

Random and Mathematics

November30

Here is an interesting definition; “If something is random then it is unable to be described using Mathematics.” or Mathematics explains order by using formulae. Randomness cannot be defined using an equation.” So, do mathematicians try to develop formulae to describe random patterns, such as those encountered with pi, prime numbers, etc.?

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The original random pattern

November29

No, this is an interesting twist in this mathematical world of randomness! Here is the original photo, taken of a clothesline outside one night during the latest full moon: So the questions arises – why was this photo (above) cropped to form the one below? Did I subconsciously crop to form an ordered, rather than […]

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Patterns and the inability of students to define “random”

November28

Here is an interesting pattern, noticed by our editors last night (that could be a hint?). What do you think it is? Is there a mathematical pattern to it? I put this to three different classes today (Grades 7,8 and 11) and they all struggled with the concept of “random” patterns in Mathematics. I posed […]

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3 Wise Men?

November26

Actually, no! We are not told how many wise men came at the birth of Christ – just that wise men came from the east. They were wealthy as well – which is a by-product of being wise?? Anyway, if you are a student who just cannot get wise with some topics then the following […]

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The Universe is Mathematics!

November24

“Nature is a book, written in the language of Mathematics” Galileo “I don’t think our universe is described by Mathematics. I think it is Mathematics” Max Tegmark Click on Mark in the picture above for more discussion on this topic

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Solve 2 Equations = Intersection of 2 Lines

November21

Here is a typical Year 8 or 9 problem where you are asked to solve two equations simultaneously. That is, you need to find where the two lines meet. Of course there are only two possible options for two straight lines: 1. They are parallel and don’t cross over at all or 2. They cross […]

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Maths needs a makeover!

November19

Dan Meyer gives Maths Teaching (and learning) a new perspective at TED Talks. Today’s math curriculum is teaching students to expect (and excel at) a paint-by-numbers (formulae and fun- flavoured) classwork, robbing students of a skill more important than solving problems: formulating them. In his talk, Dan Meyer shows classroom-tested math exercises that prompt students […]

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Beauty Math

November17

This just in… “Beauty contestants in China’s Hubei province must now comply with minimum body requirements. Among them, according to China’s Global Post, the space between the pupils should be 46 per cent of the distance between each pupil and the nearer ear, and the distance between a candidate’s nipples should be at least 20cm.” […]

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You are among the first 2000

November16

Yes, our blog has enjoyed some 2000 visitors in the last 10 months. Thank you for visiting and, in some cases, leaving great comments and questions.

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Visual Math – 2D to 3D

November15

Students enjoy learning to visualise and draw 3D shapes when given the 2D information. Click on image for more info and to download the “dotty” or isometric paper.

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« Older Entries

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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