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Archive for February, 2015

Putting another ring around concentric…

February28

Look carefully at the picture above. Circles spiralling inwards? No – these are concentric circles that all share the same centre (aka center). Pretty cool optical illusion. Of course, these circles have different radii. You can make your own concentric circles by dropping a stone into the center (aka centre) of a pond. There are […]

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Engineering actress invents torpedo-jamming technology!

February26

Hedy Lamarr is famous as a popular movie star from the black-and-white era of film. But what most people don’t know about her is that, in 1942, she co-invented a device that helped make possible the development of GPS, Bluetooth, and Wi-Fi technology! Hedy’s invention is called spread spectrum and is used in cell phones, […]

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Geometric Squaring for accuracy…

February25

Spot the error in this student’s working: You spotted it? Yes, it is obvious that this student has forgotten to do the last problem correctly and worked out 7 x 2 when they should have done 7 x 7 (source here). Perhaps it is better to think of “Squared Numbers” as geometric squares. After all, […]

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Microscopes and Math Reveal a Moth’s True Colors

February24

The NY Times reported this interesting article: “The brilliant hues of moths and butterflies are not from pigmentation, like the colors of our skin or eyes. Rather, they come from tiny structures in the scales that scatter light to produce colors. Now, researchers have determined the original colors of a fossilized moth. Maria McNamara, a […]

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IXL – practice making math perfect

February21

“In my free time I like to learn and challenge what I don’t yet know. I LOVE how when I get something wrong IXL tells me why and how to get the next one right!”  8th grade student, Australia This is a great site that students can use to test and learn math skills!

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We study math because of neck-ties!

February21

In a recent online discussion (read more here) about Prime Numbers, was this extract regarding the importance of research; “For what it’s worth, a great deal of mathematical research has no known application and little or no bearing on other fields. Some very smart people (Russell, Hardy) have argued that this is not a bad […]

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Spring is coming, but how do plants know?

February17

Spring is sprung The grass is riz I wonder where the Math is! Yes, there lies a puzzle. How do plants know it is time to blossom and accept that spring has arrived? As Bill Finch said, in a recent article on the Mathematics of Spring, “You won’t find your spring on a calendar. There […]

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Math goes around the world

February13

The Circumference Problem: Let’s assume that the earth is circular. We put a rope around the equator but then decide that it is best to be one metre off the ground. How much more rope will we need? The answer is in the Post Support!

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Maths Links – Resources for teachers and classes

February10

The MathsLinks network has great starter activities, exam and task timers, graph paper, etc. for classroom use

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Wearing Striped Pyjamas depends on the heat?

February7

The Royal Society of Open Science examined how well 29 environmental variables predict the variation in stripe characteristics of zebras across their range of habitats in Africa. The patterns of zebra stripes have fascinated scientists for a long time but, until now, there has been no mathematical explanation for them. In contrast to recent findings, […]

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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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