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Archive for September, 2012

Scale in Math

September27

The Hubble post (below) uses scale in order for us to get a sense of place and size of the image taken in relation to the moon. Scale is important in the Mathematics of Life – we use scale everyday in our house plans, models boats and planes, etc: Source and more info here 

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Time and Space – Hubble exposes deep space

September27

A stunning new composite photograph from the Hubble Space Telescope, made up of more than 2,000 images shot by multiple cameras over the past 10 years and combined in what amounts to a 23-day time exposure, shows some 5,500 galaxies in tiny field of view, including some dating back to just 450 million years after […]

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Woz Was Here and No.5 is Alive!

September21

Yes, dear blog readers – the one and only Steve Wozniak of Apple fame was just a few minutes down the road from my classroom – lined up to buy his new iPhone 5. Without Mathematics it would just be an iPhone…! Go number 5!! (Note: No, I don’t own an iPhone but do love […]

Do we live in a parallel universe?

September21
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No touching allowed

September19

Parallel lines are lines in the same plane that never touch. Like railway tracks they just keep the same distance apart: Which leads to some interesting facts about angles…read more here. So, are the railway tracks on the right in this picture parallel or not? This question generated quite a bit of class discussion. Of […]

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Gift idea for your Math Teacher…

September18
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How do you measure up?

September13

Yes, a number of students (perhaps even you?) have difficulty measuring angles accurately. First, you need a protractor, something like this: You place the centre of the protractor (labelled G above) on the vertex (place where the angle is formed). You move the protractor around until the 0 degree mark is at the start of […]

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Prime Numbers are in their prime!

September13

A Japanese mathematician claims to have the proof for the ABC conjecture, a statement about the relationship between prime numbers that has been called the most important unsolved problem in number theory. If Shinichi Mochizuki’s 500-page proof stands up to scrutiny, mathematicians say it will represent one of the most astounding achievements of mathematics of […]

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Double Stem and Leaf

September10

Double stem and leaf plots are used to compare two distributions side-by-side. This type of double stem and leaf plot contains three columns, each separated by a vertical line. The center column contains the stems. Example  – Making a double stem and leaf plot for the data gathered by students doing traffic counts at different times […]

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Grab a Graph

September9

A graph is a visual story for mathematicians. You choose the one that best illustrates the story you are telling with the data you have collected. For example, this stem and leaf is a cool way to show the exam scores for a class. Turn your computer (or your head) sideways (to the left) and […]

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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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