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Archive for July, 2012

Numbers in Mathematics

July22

Which lead to a post on Square Numbers. These are numbers which are the squares of 2,3,4,5, etc. Therefore, the set of square numbers will be; 4,9,16,25,36, etc. Which can lead to some interesting discoveries… Click the pic above to investigate this idea and click here for more number ideas and links from this excellent maths […]

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Tour with Altitude

July22

As Bradley Wiggins rides (on a bike with better wheels than the one above) to a British win in the Tour de France, here are some questions to do with the hill stages of this incredible race: Category 3 climbs last approximately 5 kilometres have an average grade of 5 percent. How many metres will […]

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Try your skills with the Tower of Hanoi

July20
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Importance of Developing early Maths Skills

July20

Suzanne Graham, associate professor of education at the University of New Hampshire (UNH) and faculty fellow at the Carsey Institute, and Lauren Provost, doctoral candidate in education at UNH, note: “Developing strong mathematical skills early in life is necessary for all students. At the most basic level, an understanding of mathematics is necessary for citizens […]

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Engage Students in Math with the 2012 Summer Olympics

July19

There are so many great resources to use with students over the period of the Olympic Games. I have always enjoyed the excellent work done by Tom Snyder and his team over the years and there are some really good ideas on this site and at Lesson Corner. Click here for a link to the official […]

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The Mathematical Association – UK

July17

The Mathematical Association offers a wealth of resources and links that will interest teachers and students alike. Registration is free as are many of the resources, including the Secondary Magazine (issue 89 here).

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Sports Research for improved performance

July17

The Sheffield Hallam University’s Centre for Sports Engineering Research has a compelling array of different resources available for improved performance through close analysis of real data. e.g. 1. Environmental chamber The British Olympic Association (BOA) approved chamber simulates the climate of almost any country in the world. Temperatures can reach +40 degrees Celsius and -20 […]

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Interactive History of Maths for iPad

July15

IBM and the Eames Office have developed Mind of Modern Mathematics – an app for the iPad. This interactive app details the history of Mathematics. Click on the image for more, including the download:

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New Maths Teaching = Trouble

July15

Survey results from a Canadian investigation of new teaching methods in Mathematics. Click on the survey to read the article: The study, titled Math Instruction that Makes Sense, “demonstrates conclusively that traditional math education methods are superior to the highly ineffective, discovery-based instructional techniques that are in vogue now in educational curricula,” said a news release from […]

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More Missing Number Squares

July14

Click on this Missing Number Square to create your own – at different levels of difficulty: Each number square contains a number of missing squares. Your task is to fill in the missing numbers.

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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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