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Blog Support for Growing Mathematicians

Archive for August, 2012

Free Mathematics Courses

August22

Udacity offers many free online courses – some ideally suited to the budding high school mathematician. Check out this one:

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Operations simplified for growing mathematicians!

August18

Get this right and you get Maths! When working in Algebra (like any other work) you need to follow the rules to get it right. Yes, of course there are other ways to handle problems but getting the basics right is the first step! Here’s how I teach it. Think about a BMW (BEMA). This […]

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The Poetry of Mathematics

August15

“The mathematics we choose to hate in school is not the mathematics which, being a part of our soul, we will always love. As Gottfried Leibniz said, “Music is the pleasure the human soul experiences from counting without being aware that it is counting.” It is true of all arts, for symmetry and pattern are […]

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The Quadratic Formula

August15

The Quadratic Formula is widely used in senior high school Mathematics. Click here for more explanation and examples of its use:

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Thanks to our first 1000 visitors

August13

We appreciate you all stopping by H3 Maths, and for your comments and feedback. Our visitors are from 60 different countries which makes us realise how universal Mathematics is  – the gold medal subject of the academic olympics.

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Looking for Patterns in Calculus

August12

Below is the formula for differentiating a fraction, using the Quotient Rule. Note that the ‘v‘s form a V on the outside of the formula, while the ‘u‘s are next to each other. D = Differential. This may help some senior students quickly learn the Quotient Rule (I tried this with a student some 30min […]

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Practice your times tables here

August12

A great way to refresh your multiplication skills, or to learn your times tables. Regular, daily practice will ensure better agility at Mathematics. This is excellent brain exercise and you can set your own pace. Click on the image for more.

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Measurement – from TB to ZB

August11

Computer storage measurements have had to increase dramatically as the internet has grown. From Terabytes to Zettabytes! Full article here.

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Inequalities the easy way…

August9
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Scale and Measurement – Part I

August8

Here’s a good introduction to the concept of Scale and Measurement in Mathematics (answer in Post Support): Estimate the length of this Crocodile that was found in a public pool:

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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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