## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with infinity

### 3 Principles of Mathematics

August1

Mathematics is true: students know this, since there’s always a correct answer. The philosophers ask, “What is truth?” but the mathematician replies “Mathematics is Truth.” Mathematics is orderly: Algebra requires arithmetic, Trigonometry requires algebra, Geometry requires both. Mathematics teaches us about infinity: For any number, no matter how big, you can always find a bigger […]

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### How to find the gradient of a vertical line

June14

Many students struggle to figure out what the gradient of a vertical line is. Here is one explanation:

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### How big is infinity?

May9

This TED-Ed talk takes us backstage to figure out some complex ideas about infinity. Click to be amazed!

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### Infinite possibilities with Infinity

April26

Here is a rather philosophical summary of the concept of Infinity:

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### Definition of Infinity

February16

Perhaps one of the best definitions of infinity was made by a Year 9 student who said that, “Infinity is the place where things happen that don’t”

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### Do Parallel Lines Ever Meet?

February16

The idea that parallel lines might meet has a lot to do with infinity. For example, when you look along railway tracks they seem to meet at a point in the distance. Also, on the earth, lines of longitude seem to be parallel yet they meet at the poles. These anomalies are to do with […]

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#### Post Support

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)?]