## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with patterns in maths

### 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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### Free online Math Courses at MIT

March26

For a number of years MIT has made available a host of free online coursesĀ (both undergraduate and graduate). The extract below links to their Mathematics courses and is well worth a look, especially if you are a Senior considering university Mathematics – or are just a curious student! Surprising geometry emerges in the study of […]

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### Geometry around home – Pt I

March12

It is quite amazing to find so many geometric shapes around home. Below is a shadow of triangles that I saw this morning across the road at our neighbour’s place. If we have a closer look you will see several parallel lines (shown in blue below). There are also two other sets of parallel lines […]

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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)?]