Posted in graphs.

The DATA method is probably the coolest acronym I've ever come up with - it's even about graphs! It's a four-point plan for how to sketch a graph and be pretty sure of getting the salient features right. D is for domain The first thing to decide is, where is

Read More →This quiz is to get you up to speed with straight lines, gradients, distances and midpoints. Enjoy!

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Posted in calculus, core 3, graphs, logarithms.

It's typical of James Grime to ask a really interesting question just as I'm going to bed. I was going to sleep like a log, but suddenly I was awake liking logarithms. I've been asked, for what base a does the equation $\log_a(x) = a^x$ have only one solution. If

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Posted in graphs.

I teach students from a wide range of backgrounds -- from kids who do part-time jobs to earn enough for their tuition money, to kids whose parents run banks, from the shyest and most introverted teenagers, to students so brash they sign autographs. Some of them can barely count, while

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Posted in core 2, graphs, integration.

I was sent this by my friend and colleague TeaKay from Blogstronomy, and I've adapted the puzzle slightly to make the sums a little bit nicer. A curve has the equation $y = (x-2)^2 - n^2$. The area bounded by the co-ordinate axes and the curve in the first quadrant

Read More →Part I: Basic shapes of Core 1 graphs There are a handful of basic shapes of graphs you need to know about for C1, namely: - reciprocal graphs ($y = \frac{1}{x}$) - reciprocal-square graphs ($y = \frac{1}{x^2}$) - straight line graphs ($y = x$) - you know this one, right?

Read More →Part I: Basic shapes of Core 1 graphs There are a handful of basic shapes of graphs you need to know about for C1, namely: - reciprocal graphs ($y = frac{1}{x}$) - reciprocal-square graphs ($y = frac{1}{x^2}$) - straight line graphs ($y = x$) - you know this one, right?

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