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### Number and algebra

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# Equal Temperament

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### Root to Poly

### Consecutive Squares

Links to the University of Cambridge website
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Nurturing young mathematicians: teacher webinars

30 April (Primary), 1 May (Secondary)

30 April (Primary), 1 May (Secondary)

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Age 14 to 16

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The topic of music can make a good connection between science and mathematics

The nature of sound and the working of the ear are rich areas of applied mathematics.

The ratio emphasis follows from harmonics or overtones and rests on ideas like lowest common multiple.

One teacher has offered the following comment : This Stage 4 work makes practice in multiplying and dividing fractions purposeful. And in school invites collaboration between the music and mathematics departments.Find the polynomial p(x) with integer coefficients such that one solution of the equation p(x)=0 is $1+\sqrt 2+\sqrt 3$.

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?