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C1 Maths

1 basic algebra

1.1 manipulating algebraic expressions

1.1.1 3(2x-4y)-4(x-5y) = 2x+8y

1.2 equations

1.3 quadratic equations

1.3.1 x^2+7x+12 = (x+3)(x+4)

1.4 solving quadratic equations

1.4.1 x^2+7x+12 = 0 (x+3)(x+4) = 0 x=-3 or -4

1.5 simultaneous equations

2 co-ordinate geometry

2.1 co-ordinates

2.2 plotting sketching and drawing

2.3 the gradient of a line

2.3.1 (change in y)/(change in x) = gradient

2.4 the distance between two points

2.4.1 ((x2-x1)+(y2-y1))^1/2

2.5 mid-points

2.5.1 (sum of x's/2 , sum of y's/2)

2.6 equation of a strait line

2.6.1 y=mx+c

2.7 intersection of two lines

2.7.1 simultaneous equations

2.8 curves

2.9 circles

2.9.1 for centre (k,h) and radius r : (x-k)^2+(x-h)^2 = r^2

2.10 intersection of a line and a circle

2.11 intersection of two curves

3 polynomials

3.1 operations with polynomials

3.2 polynomial curves

3.3 the graphs of quadratic functions

3.4 using transformations to sketch the curves of functions

3.5 binomial expantion

4 uncertainty

4.1 errors and innerqualities

4.2 the algebra of innerqualities

5 indices

5.1 working with square roots

5.2 negative and fractional indices

6 the language of maths

6.1 problem solving

6.2 types of numbers

6.3 writing maths

6.4 the converse of a theorem

6.5 proof

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