C1 Maths

C1 Maths

1. basic algebra

   • manipulating algebraic expressions
     • 3(2x-4y)-4(x-5y) = 2x+8y
   • equations
   • quadratic equations
     • x^2+7x+12 = (x+3)(x+4)
   • solving quadratic equations
     • x^2+7x+12 = 0 (x+3)(x+4) = 0 x=-3 or -4
   • simultaneous equations

2. co-ordinate geometry

   • co-ordinates
   • plotting sketching and drawing
   • the gradient of a line
     • (change in y)/(change in x) = gradient
   • the distance between two points
     • ((x2-x1)+(y2-y1))^1/2
   • mid-points
     • (sum of x's/2 , sum of y's/2)
   • equation of a strait line
     • y=mx+c
   • intersection of two lines
     • simultaneous equations
   • curves
   • circles
     • for centre (k,h) and radius r : (x-k)^2+(x-h)^2 = r^2
   • intersection of a line and a circle
   • intersection of two curves

3. polynomials

   • operations with polynomials
   • polynomial curves
   • the graphs of quadratic functions
   • using transformations to sketch the curves of functions
   • binomial expantion

4. uncertainty

   • errors and innerqualities
   • the algebra of innerqualities

5. indices

   • working with square roots
   • negative and fractional indices

6. the language of maths

   • problem solving
   • types of numbers
   • writing maths
   • the converse of a theorem
   • proof