C1 progress

Description

AS level Maths (Core 1 edexcel) Mind Map on C1 progress, created by Saavik Hipkins on 21/04/2017.
Saavik Hipkins
Mind Map by Saavik Hipkins, updated more than 1 year ago
Saavik Hipkins
Created by Saavik Hipkins about 7 years ago
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Resource summary

C1 progress
  1. index laws
    1. x^1/2 = squ. X
      1. (X^n)^m = x^nm
        1. x^-1 = 1/x
          1. x^1/x^0.5 = x^1-0.5
          2. expanding and factorising
            1. surds
              1. rationalising
                1. cancelling down large surds
                  1. Dividing surds
                  2. Quadratic equations
                    1. completing the square
                      1. 2x^2-4b+c. 2(x^2-2b)+c, 2[(x-b)^2-b^2] + c, (x-b)^2-2(b^2) +c
                      2. provong a point lies on a curve
                      3. the discriminant
                        1. finding discriminant, b^2 -4ac = 0, =x
                          1. no real roots
                          2. sketching quadratics
                            1. good at recognising unhappy and happy parabolas
                            2. simultaneous equations
                              1. one linear and quadratic
                              2. inequalities
                                1. rearranging linear equalities
                                  1. equalities with greater AND equal to
                                    1. forget to put the sign down
                                      1. forget what the sign means
                                      2. number lines
                                        1. Not knowing if it is one equation or two
                                          1. knowing that if k < 0 k = 35 is not a value
                                          2. sketching cubics
                                            1. when x repeats
                                            2. Transformations
                                              1. sketching y = k/x
                                                1. finding x co-ord
                                                2. intersecting graphs
                                                  1. number of real solutions is the number of times the graphs cross
                                                    1. finding area between two lines
                                                      1. prooving two graphs do not intersect ( beast square has a negative number)
                                                        1. finding points of intersection with algebra
                                                        2. Equations of lines
                                                          1. y-b = m(x-a)
                                                            1. finding the length between two points
                                                            2. parallel and perpendicular
                                                              1. good at finding perpendicular gradient
                                                              2. lengths and areas
                                                                1. Finding area between two graphs
                                                                2. arithmetic sequences
                                                                  1. Making expressions
                                                                    1. "show that"
                                                                      1. working backwards from a equation
                                                                        1. Sum equation
                                                                        2. recurrence relationships
                                                                          1. finding another value
                                                                            1. sigma notation
                                                                            2. arithmetic series
                                                                              1. make simultaneous equations with two sequences
                                                                                1. when sum is larger than acutal value and using < to find answer
                                                                                2. sequences and series problems
                                                                                  1. recognise that 2000 is the first value and not 0 like a baffoon
                                                                                  2. differntiation
                                                                                    1. squared equations
                                                                                      1. dividing
                                                                                      2. tangents and normals
                                                                                        1. normal gradient is perpendicular
                                                                                          1. leaving questions in ax + by + c = 0 when asked
                                                                                            1. substituting 1 when asked to find f(1)
                                                                                              1. finding tangents to points
                                                                                              2. integrations
                                                                                                1. simple intergration
                                                                                                2. Finding the constant
                                                                                                  1. two lines that cross
                                                                                                    1. when given coordinates
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