Maths

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  • Created by: ethscotty
  • Created on: 06-04-15 14:16
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  • Maths - Immediate Learning Targets
    • Data Handling
      • Stratified Sampling
        • Sample size for each layer = size of whole sample / size of population x size of layer
        • There are 180 students in year 7- this is the size of the layer. There are 100 pupils in the school - this is the size of the whole sample, We need answers from 50 people in total - this is the size of the whole sampleIn order to find how many year 7 answers we take answers from, we do 50/1000 x 180 =9Answer = 9
      • Combined Probability
        • Make a table and work thing out logically.
      • Histograms
        • In a histogram, area = frequency
        • Frequency Density = Frequency / Class width
    • Number
      • Indices
        • 1 - Xm x Xn = Xm+n
        • 2 - Xm / Xn = Xm-n
        • 3 - (Xm)n =Xmn
        • 4 - X0 = 1
        • 5 - 1/Xn = X-n
      • Standard Form
        • The number is always written as A x 10n
        • A is always between 1 & 10 and n is how many places the decimal moves
        • 15,000,000 = 1.5 x 10 7
      • Percentage Change
        • For percentage increase or decrease, you form a  fraction of the two amount and multiply by 100
      • Upper & Lower Bounds
        • For the number 12, the lower bound is 11.5 and the upper bound is 12.5.
    • Algebra
      • Expanding One Bracket
        • To expand, you need to multiply the part outside the brackets by every part inside the brackets e.g-3(x-6) = -3x +18
      • Algebraic Fractions
        • When adding or subtracting algebraic fractions, the first thing to do is to put them into a common denominator and then expand brackets
        • To solve equations you must multiply both sides by a number/expression which removes the fraction
      • Transformation of Functions
        • Reflection over the x-axis :-f(x) reflects f(x) over the x-axis
        • Reflection over the y-axis :f(-x) reflects f(x) over the y-axis
        • Slide to the right or left :f(x+a) translates f(x) horizontally
        • Slide upward or downward:f(x)+a translates f(x) vertically
        • Horizontal stretch or compress:f(ax) stretches f(x) horizontally
        • Vertical stretch or compress:af(x) stretches f(x) vertically
      • Inequalitites
        • The answer to an inequality is a range of numbers
        • To solve inequalities, you must do to one side what you do to the other

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