# 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

- Stratified Sampling
- 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.

- Indices
- 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

- Expanding One Bracket

- Data Handling

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