MATH

In this you will find the following: Probability Simple and compound interest Transformations Y=MX+C Decreasing interest

Probability, Compound Interest etc.

Probability trees

Example question: Tasmin has a bag containing 2 silver tickets and 5 gold tickets. She takes a ticket at random puts it back then takes a second ticket.To create a probability tree you must first find the variables in the question. In this situation the two variables are the silver and the gold tickets.Next you would create your probability tree. To do this, you would create two branches. One branch labeled for silver and the other labeled for gold. At the end of the branches you will label the probability of the event happening, in this situation picking a gold ticket. If you don't know how to continue from there then what the hecc are you doing in advanced.

Simple and Compound Interest

Simple: Simple interest is the increase of a number by a certain percent. An example would be if 250 increased by 15%. The way in which you would then write out the equation to type into your calculator is as the following: 250 x 1.15 .Compound: Compound interest is fairly similar to simple, however, it is when the event repeats for a certain number of time. For example if 250 was increasing by 15% continuosly for ten years. The way that you would type this into your calculator would be: 250 x 1.15(to the power of ten)

Decreasing Interest

Decreasing interest is when a number is decreasing in value. For example, if 250 was decreased by 15%. If the objective of the problem was to find what the new value was, you would find what 100-15 is, 85, and your equation would therefore be: 250 x 0.85 .However, if you were aiming to find what 15% of 250 was, your equation would be: 250 x 0.15 .

Transformations

Translation: Translation is when you move a shape somewhere. An example would be if you were moving a shape 4 ,-2. This would mean that you were moving the shape to the right 4 and down 2. To elaborate, if you had to move the shape -3, 0 you would simply move it to the left three.Reflection: Reflection is when you show the mirror symmetry of a shape in a line. It is fairly simple because, you merely have to measure how far each point is from the line and repeat that measurement in the other direction to find the new points. Enlargement: When you enlarge a shape, you must first find the center of enlargement indicated within the question. Next you measure how far the current points of the shape are from the center of enlargement. Say that you had to enlarge the shape by a scale factor of 2, you would then find the new points by doubling their distance from the center of enlargement.

Y = MX+c 

Y+MX+C is the equation in which you are able to find the information necessary for a line on a graph. Y is is simply Y X is simply X M is the gradient of the line or the coefficient C is where the line intercepts the Y axis. For example, if the equation of the line was Y= 2x-4 it would mean that starting at -4 on the Y axis (the one going up), you would find the points on the line by moving one to the right then two up. So your second point would be 1, -2 .