Here are my tips for doing better in math I hope you find this useful :
My tips:
1) Read the problem through; until you understand it. Take your time and work it one step at a time. Don't rush it -your more apt to make mistakes doing this way than when your doing it slow allow your mind to work the problem out ( Think of it as a puzzle, the pieces will come together only one piece at a time. So do it one step at a time)
2) Look for clue words like: sum, more than,less than, greater,multiplied,divided by..etc for all word problems
3) Look for given equation, variables, etc
4) Find out what the problem is asking you to solve for .
5) Write "Given: " , than write down what is given, than write down, What are you solving for?
6) If you have to rearrange the equation in order to solve it, than write out step by step what math operation your using on it to solve it, if you have to rearrange it otherwise do # 7.
7) Write step by step what Math operation your using to solve for it . This will make it easier for you to backtrack it and see what you did wrong; if you made error in your math - if your proof for it , doesn't check and equal
8) While doing number 6 and 7:
Always Pay Attention To the Signs . This the one number reason why people get wrong answers in Math. When they are solving there math problems. So please take your your time in doing it, if you rush it , your more than likely to make errors.
9) Do a Proof to prove your answer is correct By writting "Proof:" - The reason for this : Sometimes you might think you have the right answer when your really got the wrong one but this will tell you right away. { Remember # 8, you might have made a error in your signs.} Doing the proof for it, will catch it, if you did make a mistake. So do the following:
10) Write your original equation down. Plug in your numbers, than write step by step what Math operation your using to solve for it . If this does not check and equal than back track from the Given point to the proof and see if your answer is right. if it is? than check the proof and when you find were you made your error at . Correct it than solve it again and redo the proof again until it check and equals
11) Make sure you put the units on the end of the final answer . Some teachers will mark it wrong, if it not there,
Here a example of of a math problem so you get a idea of how to do one :
Example:
A spherical tank need to hold 100 cubic feet of water, using the formula V= 4/3*pi*r^3 ,
and pi = 3.14159258, what is the radius of the tank:
Step 1 :
Given :
pi = 3.14159258
V = 4/3 * pi* r^3
V= 100
We are solving for r
Step 2
V = 4/3 * pi* r^3 - original equation
100 = 4/3* 3.14159258 * r^3 - Substitution of V, and pi
100* 3/4 = 4/3* 3.1415258 * r^3 * 3/4 - Multiplying the multiplicative inverse of a
number to both sides of the equation to move it to the other side of it
300/4 = 3.14159258 * r^3 - Multiplication
75 = 3.14159258 * r^3 - Division
75 * 1/3.14159258 = 3.14159258* r^3 * 1/3.14159259 - Multiplying the multiplicative
inverse of a number to both sides of the equation to move it to the other side of it
75/3.14159258 = r^3 - Multiplication
23.873242023000 = r^3 - Division
23.873242023000 ^ (1/3) = (r ^ 3)^(1/3) - taking the cube root of both sides of the equation to remove the cube
2.879411933968 = r - Doing or solving the cube root
The answer for r is 2.879411933968 feet
Proof:
prove that - when r = 2.879411933968, pi = 3.14159258 and v = 100 cubic feet it make the V =
4/3 * pi* r^3 true
V = 4/3 * pi* r^3 - original equation
100 = 4/3 * 3.14159258* 2.879411933968^3 - substitution of r,V,pi
100 = 4.1887904* 2.879411933968^3 - Multiplication and Division of 4/3 and pi
100 = 4.1887904 * 23.87324202301 - solving or taking the cube of r
100 = 100 - Multiplication
It checks and equals
The answer for r is 2.879411933968 feet
Granted doing this, takes a lot of time; but it will give you the right answers every time; or at least catch your wrong answers before you write it down and it will save your bacon every time , A lot of right answers is better than a lot of wrong answers don't you think.
also write in a notebook any tips or tricks in math so you can refer too .
I hope this helps.