Here is a quick summary of math topics that you should be reviewing for the final exam.

1. Approximations, Units, Unit Conversion
   1. approximating the values by rounding to "nice" numbers
   2. converting from "smaller" units to "larger" units (for example, minutes to hours, inches to miles, etc)
   3. converting from "larger" units to "smaller" units (for example, hours to minutes, miles to inches, etc)
   4. multiply by 1 trick
2. Percentages
   1. group sizes as percentage of a whole
   2. pay increases (one+ trick)
   3. discounts
   4. finding what percent of one amount is another amount
   5. inflation - what is your money worth tomorrow
3. Averages
   1. averages vs. weighted averages
   2. average paradox (Simpson's Paradox)
   3. calculating GPA
4. Linear growth
   1. calculating distance traveled within particular time
   2. currency exchange
   3. electricity bills (base pay)
   4. bonus calculation
   5. car rental fees
5. Exponential growth
   1. simple interest vs. compound interest
   2. significance of doubling: rice and chessboard story, toilet paper and the Moon
   3. population growth, generations
   4. credit card payments
   5. retirement savings
   6. Using the IF-ELSE statement
   7. Nesting decision structures (IF statements inside other IF statements)
   8. The IF-ELIF-ELSE statement
   9. Logical operators (and, or, not)
6. Logarithms
   1. figuring out the exponent, what_power_function
   2. bacteria growth - how much time does it take for population to double?
   3. how many digits/symbols to produce specified number of unique identifiers
7. Statistics
   1. interpreting different types of graphs: histograms, dot plots, box plots
   2. approximating and calculating mean, median and mode - what kind of information they reveal
   3. scatter plots for numerical data
   4. modeling data with linear/quadratic/exponential/logarithmic functions
   5. approximating missing data based on the model
   6. categorical data
   7. frequency table, relative frequencies, conditional relative frequencies