SMTE 1351 Final Review

RATIONAL NUMBERS

Rational numbers
    Face/place values
    Expanded form

Converting rational numbers between representations
Irrational decimal numbers
Rounding decimal numbers
Ordering decimal numbers
Denseness property
Finding decimal numbers between two decimal numbers
Converting repeating decimal numbers into fraction form
Theorem to determine whether a fraction will be a terminating or repeating decimal
Decimal operation models:
    Number line
    Base ten blocks
    Decimal grids

Percent
Percent models
Percent change
Solve three types of percent problems
Solve problems with very small and very large percents

Ratio, rate & proportion
Solve word problems with fractions, decimals, percents, rates, and proportions

Remember to always include the units for word problems!

PROBABILITY

Simple probability: additive rule; probability falls between 0 and 1; sum of probabilities always equals one

Conditional probability: given conditions; sample space changed; with or without replacement

Joint probability: multiplicative rule; multi-stage or multi-object; with or without replacement

Odds: in favor or against; notation; converting odds to probability and probability to odds

Permutations: multiplicative rule; with or without replacement; like and unlike objects

Tree diagrams: be able to construct and read the diagram

STATISTICS

Statistical graphs: be able to identify, construct, critique, and interpret all ten types of statistical graphs

Mean, mode, median, midrange: know what they are, what they mean, and how to find them

Variance, standard deviation, range: know what they are, what they mean, and how to find them

Normal curve: know what it is, what it means, and how to label it for a given data set

z-scores: know what they are; what they mean; how to find them; how to use z-table to find percentiles