Download MAT 155 Mathematics for Elementary Teachers (2 Ed.) Sybilla

MAT 155
Mathematics for Elementary Teachers (2nd Ed.)
Sybilla Beckmann
TEST 3
Study Guide (Ch 13 & Ch 14)
Definitions
variable
constant
expression
equation
formula
evaluate
pattern
relation
function
sequence
arithmetic sequence
geometric sequence
domain
range
linear function
slope
y-intercept
statistic
data
population
sample
simple random sample
numerical data
discrete data
continuous data
categorical data
mean
median
mode
range
IQR
standard deviation
normal curve
68-95-99.7 rule
Expressions, Equations, Formulas
evaluate expressions
solve equations w/ number sense, algebra & algebra tiles
represent and solve story problems w/ expressions and/or equations
represent and solve story problems w/ strip diagrams
Sequences
find missing terms of a sequence
describe a sequence as arithmetic or geometric
find the general rule for the nth term of an arithmetic or geometric sequence
explain how the general rule for an arithmetic or geometric sequence is generated
find a specific term for a visual pattern (e.g. square, circle, square, circle…what is the
50th term?)
Functions
represent functions as function machine, tables, graphs, and equations
general graph sense (e.g. weather journal)
complete table of function based on given information (e.g. silent board game)
find equation of function based on information in table
use equation to fill in table
Linear Functions
what does ‘slope’ mean?
use y=mx+b to graph line
create equation for and solve story problems with linear functions
what is a ‘linear function’? what is a ‘quadratic’ function?
Statistics
What is the importance of a simple random sample?
indicate whether a variable gives numerical (discrete or continuous) or categorical data
be able to create and interpret the following types of graphs: frequency, relative
frequency, dot plot, stem-and-leaf plot, pictograph, histograph, bar graph, pie
chart, line graph, scatterplot, Venn diagram, box-and-whisker plot
difference between box plot and histograph
when to use mean, median or mode as measure of “average”
conceptual meaning of mean
effect of outliers on mean, median, mode
measures of spread – range, IQR, standard deviation
conceptual meaning of standard deviation
normal curve & application of standard deviation
68-95-99.7 rule
determine what percent of data lie within given s.d. of mean