Statistics/Probability and Graphing –
Students determine the mathematical probability of events, calculate measures of
central tendency, and work with combinations and permutations. Interpret and
predict information from charts, graphs, and tables.
Skills and
Concepts
Graphing
 |
Use pictographs or bar graphs to
compare quantities |
New Vocabulary
in this Range: none
New Signs and
Symbols: none
Probability and Prediction
 |
Determine an outcome and make a
prediction (single event) |
Graphing
 |
Understand the concept of addition
using concrete objects |
 |
Represent and compare data (e.g.
largest, smallest, most often, least often) by using picture graphs, pictures,
or simple bar graphs |
New Vocabulary
in this Range: probability
New Signs and
Symbols: none
Probability and Prediction
 |
Interpret a table and make
predictions (chance) |
 |
Predict the likely number of times
a condition will occur based on an analysis of data |
Graphing
 |
Complete and interpret simple
picture graphs, bar graphs, line graphs or tables using the key to indicate
the quantity represented by each symbol |
 |
Graph ordered pairs in the first
quadrant |
 |
Identify least and greatest values
represented in bar graphs and pictographs |
New Vocabulary
in this Range: chance
New Signs and
Symbols: none
Probability
·
Predict whether common events
are certain, likely, unlikely, possible, impossible, fair or unfair
·
Investigate experimental
probability of an event using a coin or spinner
Graphing
 |
Solve simple word problems based on
data from picture and bar graphs |
New Vocabulary
in this Range: most often
New Signs and
Symbols: none
Probability and
Prediction
 |
Develop concept of chance and make
predictions for events (ex. rolling a number dice) |
Statistics
 |
Use tallies to record data |
 |
Compute averages with a given set
of data |
Combinations and Permutations
 |
Solve problems involving
combinations or permutations |
Graphing
 |
Use a number line to write number
sentences using subtraction |
 |
Solve problems using information
from a bar graph |
 |
Solve multi-step word problems with
pictographs, bar graphs, or line graphs |
 |
Construct, and solve word problems
involving line graphs |
 |
Construct and solve word problems
involving circle graphs |
 |
Read and interpret dual bar graphs
and dual broken-line graphs |
New Vocabulary
in this Range: average, bar graph, percentage
New Signs and
Symbols: %
Probability and Prediction
 |
Compute simple probability outcomes |
 |
Determine the probability of an
outcome (multiple events) |
 |
Use the counting principle to
determine probability |
Statistics
 |
Solve practical problems involving
the mean (average) of a set of numbers |
Graphing
·
Solve problems using information from a picture graph (symbol may
represent more than one)
 |
Interpret data given in percent
form on a circle graph and broken line graph |
New Vocabulary
in this Range: least often, how many ways, ordered pairs, coordinates,
distance formula
New Signs and
Symbols: none
Graphing
 |
Identify and order decimal and
fractional coordinates on a number line |
 |
Order integers on a number line |
New Vocabulary
in this Range: dice, arranged, highest mean
New Signs and
Symbols: none
Probability and Prediction
 |
Investigate experimental
probability of an event using a coin or spinner |
Statistics
 |
Know the concepts of mode, median,
and mean; compute and compare them in simple examples to demonstrate that
these measures of central tendency may differ for a given set of data |
Combinations and Permutations
 |
Use a tree diagram to determine the
number of possible outcomes of an event |
Graphing
 |
Interpret data given in horizontal
and vertical bar graphs to solve problems |
 |
Graph ordered pairs in all four
quadrants (coordinate geometry) |
New Vocabulary
in this Range: even numbers, mean, median, integer, intersection, table,
frequency, origin, quadrant
New Signs and
Symbols: none
Statistics
 |
Calculate range, mode, median, and
mean |
Graphing
 |
Find location of coordinates on a
number line |
 |
Place numbers in correct order on a
number line |
 |
Locate the vertex on a coordinate
grid |
 |
Create a table of (x, y) values for
the given linear equation and graph the function |
New Vocabulary
in this Range: vertex, fractional part, amount of sales, translation,
matrix, possibility, mean salary, coordinates of points
New Signs and
Symbols: none
Probability and Prediction
 |
Predict outcomes using a six-sided
cube |
Combinations and Permutations
 |
Find how many different ways a set
can be ordered |
Graphing
 |
Use a graph to predict some future
point in time |
 |
Determine endpoints and midpoint of
a line on a coordinate graph |
New Vocabulary
in this Range: coordinate, Venn diagram, greatest decrease, endpoints,
midpoint
New Signs and
Symbols: none
Probability and Prediction
 |
Calculate basic probability
theoretically and use results to make predictions |
Graphing
 |
Derive linear equations by using
the point-slope formula |
 |
Derive and solve problems involving
use of ordered pairs to determine area of a figure |
 |
Know the effect of rigid motions on
figures in the coordinate plane and space, including rotations, translations,
and reflections |
 |
Determine the axis of symmetry of a
linear graph |
New Vocabulary
in this Range: none
New Signs and
Symbols: none
Combinations and Permutations
 |
Perform complex combinations in
problem solving situations |
Graphing
 |
Determine how changes in dimensions
affect the perimeter, area, and volume of common geometric figures and solids |
New Vocabulary
in this Range: none
New Signs and
Symbols: none
|