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
RIT scores between 151 and 160
Graphing
- Use
pictographs or bar graphs to compare quantities
New Vocabulary in this Range: none
New Signs and Symbols: none
RIT scores between 161 and 170
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
RIT scores between 171 and 180
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
RIT scores between 181 and 190
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
RIT scores between 191 and 200
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: %
RIT scores between 201 and 210
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
RIT scores between 211 and 220
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
RIT scores between 221 and 230
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
RIT scores between 231 and 240
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
RIT scores between 241 and 250
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
RIT scores between 251 and 260
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
RIT scores between 261 and 300
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