Northwest Evaluation Association Learning Continuum Release 1.0

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