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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

bulletUse 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

bulletDetermine an outcome and make a prediction (single event)

Graphing

bulletUnderstand the concept of addition using concrete objects
bulletRepresent 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

bulletInterpret a table and make predictions (chance)
bulletPredict the likely number of times a condition will occur based on an analysis of data

Graphing

bulletComplete and interpret simple picture graphs, bar graphs, line graphs or tables using the key to indicate the quantity represented by each symbol
bulletGraph ordered pairs in the first quadrant
bulletIdentify 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

bulletSolve 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

bulletDevelop concept of chance and make predictions for events (ex. rolling a number dice)

Statistics

bulletUse tallies to record data
bulletCompute averages with a given set of data

Combinations and Permutations

bulletSolve problems involving combinations or permutations

Graphing

bulletUse a number line to write number sentences using subtraction
bulletSolve problems using information from a bar graph
bulletSolve multi-step word problems with pictographs, bar graphs, or line graphs
bulletConstruct, and solve word problems involving line graphs
bulletConstruct and solve word problems involving circle graphs
bulletRead 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

bulletCompute simple probability outcomes
bulletDetermine the probability of an outcome (multiple events)
bulletUse the counting principle to determine probability

Statistics

bulletSolve practical problems involving the mean (average) of a set of numbers

Graphing

bullet

Solve problems using information from a picture graph (symbol may represent more than one)

bulletInterpret 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

bulletIdentify and order decimal and fractional coordinates on a number line
bulletOrder 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

bulletInvestigate experimental probability of an event using a coin or spinner

Statistics

bulletKnow 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

bulletUse a tree diagram to determine the number of possible outcomes of an event

Graphing

bulletInterpret data given in horizontal and vertical bar graphs to solve problems
bulletGraph 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

bulletCalculate range, mode, median, and mean

Graphing

bulletFind location of coordinates on a number line
bulletPlace numbers in correct order on a number line
bulletLocate the vertex on a coordinate grid
bulletCreate 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

bulletPredict outcomes using a six-sided cube

Combinations and Permutations

bulletFind how many different ways a set can be ordered

Graphing

bulletUse a graph to predict some future point in time
bulletDetermine 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

bulletCalculate basic probability theoretically and use results to make predictions

Graphing

bulletDerive linear equations by using the point-slope formula
bulletDerive and solve problems involving use of ordered pairs to determine area of a figure
bulletKnow the effect of rigid motions on figures in the coordinate plane and space, including rotations, translations, and reflections
bulletDetermine 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

bulletPerform complex combinations in problem solving situations

Graphing

bulletDetermine 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

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