School City of Hobart
School City of Hobart Mathematics

Mathematics - IN: Probability and Statistics

Mathematics

The ISTEP+ assessment measures the academic performance of students in Mathematics.

The Indiana Academic Standards provide educators and administrators with a complete set of Indiana's K-12 academic standards for Mathematics. Schools should work to align curriculum instruction and classroom assessment with the new standards. While the standards set expectations for student learning they do not prescribe how the standards should be taught.

Teachers should use their skills, experience, talents, and resources to design classroom lessons to meet the individual needs of their students. With these new academic standards in place students in Indiana will be well equipped with the skills and knowledge to prepare them for the future.

IN: Probability and Statistics

The Indiana Academic Standards for Mathematics include standards for students in Probability and Statistics.


Data Interpretation
The Data Interpretation Unit includes Competencies/Objectives which focus on the study and use of graphical forms. Students collect and classify data, organize and display data, use logical reasoning, and problem solving.

    Data Collection
The learner will be able to collect data.
Strand Bloom's Scope Source
Data Collection and Classification Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1
  

Probability/Statistics
The Probability/Statistics Unit includes Competencies/Objectives which focus on data analysis and probability concepts. Students collect, analyze, and make sense of real world data (including overlapping data, inconclusive data, etc.).

    Central Tendency: Calculate/Apply
The learner will be able to calculate and apply the mean, median, mode, weighted mean, geometric mean, harmonic mean, range, quartiles, variance, and standard deviation.
Strand Bloom's Scope Source
Measures of Central Tendency Master IN: Academic Standards, 2000, Probability and Statistics, PS.1.2
  
    Mutually Exclusive: Find Probability
The learner will be able to comprehend and apply the addition rule to compute probabilities for mutually exclusive and non-mutually exclusive events.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.2
  
    Distribution: Calculate/Interpret
The learner will be able to calculate and interpret the mean and variance of a probability distribution.
Strand Bloom's Scope Source
Probability Distribution Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.7
  
    Problem Solving: Probability
The learner will be able to apply counting methods, permutations, and combinations to obtain solutions to probability problems.
Strand Bloom's Scope Source
Problem Solving Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1
  
    Probability Concepts: Comprehend
The learner will be able to comprehend hypothesis tests of means and differences between means and apply them in forming conclusions.
Strand Bloom's Scope Source
Probability Concepts Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.2
  
    Data Display: Make/Compare/Evaluate
The learner will be able to make, compare, and evaluate various graphical representations of the same data using histograms, frequency polygons, cumulative distribution functions, pie charts, scatterplots, stem-and-leaf pots, and box-and-whisker plots, creating these by hand or using a computer spreadsheet.
Strand Bloom's Scope Source
Data Display Master IN: Academic Standards, 2000, Probability and Statistics, PS.1.1
  
    Probability: Comprehend/Conditional
The learner will be able to comprehend the ideas of conditional probabilities.
Strand Bloom's Scope Source
Probability Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5
  
    Data: Fit/Straight Lines
The learner will be able to fit a straight line to given data.
Strand Bloom's Scope Source
Data Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3
  
    Measures of Central Tendency: Apply
The learner will be able to apply the measures of central tendency.
Strand Bloom's Scope Source
Measures of Central Tendency Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1
  
    Dependent/Independent: Multiplication
The learner will be able to comprehend how to calculate the probability of dependent and independent events using the multiplication principle.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.3
  
    Bayes' Theorem: Understand
The learner will be able to understand Bayes' Theorem.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5
  
    Dependent/Independent: Multiplication
The learner will be able to calculate the probability of dependent and independent events using the multiplication principle.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.3
  
    Complementary Events: Probability
The learner will be able to calculate the probability of complementary events.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.4
  
    Bayes' Theorem: Problem Solving
The learner will be able to apply Bayes' theorem to problems solving situations.
Strand Bloom's Scope Source
Independent/Dependent/Mutually Exclusive Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5
  
    Counting Methods: Understand Procedures
The learner will be able to comprehend counting procedures.
Strand Bloom's Scope Source
Counting Methods Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1
  
    Permutations: Understand/Counting Method
The learner will be able to develop an understanding of permutations as a method of counting.
Strand Bloom's Scope Source
Permutations Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1
  
    Combinations: Understand
The learner will be able to understand combinations.
Strand Bloom's Scope Source
Combinations Comprehension Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.1
  
    Probability Distributions: Solving
The learner will be able to obtain problem solutions through the use of probability distributions.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 2, PS.2.10
  
    Probability Distribution: Applying
The learner will be able to use a variety of probability distributions, such as binomial, geometric, multinomial etc.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.6
  
    Distribution: Apply/Normal
The learner will be able to apply the normal distribution.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.8
  
    Distribution: Curve of Best Fit/Squares
The learner will be able to determine the curve of best fit for collected data by applying the principle of least squares.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.3
  
    Central Limit Theorem
The learner will be able to apply the central limit theorem in solving problems.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.9
  
    Central Limit Theorem: Understand
The learner will be able to illustrate an understanding of the Central Limit Theorem.
Strand Bloom's Scope Source
Probability Distribution Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.9
  
    Confidence Intervals: Calculate
The learner will be able to calculate confidence intervals to formulate estimates.
Strand Bloom's Scope Source
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.1
  
    Confidence Intervals: Apply
The learner will be able to apply confidence intervals to formulate estimates.
Strand Bloom's Scope Source
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.1
  
    Intervals: Apply/Confidence
The learner will be able to apply confidence intervals and hypothesis tests.
Strand Bloom's Scope Source
Intervals Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3
  
    Variate: Continuous/Problem Solving
The learner will be able to solve problems using continuous random variables.
Strand Bloom's Scope Source
Probability Functions Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.10
  
    Variate: Discrete/Apply
The learner will be able to apply discrete random variables in probability situations.
Strand Bloom's Scope Source
Probability Functions Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.6
  
    Variability: Apply
The learner will be able to apply measures of variability.
Strand Bloom's Scope Source
Correlation/Deviation/Variance Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1
  
    Correlation: Coefficient/Compute
The learner will be able to compute the correlation coefficient for collected data.
Strand Bloom's Scope Source
Correlation/Deviation/Variance Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 3, PS.3.4
  
    Correlation: Coefficient/Interpret
The learner will be able to interpret the correlation coefficient for collected data.
Strand Bloom's Scope Source
Correlation/Deviation/Variance Analysis Master IN: Academic Standards, 2000, Probability and Statistics, PS.3.4
  
    Problem Solving: Probability
The learner will be able to apply probability to obtain solutions to problems.
Strand Bloom's Scope Source
Problem Solving Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 2
  
    Problem Solving: Conditional Probability
The learner will be able to use conditional probability to problem solve.
Strand Bloom's Scope Source
Problem Solving Application Master IN: Academic Standards, 2000, Probability and Statistics, PS.2.5
  
    Data Display
The learner will be able to display data.
Strand Bloom's Scope Source
Data Display Application Master IN: Academic Standards, 2000, Probability and Statistics, Standard 1
  

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