Mathematics - IN: Probability and Statistics

Mathematics

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·	IN: Grade 1
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School City of Hobart

School City of Hobart Mathematics

Mathematics - IN: Probability and Statistics

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Goals and Descriptions

Data Interpretation | Probability/Statistics

Data Interpretation

Data Interpretation Description

Data Collection
The learner will be able to collect data.

Strand	Bloom's	Scope	Source	Activities
Data Collection and Classification	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 1	Classroom

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Probability/Statistics

Probability/Statistics Description

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	Activities
Measures of Central Tendency		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.1.2	Classroom

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	Activities
Independent/Dependent/Mutually Exclusive		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.2	Classroom

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	Activities
Probability Distribution		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.7	Classroom

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	Activities
Problem Solving		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.1	Classroom

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	Activities
Probability Concepts		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.3.2	Classroom

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	Activities
Data Display		Master	IN: Academic Standards, 2000, Probability and Statistics, PS.1.1	Classroom

Probability: Comprehend/Conditional
The learner will be able to comprehend the ideas of conditional probabilities.

Strand	Bloom's	Scope	Source	Activities
Probability	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.5	Classroom

Data: Fit/Straight Lines
The learner will be able to fit a straight line to given data.

Strand	Bloom's	Scope	Source	Activities
Data	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 3	Classroom

Measures of Central Tendency: Apply
The learner will be able to apply the measures of central tendency.

Strand	Bloom's	Scope	Source	Activities
Measures of Central Tendency	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 1	Classroom

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	Activities
Independent/Dependent/Mutually Exclusive	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.3	Classroom

Bayes' Theorem: Understand
The learner will be able to understand Bayes' Theorem.

Strand	Bloom's	Scope	Source	Activities
Independent/Dependent/Mutually Exclusive	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.5	Classroom

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	Activities
Independent/Dependent/Mutually Exclusive	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.3	Classroom

Complementary Events: Probability
The learner will be able to calculate the probability of complementary events.

Strand	Bloom's	Scope	Source	Activities
Independent/Dependent/Mutually Exclusive	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.4	Classroom

Bayes' Theorem: Problem Solving
The learner will be able to apply Bayes' theorem to problems solving situations.

Strand	Bloom's	Scope	Source	Activities
Independent/Dependent/Mutually Exclusive	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.5	Classroom

Counting Methods: Understand Procedures
The learner will be able to comprehend counting procedures.

Strand	Bloom's	Scope	Source	Activities
Counting Methods	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.1	Classroom

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	Activities
Permutations	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.1	Classroom

Combinations: Understand
The learner will be able to understand combinations.

Strand	Bloom's	Scope	Source	Activities
Combinations	Comprehension	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.1	Classroom

Probability Distributions: Solving
The learner will be able to obtain problem solutions through the use of probability distributions.

Strand	Bloom's	Scope	Source	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 2, PS.2.10	Classroom

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	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.6	Classroom

Distribution: Apply/Normal
The learner will be able to apply the normal distribution.

Strand	Bloom's	Scope	Source	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.8	Classroom

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	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.3.3	Classroom

Central Limit Theorem
The learner will be able to apply the central limit theorem in solving problems.

Strand	Bloom's	Scope	Source	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.9	Classroom

Central Limit Theorem: Understand
The learner will be able to illustrate an understanding of the Central Limit Theorem.

Strand	Bloom's	Scope	Source	Activities
Probability Distribution	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.9	Classroom

Confidence Intervals: Calculate
The learner will be able to calculate confidence intervals to formulate estimates.

Strand	Bloom's	Scope	Source	Activities
Intervals	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.3.1	Classroom

Confidence Intervals: Apply
The learner will be able to apply confidence intervals to formulate estimates.

Strand	Bloom's	Scope	Source	Activities
Intervals	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.3.1	Classroom

Intervals: Apply/Confidence
The learner will be able to apply confidence intervals and hypothesis tests.

Strand	Bloom's	Scope	Source	Activities
Intervals	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 3	Classroom

Variate: Continuous/Problem Solving
The learner will be able to solve problems using continuous random variables.

Strand	Bloom's	Scope	Source	Activities
Probability Functions	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.10	Classroom

Variate: Discrete/Apply
The learner will be able to apply discrete random variables in probability situations.

Strand	Bloom's	Scope	Source	Activities
Probability Functions	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.6	Classroom

Variability: Apply
The learner will be able to apply measures of variability.

Strand	Bloom's	Scope	Source	Activities
Correlation/Deviation/Variance	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 1	Classroom

Correlation: Coefficient/Compute
The learner will be able to compute the correlation coefficient for collected data.

Strand	Bloom's	Scope	Source	Activities
Correlation/Deviation/Variance	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 3, PS.3.4	Classroom

Correlation: Coefficient/Interpret
The learner will be able to interpret the correlation coefficient for collected data.

Strand	Bloom's	Scope	Source	Activities
Correlation/Deviation/Variance	Analysis	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.3.4	Classroom

Problem Solving: Probability
The learner will be able to apply probability to obtain solutions to problems.

Strand	Bloom's	Scope	Source	Activities
Problem Solving	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 2	Classroom

Problem Solving: Conditional Probability
The learner will be able to use conditional probability to problem solve.

Strand	Bloom's	Scope	Source	Activities
Problem Solving	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, PS.2.5	Classroom

Data Display
The learner will be able to display data.

Strand	Bloom's	Scope	Source	Activities
Data Display	Application	Master	IN: Academic Standards, 2000, Probability and Statistics, Standard 1	Classroom

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