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Norwin School District |
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Norwin High School Mathematics |
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Mathematics - Grade 11-12 Advanced Placement Statistic |
Counting Methods: Apply
The learner will be able to
apply counting methods.
| Strand |
Source |
Activities |
| Counting Methods |
GA: Quality Core Curriculum, December 2000, Statistics, #16 |
Classroom
|
|
Combinations/Permutations: Difference
The learner will be able to
recognize and/or discern the differences between combinations and permutations, and/or find n things taken r at a time for each.
| Strand |
Source |
Activities |
| Combinations |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #40 |
Classroom
|
|
Series: Sigma Notation
The learner will be able to
show a series in correct sigma notation.
| Strand |
Source |
Activities |
| Series |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #33 |
Classroom
|
|
Sampling: Concepts
The learner will be able to
know the differences between a population and a sample, recognize the characteristics of a representative sample in order to minimize bias and error, and/or identify the variability among repeated samples taken from the same population.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Statistics, #8 |
Classroom
|
|
Statistics: Society/Use
The learner will be able to
interpret findings from polls and/or surveys that are covered in the media including public opinion polls, Nielsen ratings, U.S. Census, and/or surveys that determine the consumer price index.
| Strand |
Source |
Activities |
| Statistics |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #28 |
Classroom
|
|
Statistics: Society/Use
The learner will be able to
apply the media in identifying examples that use statistics correctly, as well as to recognize and correct improper uses of statistics.
| Strand |
Source |
Activities |
| Statistics |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #30 |
Classroom
|
|
Statistics: Proper/Improper Use
The learner will be able to
recognize proper applications of statistics in decision making situations and correct the misuses of statistics.
| Strand |
Source |
Activities |
| Statistics |
GA: Quality Core Curriculum, December 2000, Statistics, #7 |
Classroom
|
|
Statistics: Identify/Misuses
The learner will be able to
identify the misuses of statistics.
| Strand |
Source |
Activities |
| Statistics |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #42 |
Classroom
|
|
Data Collection: Discuss/Interpret
The learner will be able to
gather data and/or discuss and interpret the findings.
| Strand |
Source |
Activities |
| Data Collection and Classification |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #5 |
Classroom
|
|
Circle Graphs: Construct/Illustrate/Data
The learner will be able to
construct circle graphs to illustrate data.
| Strand |
Source |
Activities |
| Circle Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Circle Graphs: Interpret
The learner will be able to
interpret data shown in a circle graph.
| Strand |
Source |
Activities |
| Circle Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Bar Graphs: Create
The learner will be able to
create bar graphs to display data.
| Strand |
Source |
Activities |
| Bar Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Bar Graphs: Interpret
The learner will be able to
interpret information given in bar graphs.
| Strand |
Source |
Activities |
| Bar Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Line Graphs: Construct
The learner will be able to
construct line graphs.
| Strand |
Source |
Activities |
| Line Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Line Graphs: Interpret
The learner will be able to
interpret data shown in a line graph.
| Strand |
Source |
Activities |
| Line Graphs |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Stem-and-Leaf Plots: Create
The learner will be able to
create stem-and-leaf plots.
| Strand |
Source |
Activities |
| Stem-and-Leaf/Box-and-Whisker Plots |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Stem-and-Leaf Plots: Interpret
The learner will be able to
interpret data shown in a stem-and-leaf graph.
| Strand |
Source |
Activities |
| Stem-and-Leaf/Box-and-Whisker Plots |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Box-and-Whisker Plots: Create
The learner will be able to
create a box-and-whisker plot.
| Strand |
Source |
Activities |
| Stem-and-Leaf/Box-and-Whisker Plots |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
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Box-and-Whisker Plots: Interpret
The learner will be able to
interpret data shown in a box-and-whisker graph.
| Strand |
Source |
Activities |
| Stem-and-Leaf/Box-and-Whisker Plots |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
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Data: Organize/Summarize/Characterize
The learner will be able to
organize, summarize, and/or characterize information from his or her own environment through the use of tables and descriptive statistics including median, mean, mode, quartiles, percentiles, range, and/or interquartile range.
| Strand |
Source |
Activities |
| Data |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #7 |
Classroom
|
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Data: Organize/Summarize/Characterize
The learner will be able to
organize, summarize, characterize, and/or interpret information obtained from practical situations using relevant data sets through the construction of tables, graphs, and/or charts such as frequency distributions, histograms, line plots, stem-and-leaf plots, box plots, and/or scatterplots for bivariate data.
| Strand |
Source |
Activities |
| Data |
GA: Quality Core Curriculum, December 2000, Statistics, #1 |
Classroom
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Data: Plot Experimental
The learner will be able to
graph experimental data and talk about potential interpretations.
| Strand |
Source |
Activities |
| Data |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #19 |
Classroom
|
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Data Display: Graphically
The learner will be able to
create graphic displays of data.
| Strand |
Source |
Activities |
| Data Display |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #41 |
Classroom
|
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Data Analysis: Trends
The learner will be able to
recognize potential trends in data that may include patterns, clusters, and/or outliers.
| Strand |
Source |
Activities |
| Data Analysis |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #8 |
Classroom
|
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Data Analysis: Recognize/Trends
The learner will be able to
recognize potential trends in data presented graphically that may include patterns, clusters, and outliers.
| Strand |
Source |
Activities |
| Data Analysis |
GA: Quality Core Curriculum, December 2000, Statistics, #3 |
Classroom
|
|
Average: Calculate
The learner will be able to
calculate averages.
| Strand |
Source |
Activities |
| Average/Median/Mode/Range |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #36 |
Classroom
|
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Data Analysis: Summarize
The learner will be able to
apply the measures of central tendency and variability to summarize data.
| Strand |
Source |
Activities |
| Data Analysis |
GA: Quality Core Curriculum, December 2000, Statistics, #2 |
Classroom
|
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Data Analysis
The learner will be able to
use the mean, median, mode, variance and standard deviation to analyze data.
| Strand |
Source |
Activities |
| Data Analysis |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #42 |
Classroom
|
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Frequency: Create Histograms
The learner will be able to
create histograms.
| Strand |
Source |
Activities |
| Frequency |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
|
Frequency: Interpret/Histograms
The learner will be able to
interpret data shown in a histogram.
| Strand |
Source |
Activities |
| Frequency |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #6 |
Classroom
|
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Data: Analyzing
The learner will be able to
analyze data.
| Strand |
Source |
Activities |
| Data |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #44 |
Classroom
|
|
Scatterplots: Create/Interpret
The learner will be able to
create and/or interpret scatterplots of bivariate data and formulate predictions through the application of the median fit line.
| Strand |
Source |
Activities |
| Scatterplots |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #9 |
Classroom
|
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Data: Analyze Bivariate
The learner will be able to
analyze bivariate data that is displayed graphically and/or forecast results by fitting a line to the data, using many different methods and/or tools including technology as needed.
| Strand |
Source |
Activities |
| Data |
GA: Quality Core Curriculum, December 2000, Statistics, #4 |
Classroom
|
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Correlation: Understanding
The learner will be able to
comprehend the idea of correlation as the measure of the linear association between two variables.
| Strand |
Source |
Activities |
| Correlation/Deviation/Variance |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #10 |
Classroom
|
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Correlation: Compute/Investigate
The learner will be able to
characterize the correlation, compute the correlation coefficient, and determine if there exists a linear relationship for a particular bivariate scatter plot/data set, and investigate nonlinear relationships between the variables using a grapher and make comparisons of their correlation coefficients.
| Strand |
Source |
Activities |
| Correlation/Deviation/Variance |
GA: Quality Core Curriculum, December 2000, Statistics, #5 |
Classroom
|
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Predictions: Regression Techniques
The learner will be able to
forecast predictions from collected data by applying regression techniques.
| Strand |
Source |
Activities |
| Predictions |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #12 |
Classroom
|
|
Probability: Define
The learner will be able to
make a definition of probability that involves the concepts of sample space, outcomes, and/or events.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #38 |
Classroom
|
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Probability: Calculate
The learner will be able to
compute the probability of the union and intersection of two events, the probability of the complement, and/or the conditional probability.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Statistics, #16 |
Classroom
|
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Theoretical Probability: Assign
The learner will be able to
designate theoretical probabilities to events that are equally likely to occur.
| Strand |
Source |
Activities |
| Theoretical Probability |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #15 |
Classroom
|
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Probability: Estimate
The learner will be able to
apply student generated data sets, games of chance, manipulatives, and/or historic data to form estimates of probabilities within an empirical context.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Statistics, #13 |
Classroom
|
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Probability: Assign
The learner will be able to
give probability measures to the outcomes of random variables.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Statistics, #18 |
Classroom
|
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Probability: Identify/Complementary
The learner will be able to
identify complementary events.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #16 |
Classroom
|
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Complementary Events: Probability
The learner will be able to
calculate the probability of complementary events.
| Strand |
Source |
Activities |
| Independent/Dependent/Mutually Exclusive |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #16 |
Classroom
|
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Probability: Compound
The learner will be able to
determine the probabilities of compound events (dependent and independent).
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #16 |
Classroom
|
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Independent/Dependent Events
The learner will be able to
find the probability of both dependent and independent events.
| Strand |
Source |
Activities |
| Independent/Dependent/Mutually Exclusive |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #39 |
Classroom
|
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Independent/Dependent Events: Discern
The learner will be able to
note the differences between independent and dependent events.
| Strand |
Source |
Activities |
| Independent/Dependent/Mutually Exclusive |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #16 |
Classroom
|
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Probability: Conditional
The learner will be able to
calculate the probability of a conditional event.
| Strand |
Source |
Activities |
| Independent/Dependent/Mutually Exclusive |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #39 |
Classroom
|
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Probability: Manipulatives
The learner will be able to
apply manipulatives to create random outcomes, data sets from student observation and data collection, and computer generated data to determine experimental probabilities.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #12 |
Classroom
|
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Experiments: Apply Results
The learner will be able to
use the findings of active experiments to illustrate the Law of Large Numbers and formulate the idea of theoretical probability.
| Strand |
Source |
Activities |
| Experiments |
GA: Quality Core Curriculum, December 2000, Statistics, #13 |
Classroom
|
|
Probability: Distinguish/Odds
The learner will be able to
distinguish between the odds and probability of an event.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Statistics, #17 |
Classroom
|
|
Probability: Find/Odds/For/Against
The learner will be able to
find odds for and odds against a specific scenario.
| Strand |
Source |
Activities |
| Probability |
GA: Quality Core Curriculum, December 2000, Statistics, #17 |
Classroom
|
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Functions: Define/Graph
The learner will be able to
define and graph the following types of functions: identity, constant, absolute value, step, greatest integer, polynomial, linear, quadratic, square root, and piecewise.
| Strand |
Source |
Activities |
| Functions |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #6 |
Classroom
|
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Probability Distributions: Distinguish
The learner will be able to
determine the differences that exist between discrete and continuous probability distributions.
| Strand |
Source |
Activities |
| Probability Distribution |
GA: Quality Core Curriculum, December 2000, Statistics, #19 |
Classroom
|
|
Probability Distribution: Recognize
The learner will be able to
recognize typical statistical distributions.
| Strand |
Source |
Activities |
| Probability Distribution |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #43 |
Classroom
|
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Simulations: Practical Problems
The learner will be able to
simulate practical problems where the success probability may be exactly 1/2 or some other value, as well as for scenarios where the number of key components is unknown.
| Strand |
Source |
Activities |
| Event Simulation |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #18 |
Classroom
|
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Probability Distributions: Solving
The learner will be able to
obtain problem solutions through the use of probability distributions.
| Strand |
Source |
Activities |
| Probability Distribution |
GA: Quality Core Curriculum, December 2000, Statistics, #19 |
Classroom
|
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Binomial Expansion: Simplify
The learner will be able to
apply the Binomial Theorem to simplify expressions.
| Strand |
Source |
Activities |
| Binomial Expansion |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #37 |
Classroom
|
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Binomial Theorem: Expanding
The learner will be able to
expand powers of binomial expressions by applying the Binomial Theorem.
| Strand |
Source |
Activities |
| Binomial Expansion |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #37 |
Classroom
|
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Sampling: Create/Distributions/Binomial
The learner will be able to
apply student experiments, random number tables, and computer simulations to create sampling distributions from binomial populations.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Statistics, #20 |
Classroom
|
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Simulations: Perform
The learner will be able to
perform simulations for problems where the probability of success is either known or unknown and perform simulations containing many vital components.
| Strand |
Source |
Activities |
| Event Simulation |
GA: Quality Core Curriculum, December 2000, Statistics, #15 |
Classroom
|
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Variate: Expected Value
The learner will be able to
calculate the expected value of a variate.
| Strand |
Source |
Activities |
| Probability Functions |
GA: Quality Core Curriculum, December 2000, Statistics, #18 |
Classroom
|
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Random Variable: Calculate
The learner will be able to
calculate the expected value of random variables in simple contexts.
| Strand |
Source |
Activities |
| Randomness |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #17 |
Classroom
|
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Data Collection: Experimental Models
The learner will be able to
gather and/or study data through the application of experimental models and random number tables/generators.
| Strand |
Source |
Activities |
| Data Collection |
GA: Quality Core Curriculum, December 2000, Statistics, #11 |
Classroom
|
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Formulas: Determine/Triangle/Area
The learner will be able to
apply a suitable formula to determine the area for any triangle.
| Strand |
Source |
Activities |
| Formulas |
GA: Quality Core Curriculum, December 2000, Advanced Algebra and Trigonometry, #19 |
Classroom
|
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Distribution: Normal Curve
The learner will be able to
apply the properties of the normal curve to formulate inferences about sets of data that are assumed to be normally distributed.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
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Distributions: Recognize/Normal
The learner will be able to
recognize properties of a normal distribution.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
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Probability Distribution: Normal
The learner will be able to
obtain problem solutions that involve normal distributions.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
|
Probability Distribution: Apply/Normal
The learner will be able to
apply the normal distribution in its basic applications.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
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Distribution: Apply/Normal
The learner will be able to
apply the normal distribution.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
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Probability Distribution: Apply/Normal
The learner will be able to
apply the concept of normal distribution and its properties to answer questions about data sets.
| Strand |
Source |
Activities |
| Probability Distribution |
Norwin School District |
Classroom
|
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Sampling: Concepts
The learner will be able to
comprehend the idea of randomness in the context of sample selection and recognize other sampling methods suitable to given situations.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Statistics, #9 |
Classroom
|
|
Sampling: Methods
The learner will be able to
note the differences among sampling methods and comprehend the idea of randomness.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #26 |
Classroom
|
|
Sampling: Create
The learner will be able to
create and/or interpret 90% box plots for a variety of sample sizes and apply them in summarizing the sampling distribution.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Statistics, #21.; GA: Quality Core Curriculum, December 2000, Concepts of Probability and Statistics, #21 |
Classroom
|
|
Sampling: Create
The learner will be able to
create and interpret 95% box plots for a variety of sample sizes and apply them in summarizing the sampling distribution.
| Strand |
Source |
Activities |
| Sampling |
GA: Quality Core Curriculum, December 2000, Statistics, #21 |
Classroom
|
|
Experiments: Plan/Conduct
The learner will be able to
plan and/or perform experiments and/or identify the aspects of an investigation that affect the results, including sample size and bias.
| Strand |
Source |
Activities |
| Experiments |
GA: Quality Core Curriculum, December | | |
