| Mathematics
Content Standards Statistics Standards and Objectives |
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| Class Stnd | Dist. Stnds | Text Chpt. | Major Objective/ Category | Standard |
| 1.1 | 1.1 | 1 | Number Sense & Data | Demonstrate an understanding of discrete & continuous variables |
| 1.1 | 1.1 | 1 | Number Sense & Data | Determine if a variable is nominal, ordinal, interval, or ratio |
| 1.1 | 1.1 | 1 | Number Sense & Data | Explain what is meant by a random variable |
| 1.2 | 4.1 | 1 | Number Sense & Data | Demonstrate ability to collect and organize data |
| 1.2 | 5.6 | 1 | Number Sense & Data | Collect data for observational studies |
| 1.3 | 3.2 | 1 | Number Sense & Data | Explain parameter and variability of a statistic |
| 2.1 | 4.1 | 2.2 | Displaying & Presenting Data | Demonstrate Knowledge of frequency distributions & be able to construct them for both ungrouped and grouped data |
| 2.2 | 4.1 | 2 | Displaying & Presenting Data | Be able to construct Histograms, Ogives, Pie, Stem & Leaf, and Box Plots |
| 2.4 | 2.1 | 3.2 | Interpreting & Explaining Data | Be able to describe distribution shapes; skews, symmetrical, etc. |
| 2.5 | 4.1 | 3.5 | Interpreting & Explaining Data | Understand what is meant by Quartiles, Percentiles & IQR. |
| 3.1 | 3.1 | 3.2 | Measures of Distribution & Position | Compute measures of Central Tendency (mean, median, mode) |
| 3.2 | 3.1 | 3.3 | Measures of Distribution & Position | Compute measures of Spread; Range, Variance & Standard Deviation |
| 3.3 | 3.1 | 3.4 | Measures of Distribution & Position | Compute measures of Position (Deciles, Percentiles, Quartiles, IQR…) |
| 3.4 | 3.1 | 3.2 | Measures of Distribution & Position | Be able to distinguish distributions as Normal, Binomial, Exponential |
| 4.0 | 4.2 | Principles of Probability | Use a tree diagram to determine the possibilities of a sequence of events | |
| 4.1 | 1.4 | 4.4 | Principles of Probability | Determine the number of outcomes of a sequence of events using permutation rules |
| 4.2 | 1.4 | 4.5 | Principles of Probability | Determine the number of outcomes of a sequence of events using combination rules |
| 4.3 | 5.5 | 5.2 | Principles of Probability | Understand the law of Large numbers |
| 4.4 | 5.3 | 5.2 | Principles of Probability | Solve probability problems with finite sample spaces |
| 4.5 | 5.3 | Principles of Probability | Determine whether two or more events are independent in order to use the rules of addition to find the probability of an event occurring | |
| 4.6 | 5.4 | Principles of Probability | Determine the number of outcomes of a sequence of events using multiplication rules | |
| 4.7 | 5.4 | 5.4 | Principles of Probability | Understand conditional probabilities. |
| 4.8 | 5.4 | Principles of Probability | Determine whether two or more events are mutually exclusive in order to use the rules of multiplication to find the probability of an event occurring | |
| 4.9 | 5.2-5.4 | Principles of Probability | Find the complement of an event and its probability. | |
| 5.1 | 6.2 | Probability Distributions | Know the differences between Empirical & Theoretical Probability | |
| 5.1 | 6.2 | Probability Distributions | Know how to make a sample space/probability distribution | |
| 5.2 | 1.2 | 6.3 | Probability Distributions | Find mean, std deviation, & expected value of a probability distribution |
| 5.3 | 1.2 | 6.4 | Probability Distributions | Find via table or compute the mean & std deviation of a binomial distribution |
| 6.0 | 1.3 | Normal Distribution | Perform operations on sampling distributions using Central Limit Theorem | |
| 6.1 | 7.2 | Normal Distribution | Identify properties of a normal distribution | |
| 6.2 | 7.3 | Normal Distribution | Find the areas under a normal distribution curve | |
| 6.3 | 7.3 | Normal Distribution | Find the probabilities using a standard normal distribution | |
| 6.4 | 7.3 | Normal Distribution | Find the z-scores corresponding to given areas or percentiles on a normal distribution curve | |
| 6.5 | 7.4 | Normal Distribution | Find the probabilities for a normally distributed random variable by transforming it into a standard normal z-score | |
| 6.6 | 7.4 | Normal Distribution | Use the normal distribution to find specific data values for given percentages | |
| 7.0 | 6.2 | Sampling Techniques | Plan & Conduct a survey using various random sampling techniques | |
| 7.1 | 6.3 | Sampling Techniques | Understand Sources of Bias | |
| 7.2 | Sampling Techniques | Know and understand the Central Limit theorem to answer questions about sample means when the population is large. | ||
| 7.3 | Sampling Techniques | Know when & how to use the finite correction factor to calculate the standard error of the mean | ||
| 8.1 | Principles of Inference | Know how to determine confidence intervals for means | ||
| 8.2 | 2.2 | Principles of Inference | Understand properties of normal distribution and sampling distribution | |
| 8.3 | Principles of Inference | Demonstrate a knowledge of point estimates and interval estimates | ||
| 8.4 | 2.3 | Principles of Inference | Understand and apply the properties of binomial distribution | |
| 8.5 | 2.4 | Principles of Inference | use the approximation of the binomial distribution | |
| 8.6 | Principles of Inference | Find confidence interval of the mean using either z-distribution or t-distributions. | ||
| 8.7 | Principles of Inference | Determine the sample size needed for estimating the mean of a population using a specified confidence level and maximum error. | ||