| A1.1 | Add, subtract, multiply, and divide fractions with unlike denominators |
| A1.2 | Write large and small numbers in scientific notation and expand numbers written in scientific notation |
| A1.3 | Apply the order of operations to solve mathematical expressions |
| A2.1 | Write the equation of a line through two points, as well as lines parallel or perpendicular to a given line |
| A2.2 | Graph and solve linear equations |
| A2.3 | Solve systems of linear equations using graphing, substitution, and elimination |
| A3.1 | Define the imaginary number and simplify complex numbers |
| A3.2 | Solve quadratic equations using graphing, factoring, and the quadratic equation |
| A3.3 | Complete the square for a quadratic equation to determine the vertex of a parabola |
| A3.4 | Solve complicated quadratic equations |
| A3.5 | Factor polynomial functions |
| A3.6 | Use long division to simplify the division of polynomials |
| A4.1 | Write intervals in interval notation |
| A4.2 | Find the domain and range of various functions |
| A4.3 | Evaluate and simplify composite functions |
| A4.4 | Determine whether a function is even or odd |
| A4.5 | Find the inverse of a function, if it exists |
| A5.1 | Graph exponential functions |
| A5.2 | Rationalize the denominator of algebraic expressions |
| A5.3 | Simplify rational expressions |
| A5.4 | Find the zeroes of exponential functions |
| A5.5 | Evaluate logarithmic functions |
| A5.6 | Use the Laws of Logarithms to simplify logarithmic expressions |
| A5.7 | Solve exponential equations |
| A6.1 | Relate angles measured in degrees to radians |
| A6.2 | Define and evaluate the six simple trigonometric ratios |
| A6.3 | Graph the six simple trigonometric functions |
| A6.4 | Define and evaluate the inverse trigonometric functions |
| A6.5 | Solve trigonometric equations |
| A6.6 | Use the Laws of Sines and Cosines to solve application problems |
| A7.1 | Use the trigonometric addition formulas to simplify algebraic expressions |
| A7.2 | Use the trigonometric double and half angle identities to simplify algebraic expressions |
| A7.3 | Use various trigonometric identities to simplify algebraic expressions |
| A8.1 | Define the equation of a parabola given a focus and a directrix |
| A8.2 | Define the equations of the conic sections ellipse, hyperbola, and circle |
| A8.3 | Relate the graphs to the equations of the conic sections |
| S1.1 | Differentiate between natural and sampling variability |
| S1.2 | Identify IVPPSS for given situations |
| S1.3 | Differentiate among types of variables |
| S2.1 | Identify the parts of an EDA |
| S2.2 | Use various graphical tools to describe the shape of a distribution |
| S2.3 | Describe the center of a distribution using a variety of descriptors |
| S2.4 | Describe the dispersion of the data using range, IQR, variance, and standard deviation |
| S2.5 | Identify probable outliers in a sample |
| S2.6 | Identify correct situations to use mean vs. median and IQR vs. standard deviation |
| S2.7 | Compute the variance and standard deviation for a sample |
| S2.8 | Construct and interpret a boxplot for a sample |
| S2.9 | Construct and interpret a frequency table |
| S3.1 | Identify and describe the properties of a normal distribution |
| S3.2 | Standardize a variable into a test statistic using the mean and standard deviation |
| S3.3 | Find the area under a standard normal distribution between given values |
| S3.4 | Find the value of a measurement from a test statistic, mean, and standard deviation |
| S4.1 | Define and identify the important parts of experimental design |
| S4.2 | Define and identify the three basic principles of experimental design |
| S4.3 | Identify and differentiate among voluntary response, convenience, probability-based, and simple random sampling techniques |
| S4.4 | Use a random number table to conduct a simple random sample |
| S5.1 | Define a sampling distribution and compare it to a sample distribution |
| S5.2 | Define standard error and compare it to standard deviation |
| S5.3 | Differentiate between statistical accuracy and statistical precision |
| S5.4 | Define the central limit theorem and list its assumptions |
| S6.1 | Define confidence interval in terms of a parameter of interest and margin of error |
| S6.2 | Compute various confidence intervals using a Z test statistic |
| S6.3 | Interpret various confidence intervals using the Z test statistic |
| S7.1 | List the general steps to completing a statistical hypothesis test |
| S7.2 | Compare and contrast a null hypothesis with an alternative hypothesis |
| S7.3 | Relate alpha and beta to Type I and Type II errors |
| S7.4 | Define statistical power, relate it to beta, and identify ways to increase it in a hypothesis test |
| S8.1 | Identify the characteristics of a 1-sample Z test and apply it to solve a problem |
| S8.2 | Identify the characteristics of a t-distribution and differentiate it from a z-distribution |
| S8.3 | Identify the characteristics of a 1-sample t-test and apply it to solve a problem |
| S8.4 | Identify the characteristics of a 1-sample comparison of proportions test and apply it to solve a problem |
| S9.1 | Classify the association of bivariate data and graph using a scatterplot |
| S9.2 | Calculate the correlation coefficient of a set of bivariate data |
| S9.3 | Calculate the equation for the line of best fit for bivariate data |
| S9.4 | Define residual and calculate residuals for set of data |
| S9.5 | Calculate the coefficient of determination for a set of data |
| S9.6 | Identify the assumptions needed to calculate a least-squares linear regression (line of best fit) |
| S10.1 | Identify the characteristics of a 2-sample t-test and apply it to solve a problem |
| S10.2 | Identify the characteristics of a matched-pairs t-test and apply it to solve a problem |
| S10.3 | Identify the characteristics of a 2-sample comparison of proportions test and apply it to solve a problem |
| S10.4 | Identify the characteristics of a chi-squared test and apply it to solve a problem |
| S11.1 | Identify the characteristics of a 1-way ANOVA and apply it to solve a problem |
| S11.2 | Differentiate among the types of dependency that must be avoided to use an ANOVA |
| S12.1 | Define probability and calculate simple probability |
| S12.2 | Draw tree diagrams to solve counting problems |
| S12.3 | Use the counting rule to solve elementary probability problems |
| S12.4 | Calculate the number of possible permutations of a set of numbers |
| S12.5 | Calculate the number of possible combinations of a set of numbers |
| S12.6 | Calculate the mathematical expectation of an event |
| S12.7 | Calculate the odds in favor of an event occurring |
| S13.1 | Define mutually exclusive and identify events that are mutually exclusive |
| S13.2 | Use the addition rule of probability to solve problems |
| S13.3 | Define conditional probability and use it to solve problems |
| S13.4 | Use the multiplication rule of probability in coordination with conditional probability to solve problems |
| S13.5 | Use Bayes’ Formula to compute the probability of multiple interrelated events |
| S14.1 | Define discrete random variable and contrast it with a continuous random variable |
| S14.2 | Identify binomial variables and use the binomial distribution formula to determine probability |
| S14.3 | Calculate the mean of a random variable for a given probability distribution |
| S14.4 | Calculate the variance of a random variable for a given probability distribution |
| S14.5 | Calculate the mean of the binomial distribution |
| S14.6 | Calculate the variance and/or standard deviation of the binomial distribution |
| S14.7 | Use the Poisson probability distribution to calculate the probability for a situation |
| S14.8 | Use the Hypergeometric probability distribution to calculate the probability for a situation |
| P1 | Create a statistical model to predict future events (NCAA Tournament Model) |
| P2 | Effectively communicate through a reflection paper lessons learned through the development of the statistical model |
| P3 | Compare and contrast the community of Boyceville with the community represented in the movie Stand and Deliver. |
| SS1 | Use technology to calculate the standard deviation of a sample |
| SS2 | Use technology to calculate the summary statistics for a sample |
| SS3 | Use technology to calculate the correlation coefficient of a set of bivariate data |
| SS4 | Use technology to calculate the equation for the line of best fit for bivariate data |
| SS5 | Use technology to calculate the coefficient of determination for a set of data |