Georgia Math Standards
AA.DSR.2.1: Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. Distinguish between primary and secondary data and how it affects the types of conclusions that can be drawn.
Polling: City
Polling: Neighborhood
Populations and Samples
Sight vs. Sound Reactions
Time Estimation
AA.DSR.2.2: When collecting and considering data, critically evaluate ethics, privacy, potential bias, and confounding variables along with their implications for interpretation in answering a statistical investigative question. Implement strategies for organizing and preparing big data sets.
Reaction Time 1 (Graphs and Statistics)
Real-Time Histogram
Sight vs. Sound Reactions
Time Estimation
AA.DSR.2.3: Distinguish between population distributions, sample data distributions, and sampling distributions. Use sample statistics to make inferences about population parameters based on a random sample from that population and to communicate conclusions using appropriate statistical language.
Estimating Population Size
Polling: City
Polling: Neighborhood
Populations and Samples
AA.DSR.2.5: Given a normally distributed population, estimate percentages using the Empirical Rule, z-scores, and technology.
Polling: City
Real-Time Histogram
AA.DSR.2.6: Model sample-to-sample variability in sampling distributions of a statistic using simulations taken from a given population.
Polling: City
Polling: Neighborhood
Populations and Samples
AA.DSR.2.7: Given a margin of error, develop and compare confidence intervals of different models to make conclusions about reliability.
AA.FGR.3.1: Find the inverse of exponential and logarithmic functions using equations, tables, and graphs, limiting the domain of inverses where necessary to maintain functionality, and prove by composition or verify by inspection that one function is the inverse of another.
AA.FGR.3.2: Analyze, graph, and compare exponential and logarithmic functions.
AA.FGR.3.6: Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically.
Compound Interest
Exponential Growth and Decay
AA.FGR.4.2: Solve radical equations in one variable, and give examples showing how extraneous solutions may arise.
AA.FGR.4.3: Analyze and graph radical functions.
AA.FGR.4.4: Create, interpret and solve radical equations with one unknown value and use them to solve problems that model real-world situations.
AA.FGR.4.5: Create, interpret, and solve radical equations in two or more variables to represent relationships between quantities.
AA.FGR.5.1: Graph and analyze quadratic functions in contextual situations and include analysis of data sets with regressions.
AA.FGR.5.2: Define complex numbers i such that i² = –1 and show that every complex number has the form a + bi where a and b are real numbers and that the complex conjugate is a – bi.
Points in the Complex Plane
Roots of a Quadratic
AA.FGR.5.3: Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
AA.FGR.5.4: Use the structure of an expression to factor quadratics.
Factoring Special Products
Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c
AA.FGR.5.5: Write and solve quadratic equations and inequalities with real coefficients and use the solution to explain a mathematical, applicable situation.
Quadratic Inequalities
Quadratics in Factored Form
Roots of a Quadratic
AA.FGR.5.7: Create and analyze quadratic equations to represent relationships between quantities as a model for contextual situations.
AA.FGR.5.8: Identify the number of zeros that exist for any polynomial based upon the greatest degree of the polynomial and the end behavior of the polynomial by observing the sign of the leading coefficient.
Graphs of Polynomial Functions
Polynomials and Linear Factors
AA.FGR.5.9: Identify zeros of polynomial functions using technology or pre-factored polynomials and use the zeros to construct a graph of the function defined by the polynomial function. Analyze identify key features of these polynomial functions.
Graphs of Polynomial Functions
Polynomials and Linear Factors
AA.FGR.5.11: Using all the zeros of a polynomial function, list all the factors and multiply to write a multiple of the polynomial function in standard form.
Polynomials and Linear Factors
AA.PAR.6.1: Use matrices to represent data, and perform mathematical operations with matrices and scalars, demonstrating that some properties of real numbers hold for matrices, but that others do not.
AA.PAR.6.2: Rewrite a system of linear equations using a matrix representation.
Solving Linear Systems (Matrices and Special Solutions)
AA.PAR.6.3: Use the inverse of an invertible matrix to solve systems of linear equations.
Solving Linear Systems (Matrices and Special Solutions)
AA.PAR.6.4: Utilize linear programming to represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as solutions or non-solutions under the established constraints in real-world problems.
AA.GSR.7.1: Define the three basic trigonometric ratios in terms of x, y, and r using the unit circle centered at the origin of the coordinate plane.
Cosine Function
Sine Function
Tangent Function
AA.FGR.8.3: Graph rational functions, identifying key characteristics.
General Form of a Rational Function
Rational Functions
Correlation last revised: 5/26/2022