Virginia flagVirginia: Algebra, Functions, and Data Analysis Math Standards

52 standards ยท 2 domains

ALGEBRA AND FUNCTIONS

  • AFDA.AF.1.a Identify graphs and equations of parent functions for linear, quadratic, and exponential function families.
  • AFDA.AF.1.b Describe the transformation from the parent function given the equation or the graph of the function.
  • AFDA.AF.1.c Determine and analyze whether a linear, quadratic, or exponential function best models a given representation, including those in context.
  • AFDA.AF.1.d Write the equation of a linear, quadratic, or exponential function, given a graph, using transformations of the parent function.
  • AFDA.AF.1.e Use a graphical or algebraic representation of a function to solve problems within a context, graphically and algebraically, when appropriate.
  • AFDA.AF.1.f Graph a function given the equation of a function, using transformations of the parent function. Use technology to verify transformations of functions.
  • AFDA.AF.1.g Compare and contrast linear, quadratic, and exponential functions using multiple representations (e.g., graphs, tables, equations, verbal descriptions).
  • AFDA.AF.2.a Determine the domain and range of a function given a graphical representation, including those limited by contexts.
  • AFDA.AF.2.b Identify intervals on a graph for which a function is increasing, decreasing, or constant.
  • AFDA.AF.2.c Given a graph, identify the location and value of the absolute maximum and absolute minimum of a function over the domain of a function.
  • AFDA.AF.2.d Given a graph, determine the zeros and intercepts of a function.
  • AFDA.AF.2.e Describe and recognize the connection between points on the graph and the value of a function.
  • AFDA.AF.2.f Describe the end behavior of a function given its graph.
  • AFDA.AF.2.g Identify horizontal and/or vertical asymptotes from the graph of a function, if they exist.
  • AFDA.AF.2.h Describe and relate the characteristics of the graphs of linear, quadratic, exponential, and piecewise-defined functions, including those in contextual situations.
  • AFDA.AF.3.a Represent and interpret contextual problems requiring optimization with systems of linear equations or inequalities.
  • AFDA.AF.3.b Solve systems of no more than four equations or inequalities graphically and when appropriate, algebraically.
  • AFDA.AF.3.c Identify the feasible region of a system of linear inequalities.
  • AFDA.AF.3.d Identify the coordinates of the vertices of a feasible region.
  • AFDA.AF.3.e Determine and describe the maximum or minimum value for the function defined over a feasible region.
  • AFDA.AF.3.f Interpret the validity of possible solution(s) algebraically, graphically, using technology, and in context and justify the reasonableness of the answer(s) or the solution method in context.

DATA ANALYSIS

  • AFDA.DA.1.a Formulate investigative questions that require the collection or acquisition of bivariate data, where exactly two of the variables are quantitative.
  • AFDA.DA.1.b Collect or acquire bivariate data from a representative sample to answer an investigative question.
  • AFDA.DA.1.c Represent bivariate data with a scatterplot using technology and describe how the variables are related in terms of the given context.
  • AFDA.DA.1.d Make predictions, decisions, and critical judgments using data, scatterplots, or the equation(s) of the mathematical model.
  • AFDA.DA.2.a Formulate questions that can be addressed with data and assess the type of data relevant to the question (e.g., quantitative versus categorical).
  • AFDA.DA.2.b Investigate, describe, and determine best sampling techniques, such as simple random sampling, stratified sampling, and cluster sampling.
  • AFDA.DA.2.c Plan and conduct an experiment and/or observational study. The experimental design should address control, randomization, and minimization of experimental error.
  • AFDA.DA.2.d Collect or acquire data to answer a statistical question.
  • AFDA.DA.2.e Recognize that data may contain errors, have missing values, or may be biased, and make decisions about how to account for these issues.
  • AFDA.DA.2.f Identify biased sampling methods.
  • AFDA.DA.2.g Given a plan for an observational study, identify possible sources of bias, and describe ways to reduce bias.
  • AFDA.DA.2.h Select, create, and use appropriate visual representations of data to brainstorm solutions.
  • AFDA.DA.2.i Use appropriate statistical methods to analyze data.
  • AFDA.DA.2.j Communicate the description of an experiment and/or observational study, the resulting data, analysis, and the validity of the conclusions.
  • AFDA.DA.3.a Analyze, interpret, and make predictions based on theoretical probability.
  • AFDA.DA.3.b Calculate conditional probabilities for dependent, independent, and mutually exclusive events.
  • AFDA.DA.3.c Represent and calculate probabilities using Venn diagrams, probability trees, organized lists, two-way tables, simulations, or other probability models.
  • AFDA.DA.3.d Interpret probabilities from simulations or experiments to make informed decisions and justify the rationale.
  • AFDA.DA.3.e Define and give contextual examples of complementary, dependent, independent, and mutually exclusive events.
  • AFDA.DA.3.f Given two or more events in a problem setting, determine whether the events are complementary, dependent, independent, and/or mutually exclusive.
  • AFDA.DA.3.g Compare and contrast permutations and combinations, including those in contextual situations.
  • AFDA.DA.3.h Calculate the number of permutations of ๐‘› objects taken ๐‘Ÿ at a time, without repetition.
  • AFDA.DA.3.i Calculate the number of combinations of ๐‘› objects taken ๐‘Ÿ at a time, without repetition.
  • AFDA.DA.4.a Identify and describe the properties of a normal distribution.
  • AFDA.DA.4.b Determine when the normal distribution is a reasonable representation of the data.
  • AFDA.DA.4.c Describe how the mean and the standard deviation affect the graph of the normal distribution.
  • AFDA.DA.4.d Calculate and interpret the ๐‘ง-score for a data point, given the mean and the standard deviation.
  • AFDA.DA.4.e Compare two sets of normally distributed data using a standard normal distribution and ๐‘ง-scores, given the mean and the standard deviation.
  • AFDA.DA.4.f Represent probability as the area under the curve of a standard normal distribution.
  • AFDA.DA.4.g Determine probabilities associated with areas under the standard normal curve, using technology or a table of Standard Normal Probabilities.
  • AFDA.DA.4.h Investigate, represent, and determine relationships between a normally distributed data set and its descriptive statistics.