Virginia- Mathematics: Grades 9-12

Standards of Learning    Adopted: 2007

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AFDA: Algebra and Functions

AFDA.1: The student will investigate and analyze function (linear, quadratic, exponential, and logarithmic) families and their characteristics.

AFDA.1.b: local and absolute maxima and minima

Graphs of Polynomial Functions
 Quadratics in Factored Form

AFDA.1.c: domain and range

Exponential Functions
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Radical Functions

AFDA.1.e: intercepts

Cat and Mouse (Modeling with Linear Systems)
 Exponential Functions
 Introduction to Exponential Functions
 Linear Functions
 Points, Lines, and Equations
 Quadratics in Factored Form
 Quadratics in Polynomial Form
 Roots of a Quadratic
 Slope-Intercept Form of a Line

AFDA.1.g: end behaviors

Exponential Functions

AFDA.1.h: asymptotes

Exponential Functions

AFDA.2: The student will use knowledge of transformations to write an equation given the graph of a function (linear, quadratic, exponential, and logarithmic).

Absolute Value with Linear Functions
 Introduction to Exponential Functions

AFDA.3: The student will collect data and generate an equation for the curve (linear, quadratic, exponential, and logarithmic) of best fit to model real-world problems or applications. Students will use the best fit equation to interpolate function values, make decisions, and justify conclusions with algebraic and/or graphical models.

Correlation

AFDA.4: The student will transfer between and analyze multiple representations of functions including algebraic formulae, graphs, tables, and words. Students will select and use appropriate representations for analysis, interpretation, and prediction.

Absolute Value Equations and Inequalities
 Function Machines 1 (Functions and Tables)
 Function Machines 2 (Functions, Tables, and Graphs)
 Function Machines 3 (Functions and Problem Solving)
 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

AFDA.5: The student will determine optimal values in problem situations by identifying constraints and using linear programming techniques.

Linear Programming

AFDA.6: The student will calculate probabilities.

AFDA.6.a: conditional probability

Independent and Dependent Events

AFDA.6.b: dependent and independent events

Binomial Probabilities
 Independent and Dependent Events

AFDA.6.c: addition and multiplication rules

Binomial Probabilities
 Independent and Dependent Events

AFDA.6.d: counting techniques (permutations and combinations)

Binomial Probabilities
 Permutations and Combinations

AFDA.6.e: Law of Large Numbers

Theoretical and Experimental Probability

AFDA.7: The student will analyze the normal distribution.

AFDA.7.a: characteristics of normally distributed data

Polling: City
 Populations and Samples
 Real-Time Histogram
 Sight vs. Sound Reactions

AFDA.8: The student will design and conduct an experiment/survey.

AFDA.8.a: sample size

Polling: City
 Polling: Neighborhood
 Populations and Samples

AFDA.8.b: sampling technique

Polling: City
 Populations and Samples

AFDA.8.c: controlling sources of bias and experimental error

Polling: City
 Polling: Neighborhood

AFDA.8.d: data collection

Correlation
 Describing Data Using Statistics
 Polling: City
 Polling: Neighborhood

AFDA.8.e: data analysis and reporting

Polling: City

Correlation last revised: 8/8/2016

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