### 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