Pilot Algebra II

In this course, students will build understanding of the following modules: Exploring Patterns in Linear and Quadratic Relationships, Analyzing Structure, Developing Structural Similarities, Extending Beyond Polynomials, and Inverting Functions.
Each module is broken up into topics where you will find teacher materials to guide the instruction and the student materials both used in the classroom for learning together and learning individually.
The agency developed these learning resources as a contingency option for school districts during COVID. All resources are optional. Prior to publication, materials go through a rigorous third-party review. Review criteria include TEKS alignment, support for all learners, progress monitoring, implementation supports, and more. Products also are subject to a focus group of Texas educators.
Transformations of Absolute Value Functions

Given an absolute value function, the student will analyze the effect on the graph when f(x) is replaced by af(x), f(bx), f(x – c), and f(x) + d for specific positive and negative real values.
Absolute Value Inequalities

This activity provides an opportunity for students to examine how to find solutions to an absolute value inequality.
Formulating and Solving Square Root Equations

This activity provides an opportunity for students to use a square root equation to model a situation and then use the model to make predictions.
Domain and Range: Numerical Representations

Given a function in the form of a table, mapping diagram, and/or set of ordered pairs, the student will identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Transformations of Square Root and Rational Functions

Given a square root function or a rational function, the student will determine the effect on the graph when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values.
Transformations of Exponential and Logarithmic Functions

Given an exponential or logarithmic function, the student will describe the effects of parameter changes.
Solving Square Root Equations Using Tables and Graphs

Given a square root equation, the student will solve the equation using tables or graphs - connecting the two methods of solution.
Functions and their Inverses

Given a functional relationship in a variety of representations (table, graph, mapping diagram, equation, or verbal form), the student will determine the inverse of the function.
Rational Functions: Predicting the Effects of Parameter Changes

Given parameter changes for rational functions, students will be able to predict the resulting changes on important attributes of the function, including domain and range and asymptotic behavior.
Domain and Range: Graphs

Given a function in graph form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Function Notation

Given a function in function notation form, identify the domain and range using set notation, interval notation, or a verbal description as appropriate.
Domain and Range: Verbal Description

The student will be able to identify and determine reasonable values for the domain and range from any given verbal description.
Domain and Range: Contextual Situations

The student will be able to identify and determine reasonable values for the domain and range from any given contextual situation.
Modeling Data with Linear Functions

Given a scatterplot where a linear function is the best fit, the student will interpret the slope and intercepts, determine an equation using two data points, identify the conditions under which the function is valid, and use the linear model to predict data points.
Formulating Systems of Inequalities

Given a contextual situation, the student will formulate a system of two linear inequalities with two unknowns to model the situation.
Solving Systems of Equations Using Substitution

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of substitution.
Solving Systems of Equations Using Elimination

Given a system of two equations where at least one of the equations is linear, the student will solve the system using the algebraic method of elimination.
Solving Systems of Equations with Three Variables

Given a system of three linear equations, the student will solve the system with a unique solution.
Solving Systems of Equations Using Matrices

Given a system of up to three linear equations, the student will solve the system using matrices with technology.