Collecting Data and Making Predictions
Given an experimental situation, the student will write linear functions that provide a reasonable fit to data to estimate the solutions and make predictions.
Writing Expressions to Model Patterns (Table/Pictorial → Symbolic)
Given a pictorial or tabular representation of a pattern and the value of several of their terms, the student will write a formula for the nth term of a sequences.
Factoring to Solve Problems
The student will use a variety of methods to solve problems by factoring including models, guess and check, grouping, and special cases.
Determining the Meaning of Slope and Intercepts
Given algebraic, tabular, graphical, or verbal representations of linear functions in problem situations, the student will determine the meaning of slope and intercepts as they relate to the situations.
Analyzing the Effects of the Changes in m and b on the Graph of y = mx + b
Given algebraic, graphical, or verbal representations of linear functions, the student will determine the effects on the graph of the parent function f(x) = x.
Writing Equations of Lines
Given two points, the slope and a point, or the slope and the y-intercept, the student will write linear equations in two variables.
Determining the Domain and Range for Linear Functions
Given a real-world situation that can be modeled by a linear function or a graph of a linear function, the student will determine and represent the reasonable domain and range of the linear function using inequalities.
Algebra I - Module 1, Topic 1: Quantities and Relationships
In this topic, students explore a variety of different functions. The intent is merely to introduce these new functions, providing an overview but not a deep understanding at this point. The topic is designed to help students recognize that different function families have different key characteristics. In later study in this course, they will formalize their understanding of the defining characteristics of each type of function.
Algebra I - Module 1, Topic 2: Sequences
In this topic, students explore sequences represented as lists of numbers, in tables of values, by equations, and as graphs on the coordinate plane. Students move from an intuitive understanding of patterns to a more formal approach of representing sequences as functions. In the final lesson of the topic, students are introduced to the modeling process. Defined in four steps—Notice and Wonder, Organize and Mathematize, Predict and Analyze, and Test and Interpret—the modeling process gives students a structure for approaching real-world mathematical problems.
Algebra I - Module 1, Topic 3: Linear Regressions
In this topic, students focus on the patterns that are evident in certain data sets and use linear functions to model those patterns. Using the informal knowledge of lines of best fit that was built in previous grades, students advance their statistical methods to make predictions about real-world phenomena. They differentiate between correlation and causation, recognizing that a correlation between two quantities does not necessarily mean that there is also a causal relationship. At the end of this topic, students will synthesize what they have learned to decide whether a linear model is appropriate.
2 Course Standards Alignment Documents
Course level documents that outline the alignment to the Texas Essential Knowledge and Skills (TEKS) and the English Language Proficiency Standards (ELPS)
Pilot Algebra I
In this course, students will build understanding of the following modules: Searching for Patterns, Exploring Constant Change, Investigating Growth and Decay, and Maximizing and Minimizing.
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.
Investigating Methods for Solving Linear Equations and Inequalities
Given linear equations and inequalities, the student will investigate methods for solving the equations or inequalities.
Selecting a Method to Solve Equations or Inequalities
Given an equation or inequality, the student will select a method (algebraically, graphically, or calculator) to solve the equation or inequality.
Solving Linear Equations and Inequalities
When given a table, equation or verbal description students will solve one and two variable equations and inequalities using algebraic steps or graphing methods.