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Solving Rational Equations
Students will discuss and formulate an equation to solve an engaging real-world problem. They will use manipulatives to describe how to find the common denominator they need to solve the equation. They will break up into groups and solve for a more complicated problem.
Texas Essential Knowledge and Skills (TEKS) Vertical Alignment
Click below to learn about the TEKS related to the unit and Research Lesson. The highlighted student expectation(s) is the chosen focus for the Research Lesson.
Vertical Alignment Charts for Revised Mathematics TEKS
This resource provides vertical alignment charts for the revised mathematics TEKS.
Writing Verbal Descriptions of Functional Relationships
Given a problem situation containing a functional relationship, the student will verbally describe the functional relationship that exists.
Writing Inequalities to Describe Relationships (Graph → Symbolic)
Given the graph of an inequality, students will write the symbolic representation of the inequality.
Writing Inequalities to Describe Relationships (Symbolic → Graph)
Describe functional relationships for given problem situations, and write equations or inequalities to answer questions arising from the situations.
Connecting Multiple Representations of Functions
The student will consider multiple representations of linear functions, including tables, mapping diagrams, graphs, and verbal descriptions.
Writing the Symbolic Representation of a Function (Graph → Symbolic)
Given the graph of a linear or quadratic function, the student will write the symbolic representation of the function.
Determining Parent Functions (Verbal/Graph)
Given a graph or verbal description of a function, the student will determine the parent function.
Determining Reasonable Domains and Ranges (Verbal/Graph)
Given a graph and/or verbal description of a situation (both continuous and discrete), the student will identify mathematical domains and ranges and determine reasonable domain and range values for the given situations.
Given a graph, the student will analyze, interpret, and communcate the mathematical relationship represented and its characteristics.
Making Predictions and Critical Judgments (Table/Verbal)
Given verbal descriptions and tables that represent problem situations, the student will make predictions for real-world problems.
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.
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.
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.
Determining Intercepts and Zeros of Linear Functions
Given algebraic, tabular, or graphical representations of linear functions, the student will determine the intercepts of the graphs and the zeros of the function.
Solving Systems of Equations with Graphs
Given verbal and/or algebraic descriptions of situations involving systems of linear equations, the student will solve the system of equations using graphs.