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.
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.
Solving Systems of Equations with Algebraic Methods
Given verbal and/or algebraic descriptions of situations involving systems of two variable linear equations, the student will solve the system of equations.
Determining Reasonableness of Solutions (System of Equations)
Given verbal descriptions of situations involving systems of linear equations, the student will determine the reasonableness of the solutions to the system of equations.
Determining the Domain and Range for Quadratic Functions
Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine the domain and range of the function.
Determining the Domain and Range for Quadratic Functions: Restricted Domain/Range
Given a situation that can be modeled by a quadratic function or the graph of a quadratic function, the student will determine restrictions as necessary on the domain and range of the function.
Analyzing the Effects of the Changes in "a" on the Graph y = ax^2 + c
Given verbal, graphical, or symbolic descriptions of the graph of y = ax^2 + c, the student will investigate, describe, and predict the effects on the graph when a is changed.
Solving Quadratic Equations Using Concrete Models
Given a quadratic equation, the student will use tiles to factor and solve the equation.
Solving Quadratic Equations Using Algebraic Methods
Given a quadratic equation, the student will solve the equation by factoring, completing the square, or by using the quadratic formula.
Quadratics: Connecting Roots, Zeros, and x-Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Applying the Laws of Exponents: Verbal/Symbolic
Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.
Using the Laws of Exponents to Solve Problems
Given problem situations involving exponents, the student will use the laws of exponents to solve the problems.
Formulating Systems of Equations (Verbal → Symbolic)
Given verbal descriptions of situations involving systems of linear equations the student will analyze the situations and formulate systems of equations in two unknowns to solve problems.
Solving Quadratic Equations Using Graphs
Given a quadratic equation, the student will use graphical methods to solve the equation.
Writing Equations to Describe Functional Relationships (Verbal → Equation)
Given a problem situation represented in verbal form, students will write an equation that can be used to represent the situation.
Writing Inequalities to Describe Relationships (Verbal → Symbolic)
Given a problem situation represented in verbal form, students will write an inequality that can be used to represent the situation.