Solving Equations & Inequalities

Big Ideas:

  • Know that the solution(s) to an equation is(are) the value(s) that make the equation true.
  • Know that the solution to a system of equations is the point of intersection on the graph.
  • Solve equations and inequalities and represent their solutions graphically.
  • Solve systems of equations using substitution and elimination methods
  • Interpret a real-world situation and model it with an equation/inequality.

A.2.1: Solving Equations in One and Two Variables

  • What is the solution to an equation?
  • Solve simple equations mentally.
  • Understand the properties that are used to solve equations.
  • Solve equations that require multiple steps.
  • Model situations/stories with equations
  • Solve equations that require squaring and  square roots.
  • Representing equations with two variables (graphing) [A.REI.10]

A.2.2: Solving Inequalities in one and two variables

  • Solve simple equations mentally.
  • Understand the properties that are used to solve equations.
  • Solve equations that require multiple steps.
  • Model situations/stories with equations
  • Solutions to inequalities in two variables (graphing)

A.2.3: Solving systems of equations and inequalities by graphing

  • Solving systems of equations by graphing
  • Solving systems of inequalities by graphing

A.2.4: Solving Systems of Equations and Inequalities Algebraically

  • Solving systems of equations using equal values
  • Solving systems of equations using substitution
  • Solving systems of equations using elimination

A.2: Assessments