Standards of Learning (SOL)

 Essential Knowledge and Skills
• Given a system of two linear equations in two variables that has a unique solution, solve the system by substitution or elimination to identify the ordered pair which satisfies both equations. (d)
• Given a system of two linear equations in two variables that has a unique solution, solve the system graphically by identifying the point of intersection. (d)
• Solve and confirm algebraic solutions to a system of two linear equations using a graphing utility. (d)
• Determine whether a system of two linear equations has one, an infinite number, or no solutions. (d)
• Write a system of two linear equations that models a practical situation. (e)
• Interpret and determine the reasonableness of the algebraic or graphical solution of a system of two linear equations that models a practical situation. (e)
• Solve practical problems involving equations and systems of equations. (e)

Resources

Vocabulary
Equation, multi step, linear, quadratic, literal equations, specified, system of equations, algebraically, graphically, infinite, properties, equality, simplify, rational, irrational, substitution, elimination, ordered pair, point of intersection, concrete, pictorial, symbolic, associative, commutative, identity, inverse, distributive, multiplicative, zero product, reflexive, symmetric, transitive, parallel lines, intersect, coincide, slope, simultaneously, satisfied, set notation

Vertical Articulation

Prior Standard of Learning
8.17             The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

Post Standard of Learning

AII.4            The student will solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphically.

 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.

Essential Questions

• What is the solution to a system of linear equations?
• How do you solve a system of linear equations by substitution?
• How do you solve a system of linear equations by elimination?
• How do you solve a system of linear equations by graphing?
• How do you solve a system of linear equations with a graphing utility?
• How do you determine if a system of two linear equations has one, an infinite number, or no solutions?
• How can you determine the most efficient method for solving a system of linear equations?
• How can you write a system of two linear equations that models a practical situation?
• How can you interpret and determine the reasonableness of the solution of a system of two linear equations that models a practical situation?
• How can you determine if the solution to a system of two linear equations is reasonable for a practical situation?
• How do you solve practical problems involving equations and systems of equations?