Math - 2019-20
AII.4 - Solving Non-Linear Systems
AII.4 The student will solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphically.
- I can create telescope and wide-angle camera lenses, reconstruct
traffic accidents for investigation, monitor aircraft flight patterns as an air
traffic controller, analyze crimes for police officers, and work
as a seismologist or geologist.
- I will be
able to solve systems involving linear and quadratic equations, by quadratic
equations only by graphing, algebraically, and by using a calculator to
visualize the solution.
UNDERSTANDING THE STANDARD
· Quadratic equations included in this standard will only include those that can be represented as parabolas of the form where .
· Solutions of a system of equations are numerical values that satisfy every equation in the system.
· A linear-quadratic system of equations may have zero, one, or two solutions.
· A quadratic-quadratic system of equations may have zero, one, two, or an infinite number of solutions.
· The coordinates of points of intersection in any system of equations are solutions to the system.· Practical problems can be interpreted, represented, and solved using systems of equations.
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
· AII.41 Determine the number of solutions to a linear-quadratic and quadratic-quadratic system of equations in two variables.
a linear-quadratic system of two equations in two variables algebraically and
a quadratic-quadratic system of two equations in two variables algebraically
· AII.44 Solve systems of equations and verify solutions of systems of equations with a graphing utility.
linear, quadratic, algebraically, graphically, predict