A.4c - The student will solve multistep linear and quadratic equations in two variables, including solving quadratic equations algebraically and graphically.
Barry has 20 m wire mesh. He would like to enclose as large as possible a rectangular a chicken coop using a barn wall as one of the sides. What values for the length and width will give him the largest area?
Roots of a Quadratic: Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane.
Factoring: State the different methods of factoring
to try when factoring a binomial and a trinomial. Give a table/example
of each method.
Graphing Quadratics: Draw an example of each type of situation
that may occur when using graphing to find the solutions of a
quadratic equation. Identify the number of real roots of the
quadratic function in each situation.