10.1 Perimeter and Area – We reviewed the difference between perimeter and area. Then we found the perimeter and area of common polygons. Next we found the circumference and area of circles. Then finally we found the area of composite shapes.
9-5 Completing the Square – We reviewed that Completing the square is a method that is used for converting a quadratic expression of the form ax2 + bx + c to the vertex form a(x - h)2 + k. The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:
• Converting a quadratic expression into vertex form.
• Analyzing at which point the quadratic expression has minimum/maximum value.
• Graphing a quadratic function.
• Solving a quadratic equation.
• Deriving the quadratic formula.
9-6 the Quadratic Formula and the Discriminant – We learned that the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots. It is generally defined as a polynomial function of the coefficients of the original polynomial.
Assignment: Find the discriminants of the assigned problems and determine the number of solutions for each quadratic equation for homework.
