FFPC+Mathematical+Reflections,+p+16

MP January 26th, 2009 Math 8D Mathematical Reflection #1 Pg. 18   Notes: A = LW     = half of perimeter – L)    Big Idea: Quadratic functions can help us describe situations in the real world.  EQ: What does a quadratic function look like in a situation, table, graph, or equation?  // Question 1) In a function relating two variables, on variable depends on the other variable. For function relating to length and area of rectangles with this fixed perimeter, which variable is the dependent variable? Which variable is the independent variable? // 1. The dependent variable is the area the independent variable is the length. // Question 2) The graph of a quadratic function is a parabola. // // A) What patterns did you observe in the parabolas in this equation? // 2) A) A parabola has a U (∩) shape curve the table goes up and hits its high point then comes back down. // B) How do patterns in a parabola appear in the table of values for a quadratic function? // B) The table starts low or high then reaches a point then comes back down or up to its beginning number. // Question 3) Describe two ways to find the maximum area for rectangles with a fixed perimeter? // 3) One way to find the maximum area for rectangles with fixed perimeters is to make a table and find the highest Y Colum. Also you can make a graph and find the area by looking at the graphs highest point. // Questions 4) How are tables, graphs, and equations for quadratic function different from those for linear and exponential function? // 4) Tables for quadratic function start out normal then it reaches a certain point then comes back down to what it was at the beginning of the table. Graphs for quadratic functions are in the form of a parabola. Equations are different because they are in the form of Y =. Tables for linear function are changing at constant rate of growth. Graphs for linear function are in straight lines. Equation are in the form of Y = Mx + B for linear functions. Tables for exponential functions change at a very fast past, exponentially. Graphs for exponential functions are non-linear. The equation form for exponential function is Y = X (M-1).

Summary: In this unit i learned how to find the maximum value for rectangles with fixed values. Also I learned about quadratic function and parabolas.