2.3+Changing+Both+Dimensions

Sidratun M.   01.29.09 Thursday Block-8D __2.3 Changing Both Dimensions __ Quadratic functions can help us describe situations in the real world. **  No notes taken because I was absent when Problem 2.3 was done in class. **(2 X x) (3 X x) (factored) 2.3+2.x+x.x+3.x (expanded) **(2x+2cm) (x+3cm) (2x^2+6x) (2x+6) **(2+x) (5+x) (10+2x) (5x+x^2) 
 * Big Idea
 * Essential Question # 2 - What does a quadratic function look like in a situation, table, graph, or equation? **
 *  A.  ****A square has sides of the length x cms. A new rectangle is created by increasing one dimension of the square by 2 cms and increasing the other dimensions by 3 cms. **
 *  1.  ****Copy the new rectangle. Label the area of each of the four sections. [[image:untitleda.JPG width="459" height="247"]]  **
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> <span style="font-family: 'Times New Roman','serif';"> 2.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">Write 2 expressions, one in factored form and one in expanded form, for the area of the new rectangle.
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> 3.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';"> Use your expressions from part 2 to write two equations for the area. //A//, of the rectangle. Graph both equations on yours calculator. Compare these graphs with the graphs you made in Problem 2.2. **
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> B.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">A square has sides of length x cms. One dimension of the square is doubled and then increased by 2 cms, and the other dimension is increased by 3 cms. **
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> 1.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">Make a sketch to show how the square is transformed into the new rectangle. Label the area of each section of the new rectangle. <span style="font-family: 'Times New Roman','serif';">[[image:untitledss.JPG width="511" height="355"]]  **
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> 2.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">Write two expressions, one in factored form and one in expanded form, for the area of the new rectangle.
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> 3.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">Use your expressions from part 2 to write two equations for the area, //A,// of the rectangle. Graph both equations on yours calculator. Compare these graphs with the graphs you made in Problem 2.2. **
 * <span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif'; mso-fareast-font-family: 'Times New Roman';"> C.  ****<span style="font-size: 12pt; color: black; line-height: 115%; font-family: 'Times New Roman','serif';">The rectangle below is divided into four smaller rectangles. Wrote two expressions, one in factored and one in expanded form, for the area of the large rectangle.
 * __<span style="font-size: 28pt; color: red; line-height: 115%; font-family: 'Eras Bold ITC','sans-serif';">Page Under Construction __**

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