Every point in the first quadrant of {width,height plane} corresponds to a rectangle. [br][br]The applet allows you to generate either a family of rectangles by moving the GOLD point along a height = constant/width curve or a family of rectangles by moving a GOLD point along a height+width = constant curve.[br][br][You can position each of these curves by dragging the small WHITE dots.][br][br]Can you explain the nature of the curves generated in the {Perimeter, Area} plane as you drag the GOLD dots in the {width, height} plane? qualitatively? analytically?[br][br]Can you prove or disprove the assertion that every point in the {width, height} plane corresponds to a rectangle? [br][br]What have you learned from this applet?[br][br][color=#ff0000][i][b]What questions would/could you put to your students based on this applet?[br][/b][/i][/color]