Keoni and Sasha compare the graphs of y = x2<\/sup>\/(4p) for p-values of 1\/4, 1\/2, and 1. They figure out the effect that changing the value of p has on the graph of the Sasha and Keoni use algebraic and geometric thinking to form three arguments that justify why a parabola gets wider on the coordinate grid as the p-value in y = x2<\/sup>\/(4p) increases.<\/p>\n\n\n\n Sasha and Keoni review the relationship that they discovered between the value of p in the equation y = x2<\/sup>\/(4p) and the width of the graph of the parabola.<\/p>\n\n\n\n Keoni and Sasha use points that share an x-value to explain why increasing the p-value in the equation y = x2<\/sup>\/(4p) results in the parabola getting wider.<\/p>\n\n\n\n Keoni and Sasha reflect on why increasing the p-value results in a wider parabola. They engage in algebraic reasoning to support their argument.<\/p>\n\n\n\n Sasha and Keoni use points on three parabolas that share a y-value to explain why increasing the p-value results in the parabola getting wider on the coordinate grid.<\/p>\n\n\n\n Sasha and Keoni use \u201cthe special points\u201d on the three parabolas to generate another explanation for why increasing the p-value results in the parabola getting wider on the coordinate grid.<\/p>\n\n\n\n Sasha and Keoni use what they know about special points to explain why increasing the p-value results in the parabola getting wider on the coordinate grid.<\/p>\n\n\n\nEpisode 1: Making Sense<\/a><\/h5>\n\n\n\n
Episode 2: Exploring<\/a><\/h5>\n\n\n\n
Episode 3: Reflecting<\/a><\/h5>\n\n\n\n
Episode 4: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n
Episode 5: Making Sense<\/a><\/h5>\n\n\n\n
Episode 6: Exploring<\/a><\/h5>\n\n\n\n