This learning plan discusses teaching students about the distance formula in mathematics. The objectives are for students to apply the relationship of distance, solve for distance between two points using the distance formula, and show enthusiasm during class discussions. An activity is outlined where students plot coordinates on a Cartesian plane to form a right triangle, and identify the hypotenuse and sides. The teacher then explains how to calculate the length of sides of the triangle using the distance formula by taking the difference between the x- and y-coordinates of two points.