This math unit begins by developing students' ability to identify and verify the midpoint of a line segment using graphical representations. As the unit progresses, it adds complexity by introducing the concept of perpendicular slopes and the calculation of slopes that are perpendicular to a given line segment. Students start with true/false questions to confirm their understanding of midpoints and perpendicular slopes and then move on to using formulas. The unit evolves to focus on finding the equation of the perpendicular bisector of line segments, both from graphical representations and by analyzing points directly. Towards the end, the unit consolidates these skills by requiring students to verify if equations presented to them correctly represent the perpendicular bisector of specified line segments, using both graphical and point-based information. Overall, this unit builds from basic midpoint validation to advanced application of formulas for constructing perpendicular bisectors, enhancing students' analytical geometry skills.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.