Mathematics — first biennium · Lesson
In the Cartesian plane the midpoint averages coordinates separately; distance comes from Pythagoras applied to horizontal and vertical changes.
Prerequisites: Coordinates and Pythagoras
Goal: Calculate midpoint and distance between two points in the Cartesian plane.
In this lesson: Calculate midpoint and distance between two points in the Cartesian plane.
New concept: In y=mx+q, m is the slope and q is the y-intercept. The same line can be written in different forms; what matters is that they describe the same points in the plane.
How to proceed: For the midpoint add coordinates of the same type. For distance use coordinate differences as the legs of a right triangle.
You can already assume: Coordinates and Pythagoras.
Completed exercises: 0/5 · Correct on first attempt: 0
For the midpoint add coordinates of the same type. For distance use coordinate differences as the legs of a right triangle.
Data / situation: A(-4,-4), B(-1,0)
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.