Standard(s):
[SC2015] PHYS (9-12) 1 : 1 ) Investigate and analyze, based on evidence obtained through observation or experimental design, the motion of an object using both graphical and mathematical models (e.g., creating or interpreting graphs of position, velocity, and acceleration versus time graphs for one- and two-dimensional motion; solving problems using kinematic equations for the case of constant acceleration) that may include descriptors such as position, distance traveled, displacement, speed, velocity, and acceleration.
[MA2019] GEO-19 (9-12) 37 : 37. Investigate and apply relationships among inscribed angles, radii, and chords, including but not limited to: the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
[MA2019] MOD-19 (9-12) 11 : 11. Plot coordinates on a three-dimensional Cartesian coordinate system and use relationships between coordinates to solve design problems.
a. Describe the features of a three-dimensional Cartesian coordinate system and use them to graph points.
b. Graph a point in space as the vertex of a right prism drawn in the appropriate octant with edges along the x, y, and z axes.
c. Find the distance between two objects in space given the coordinates of each.
Examples: Determine whether two aircraft are flying far enough apart to be safe; find how long a zipline cable would need to be to connect two platforms at different heights on two trees.
d. Find the midpoint between two objects in space given the coordinates of each.
Example: If two asteroids in space are traveling toward each other at the same speed, find where they will collide.
