
Intro to 3D Coordinate Systems
Presentation
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Easy
Standards-aligned
Bo Anthony
Used 6+ times
FREE Resource
7 Slides • 4 Questions
1
Introduction to 3D Coordinates
Functions with multivariable components (3+ Variables)
Finland
2
3D Coordinate Systems
3-Dimensional Graphs are commonly called Solid Analytic Geometry. This is created by taking your normal x- and y-axis and adding the z-axis to them, thus creating a 3-dimensional system. 3-Dimensional points are referred to as being in SPACE!
3
Multiple Choice
3-Dimensional Graphs are commonly called...
Fancy Graphs
Solid Analytical Geometry
Weird Graphs
Sleep-Deprived Graphs
4
Distance Formula
One of the key things we need to be able to do is to find the Distance between points, and since these points are 3-Dimensional, we need to Modify our Distance Formula to match...
5
Another Example
6
Multiple Choice
Now you give it a try:
Calculate the Distance between (-6, 2, 4) and (-6, 0, -3)
6.785 units
8.345 units
7.280 units
5.647 units
7
Midpoint Formula
Just like the Distance Formula, we need to re-work our Midpoint Formula to work with 3 Variables. Thankfully, this doesn't create a formula too difficult to work with...
8
Midpoint Example
9
Draw
Now You Try:
Midpoint between (-1, 3, 5) and (6, -4, -10)
10
Summary
Now that we have the groundwork for finding Distance and Midpoints with 3-Dimensional coordinates, next we will be moving on to SPHERES!!!
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11
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Introduction to 3D Coordinates
Functions with multivariable components (3+ Variables)
Finland
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