1. Partition Line Segments (2 Dimensions)
Learning Target:
Students can find the point on a directed line segment between two given points that partitions the segment in a given ratio.

2. Partition – 2 Dimensional
1. Add the ratio: 2:1 = 2+1 = 3 = r
2. Find the distance between the x’s: B – A = d
3. Divide the distance by ratio: d/r = interval
4. Draw number line
5. Draw Lines at interval
6. Shade by first number in the ratio
7. Repeat for the y’s

3. Partitioning Line Segments in 2 Dimensions with Task
Worksheet – Practice
Partitioning Line Segments in 2 Dimensions with Task

4. What do you do when it doesn’t partition evenly?

5. Formula

6. Find the coordinates of P along the directed line segment AB so that the ratio of AP to PB is 3 to 2.
In order to divide the segment in the ratio of 3 to 2, think of dividing the segment into or 5 congruent pieces.

7. A(3, 4), B(6, 10); 3 to 2. 3
AB has a rise of 6. 6
AB has a run of 3.

8. A(3, 4), B(6, 10); 3 to 2.
To find the coordinates of point P… 6 3

9. Example 1: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(1, 3), B(8, 4); 4 to 1.

10. Example 2: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, 1), B(4, 5); 3 to 7.

11. Example 3: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(8, 0), B(3, -2); 1 to 4.

12. Example 4: Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. A(-2, -4), B(6, 1); 3 to 2.

13. Homework
Worksheet

14. Partitioning Line Segments in 2 DimensionsHW
Partitioning Line Segments in 2 Dimensions