1. Lesson 3.1 The Coordinate Plane and Midpoint Formula
Objective - To plot points in the coordinate plane and to find the midpoint of two given points.
Number Line
One
Dimensional x
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

2. Objective - To plot points in the coordinate plane and to find the midpoint of two given points.
y-axis 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6
Number Line
One
Dimensional
Coordinate Plane
x-axis
Two
Dimensional
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

3. Objective - To plot points in the coordinate plane and to find the midpoint of two given points.
y-axis II 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 I D
Number Line
Plot
Ordered
Pair
One
Dimensional
A(-3,1)
B(5,-4)
C(-4,-6)
D(0,5)
(x,y)
(3,2) A
Coordinate Plane
x-axis
Two
Dimensional
(0,0)
origin B
III IV C
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

4. IV II I IV III II No Quadrant IV 1) (2, -6) 2) (5, 7) 3) (-6, -5)
Name the quadrant where each point would be located.
1) (2, -6)
2) (5, 7)
3) (-6, -5)
4) (6, -10)
5) (-7, 12)
6) (240, -1)
7) (-19, 7400)
8) (7, 0) IV II I IV
III II No
Quadrant IV
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

5. Domain - set of x-values.
Ordered Pairs
Domain - set of x-values.
Range - set of y-values.
{ (3, -2), (4, 1), (-3, -4), (0, 2), (-4, 0) }
1) State the domain.
3) Plot the Points y
{ 3, 4, -3, 0, -4}
2) State the range. x
{ -2, 1, -4, 2, 0 }
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

6. Midpoints 1) 4 12 Mean 2) -6 10 Mean 3) 15 -22 Mean
Find the number halfway between the given integers. 1)
Mean 2)
Mean 3)
Mean
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

7. Midpoint Formula (6,5) (-4,-3) y x M(1,1) 5 4 3 2 1 -1 -2 -3 -4 -5
(-4,-3)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

8. 1) (2,4) (-6,-8) 2) (-3,7) (5,-13) 3) (-2,1) (14,8) 4) (-5,-7) (6,4)
Use the midpoint formula to find the midpoint between
the given points.
1) (2,4) (-6,-8)
2) (-3,7) (5,-13)
3) (-2,1) (14,8)
4) (-5,-7) (6,4)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

9. The midpoint of is M(1,3). If point P is (-5, -4), find point Q.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

10. The midpoint of is M(1,3). If point P is (-5, -4), find point Q.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

11. The midpoint of is M(1,3). If point P is (-5, -4), find point Q.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

12. The midpoint of is M(-4,6). If point R is (6, -9), find point J.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

13. The midpoint of is M(-4,6). If point R is (6, -9), find point J.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

14. The midpoint of is M(-4,6). If point R is (6, -9), find point J.
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series