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 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 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

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 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 x-axis Two Dimensional Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

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 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 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

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

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

Midpoints 1) 4 12 Mean 2) -6 10 Mean 3) 15 -22 Mean Find the number halfway between the given integers. 1) 4 12 0 1 2 3 4 5 6 7 8 9 10 11 12 Mean 2) -6 10 Mean 3) 15 -22 Mean Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

Midpoint Formula (6,5) (-4,-3) y x M(1,1) 5 4 3 2 1 -1 -2 -3 -4 -5 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 (-4,-3) Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

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

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

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

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

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

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

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