Lesson Plan #67
Class : Geometry Date : Monday March 24 nd , 2015
Topic : Dilating a line on the coordinate plane Aim : How do we dilate a line on the coordinate plane?
Objectives :
1) Students will be able to dilate a line on the coordinate plane.
2) Students will be able to find the coordinates of a point on a line that divides the line into a specific ratio.
HW # 67 :
1) Find the coordinates of point P that lies on the line segment
MQ , M(-9, -5), Q(3, 5), and partitions the segment at a ratio of 2 to 5 .
2)
3) A) x
2) Write the image of the equation of the line
3
 y

1
5
9 after a dilation of scale factor
5
Do Now :
1) with the origin as the center of dilation.
B) D
O , 2

__________ _
4) A) Dilate the line below by a scale factor of 2 from center O.
B) Dilate the line below by a scale factor of 2 from center O
D
O , 2
 

________ D
O , 2

________
5) A) Sketch the graph of y

3 x

2
B) Sketch the image of the graph of y

3 x

2 after dilation through the origin with a scale factor of 2.
C) Write the equation of the image of the graph of y

3 x

2 after dilation through the origin with a scale factor of 2.
D  
, 2
 y

3 x

2


________
Sample Test Question :
1)
2) Write an equation of the image of the line y
 
3 x after a dilation of scale factor 4 with the origin as center of dilation.
PROCEDURE :
Write the Aim and Do Now
Get students working!
Take attendance
Give Back HW
Collect HW
Go over the Do Now
1

Assignment #1 :
2
A) Point M divides line segment AB ,in the direction from A to B, in a ratio of 3 to 2. What value on the number line would indicate the location of point M.
B)
Assignment #2 :
Given A (1, 1) and B (7, 3).
Find the point P on AB such that AP = 4·PB.
Assignment #3:
Given the points A(-3, -4) and B(5, 0), find the coordinates of the point P on directed line segment AB that partitions AB in the ratio 2:3.
1)
2)
Assignment #4 :
The map shows a straight highway between two tows. Highway planners want to build two new rest stops between the towns so that the two rest stops divide the highway into three equal parts. Find the
4 coordinates of the points at which the rest stops should be built.
If enough time
:
2
2
5