Lesson 1-6 Midpoint

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Lesson Plan Format
Teacher Name
Date
Class
Unit
Lesson
Time
Jason Lerner
September 22, 2011
GEO CPA
Foundations for Geometry
1-6 Midpoint
41 minutes
Learning Objective(s):
1. I will be able to find the midpoint of a segment given both endpoints.
2. I will be able to find the endpoint of a segment given 1 endpoint and the midpoint of the segment.
NJCCCS:
4.2.12.A Geometric Properties
Materials:
Whiteboard
Anticipatory Set: (Total – 15 mins)
 Warm-Up - (5 mins)
attached
 Review, Introduction, Motivation - (10 mins)
Go over warm up, HW
Instructional Input: (Total - 20 mins)
New Information – Notes/activity
Student Practice: (Total - 6 mins)
 Guided Practice - (6 mins)
1.6 Reteach Worksheet (if time allows)
 Independent Practice - ( 0 mins)
Homework – pg. 47 (2-5, 12-15)
Closure: (3 mins)
Student will write one sentence explaining how to find the midpoint of two end points of a segment
and a few sentences on how to find the endpoint if given a midpoint and an endpoint. (on whiteboards)
Lesson Reflection:
HW-pg. 47 (2-5 and 12-15)
CH. 1 Test WEDNESDAY
www.westex.org HS, Teacher Websites
9-22-11
Warm up—Geometry CPA
1. What is the average of 17 and 41?
2. The average of 25 and another number is 39.5.
What is the other number?
GOAL:
I will be able to:
1. find the midpoint given both endpoints of a
segment.
2. find the endpoint of a segment given 1 endpoint
and the midpoint of the segment.
HW-pg. 47 (2-5 and 12-15)
CH. 1 Test WEDNESDAY
www.westex.org
HS, Teacher Websites
Name ______________________
Geometry CPA
1.6 Midpoint in the Coordinate Plane
Date _______
Sometimes you need to find the point that is exactly between two other points. This middle
point is called the ___________________.
First 2 volunteers
__________
&
__________
Midpoint __________
Next 2 volunteers
__________
&
__________
Midpoint __________
Last 2 volunteers
__________
&
__________
Midpoint __________
If you are given two numbers, you can find the number exactly halfway between them by
__________ them (adding them together & dividing by two). For example, the number exactly
5  10  = 15 = 7.5.
halfway between 5 and 10 is
2
2
The Midpoint Formula works exactly the same way. If you need to find the point that is
exactly halfway between two given points, just ___________________ the
___________________ and the _________________.
Midpoint Formula
Finding the Coordinates of a Midpoint
Ex 1
Find the coordinates of the midpoint of CD with endpoints C (-2, -1) and D (4, 2).
YOU TRY:
Find the coordinates of the midpoint of EF with endpoints E (3, -5) and F (-9, 13).
Finding the Coordinates of an Endpoint
Ex 2
M is the midpoint of AB . A has coordinates (2, 7) and M has coordinates (6, 1). Find the
coordinates of B.
Step 1 Let the coordinates of B equal ________.
Step 2 Use (plug into) the Midpoint Formula
Step 3 Find the x-coordinate.
Find the y-coordinate.
YOU TRY:
S is the midpoint of RT . R has coordinates (-6, -1) and S has coordinates (-1, 1). Find the
coordinates of T.
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