
Midpoint Formula
Presentation
•
Mathematics
•
8th - 12th Grade
•
Hard
James Gonzalez
FREE Resource
15 Slides • 38 Questions
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Midpoint Formula Lesson
Ms. Holmon
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Learning Intentions
The student will be able to…
Use coordinate geometry involving midpoint formula to verify geometric properties.
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Success Criteria:
I will…
Derive the midpoint formula.
Determine the coordinates of a point that is a fractional distance along a number line in a one-dimensional system.
Determine the coordinates of a point that is a fractional distance from one end of a line segment in a two-dimensional coordinate system.
Use fractional distance to find the midpoint in a one-dimensional and in a two-dimensional coordinate system.
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More than one way...
In Coordinate Geometry, there is more than one way to determine the midpoint of a line segment.
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Multiple Choice
Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).
(1, 3)
(3.5, -.5)
(-.5, 3.5)
(6, -.5)
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Multiple Choice
Find the midpoint: (7, 4) (9, -1)
(8, 1.5)
(2,1)
(-8, 1.5)
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Multiple Choice
Find the midpoint: (2, -11) (-9, 0)
(2, 9)
(3.5, -5.5)
(-3.5, -5.5)
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Multiple Choice
Find the midpoint: (4, -1) (2, -7)
(0, 5)
(-3, -4)
(3, -4)
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the x midpoint set to the x midpoint formula
A(-4, 2), M(8, 7)
8 = 2x1 + (−4)
−4 = 2x1 + (8)
2 = 2x1 + 7
7 = 2x1 + 2
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Multiple Choice
What is the next step?
8 = 2x1 + (−4)
Add 2
Subtract 2
Multiply 2
Divide by 2
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the next simplified equation?
2 × 8 =2x1 +(−4) × 2
16 = x1 + (−4)
−8 = x1 + (8)
4= x1 + 7
14 = x1 + 2
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Multiple Choice
What is the next step?
16 = x1 + (−4)
Add 4
Subtract 4
Multiply 4
Divide by 4
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the next simplified equation?
16 + 4 =x1 +(−4) +4
20 = x1
−4= x1
8= x1
18 = x1
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the y midpoint set to the y midpoint formula
A(-4, 2), M(8, 7)
8 = 2y1 + (−4)
−4 = 2y1 + (8)
2 = 2y1 + 7
7 = 2y1 + 2
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Multiple Choice
What is the next step?
7 = 2y1 + 2
Add 2
Subtract 2
Multiply 2
Divide by 2
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the next simplified equation?
2 × 7=2x1 + 2 × 2
16 = y1 + (−4)
−8 = y1 + (8)
4= y1 + 7
14 = y1 + 2
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Multiple Choice
What is the next step?
14 = y1 + 2
Add 2
Subtract 2
Multiply 2
Divide by 2
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M. Which equation is the next simplified equation?
14 − 2 =y1 +2 −2
20 = y1
12= y1
8= y1
18 = y1
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Multiple Choice
Find the other endpoint of the line segment with the given endpoint A and midpoint M.
A(-4, 2), M(8, 7)
(20, 12)
(-1, 7.5)
(-6, -2.5)
(1.5, -5.5)
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Multiple Choice
Line segment AB has midpoint M. The coordinates of endpoint A(-1,2) and midpoint M (0,-3) are given. What are the coordinates of endpoint B? (HINT: draw a picture of the line and label the points)
( 1 , -8 )
( 1 , 8 )
( 8 , -1 )
( - 8 , -1 )
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Multiple Choice
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
(1,5)
(2,10)
(7,2)
(1,2)
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Multiple Choice
Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?
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Poll
How confident do you feel about knowing where the midpoint formula came from?
I can teach this.
I understand but I have some questions
I'm unsure. I need more practice.
I have no idea what you are talking about.
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Poll
How confident do you feel about determining the coordinates of a point on a number line?
I can teach this.
I understand but I have some questions
I'm unsure. I need more practice.
I have no idea what you are talking about.
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Poll
How confident do you feel about determining the coordinates of a point on a coordinate plane?
I can teach this.
I understand but I have some questions
I'm unsure. I need more practice.
I have no idea what you are talking about.
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Poll
How confident do you feel about finding the endpoint when you are given the midpoint and another endpoint?
I can teach this.
I understand but I have some questions
I'm unsure. I need more practice.
I have no idea what you are talking about.
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Well that's all folks
Move on to Schoology to start the work...
Midpoint Formula Lesson
Ms. Holmon
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