12/14/2010 ©evergreen public schools 2010 1 6.4: slope, length and midpoint teacher notes notes:...
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12/14/2010
©Evergreen Public Schools 2010
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6.4: Slope, Length and Midpoint
Teacher NotesNotes: Review Slope Formula from Integrated 1.Use Pythagorean Theorem to develop Distance Formula.Use average to develop Midpoint Formula.
Vocabulary:• midpoint
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• I can find the slope, length and midpoint of a segment on a coordinate grid.
What is new to you?
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LauncLaunchh
LauncLaunchh
Find • slope• length• midpoint
Definition: A point on a line segment that divides it into two equal parts. The halfway point of a line segment.
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Slope FormulaSlope Formula• Last year you learned the formula to
find the slope of a line or segment.• What is the slope formula?
• Use the slope formula to find the slope of the line that passes through (2, 3) and (6, 1).
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Distance FormulaDistance Formula
• I don’t think we have a formula for distance.
• Find the length of the line that passes through (2, 3) and (6, 1).
• What formula do you already know that can help you?
• Find the length of the line that passes through (x1, y1) and (x2, y2).
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Midpoint FormulaMidpoint Formula• We do not have a formula to find the
midpoint of a segment.• Find the midpoint of the segment
that connects (2, 3) and (6, 1).• What do you notice about the x-
coordinates and the x-coordinate of your vertex?
• Is the same true for the y-coordinate of your vertex?
• Find the midpoint of the segment that connects(x1, y1) and (x2, y2).
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Team PracticeTeam Practice
Work together on “Slope, Length and Midpoint”.
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DebriefDebrief
• Write at least one new thing you learned today.
• Tell you partner what you learned.
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Did you hit the target? I can find the slope, length
and midpoint of a segment on a coordinate grid.
Rate your understanding of the target from 1 to 5.
5 is a bullseye!
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PracticePractice
• Practice 6.4A
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Ticket Out
Find the midpoint:K(1, 3) and L(5, 9).
Show the steps you used.