midpoint and distance in the coordinate plane. students will be able to… develop and apply the...
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Geometry 1-6
Midpoint and Distance in the Coordinate Plane
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Students will be able to…
Develop and apply the formula for midpoint.
Use the distance formula to find the distance between two points.
Learning Targets
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Find the area and the perimeter of…
1. A rectangle with width 4 and length 72. A triangle with base 8 and height 10
Find the area and circumference of…3. A circle with radius 4
Warm-up
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Write the coordinates of the points plotted on
the graphA. ___________ B. _____________ C. _____________ D. ______________
Warm-up Day 2
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Homework Check
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Homework Check
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Homework Check
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Homework Check
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Coordinate plane:
a plane that is divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis).
Review of Vocabulary
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Review of Coordinate Planes
1. Label the graph’s x-axis and y-axis. 2. Review plotting coordinates in the form (x,y). 3. Plot points and label by the appropriate letter.H. (2,7) I. (-5, -5) J. (-3, 6) K. (1, -4) 4. Write the coordinates of the points plotted on the graph A. ____________ B. _____________C. _____________ D. ______________
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Review of Coordinate Planes
1. Label the graph’s x-axis and y-axis. 2. Plot points and label by the appropriate letter. H. (4,-2) I. (-5, 0)
J. (-3,6) K. (-1, -1) 3. Write the coordinates of the points plotted on the graph
A. ___________ B. _____________
C. ____________ D. _____________
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Midpoint Formula: the midpoint M of with endpoints A and B.
Formula:
Midpoint Formula
A B
( 𝑥1+𝑥22,𝑦1+𝑦22 )
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1. Find the coordinates of the midpoint of with
endpoints E(-2, 3) and F(5, -3).
Finding the Coordinates of a Midpoint
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2. Find the coordinates of the midpoint of with
endpoints C(-2, -1) and D(4, 2).
Finding the Coordinates of a Midpoint
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3. Find the coordinates of the midpoint of with
endpoints Y(-4, 6) and Z(3, 8).
Finding the Coordinates of a Midpoint
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Finding the coordinates of one endpointSteps: 1. Let the coordinates of the missing endpoint equal (x, y) 2. Use the Midpoint Formula 3. Find the x coordinate 4. Find the y coordinate 5. Rewrite the coordinates
Finding the Coordinates of an Endpoint
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1. M is the midpoint of A has coordinates (2, 2) and M has coordinates (4, -3). Find the coordinates of B.
Finding the Coordinates of an Endpoint
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2. S is the midpoint of R has coordinates (-6, -1) and S has coordinates (-1, 1). Find the coordinates of T.
Finding the Coordinates of an Endpoint
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3. B is the midpoint of A has coordinates (-6, -2) and B has coordinates (9, 3). Find the coordinates of C.
Finding the Coordinates of an Endpoint
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4. Y is the midpoint of B has coordinates (-4, -4) and Y has coordinates (-2, 3). Find the coordinates of A.
Finding the Coordinates of an Endpoint
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What is a square root? What does it mean?
You are looking for a number times itself that will give you the value under the square root.
How can we calculate it using a calculator?
Type 2nd button and then square root Let’s find it on everyone’s calculator. Then type the number you are looking for the square root of.
Review of Square Roots
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What is
What is
Why is rounding important?
Review of Square Roots
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Distance Formula:
In a coordinate plane, the distance d between two points and is
Distance Formula
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1. Find XY using the distance formula.
X(-2, 4) and Y(6, 1).
Distance Formula
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2. Find EF using the distance formula.
E(-2, 1) and F(-5, 5).
Distance Formula
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3. Find XY using the distance formula.
X(5, 10) and Y(-5, -10).
Distance Formula
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What is the midpoint formula?
What is the distance formula?
Review