How far apart are these points?. In this lesson you will learn to use absolute value to find...
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Transcript of How far apart are these points?. In this lesson you will learn to use absolute value to find...
In this lesson you will learn to use absolute value to find
distances between points with the same x and y value by using a coordinate plane.
Let’s Review
|-3| = 3
|3| = 3
Absolute Value: The distance a number is from zero on
the number line.
A Common Mistake
Begin by moving along the y-axis first, and then along the x-axis when finding an ordered pair.
(6,4)
A Common Mistake
Returning to the origin after plotting the x value, and then moving on the y-axis.
(6,4)
In this lesson you have learned to use absolute value to find
distances between points with the same x and y value by using a coordinate plane.
Guided Practice
What is the distance between the two coordinate pairs A (2,-3) and B (0,-3)? Use absolute value and the coordinate plane to solve the problem.
Guided Practice
What is the distance between the two coordinate pairs C (-5,0) and D (-5,-9)? Use absolute value and the coordinate plane to solve the problem.
Extension Activities
Dice Challenge:
1. Roll two dice and use the numbers as the x and y values in an ordered pair. Plot the point on a coordinate plane.
2. Create a point on the x or y-axis that creates a line with your original point.
3. Find the distance between the two points.
Extension Activities
Human Coordinate Plane:
Create a large coordinate plane on the classroom floor using masking tape.
Have one person stand at a point on either the x or y-axis.
Have another person stand on the coordinate plane at a point that shares either the x or y value as the first person.
Have the class find the distance between the two points.
Quick Quiz
Which of the following coordinate pairs has a distance that is 8 units long?
a. (0,-4) (-4, -4)
b. (-3,6) (-3, 0)
c. (0,-5) (8, -5)