Post on 22-Dec-2015
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)