How far apart are these points?. In this lesson you will learn to use absolute value to find distances between points with the same x and y value by using.

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Presentation transcript:

How far apart are these points?

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 The Coordinate Plane (5,3) x valuey value (-2,-3)

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)

Core Lesson A (6,4) B (6,0) | 4 – 0 | = | 4 | = 4 OR | 0 – 4 | = |- 4 | = 4 A B 4 units

C (5,-6) D (0,-6) | 5 – 0 | = | 5 | = 5 OR | 0 – 5 | = |- 5 | = 5 C D 5 units

Core Lesson E (0,4) F (6,4) F E | 0-6 | = | -6 | = 6 OR | 6 – 0 | = | 6 | = 6 6 units

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.

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.

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)

Quick Quiz Which of the following coordinate pairs has an absolute value of -4? a. (0,-4) (-4, -4) b. (-3,6) (-3, 0) c. (0,-5) (8, -5)