250 likes | 656 Views
How can we use absolute value to find the distance between points F (-8,-4) and G (3,-4)?. In this lesson you will learn to find the distance between two points that are in different quadrants by using a coordinate plane. A (0,4). 6 units. B (6,4). A. B. | 0-6 | = | -6 | = 6 OR
E N D
How can we use absolute value to find the distance between points F (-8,-4) and G (3,-4)?
In this lesson you will learn to find the distance between two points that are in different quadrants by using a coordinate plane.
A (0,4) 6 units B (6,4) A B |0-6|= |-6| = 6 OR |6 – 0|= |6| = 6
Begin by moving along the y-axis first, and then along the x-axis when finding an ordered pair. (6,4)
Returning to the origin after plotting the x value, and then moving on the y-axis. (6,4)
C (-3,3) D (2,3) C D E (-3,-4) E
C (-3,3) D (2,3) C D |-3-2|= |-5| = 5 OR |2 – (-3)| = |5| = 5
C (-3,3) E (-3,-4) C |3 – (-4)|= |7| = 7 OR |-4-3|= |-7|= 7 E
F (-8,-4) G (3,-4) |-8-3|= |-11| = 11 OR |3 – (-8)|= |11| = 11 F G
In this lesson you have learned to find the distance between two points that are in different quadrants by using a coordinate plane.
What is the distance between the two coordinate pairs A (2,-3) and B (-6,-3)? Use absolute value and the coordinate plane to solve the problem.
What is the distance between the two coordinate pairs C (-5,4) and D (-5,-9)? Use absolute value and the coordinate plane to solve the problem.
Distance Challenge: • 1. Create cards that have an ordered pair on each card. Be sure to use all four quadrants of the coordinate plane. • 2. Draw to cards. Plot the points on the coordinate plane. • 3. Find the distance between the two points.
Dice Challenge: • 1.You will need one or two dice for this challenge. • 2.Before you roll, decide if the value will be positive or negative. • 3. Roll the dice and record the number as the x value. Roll again, but this time record the number as the y-value. Repeat to create a second ordered pair. • Plot the points and find the distance between them.
Which of the following coordinate pairs has a distance that is 12 units? a. (-8,-4) (-8, 5) b. (-2,-4) (-3, -4) c. (-4,-5) (8, -5)
Which of the following coordinate pairs has a distance of 9 units? a. (-8,-4) (-8, 5) b. (-2,-4) (-3, -4) c. (-4,-5) (8, -5)