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.

Let’s Review

A (0,4)

B (6,4)BA

|0-6|= |-6| = 6OR

|6 – 0| = |6| = 6

6 units

A Common MistakeBegin by moving along the y-axis first, and then along the x-axis when finding an ordered pair.

(6,4)

A Common MistakeReturning to the origin after plotting the x

value, and then moving on the y-axis.

(6,4)

Core Lesson

C (-3,3)

D (2,3)C D E (-3,-4)

E

Core Lesson C (-3,3)

D (2,3)

C D |-3-2|= |-5| = 5OR

|2 – (-3)| = |5| = 5

Core Lesson C (-3,3)

C

E (-3,-4)

E

|3 – (-4)| = |7| = 7 OR

|-4-3|= |-7| = 7

Core Lesson F (-8,-4)

G (3,-4)

F G

|-8-3|= |-11| = 11 OR

|3 – (-8)| = |11| = 11

In this lesson you have learned to find the distance between

two points that are in different quadrants by using a

coordinate plane.

Guided PracticeWhat 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.

Guided PracticeWhat 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.

Extension ActivitiesDistance 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.

Extension ActivitiesDice 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.

Quick Quiz

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)

Quick Quiz

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)