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How can we use absolute value to find the distance between points F (-8,-4) and G (3,-4)?

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How can we use absolute value to find the distance between points F (-8,-4) and G (3,-4)? - PowerPoint PPT Presentation


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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

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Presentation Transcript
slide2

In this lesson you will learn to find the distance between two points that are in different quadrants by using a coordinate plane.

slide3

A (0,4)

6 units

B (6,4)

A

B

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

OR

|6 – 0|= |6| = 6

slide4

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

(6,4)

slide6

C (-3,3)

D (2,3)

C

D

E (-3,-4)

E

slide7

C (-3,3)

D (2,3)

C

D

|-3-2|= |-5| = 5

OR

|2 – (-3)| = |5| = 5

slide8

C (-3,3)

E (-3,-4)

C

|3 – (-4)|= |7| = 7

OR

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

E

slide9

F (-8,-4)

G (3,-4)

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

|3 – (-8)|= |11| = 11

F

G

slide10

In this lesson you have learned to find the distance between two points that are in different quadrants by using a coordinate plane.

slide11

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.

slide12

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.

slide13

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.
slide14

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.
slide15

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)

slide16

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)