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Distance On the Coordinate Plane

Distance On the Coordinate Plane

Assessment

Presentation

•

Mathematics

•

6th Grade

•

Practice Problem

•

Medium

•
CCSS
6.NS.C.8, 6.NS.C.6B, 6.G.A.3

+4

Standards-aligned

Created by

Meagan Lumley

Used 285+ times

FREE Resource

6 Slides • 32 Questions

1

Distance On the Coordinate Plane

I can determine vertical or horizontal distances on the coordinate plane.

Slide image

2

Multiple Choice

Distance is always a ______ number.

1

Negative

2

Positive

3

Positive or Negative

3

Multiple Choice

So, distance should NEVER have a ______ answer.

1

Positive

2

Negative

4

The 4 Quadrants

  • Quadrant I = ( + , + )

  • Quadrant II = ( - , + )

  • Quadrant III = ( - , - )

  • Quadrant IV = ( + , - )

Slide image

5

Multiple Choice

Quadrant I has what signs?

1

( + , + )

2

( - , - )

3

( + , - )

4

( - , + )

6

Multiple Choice

Quadrant IV has what signs?

1

( + , + )

2

( - , - )

3

( + , - )

4

( - , + )

7

Multiple Choice

Quadrant III has what signs?

1

( + , + )

2

( - , - )

3

( + , - )

4

( - , + )

8

Multiple Choice

Quadrant II has what signs?

1

( + , + )

2

( - , - )

3

( + , - )

4

( - , + )

9

Multiple Choice

Are these two points in the same quadrant? Or different?


( -2 , 3 ) and ( 6 , -7)

1

Same Quadrant

2

Different Quadrant

10

Multiple Choice

Are these two points in the same quadrant? Or different?


( 10 , 4 ) and ( 3 , 4)

1

Same Quadrant

2

Different Quadrant

11

Multiple Choice

Are these two points in the same quadrant? Or different?


( 9 , -2 ) and ( 8 , -2)

1

Same Quadrant

2

Different Quadrant

12

Same Quadrant? Subtract!

  • We can find the distance between points that lie in the same quadrant, like the Ferris Wheel and the Rollercoaster, using subtraction.

  • The Rollercoaster is at (5, 2)

  • The Ferris Wheel is at (5, 6)

  • |6| - |2| = 6 - 2 = 4

  • The Ferris Wheel and Rollercoaster are 4 spaces apart.

Slide image

13

Find the distance between these two points using subtraction.

( 3 , 6 ) and ( 3 , 11 )




Make sure to subtract their ABSOLUTE VALUES.

14

Multiple Choice

Find the distance between these two points using subtraction. (Remember to use their ABSOLUTE values!)


( -2 , 10 ) and ( -5 , 10 )

1

3

2

-3

3

7

4

-7

15

Multiple Choice

Find the distance between these two points using subtraction. (Remember to use their ABSOLUTE values!)


( 8 , 4 ) and ( 8 , 22 )

1

26

2

-26

3

18

4

-18

16

Multiple Choice

Find the distance between these two points using subtraction. (Remember to use their ABSOLUTE values!)


( -11 , -3 ) and ( -2 , -3 )

1

13

2

9

3

-9

4

-13

17

Different Quadrant? Add!

  • We can find the distance between points that lie in the different quadrants, like the Restrooms and the Water Slide, using addition.

  • The Restrooms are at ( 4 , -4 )

  • The Water Slide is at ( -3 , -4 )

  • |4| + |-3| = 4 + 3 = 7

  • The restrooms and water slide are 7 spaces apart.

Slide image

18

Find the distance between these two points using addition.

( 5 , -2 ) and ( -3 , -2)





Make sure to add their ABSOLUTE VALUES!

19

Multiple Choice

Find the distance between these two points using addition.


( 10 , -2 ) and ( -3 , -2)

1

13

2

-13

3

7

4

-7

20

Multiple Choice

Find the distance between these two points using addition.


( -4 , -4 ) and ( 7 , -4 )

1

3

2

-11

3

-3

4

11

21

Multiple Choice

Find the distance between these two points using addition.


( 5 , -8 ) and ( 5 , 12 )

1

-20

2

20

3

4

4

-4

22

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

Same = Subtract , Different = aDD


( 2 , 10 ) and ( 5 , 10 )

1

Same, 3

2

Same, 7

3

Different, 3

4

Different, 7

23

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

Same = Subtract , Different = aDD


( -8 , -2 ) and ( 5 , -2 )

1

Same, -13

2

Same, 13

3

Different, -13

4

Different, 13

24

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

Same = Subtract , Different = aDD


( 1 , 15 ) and ( 1 , -21 )

1

Same, -36

2

Same, 36

3

Different, -36

4

Different, 36

25

Multiple Choice

Determine if these points are in the same quadrant or different quadrants. Then find the distance using the right strategy.

Same = Subtract , Different = aDD


( -6 , 1 ) and ( 5 , 1 )

1

Same, 11

2

Same, 1

3

Different, 11

4

Different, 1

26

Multiple Choice

Question image

What is the distance between point A and point C?

1

5

2

6

3

3

4

1

27

Multiple Choice

Question image

What is the distance between point A and point B?

1

2

2

3

3

4

4

5

28

Multiple Choice

Question image

What is the distance between points A and E?

1

1

2

4

3

3

4

7

29

Multiple Choice

Question image

What is the distance between points B and D?

1

7

2

17

3

4

4

5

30

Multiple Choice

Question image

What is the distance between points C and D?

1

3

2

5

3

4

4

2

31

Multiple Choice

Question image

What is the distance between point E and point D?

1

1

2

4

3

2

4

9

32

Multiple Choice

Question image

What is the distance between points A and B?

1

2

2

3

3

4

4

5

33

Multiple Choice

Find the distance between (0, 6) and (0, -4)

1

2

2

-2

3

0

4

10

34

Multiple Choice

What is the distance between points  (5, 5) and  (1, 5) on a coordinate plane?
1
-4
2
4
3
10
4
-10

35

Multiple Choice

What is the distance between points (-7, 8) and (2, 8)?
1
4 units
2
5 units
3
3 units
4
9 units

36

Multiple Choice

What is the distance between points (3, -5) and (3, -8)?
1
1 unit
2
2 units
3
3 units
4
4 units

37

Multiple Choice

Find the distance between the following ordered pairs: (0, 6) and (0, -4)

1

6 units

2

4 units

3

10 units

4

11 units

38

Multiple Choice

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

1

3 units

2

4 units

3

5 units

4

2 units

pattern-tertiary

Distance On the Coordinate Plane

I can determine vertical or horizontal distances on the coordinate plane.

Slide image

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