Common Core: 5th Grade Math : Graph and Interpret Points on a Coordinate Plane: CCSS.Math.Content.5.G.A.2

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #1 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 10 and to the right \displaystyle 9, what is your new point? 

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Possible Answers:

\displaystyle (15,15)

\displaystyle (13,13)

\displaystyle (14,14)

\displaystyle (12,12)

\displaystyle (16,16)

Correct answer:

\displaystyle (12,12)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 10, we can add \displaystyle 10 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 9 we can add \displaystyle 9 to our \displaystyle xcoordinate point. 

\displaystyle 2+10=12

\displaystyle 3+9=12

\displaystyle (12,12)

Example Question #2 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 2 and to the right \displaystyle 8, what is your new point? 


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Possible Answers:

\displaystyle (12,5)

\displaystyle (7,3)

\displaystyle (4,11)

\displaystyle (3,7)

\displaystyle (11,4)

Correct answer:

\displaystyle (11,4)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 2, we can add \displaystyle 2 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 8 we can add \displaystyle 8 to our \displaystyle xcoordinate point. 

\displaystyle 2+2=4

\displaystyle 3+8=11

\displaystyle (11,4)

Example Question #36 : How To Graph An Ordered Pair

Starting at the coordinate point shown below, if you move up \displaystyle 6 and to the right \displaystyle 4, what is your new point? 


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Possible Answers:

\displaystyle (14,13)

\displaystyle (7,8)

\displaystyle (11,10)

\displaystyle (12,13)

\displaystyle (9,10)

Correct answer:

\displaystyle (7,8)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 6, we can add \displaystyle 6 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 4 we can add \displaystyle 4 to our \displaystyle xcoordinate point. 

\displaystyle 2+6=8

\displaystyle 3+4=7

\displaystyle (7,8)

Example Question #2 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 12 and to the right \displaystyle 7, what is your new point? 


Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\displaystyle (14,10)

\displaystyle (12,7)

\displaystyle (8,14)

\displaystyle (10,14)

\displaystyle (7,12)

Correct answer:

\displaystyle (10,14)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 12, we can add \displaystyle 12 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 7 we can add \displaystyle 7 to our \displaystyle xcoordinate point. 

\displaystyle 2+12=14

\displaystyle 3+7=10

\displaystyle (10,14)

Example Question #38 : How To Graph An Ordered Pair

Starting at the coordinate point shown below, if you move up \displaystyle 11 and to the right \displaystyle 5, what is your new point? 



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Possible Answers:

\displaystyle (11,5)

\displaystyle (2,5)

\displaystyle (8,13)

\displaystyle (5,2)

\displaystyle (5,11)

Correct answer:

\displaystyle (8,13)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 11, we can add \displaystyle 11 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 5 we can add \displaystyle 5 to our \displaystyle xcoordinate point. 

\displaystyle 2+11=13

\displaystyle 3+5=8

\displaystyle (8,13)

Example Question #6 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 5 and to the right \displaystyle 12, what is your new point? 

Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\displaystyle (6,14)

\displaystyle (13,5)

\displaystyle (9,18)

\displaystyle (15,7)

\displaystyle (12,3)

Correct answer:

\displaystyle (15,7)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 5, we can add \displaystyle 5 to our \displaystyle y coordinate point and because we are moving to the right \displaystyle 12 we can add \displaystyle 12 to our \displaystyle xcoordinate point. 

\displaystyle 2+5=7

\displaystyle 3+12=15

\displaystyle (15,7)

Example Question #7 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 2 and to the left \displaystyle 3, what is your new point? 

Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\displaystyle (4,0)

\displaystyle (2,6)

\displaystyle (1,4)

\displaystyle (4,1)

\displaystyle (0,4)

Correct answer:

\displaystyle (0,4)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 2, we can add \displaystyle 2 to our \displaystyle y coordinate point and because we are moving to the left \displaystyle 3 we can subtract \displaystyle 3 from our \displaystyle xcoordinate point. 

\displaystyle 2+2=4

\displaystyle 3-3=0

\displaystyle (0,4)

Example Question #8 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 7 and to the left \displaystyle 2, what is your new point?

 Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\displaystyle (14,5)

\displaystyle (7,6)

\displaystyle (917)

\displaystyle (1,9)

\displaystyle (3,4)

Correct answer:

\displaystyle (1,9)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 7, we can add \displaystyle 7 to our \displaystyle y coordinate point and because we are moving to the left \displaystyle 2 we can subtract \displaystyle 2 from our \displaystyle xcoordinate point. 

\displaystyle 2+7=9

\displaystyle 3-2=1

\displaystyle (1,9)

Example Question #3 : Graph And Interpret Points On A Coordinate Plane: Ccss.Math.Content.5.G.A.2

Starting at the coordinate point shown below, if you move up \displaystyle 17 and to the left \displaystyle 1, what is your new point?

 Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\displaystyle (5,16)

\displaystyle (16,7)

\displaystyle (19,2)

\displaystyle (20,3)

\displaystyle (2,19)

Correct answer:

\displaystyle (2,19)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving up \displaystyle 17, we can add \displaystyle 17 to our \displaystyle y coordinate point and because we are moving to the left \displaystyle 1 we can subtract \displaystyle 1 from our \displaystyle xcoordinate point. 

\displaystyle 2+17=19

\displaystyle 3-1=2

\displaystyle (2,19)

Example Question #31 : Geometry

Starting at the coordinate point shown below, if you move down \displaystyle 1 and to the right \displaystyle 4, what is your new point? 



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Possible Answers:

\displaystyle (4,3)

\displaystyle (7,6)

\displaystyle (5,8)

\displaystyle (7,1)

\displaystyle (2,3)

Correct answer:

\displaystyle (7,1)

Explanation:

The starting point is at \displaystyle (3,2). When we move up or down we are moving along the \displaystyle y-axis. When we move to the right or left we are moving along the \displaystyle x-axis. 

Moving up the \displaystyle y-axis and moving right on the \displaystyle x-axis means addition. 

Moving down the \displaystyle y-axis and moving left on the \displaystyle x-axis means subtraction. 

Because we are moving down \displaystyle 1, we can subtract \displaystyle 1 from our \displaystyle y coordinate point and because we are moving to the right \displaystyle 4 we can add \displaystyle 4 to our \displaystyle xcoordinate point. 

\displaystyle 2-1=1

\displaystyle 3+4=7

\displaystyle (7,1)

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