MAFS.5.G.1.1Archived Standard

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Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
General Information
Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Geometry
Cluster: Level 1: Recall
Cluster: Graph points on the coordinate plane to solve real-world and mathematical problems. (Additional Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date Adopted or Revised: 02/14
Content Complexity Rating: Level 1: Recall - More Information
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
    Also Assesses:
    MAFS.5.G.1.2 
  • Assessment Limits :
    Items assessing MAFS.5.G.1.1 may not require directions between two given points. Points must rely on the origin.

    Items assessing MAFS.5.G.1.1 may require identifying the point (e.g., Point A) on a coordinate grid that represents a given ordered pair. 

    Items assessing MAFS.5.G.1.1 may require determining the ordered pair that represents a given point on the coordinate plane. 

    Items assessing MAFS.5.G.1.1 may not require graphing/plotting a point given an ordered pair. 

    Points may only contain positive, whole number ordered pairs. 

    Mathematical and real-world problems must have axes scaled to whole numbers (not letters).

  • Calculator :

    No

  • Context :
    No context for MAFS 5.G.1.1; Allowable for MAFS.5.G.1.2
Sample Test Items (4)
  • Test Item #: Sample Item 1
  • Question: Point Z is 3 units away from the origin on the x-axis. 

    What could be the coordinates of point Z? 

     

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 3
  • Question: Some locations in Lamar’s town are shown in the coordinate plane.

     

    Lamar moved from one location to another by traveling 1 unit left and 5 units. up.

    Which ways could he have traveled?

     

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 4
  • Question: The location of point M on the coordinate plane is (2, 7). 

    Select numbers to describe point M on the coordinate plane. For each blank, fill in the circle before the number that is correct.

     

    Point M is A. 0    units away from the origin in the direction of the x-axis.

    B. 2

    C. 5

    D. 7

    E. 9

     

    Point M is  A. 0   units away from the origin in the direction of the y-axis.

    B. 2

    C. 5

    D. 7

    E. 9

  • Difficulty: N/A
  • Type: ETC: Editing Task Choice

Related Courses

This benchmark is part of these courses.
5012070: Grade Five Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
5020060: Science - Grade Five (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
7720060: Access Science Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2023, 2023 and beyond (current))
5020120: STEM Lab Grade 5 (Specifically in versions: 2016 - 2022, 2022 and beyond (current))
5012065: Grade 4 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Educational Games

BattleGraph:

A game that is an off-shoot of the classic game Battleship, for practice with coordinate graphing, complete with reproducible templates and animated PowerPoint introduction.

Type: Educational Game

Maze Game:

In this activity, students enter coordinates to make a path to get to a target destination while avoiding mines. This activity allows students to explore Cartesian coordinates and the Cartesian coordinate plane. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Formative Assessments

Understanding Coordinates:

Students are asked to explain the meaning of each coordinate and identify the x- and y-coordinates of a given ordered pair.

Type: Formative Assessment

Properties of Coordinate Planes:

Students describe the different components of a coordinate plane and then determine the coordinates of a point located in quadrant one.

Type: Formative Assessment

Coordinates:

Students will use directions provided to locate a point on the coordinate plane and then identify its x- and y-coordinates.

Type: Formative Assessment

What Do the Coordinates Mean?:

Students are asked to explain the meaning of each coordinate and identify the x- and y-coordinates of a given ordered pair.

Type: Formative Assessment

Lesson Plans

Coding Geometry Challenge # 16, 18 & 19:

This set of geometry challenges focuses on creating a variety of polygons using the coordinate plane as students problem solve and think as they learn to code using block coding software.  Student will need to use their knowledge of the attributes of polygons and mathematical principals of geometry to accomplish the given challenges. The challenges start out fairly simple and move to more complex situations in which students can explore at their own pace or work as a team. Computer Science standards are seamlessly intertwined with the math standards while providing “Step it up!” and “Jump it up!” opportunities to increase rigor.

Type: Lesson Plan

Hop on the Grid:

In this lesson students will learn how to plot ordered pairs on a grid. The students will physically hop on a (12x12) coordinate grid created by the teacher. The student will accurately plot ordered pairs given.

Type: Lesson Plan

Plotting for Treasure:

In this lesson, students will identify and graph points on the first quadrant of a coordinate plane and then use their knowledge to create and play a game to determine the position of treasure as indicated on a coordinate plane.

Type: Lesson Plan

Human Ordered Pairs:

This is a fun hands-on and interactive lesson on graphing ordered pairs on a coordinate grid.

Type: Lesson Plan

Graphing points on the coordinate plane.:

This lesson introduces the students to the coordinate system.

Type: Lesson Plan

"Design A Town" Coordinates:

Students will learn how to plot coordinates on the x and y-axis in the first quadrant. Students will start with plotting and creating simple shapes and progress through more complex shapes. The wrap up lesson will have the students plot and create their own town.

Type: Lesson Plan

Property Picking Pickle:

Students will graph points on a coordinate plane to help them to determine which property would be best suited for a recreational building. This lesson has students practice graphing points, as well as challenging their critical thinking skills with a real world problem.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

Type: Lesson Plan

Quadrant Shuffle:

Students will work cooperatively using varying modalities in order to demonstrate how to graph coordinates(ordered pairs) on a coordinate plane. Students will be engaged in singing, dancing, and using either stickers or self created illustrations to create a coordinate grid treasure map.

Type: Lesson Plan

Original Student Tutorials

What Do You Mean the Coordinate Plane Doesn’t Fly?:

Learn about the basics of the coordinate plane by focusing on Quadrant I and see why the coordinate plane is useful in everyday life in this interactive tutorial.

Type: Original Student Tutorial

You Sank my Battleship!:

Learn how to accurately plot coordinates on a plane in interactive tutorial.

Type: Original Student Tutorial

Problem-Solving Task

Battle Ship Using Grid Paper:

The purpose of this task is to give students practice plotting points in the first quadrant of the coordinate plane and naming coordinates of points. It could be easily adapted to plotting points with negative coordinates. It also provides teachers with a good opportunity to assess how well their students understand how to plot ordered pairs and identify the coordinates of points.

Type: Problem-Solving Task

Tutorials

Coordinate Plane: Graphing Points in Quadrant I:

This Khan Academy tutorial video presents how to graph an ordered pair of positive numbers on the x- and y-axis of a coordinate plane.

Type: Tutorial

The Cartesian Coordinate System:

The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions.  While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards.  Most likely only advanced fifth graders would find the video engaging.  

Type: Tutorial

STEM Lessons - Model Eliciting Activity

Property Picking Pickle:

Students will graph points on a coordinate plane to help them to determine which property would be best suited for a recreational building. This lesson has students practice graphing points, as well as challenging their critical thinking skills with a real world problem.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom.

MFAS Formative Assessments

Coordinates:

Students will use directions provided to locate a point on the coordinate plane and then identify its x- and y-coordinates.

Properties of Coordinate Planes:

Students describe the different components of a coordinate plane and then determine the coordinates of a point located in quadrant one.

Understanding Coordinates:

Students are asked to explain the meaning of each coordinate and identify the x- and y-coordinates of a given ordered pair.

What Do the Coordinates Mean?:

Students are asked to explain the meaning of each coordinate and identify the x- and y-coordinates of a given ordered pair.

Original Student Tutorials Mathematics - Grades K-5

What Do You Mean the Coordinate Plane Doesn’t Fly?:

Learn about the basics of the coordinate plane by focusing on Quadrant I and see why the coordinate plane is useful in everyday life in this interactive tutorial.

You Sank my Battleship!:

Learn how to accurately plot coordinates on a plane in interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorials

What Do You Mean the Coordinate Plane Doesn’t Fly?:

Learn about the basics of the coordinate plane by focusing on Quadrant I and see why the coordinate plane is useful in everyday life in this interactive tutorial.

Type: Original Student Tutorial

You Sank my Battleship!:

Learn how to accurately plot coordinates on a plane in interactive tutorial.

Type: Original Student Tutorial

Educational Game

Maze Game:

In this activity, students enter coordinates to make a path to get to a target destination while avoiding mines. This activity allows students to explore Cartesian coordinates and the Cartesian coordinate plane. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Tutorials

Coordinate Plane: Graphing Points in Quadrant I:

This Khan Academy tutorial video presents how to graph an ordered pair of positive numbers on the x- and y-axis of a coordinate plane.

Type: Tutorial

The Cartesian Coordinate System:

The Cartesian Coordinate system, formed from the Cartesian product of the real number line with itself, allows algebraic equations to be visualized as geometric shapes in two or three dimensions.  While this tutorial includes the basis of Coordinate system, it also includes ideas beyond fifth grade standards.  Most likely only advanced fifth graders would find the video engaging.  

Type: Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

Educational Game

BattleGraph:

A game that is an off-shoot of the classic game Battleship, for practice with coordinate graphing, complete with reproducible templates and animated PowerPoint introduction.

Type: Educational Game

Problem-Solving Task

Battle Ship Using Grid Paper:

The purpose of this task is to give students practice plotting points in the first quadrant of the coordinate plane and naming coordinates of points. It could be easily adapted to plotting points with negative coordinates. It also provides teachers with a good opportunity to assess how well their students understand how to plot ordered pairs and identify the coordinates of points.

Type: Problem-Solving Task