Standard 4 : Plot points and represent problems on the coordinate plane



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General Information

Number: MA.5.GR.4
Title: Plot points and represent problems on the coordinate plane
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 5
Strand: Geometric Reasoning

Related Benchmarks

This cluster includes the following benchmarks
Code Description
MA.5.GR.4.1: Identify the origin and axes in the coordinate system. Plot and label ordered pairs in the first quadrant of the coordinate plane.
Clarifications:
Clarification 1: Instruction includes the connection between two-column tables and coordinates on a coordinate plane.

Clarification 2: Instruction focuses on the connection of the number line to the x- and y-axis.

Clarification 3: Coordinate planes include axes scaled by whole numbers. Ordered pairs contain only whole numbers.

MA.5.GR.4.2: Represent mathematical and real-world problems by plotting points in the first quadrant of the coordinate plane and interpret coordinate values of points in the context of the situation.
Clarifications:
Clarification 1: Coordinate planes include axes scaled by whole numbers. Ordered pairs contain only whole numbers.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MA.5.GR.4.AP.1: Explore the first quadrant of the coordinate plane including the origin, axes and points located by using ordered pairs.
MA.5.GR.4.AP.2: Plot and label ordered pairs in the first quadrant of the coordinate plane.


Related Resources

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

Original Student Tutorials

Name Description
Just Get to the Point!:

Practice plotting coordinates, in Quadrant I, using ordered pairs in this interactive tutorial for students.

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.

Educational Games

Name Description
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.

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.

Formative Assessments

Name Description
Understanding Coordinates:

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

On the Coordinate Plane:

Students are asked to graph points in the first quadrant of the coordinate plane.

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.

Name the Ordered Pair:

Students determine the coordinates of the fourth vertex of a rectangle on the coordinate plane.

Making Bracelets:

Students determine and graph the relationship between two variables set in a real world context, and interpret coordinate values of points in the context of the situation.

Coordinates:

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

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.

Mowing the Lawn:

Students are asked to determine and graph the relationship between two variables within a real world context.

Comic Books:

Students are asked to complete one of two number patterns, write ordered pairs composed of corresponding terms, graph the ordered pairs, and identify a relationship between corresponding terms of the patterns.

Lesson Plans

Name Description
Plot the Constitution:

Students will work with a landscape architect to develop a plan for fountain placements and a walking path for a new city park. To complete the task, students must analyze and rank the U.S. Constitution‘s Bill of Rights according to the client’s directives. Students will apply geometry concepts to accurately plot and label coordinates on a park map. Throughout the process, students will work collaboratively to analyze and discuss their reasoning in this model eliciting activity.

Voter Turnout and the 19th Amendment:

Students will graph and analyze voting data to explain how the 19th Amendment expanded civic participation in this lesson plan. 

Voter Turnout and the 15th Amendment:

In this lesson plan, students will graph and analyze voting data to explain how the 15th Amendment expanded civic participation.

How Does Force Affect Motion?:

Students will explore how force affects an object's motion. Students will discuss how the greater the mass of an object, the greater the force required to move an object.  Students will use data gathered through experimentation to justify their reasoning and understanding of forces and motion.

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.

Graphy Graphy:

In this lesson, students will learn how to create a situational story problem using two coordinate points on a grid. The students will then be able to plot and describe the path traveled from the starting point to the destination based on the information presented in the situation.

Keeping Your Cool With Your Lunch Bag:

On this MEA activity, students will create a procedure to rank five lunch bags as to which one is the best in keeping food and drinks at a safe temperature and appealing to the taste, while keeping design and price on target.

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.

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.

Human Ordered Pairs:

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

Cool School:

In this lesson, students will take an imaginary trip to my lake house. They will solve a variety of real life word problems. Once at the lake they will experience many activities where they will need number sense. For the assessment, students will record and analyze data in order to determine who the best angler was at "Cool School."

Graphing points on the coordinate plane.:

This lesson introduces the students to the coordinate system.

Dig That Grid!:

In this lesson, students will use their knowledge of coordinates and coordinate pairs in a real life situation as they become archaeologists excavating a dig site. They will measure their site, label the grids with correct coordinates and use coordinate pairs to record the location of the artifacts they discover.

"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.

Map It Out!!:

In this lesson, students will use real life maps and apply their knowledge of coordinates (ordered pairs) in order to identify and name specific locations on a map and explain the relevance to their life.

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.

Perspectives Video: Teaching Idea

Name Description
Supporting English Language Learners in the Math Classroom:

Unlock an effective teaching strategy for using cognates to help English Language Learners in the Mathematics classroom in this Teacher Perspectives video for educators.

Problem-Solving Task

Name Description
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.

Tutorials

Name Description
Coordinate Plane: Graphing Points Word Problem:

This Khan Academy tutorial video presentation represents a word problem's solution on a coordinate plane to determine the number of blocks walked from a home to a school.

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.

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.  

Worksheet

Name Description
Graphing Growth-SeaWorld Classroom Activity:

Given the known weights of a killer whale at various ages, students will graph these weights, then use this information to estimate a killer whale's weight at other ages.



Student Resources

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

Original Student Tutorials

Title Description
Just Get to the Point!:

Practice plotting coordinates, in Quadrant I, using ordered pairs in this interactive tutorial for students.

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.

Educational Game

Title Description
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.

Tutorials

Title Description
Coordinate Plane: Graphing Points Word Problem:

This Khan Academy tutorial video presentation represents a word problem's solution on a coordinate plane to determine the number of blocks walked from a home to a school.

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.

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.  



Parent Resources

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

Educational Game

Title Description
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.

Problem-Solving Task

Title Description
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.