Standard 1 : Graph points on the coordinate plane to solve real-world and mathematical problems. (Additional Cluster) (Archived)



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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.

General Information

Number: MAFS.5.G.1
Title: Graph points on the coordinate plane to solve real-world and mathematical problems. (Additional Cluster)
Type: Cluster
Subject: Mathematics - Archived
Grade: 5
Domain-Subdomain: Geometry

Related Standards

This cluster includes the following benchmarks
Code Description
MAFS.5.G.1.1: 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).
MAFS.5.G.1.2: Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.


Related Access Points

This cluster includes the following access points.

Access Points

Access Point Number Access Point Title
MAFS.5.G.1.AP.1a: Locate the x- and y-axis on a coordinate plane.
MAFS.5.G.1.AP.1b: Locate points on a coordinate plane.
MAFS.5.G.1.AP.1c: Graph ordered pairs (coordinates).
MAFS.5.G.1.AP.2a: Find a location on a map using given coordinates.


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.

Educational Software / Tool

Name Description
Free Graph Paper: A variety of graph paper types for printing, including Cartesian, polar, engineering, isometric, logarithmic, hexagonal, probability, and Smith chart.

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.

Lesson Plans

Name Description
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.

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.

Weather: What is Air Pressure?:

What is air pressure? This set of experiments will explore the properties of air to determine how its behavior affects the weather. 

Students will make conclusions about the properties of air based on the data they've recorded from their experiments.

This is lesson 1 for the air pressure component of a 5th grade unit on weather. The lesson uses weather sensors and connects computer science concepts within the lesson.

Weather: How Does Temperature Affect Air?:

In this lesson students will perform experiments and collect data to gather empirical evidence about how air molecules behave when heated and cooled. This is the 4th lesson in the 5th grade unit and  uses sensors and computer science skills to learn about weather.

Transfer The Heat:

This lesson introduces how heat transfers to different substances using an electrical device. The electrical device used create thermal energy changes a substance’s state of matter. This lesson contains a lab experiment that tests the timing at which butter changes to its melting point while using a lamp. This lab questions whether using a different electric device will conclude the same results. 

This is lesson 3 in the Detecting Electrical and Thermal Energy Unit.

Check The Temperature:

This lesson introduces the different states of matter for any substance. For this lesson students will be allowed to observe the changes water makes during the following states: solid, liquid, and gas. Students will engage in discussion to predict the temperature when a substance changes from solid to liquid and liquid to gas. Lastly, students will learn the advantages of using a line graph to analyze the relationship between two variables.

This is lesson 2 in a Unit on Detecting Thermal & Electrical Energy. 

Weather: How Does Air Warm Up?:

This experiment will model how sunlight striking the Earth’s surface warms the air around us. Students will investigate how surfaces of differing reflectivity determine how much sunlight is absorbed and converted to heat which in turn serves to warm the adjacent air.

This is lesson 3 in the fifth grade unit on weather. The lesson uses weather sensors and connects computer science concepts within the lesson.

Weather: Water Vapor in Our Atmosphere :

Learn about relative humidity: how to measure it, what causes it to change, and why it is an important component of our weather. This is lesson 2 in a fifth grade unit on weather and has two inquiry based experiments for students. The lesson uses weather sensors and connects computer science concepts within the lesson

Heatin' It Up or Coolin' It Down:

Many chemical reactions are accompanied by a change in temperature. Whether it is extreme or barely noticeable, the temperature may go up or it may go down. Investigate these two chemical reactions described in this lesson to experience two different kinds of temperature change.

 

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.

Where's the Weather?:

In this open inquiry lesson, student groups will try to identify an unknown location by incorporating data analysis and environmental weather patterns such as precipitation and temperature. Students will have to determine if the mystery location is a swamp, a desert, or a mountain by reviewing the given weather data. Students will have to justify their reasoning in writing to their peers.

Did you slow the flow, Joe?:

Students will identify the effects of friction on the falling rates of an object in different liquids using speed calculation. With these calculations, the students will synthesize a cause/effect statement from the results comparing thickness (viscosity) of the liquid and the speed on a falling object.

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.

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.

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.

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.

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.

Teaching Idea

Name Description
A Dolphin's Day-SeaWorld Classroom Activity:

In this activity, the students will use number and listening skills as they reinforce their understanding of dolphin behavior using echolocation. As the students listen to the teacher read a story about a dolphin's adventure they can either connect dots or plot points on a graph to figure out what the dolphin gets to eat at the end of the story.

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.