Standard 1: Apply previous understanding of the coordinate plane to solve problems.

General Information
Number: MA.6.GR.1
Title: Apply previous understanding of the coordinate plane to solve problems.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Grade: 6
Strand: Geometric Reasoning

Related Benchmarks

This cluster includes the following benchmarks.

Related Access Points

This cluster includes the following access points.

Access Points

MA.6.GR.1.AP.1
Plot integer ordered pairs in all four quadrants and on both axes.
MA.6.GR.1.AP.2
Count the distance between two ordered pairs with the same x-coordinate or the same y-coordinate.
MA.6.GR.1.AP.3
Given a rectangle plotted on the coordinate plane, find the perimeter or area of the rectangle.

Related Resources

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

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

Graphing Points in the Plane:

Students are asked to graph points given their coordinates and describe the coordinates of graphed points.

Type: Formative Assessment

Graphing on Cartesian Planes:

Students are asked to graph points given their coordinates and describe the coordinates of graphed points when the axes have different scales.

Type: Formative Assessment

Polygon Grid:

Students are asked to draw a polygon given the coordinates of its vertices and to determine the length of the polygon’s diagonals.

Type: Formative Assessment

Polygon Coordinates:

Students are asked to draw a polygon given the coordinates of its vertices and to determine both the lengths of sides and if any sides are parallel.

Type: Formative Assessment

Fence Length:

Students are asked to draw a polygon given the coordinates of its vertices and to determine the perimeter of the polygon.

Type: Formative Assessment

Patio Area:

Students are asked to draw a polygon given the coordinates of its vertices, and to determine the area of the polygon.

Type: Formative Assessment

Garden Area:

Students are given coordinates of three vertices of a rectangle and asked to determine the fourth vertex and the area of the rectangle.

Type: Formative Assessment

Determine the Distance:

Students are given the coordinates of three points (with the same x- or y-coordinate) and asked to determine the distance between pairs of points without graphing.

Type: Formative Assessment

Point Locations:

Students are asked to compare the graphs of coordinates that are opposite in sign on a number line and in the coordinate plane.

Type: Formative Assessment

Locating Quadrants:

Students are asked to determine in what quadrant or on which axis, points described algebraically, are located.

Type: Formative Assessment

Garden Coordinates:

Students are given the coordinates of the vertices of a rectangle and are asked to graph the rectangle and find its perimeter.

Type: Formative Assessment

Bike Lot Coordinates:

Students are asked to graph two points given their coordinates and to find the coordinates of two other points so that the four points represent the vertices of a square.

Type: Formative Assessment

Lesson Plans

Guiding Grids: Math inspired self-portraits:

Students will create a proportional self portrait from a photo using a gridded drawing method and learn how a grid system can help accurately enlarge an image in a work of art. Students will use the mathematical concepts of scale, proportion and ratio, to complete their artwork.

Type: Lesson Plan

Where Will I Land?:

This is a beginning level lesson on predicting the effect of a series of reflections or a quick review of reflections for high school students.

Type: Lesson Plan

Newscast Weather Report:

This activity engages the students in using data on weather conditions for a set of hurricanes to understand relationships between wind speed, air pressure, and water temperature as well as the impact of global wind and water patterns on hurricane paths. The integrated lesson involves the knowledge of a coordinate plane and its application in ocean mapping.

Type: Lesson Plan

Profit Plaza:

This lesson requires students to use mathematical data and logic/reasoning to place vendors into retail spaces in a shopping plaza. Students will first rank five vendor types on their profitability (based on average sales and average overhead/upkeep costs), then place the vendor types into the 11-13 retail spaces. They are also required to find the area of each space and calculate the total leasing charges. The plans for the plaza are given on a coordinate plane, so students will need to find the lengths of horizontal and vertical line segments (using the coordinates of the endpoints) to calculate the areas of the rectangular and composite spaces.

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. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought processes. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Mapping the School:

This project is used to help students enhance their ability to use and understand the coordinate plane by creating a map of their school.

Type: Lesson Plan

Modern Math Target Practice:

The lesson uses the classroom as a coordinate plane then moves into plotting points on a graph. It culminates with a target-practice game.

Type: Lesson Plan

Game Room Copy Cat:

In this lesson, students will learn to plot points in all four quadrants of the coordinate grid, create a game room using only polygons, and describe the points in hopes of having their partner draw the exact room which will be kept a secret until the end. It's all about giving and following instructions while applying an understanding of positive and negative numbers on the coordinate grid.

Type: Lesson Plan

Capture the Boat - Sink the Teacher's Fleet!:

In this lesson, students learn about the four quadrants of a coordinate plane and how to plot points in those quadrants. Students also learn how to use linear equations to predict future input and output pairs. Students work together to try to sink the teacher's fleet in a Battleship-type game while the teacher tries to sink theirs first.

Type: Lesson Plan

Plotting Rectangles:

Students are challenged to plot coordinates on a graph in order to create a rectangle, and then find the length of its horizontal and vertical sides using the coordinates to calculate the area and perimeter. 

Type: Lesson Plan

Plotting Polygons with GeoGebra:

This introductory lesson guides students through the process of graphing polygons on the coordinate plane and finding vertical and horizontal side lengths. Explicit instructions are given for teachers who are new to GeoGebra. A detailed summative assessment includes extensions and an answer key is provided.

Type: Lesson Plan

Dogpound Graphing:

Students will graph ordered pairs within all four quadrants of a coordinate plane in order to complete the picture of a bulldog.

Type: Lesson Plan

Exploring Rotations with GeoGebra:

This lesson will help students understand the concept of geometric rotations. The teacher/students will use a GeoGebra applet to derive the rules for rotating a point on the coordinate plane about the origin for a 90-degree, 180-degree, and a 270-degree counterclockwise rotation.

Type: Lesson Plan

Coordinate Grids: The Key to the City (solving real-world problems using the coordinate grid):

This lesson contains a small group activity in which students use knowledge of graphing in a 4-quadrant coordinate grid. Students will individually solve a real-world problem to find the distance between two points on a coordinate grid. Students must utilize their knowledge of absolute value and subtracting integers to determine distances between points.

Type: Lesson Plan

The Mystery of Crop Circles...on a coordinate plane:

In this lesson, students will use their knowledge of plotting points on quadrant I of the coordinate plane to figure out other coordinate pairs within quadrants II, III, and IV. Students are challenged to match description cards to the matching "map" (four-coordinate grid). 

 

Type: Lesson Plan

Original Student Tutorials

Capturing Flags on the Coordinate Plane Part 2:

Explore reflections on a coordinate plane in epic Capture the Flag tournament with this interactive tutorial.

This is part 2 in a two-part series:

Type: Original Student Tutorial

Capturing Flags on the Coordinate Plane Part 1:

Explore the coordinate plane in an epic Capture the Flag tournament with this interactive tutorial.

This is part 1 in a two-part series:

Type: Original Student Tutorial

Perspectives Video: Professional/Enthusiast

Art and Prototyping with Laser-cut Materials:

<p>Blaze a trail when you utilize laser technology to make art.</p>

Type: Perspectives Video: Professional/Enthusiast

Perspectives Video: Teaching Ideas

Adding Integers:

Unlock an effective teaching strategy for using patterns to help students make generalizations when adding integers in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

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.

Type: Perspectives Video: Teaching Idea

Tutorials

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.

Type: Tutorial

Coordinate Plane: Word Problem Exercises:

This video demonstrates solving word problems involving the coordinate plane.

Type: Tutorial

The Coordinate Plane:

Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane.

Type: Tutorial

Coordinate Plane:

Students will become familiar with the coordinate plane.

Type: Tutorial

Graphing Points and Naming Quadrants:

This video contains examples of plotting coordinate pairs and identifying their quadrant.

Type: Tutorial

Coordinate Plane: Quadrants:

Students will learn how to identify the four quadrants in the 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

Student Resources

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

Original Student Tutorials

Capturing Flags on the Coordinate Plane Part 2:

Explore reflections on a coordinate plane in epic Capture the Flag tournament with this interactive tutorial.

This is part 2 in a two-part series:

Type: Original Student Tutorial

Capturing Flags on the Coordinate Plane Part 1:

Explore the coordinate plane in an epic Capture the Flag tournament with this interactive tutorial.

This is part 1 in a two-part series:

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 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.

Type: Tutorial

Coordinate Plane: Word Problem Exercises:

This video demonstrates solving word problems involving the coordinate plane.

Type: Tutorial

The Coordinate Plane:

Students will plot an ordered pair on the x (horizontal) axis and y (vertical) axis of the coordinate plane.

Type: Tutorial

Coordinate Plane:

Students will become familiar with the coordinate plane.

Type: Tutorial

Graphing Points and Naming Quadrants:

This video contains examples of plotting coordinate pairs and identifying their quadrant.

Type: Tutorial

Coordinate Plane: Quadrants:

Students will learn how to identify the four quadrants in the 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 topic.

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