Standard #: MAFS.6.G.1.3 (Archived Standard)


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Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.


General Information

Subject Area: Mathematics
Grade: 6
Domain-Subdomain: Geometry
Cluster: Solve real-world and mathematical problems involving area, surface area, and volume. (Supporting 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
Date of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes

Test Item Specifications

    N/A

    Assessment Limits :
    Items may use all four quadrants. When finding side length, limit polygons to traditional orientation (side lengths perpendicular to axes).
    Calculator :

    No

    Context :

    Allowable



Sample Test Items (1)

Test Item # Question Difficulty Type
Sample Item 1 A square has a perimeter of 36 units. 

One vertex of the square is located at (3, 5) on the coordinate grid. 

What could be the x- and y-coordinates of another vertex of the square?

x = 

y = 

N/A EE: Equation Editor


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Related Resources

Formative Assessments

Name Description
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.

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.

Fence Length

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

Patio Area

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

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.

Lesson Plans

Name Description
Coding Geometry Challenges #1-7, 14 & 15

This set of geometry challenges focuses on creating a variety of polygons 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.

 

 

 

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.

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. Click here to learn more about MEAs and how they can transform your classroom.

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. 

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.

Plotting Polygons

Students are challenged to plot coordinates on a graph, in order to create a mystery polygon, and find the length of its horizontal and vertical sides using the coordinates.

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). 

 

Original Student Tutorial

Name Description
Capturing Flags on the Coordinate Plane Part 1

Get ready for an epic Capture the Flag Tournament as you explore the coordinate plane in this interactive tutorial.

Perspectives Video: Professional/Enthusiast

Name Description
Art and Prototyping with Laser-cut Materials

Blaze a trail when you utilize laser technology to make art.

Student Center Activity

Name Description
Edcite: Mathematics Grade 6

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Tutorials

Name Description
Graphing a Parallelogram on the Coordinate Plane

Students will graph the given coordinates of three of the polygon vertices, then locate and graph the fourth vertex. 

Quadrilateral on the Coordinate Plane

In this example, students are given the coordinates of the vertices and asked to construct the resulting polygon, specifically a quadrilateral.  

Student Resources

Original Student Tutorial

Name Description
Capturing Flags on the Coordinate Plane Part 1:

Get ready for an epic Capture the Flag Tournament as you explore the coordinate plane in this interactive tutorial.

Student Center Activity

Name Description
Edcite: Mathematics Grade 6:

Students can practice answering mathematics questions on a variety of topics. With an account, students can save their work and send it to their teacher when complete.

Tutorials

Name Description
Graphing a Parallelogram on the Coordinate Plane:

Students will graph the given coordinates of three of the polygon vertices, then locate and graph the fourth vertex. 

Quadrilateral on the Coordinate Plane:

In this example, students are given the coordinates of the vertices and asked to construct the resulting polygon, specifically a quadrilateral.  



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