# MAFS.6.G.1.3Archived Standard

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
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
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 of Last Rating: 02/14
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications

• 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 #: Sample Item 1
• Question: 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 =

• Difficulty: N/A
• Type: EE: Equation Editor

## Related Courses

This benchmark is part of these courses.
1205010: M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1205020: M/J Accelerated Mathematics Grade 6 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101010: M/J Two-Dimensional Studio Art 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101020: M/J Two-Dimensional Studio Art 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101040: M/J Three-Dimensional Studio Art 1 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101050: M/J Three-Dimensional Studio Art 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
0101025: M/J Two-Dimensional Studio Art 2 & Career Planning (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))
0101005: M/J Exploring Two-Dimensional Art (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101026: M/J Two-Dimensional Studio Art 3 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101035: M/J Exploring Three-Dimensional Art (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
0101060: M/J Three-Dimensional Studio Art 3 (Specifically in versions: 2014 - 2015, 2015 - 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.

## Formative Assessments

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

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

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.

Type: Lesson Plan

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

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.

Type: Lesson Plan

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.

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

In this game, a student challenges a partner to recreate his or her quadrilateral or other shape on a geoboard by calling out the ordered pairs of the quadrilateral's vertices.

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). As an extension or next lesson, students will draw their own polygons on the four-coordinate grid and provide the coordinates for each.

Type: Lesson Plan

## Perspectives Video: Professional/Enthusiast

Art and Prototyping with Laser-cut Materials:

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

Type: Perspectives Video: Professional/Enthusiast

## Student Center Activity

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.

Type: Student Center Activity

## Tutorials

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.

Type: Tutorial

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

Type: Tutorial

## STEM Lessons - Model Eliciting Activity

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.

## MFAS Formative Assessments

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.

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.

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.

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.

## Student Resources

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

## Student Center Activity

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.

Type: Student Center Activity

## Tutorials

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.

Type: Tutorial