# MA.6.GR.1.3

Solve mathematical and real-world problems by plotting points on a coordinate plane, including finding the perimeter or area of a rectangle.

### Clarifications

Clarification 1: Instruction includes finding distances between points, computing dimensions of a rectangle or determining a fourth vertex of a rectangle.

Clarification 2: Problems involving rectangles are limited to cases where the sides are parallel to the axes.

General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Geometric Reasoning
Status: State Board Approved

## Related Courses

This benchmark is part of these courses.
1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
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))
7812015: Access M/J Grade 6 Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
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 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

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

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 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

## 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

## 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

## 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.

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.

Garden Coordinates:

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

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.

## 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

## Parent Resources

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