MA.6.GR.1.3

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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.)
Grade: 6
Strand: Geometric Reasoning
Standard: Apply previous understanding of the coordinate plane to solve problems.
Date Adopted or Revised: 08/20
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.