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Grade 6 Mathematics Module 5, Topic B: Polygons on the Coordinate Plane

Classroom Resource Information

Title:

Grade 6 Mathematics Module 5, Topic B: Polygons on the Coordinate Plane

URL:

https://www.engageny.org/resource/grade-6-mathematics-module-5-topic-b-overview

Content Source:

EngageNY

Type:

Lesson/Unit Plan

Overview:

In Module 3, students used coordinates and absolute value to find distances between points on a coordinate plane (6.NS.C.8). In Module 6, Topic B, students extend this learning to Lessons 7 and 8 where they find edge lengths of polygons (the distance between two vertices using absolute value) and draw polygons given coordinates (6.G.A.3). From these drawings, students determine the area of polygons on the coordinate plane by composing and decomposing into polygons with known area formulas. In Lesson 9, students further investigate and calculate the area of polygons on the coordinate plane and also calculate the perimeter. They note that finding perimeter is simply finding the sum of the polygon’s edge lengths (or finding the sum of the distances between vertices). Topic B concludes with students determining distance, perimeter, and area on the coordinate plane in real-world contexts.

Content Standard(s):

Mathematics
MA2019 (2019)
Grade: 6

25. Graph polygons in the coordinate plane given coordinates of the vertices to solve real-world and mathematical problems.

a. Determine missing vertices of a rectangle with the same x-coordinate or the same y-coordinate when graphed in the coordinate plane.

b. Use coordinates to find the length of a side between points having the same x-coordinate or the same y-coordinate.

c. Calculate perimeter and area of a polygon graphed in the coordinate plane (limiting to polygons in which consecutive vertices have the same x-coordinate or the same y-coordinate).

Unpacked Content

Evidence Of Student Attainment:

Students:
Given real-world and mathematical problems involving the mapping of polygons onto a coordinate system,

Determine the length of a side joining points with the same first coordinate or the same second coordinate.
Determine missing vertices of a rectangle.
Graph polygons in coordinate plane given vertices and solve real-world problems.

Teacher Vocabulary:

Polygon
Coordinate plane
Vertices
X-coordinate
Y-coordinate

Knowledge:

Students know:

Terminology associated with coordinate systems.
Correct construction of coordinate systems.

Skills:

Students are able to:

Graph points corresponding to ordered pairs.
Represent real-world and mathematical problems on a coordinate plane.
Interpret coordinate values of points in the context of real-world and mathematical situations.
Determine lengths of line segments on a coordinate plane when the line segment joins points with the same first coordinate or the same second coordinate.

Understanding:

Students understand that:

A variety of representations such as diagrams, number lines, charts, and graphs can be used to illustrate mathematical situations and relationships.
These representations help in conceptualizing ideas and in solving problems.
Distances on lines parallel to the axes on a coordinate plane are the same as the related distance on the axis (number line).

Diverse Learning Needs:

Essential Skills:

Learning Objectives:
M.6.25.1: Define vertices.
M.6.25.2: Apply absolute value to find the length of a side joining points with the same first coordinate or the same second coordinate.
M.6.25.3: Plot points on a coordinate plane., then connect points for the vertices to sketch a polygon.
M.6.25.4: Identify ordered pairs.
M.6.25.5: Recognize polygons.
M.6.25.6: Define perimeter and area.
M.6.25.7: Identify the length between vertices on a coordinate plane.
M.6.25.8: Calculate the perimeter and area using the distance between the vertices.

Prior Knowledge Skills:

Recognize and draw shapes having specified attributes such as a given number of angles or a given number of equal faces.
Identify triangles, quadrilaterals, pentagons, hexagons, heptagons, and octagons based on the number of sides, angles, and vertices.
Understand that shapes in different categories (e.g., rhombuses, rectangles, and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals).
Recognize rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories.
Recognize attributes of shapes.
Recall the vocabulary of shapes (labels, sides, faces, vertices, etc.). Sort shapes into categories.
Define ordered pair of numbers, quadrant one, coordinate plane, and plot points. Label the horizontal axis (x).
Label the vertical axis (y).
Identify the x- and y- values in ordered pairs.
Model writing ordered pairs.
Define vertex/vertices and angle.
Recall the formula for area (L × W).
Recognize that unit squares are equal.
Recall the formula for perimeter (P= L+L+W+W or P=2L + 2W).
Recall basic addition and multiplication facts.

Alabama Alternate Achievement Standards

AAS Standard:
M.AAS.6.25 Graph squares, rectangles, and triangles in the first quadrant of the coordinate plane.

Tags:

coordinate plane, coordinates, distance, edge, length, polygons, realworld, vertices

License Type:

Custom Permission Type
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Accessibility

Text Resources: Content is organized under headings and subheadings

Comments

There are four lessons on this topic.

This resource is free for teachers to access and use. All resources required for the lessons are available to print from the site.

This resource provided by:

Author:

Hannah Bradley

ALEX Classroom Resource

Grade 6 Mathematics Module 5, Topic B: Polygons on the Coordinate Plane