Word Expert: Perimeter and Area on the Coordinate Plane
A Learning Activity is a strategy a teacher chooses to actively
engage students in learning a concept or skill using a digital tool/resource.
You may save this Learning Activity to your hard drive as an .html file by
selecting “File”,then “Save As” from your browser’s
pull down menu. The file name extension must be .html.
This learning activity provided by:
Author:
Adriane Howard
System: Tuscaloosa City School: Paul W Bryant High School
General Activity Information
Activity ID:
2586
Title: Word Expert: Perimeter and Area on the Coordinate Plane
Digital Tool/Resource: Word Expert Google Slideshow
Web Address – URL:
Overview: In this activity, students will work in groups to create posters using Google Slides. Each poster will demonstrate an understanding of geometry words/skills that are prerequisites for computing the perimeters of polygons and the area of triangles in the coordinate plane. Students will complete this activity by providing constructive feedback to their peers via a virtual gallery walk.
This activity results from the ALEX Resource Development Summit.
Associated Standards and Objectives
Content Standard(s):
Mathematics 18. Given the coordinates of the vertices of a polygon, compute its perimeter and area using a variety of methods, including the distance formula and dynamic geometry software, and evaluate the accuracy of the results.
Unpacked Content
Evidence Of Student Attainment:
Students:
Given the coordinates of the vertices of a polygon,
Use the distance formula to find the measure of the sides to aide in computing the perimeter and area using a variety of methods. Methods may include:
Using the distance formula to find the length of each side.
Using slopes of perpendicular lines to determine when a side of a triangle or
quadrilateral may be used as the height.
Using a system of equations and the distance formula to find the height of a
non right triangle.
Using geometry software such as geogebra.org to find the perimeter and area of polygons to aide in the accuracy of results. Teacher Vocabulary:
Coordinates
vertices
perimeter
Area
Distance formula
Evaluate
Accuracy Knowledge:
Students know:
The distance formula and its applications.
Techniques for coordinate graphing.
Techniques for using geometric software for coordinate graphing and to find the perimeter and area. Skills:
Students are able to:
Create geometric figures on a coordinate system from a contextual situation.
Accurately find the perimeter of polygons and the area of polygons such as triangles and rectangles from the coordinates of the shapes.
Explain and justify solutions in the original context of the situation. Understanding:
Students understand that:
Contextual situations may be modeled in a Cartesian coordinate system.
Coordinate modeling is frequently useful to visualize a situation and to aid in solving contextual problems. Diverse Learning Needs:
Essential Skills:
Learning Objectives: GEO.18.1: Define area, perimeter, regular polygons, inscribed polygons, circumscribed polygons, and vertices.
GEO.18.2: Analyze the given information to develop a logical process to calculate area or perimeter.
GEO.18.3: Create equations for area and perimeter based on given information.
GEO.18.4: Illustrate graphically an inscribed or circumscribed polygon.
GEO.18.5: Solve equations given the area and perimeter.
GEO.18.6: Plot given coordinates on the Cartesian plane.
Prior Knowledge Skills:
Define quadrant, coordinate plane, coordinate axes (x-axis and y-axis), horizontal, vertical, and reflection.
Demonstrate an understanding of an extended coordinate plane.
Draw and label a 4 quadrant coordinate plane.
Draw and extend vertical and horizontal number lines.
Interpret graphing points in all four quadrants of the coordinate plane in real-world situations.
Recall how to graph points in all four quadrants of the coordinate plane.
Define area.
Analyze the area of other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes.
Apply area formulas to solve real-world mathematical problems.
Demonstrate how the area of a rectangle is equal to the sum of the area of two equal right triangles.
Explain how to find the area for rectangles.
Select manipulatives to demonstrate how to compose and decompose triangles and other shapes.
Recognize and demonstrate that two right triangles make a rectangle.
Define vertices.
Apply absolute value to find the length of a side joining points with the same first coordinate or the same second coordinate.
Plot points on a coordinate plane., then connect points for the vertices to sketch a polygon.
Identify ordered pairs.
Recognize polygons.
Define perimeter and area.
Identify the length between vertices on a coordinate plane.
Calculate the perimeter and area using the distance between the vertices.
Alabama Alternate Achievement Standards
AAS Standard:
Learning Objectives: Students will demonstrate an understanding of geometry words/skills that are prerequisites for computing perimeters of polygons and the area of triangles and rectangles in the coordinate plane.
Strategies, Preparations and Variations
Phase: Before/Engage
Activity:
The teacher will upload the Word Expert Google Slideshow to a learning platform that will allow every student to edit the Google Slide presentation, such as Google Classroom.
Each group of students will create a poster for their assigned word using the uploaded Google Slides presentation. The word assignments are on the Google Slideshow (see Slide 6): slope, parallel lines, perpendicular lines, perimeter, area, and distance along a line segment. The poster must include the following information: Vocabulary Word, Essential Characteristics, Example, and Non-Example.
Each group must post a link to their poster on the appropriate slide of this activity.
Finally, each group will provide collective feedback to three predetermined groups using one of the assigned prompts:
I would suggest...
I would like to know...
This is strong because...
To conclude this activity, teachers may pose the following discussion questions to students via an online learning platform or during face-to-face instruction:
Why do you think gaining a better understanding of the vocabulary words in this activity will prepare you to compute the perimeters of polygons and the area of triangles and rectangles in the coordinate plane?
How does this activity make you feel more accountable for quality work?
Assessment Strategies: The group posters and class discussion will serve as an assessment to identify mastery of an understanding of geometry words/skills that are prerequisites for computing perimeters of polygons and the area of triangles and rectangles in the coordinate plane.
Advanced Preparation:
Students will need internet access and a device.
The activity will need to be shared with students on an online learning platform such as Google Classroom, Canvas, etc.
Variation Tips (optional):
Notes or Recommendations (optional): ALCOS 2019
18. Given the coordinates of the vertices of a polygon, compute its perimeter and area using a variety of methods, including the distance formula and dynamic geometry software, and evaluate the accuracy of the results.
Keywords and Search Tags
Keywords and Search Tags:
area, distance along a line segment, parallel lines, perimeter, perpendicular lines, slope
