Learning Target Exit Slip: Perimeter and Area on the Coordinate Plane
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This learning activity provided by:
Author:
Adriane Howard
System: Tuscaloosa City School: Paul W Bryant High School
General Activity Information
Activity ID:
2588
Title: Learning Target Exit Slip: Perimeter and Area on the Coordinate Plane
Digital Tool/Resource: Perimeter and Area on the Coordinate Plane - Learning Target Exit Slip Google Forms
Web Address – URL:
Overview: In this activity, students will complete an exit slip using Google Forms. Students will begin the activity by rating their understanding of computing perimeters of polygons and the area of triangles and rectangles in the coordinate plane. Finally, students will respond to a short answer question in order to demonstrate mastery of the content standard.
This activity was created as a result of 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 use coordinates to compute perimeters of polygons and areas of triangles and rectangles using the distance formula and dynamic geometry software.
Strategies, Preparations and Variations
Phase: After/Explain/Elaborate
Activity:
The teacher will provide students with the link to the Google Form using a learning platform such as Google Classroom, Canvas, etc.
The students will complete the exit slip by answering the questions on the Google Form. Students will begin the activity by rating their understanding of computing perimeters of polygons and the area of triangles and rectangles in the coordinate plane. Finally, students will respond to a short answer question in order to demonstrate mastery of computing the perimeter and area of a triangle.
Students will then submit their responses and receive immediate feedback.
Assessment Strategies: The Google Form will serve as an assessment.
Teachers may require students to answer the optional question "Do you have any questions for your teacher regarding the use of coordinates to compute perimeters of polygons and areas of triangles and rectangles using the distance formula and dynamic geometry software?" of the Google Form.
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): 2019 Course of Study Standard:
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, coordinate plane, distance formula, dynamic software, perimeter
