Calculating the Area of Composite Figures

Introduction

Finding the area of composite figures in a strand of Mathematics which falls under the Unit Measurements. It has a vast number of applications in real life and the idea its concepts are generally grasped by students. It involves calculating the area of figures that are not typical polygons but may also include a combination of polygons. As a result, the use of formulae for different polygons are used to calculate the area of the composite figure. As a prerequisite, to fully understand this topic, there must be knowledge of calculating the area of regular polygons. This WebQuest seeks to enhance an understanding of the topic finding the area of composite figures by showing the various ways in which composite figures can appear and the way how to solve them.

Task

In this WebQuest, the use of videos will be used to explain the concept of finding the area of composite figures, as a result, links to YouTubes videos will be provided so that access can be given to valuable information on the topic. The general objective that this WebQuest seeks to complete is to development an understanding of the area of composite figures and its application in real life. In keeping in line with the general objective, there are several specific objectives that needs to be completed to achieve this milestone.

  1. Understand what are composite figures after watching a small video.
  2. Appreciate the use of composite figures in real-life by seeing examples.
  3. Correctly calculate the area of composite shapes after watching a video with several examples.
  4. Understand the concept of calculating the area of composite figures by being able to correctly calculate the area composite figures that involve worded real-life questions.
Process

For the topic “calculating the area of composite figures”, the links below will guide through various subtopics which will aid in showing light on the topic itself.

What are composite shapes?

https://www.youtube.com/watch?v=98DNidWqI6c

After the completion this video, students will be asked to list examples of composite that shapes in real life. (The next video will give some examples)

Real Life Examples Composite Figures

https://www.youtube.com/watch?v=vqoTudvn5rA

Area of composite shapes

https://www.youtube.com/watch?v=by9-_95Zn08

Solving Word Problems of Composite Figures

https://www.youtube.com/watch?v=81vHsSadHUg

Subsequent to viewing and understanding the information from the links above, the next step would be an evaluation process which will check to see if the concept has been grasp.

Evaluation

In groups of four, you are required draw a three-dimensional house using all or at least two sets of the following shapes, triangles, quadrilaterals and circles (or semicircles). The house should have one door and two windows of different dimensions. All of the windows must inclusive of a composite shape consisting of two different shapes.

Write a specification sheet, outlining the dimensions windows and doors and a list of formulae to calculate the polygons used in drawing the house.

Calculate the area of the windows and give answers in squared centimeters.

Calculate the area of one wall (excluding the windows and/or doors) so the dimensions can be known to be covered with a special plastic material.

 

4 marks

3 marks

2 marks

0-1 mark

Drawing

Drawing of a house has at least two windows and a door and windows are drawn with a composite shape of two different shapes.

Drawing of house has two windows and a door however, windows are not of two different shapes.

 

Drawing does not have the required of amount but the shape of window is made up of composite figures.

 

Drawing does not have the required amount of windows and/or windows are not made of composite shapes

.

Specification Sheet

Nothing is omitted

All of the formulae are correct.

One incorrect formula.

Two or more incorrect formulae.

Calculation of Area of windows

Area of all windows are correctly calculated and answer given in correct units.

 

Areas of three windows are correctly calculated and answers given in correct units or all areas are calculated correctly without correct units.

Areas of two windows are correctly calculated and answer given in correct units or area of three windows correctly calculated without correct units.

Area one or two windows is correctly calculated without correct units or the area of one window correctly calculated with answer given in correct units.

Calculation of Area of wall

 

Area of wall is correctly calculated, with all steps shown and correct units.

 

Area of wall is correctly calculated with one step missing or units missing/incorrect.

Area of wall is missing vital steps but answer is correct and/or has missing units.

 

Area of wall is incorrectly calculated or no steps were shown to arrive at correct answer.

 
Conclusion

This brings us to the end of this WebQuest. Much gratitude is extended for your participation and it is the hope that your comprehension of the concept of finding the area of composite figures has been enhanced. To access more fun activities or information that involve calculating the area of composite figures, you may do so by clicking the following links:

Area of composite shapes

Area of Composite Figures

Area of Composite Figures – Easy Peasy All-in-One Homeschool

 

Please check the box which reflects your answer to the following evaluative questions.

Did you understand what are composite figures after watching a small video? Yes No

Did you realize the use of composite figures in real-life by seeing examples? Yes No

Can you correctly calculate the area of composite shapes after watching a video with examples? Yes No

Do you understand the concept of calculating the area of composite figures by being able to correctly calculate the area composite figures that involve worded real-life questions?

Yes No

Credits

This WebQuest and its contents are guided by the standards of the National Standards Curriculum (NSC). It is prepared by a Mathematics teacher in pursuit of a Bachelor’s Degree in Double Option Mathematics. This particular WebQuest is prepared for an eight-grade class, however, it may be beneficial to younger students or even older students. Special thank you to the publishers of all the reference materials (which included texts, videos and audios) that were used in this successful completion of this WebQuest.

The Learning Pod. (2008, Oct 6). Area of composite shapes --> --> -->. YouTube. https://www.youtube.com/watch?v=by9-_95Zn08

Sianturi., S. (2020, Apr 12). Solving Worded Problems of Composite Figures --> --> -->. YouTube. https://www.youtube.com/watch?v=81vHsSadHUg

MooMooMath and Science. (2015, Nov 22). Real Life Examples Composite Figures --> --> -->. YouTube. https://www.youtube.com/watch?v=vqoTudvn5rA

BoddleLearning. (2020, Apr 27). What are composite shapes - 1st Grade Math (1. GA. 2) --> --> -->. YouTube. https://www.youtube.com/watch?v=98DNidWqI6c

Khan Academy. (2020). Area of composite shapes. https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-geometry-topic/cc-6th-area/e/area-of-quadrilaterals-and-polygons

Onlinemath4all.com. (n. d).  Area of Composite Figures.  https://www.onlinemath4all.com/area-of-composite-figures.html

EASY PEASY ALL-IN-ONE HOMESCHOOL. (2020). Area of Composite Figures. https://allinonehomeschool.com/area-of-composite-figures/

Teacher Page

This WebQuest was designed to formulate an understanding of the concept and the importance of learning to calculate the area of composite figures in the real world by grade eight students. Emphasis is placed on real life examples as this topic can come in very handy in several occupations or in situations that may occur. The WebQuest may take anywhere between two and three hours to be effectively completed, provided that connection to internet is stable and fast. Additionally, the availability of resources such as rulers, pens and/or pencils, paper for drawing and an optional calculator will allow the process to be smoother.