Computer-based Lesson - Applying Geometric Principles by Robert Foreman
Integrating Computer Technology into the Classroom Final Activity
Title: Applying Geometric Principles
Learner Level: GED – Math Level 5, ELA Reading Level 5
Pre-Instruction:
To successfully complete this lesson, you must be able to:
· Log into a PC;
· Access sites on the Internet;
· Convert fractions to decimals using a calculator;
· Add fractions and decimals;
· Round off fractions and decimals to the nearest whole number
· Define and identify terms commonly used to identify and classify geometric shapes including: area, triangle (3 types) base, height, circle, radius, diameter, rectangle, square, and perimeter;
· Calculate the area of circles, rectangles, and triangles;
Duration: Three hours
Materials:
To complete this lesson, the student will need:
· A PC with Internet connectivity
· Assignment sheet #20 downloadable from the DL Instructional Site
Objectives:
Given a PC computer with Internet connection and the worksheet for Assignment #20, the learner will identify geometric shapes found in the sample garden design from the worksheet and calculate the area of each shape and the number of flowers that will go in each one. Successful completion of this exercise will be demonstrated by the learner’s answering the student assessment with 60% correct.
Procedure:
This activity will give you an opportunity to apply various mathematical concepts that we have learned over the past few months. To complete this assignment, you can choose to do the following steps, or you can attempt to discover your own method:
1. Log into the instructional website and download Assignment 20.
2. Calculate the total area of the garden.
3. Calculate the area of the circle and subtract it from the total area.
a. This is the area to be filled with multi-colored flowers.
b.Divide the area by the number of plants that fit in it (16 square foot).
c. Round off the answer to the nearest whole number.
4. Calculate the area of a triangle and multiply by 4.
a. This is the area to be filled with blue flowers.
b.Divide the area by the number of plants that fit in it (16 square foot).
c. Round off the answer to the nearest whole number.
5. Add the total area of the circle and the triangles.
6. Subtract the results of step 4 from the results of step 1.
a. This is the area to be filled with red flowers.
b.Divide the area by the number of plants that fit in it (16 square foot).
c. Round off the answer to the nearest whole number.
7. Complete the answer sheet based on the results of your work.
Evaluation:
Learner will
answer the questions at the end of the Assignment Sheet with 60%
accuracy.
Applied Mathematics Assignment #20 - Designing and Planning for a flower garden.
Student Name:__________________________________ Date Completed:___________
You are designing a garden with three different types of flowers. You know that 16 plants will fit in one square foot. Calculate the dimensions of each section of the garden and determine how many plants will be place in each section according to the following plan:
-
Multi-colored flowers (pansies) inside of the circle.
-
Blue flowers (bluebells) in the triangular sections.
-
Red flowers (geraniums) in the remaining sections.
When finished, answer the questions at the bottom of the page and return the page to your teacher via e-mail.
20 feet
8
feet
Hints:
· The radius of the circle is 4 feet.
· The triangles are right triangles with a height of 4 feet.
· Suggested steps for finding the answers are provided on the assignment sheet although you are encouraged to figure out your own method.
· For help computing area geometric shapes you can visit: www.mathleague.com/help/geometry/area.htm.
Evaluation:
Answer the following questions in the space provided:
1. How many multi-color flowered plants will you need? _________________________
2. How many blue flowered plants will you need? ______________________________
3. How many red flowered plants will you need? _______________________________