Paitner's Area

Authors: Raymond Lindsey, Jerry Loveday
School:  Jefferson County High School, Jefferson Middle School
Grades:  Sixth Grade   Seventh Grade   Grades 9-12

Subjects
 

Math

Geometry

Time Frame
3 Days (High School 1.5 hour days and Middle School 2 hour days)

Objectives
In this lesson, students will:

• The student will demonstrate geometric relationships of finding area of rectangles and squares.
• The student will apply geometric concept of area to determine the quantity of paint needed to cover the area.
• The student will use concept of finding quantity to determine the cost of paint needed to cover the area.

Materials

Tape measure, calculators, paint containers (varying sizes – pint, quart, gallon, 5-gallon), Ladders (depending on height of walls)

• Teacher will present, explain and demonstrate formulas for calculating area of rectangles and squares.
• Students will work practice problems calculating area of rectangles and squares.
• Teacher will present, explain and demonstrate proper measurement skills which includes proper use of measurement tools, proper reading of measurements, concepts of accuracy and precision.

• Teacher gives any general instructions including safety warnings.
• Students assign responsible person for taking care of materials, one person for recording measurement data, and two data collectors.
• Responsible student from each group receives materials from the teacher.
• Each group measures the length and height of each wall.  Additional measurements must be made for each non-painted surface such as doors, windows, chalk boards,…
• Data is recorded and materials returned to the teacher.
• Students perform calculations to determine total wall area to be painted.
• Students will examine paint containers to determine amount of area it will cover.
• Students will determine the cost of paint depending upon the size of containers used to determine the most economical size to use.

• The student will demonstrate geometric relationships through the use of manipulatives, graphing calculators, computers, and construction tools such as compass, straight edge and protractor
• The student will apply geometric concepts to problems in other fields and disciplines;
• The student will use concepts of length, area, and volume to estimate and solve real- world problems
• The student will apply measurement concepts and relationships in algebraic and geometric problem-solving situations;

For additional relevant information, visit the following Web sites:
Title1: Squares and rectangles
URL1: http://www.webmath.com/geo_square.html
Description1: gives formulas and sample problems.

Title2: Units and conversions
URL2: http://www.mplik.ru:8081/~sg/transl/
Description2: Given one unit of measurement, this site converts measurement to a variety of other units.
 

 Jefferson County Schools

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