Lesson Plan 4
APPLYING EQUATIONS: AREA FORMULAS
Title: Geometry/Applying Equations: Area Formulas
Grade Level: 6-8
Subject: Math and Science
Learner Outcomes: After completion of this lesson the students will be able to use formulas to find areas and missing dimensions of triangles and quadrilaterals.
Duration of Lesson: One fifty minute class session.
Materials: Textbook, paper, pencil, geometry notebook, dry erase markers, as well as approximately 24 computers in a computer lab setting with access to the internet on at least 12 of the computers.
Technology Tools/Courseware: The students will be using the computer to gain access to the internet therefore prior knowledge of the use of computer/lab is recommended. Some basic skills needed would be work processing and internet searches, etc.
Teacher Notes:
* Technology coordinator/director of the school needs
to have provided a list of the students that do and do not have written
permission to use or have access to the internet.
* Aides for the special needs/disabled students need
to be available if needed.
Purpose/Introduction: The
students will learn basic geometric terms and concepts as stated by the
instructional goals and objectives 6.31 (draw, compare, and contrast the
following quadrilaterals: parallelogram, rectangle, square, rhombus,
and trapezoid along with the following polygons: pentagon, hexagon,
octagon, decagon, and dodecagon), 6.32 (classify and compare line segments,
angles, and polygons), and 6.41 (measure real objects in order to
develop the formulas for perimeter and area; determine the perimeter and
area of a triangle, square, rectangle, parallelogram, and irregular figures
given the appropriate measures), that will assist them in composing a geometry
notebook that will be used throughout the middle school years. The
students will search internet sites both in the computer lab and at home
that will assist them in developing this notebook.
Procedures:
(1) The students will first learn the importance and need in completing
a geometry notebook. (2) The students may work in pairs or alone
to research the formulas for finding the areas of polygons. Some
great sites for formulas and figures are The
Math Forum and Mathematics
TEKS Toolkit. One other favorite site is Geometry.
These formulas will also become part of their binders. (3) Volunteers
will go to the chalkboard to draw examples of rectangles, parallelograms,
triangles, and trapezoids and label the length, width and bases of each
figure. Indicate to students the height of each figure and label
its height. (4) Now that the polygons have been drawn -- ask the
question: How can you use the lengths, widths, bases, and heights to find
the areas of these figures? Their response should be -- Use formulas.
For practice solve the problems on the board. (5) Have the students
compare formulas -- rectangles and parallelograms have similar formulas:
Multiply one dimension by another -- triangles and trapezoids have similar
formulas except that trapezoids have both bases reflected in the formula.
(6) Assign sample problems for practice page 108 and 109 Math In Action.
Modifications: Some
modifications to this class session may need to be made. For those
students not permitted to use the internet books and other resources will
be available for those students to complete their assignment/notebook.
Peer helpers/buddies will be assigned to those special needs students.
University interns, participants, and tutors will be made available to
assist in computer labs.
Enrichment Activities: Working
with a partner, each student will demonstrate their mastery of measurement
by physically measuring specified polygons within the classroom and recording
their results for area both in standard and metric measurement.
Evaluation/Assessment: The students will be evaluated and assessed based on effort and completeness. The students should all meet satisfactory marks based on the fact they will be guided through the lessons as well as having books and other resources made available to them besides the computer. The students may be given a short quiz on finding the area of specified polygons.
State and National Standards:WVIGO's-
Grade 6 (6.31, 6.32, 6.41, 6.19, 6.72)
Grade 7 (7.34, 7.39, 7.5, 7.15)
Grade 8 (8.35, 8.16, 8.19)
National
Standards
Job/Career Clusters: Civil Engineer, Engineer, Architect, Construction Worker, Painter, Brick Layer, Carpet Layer, Interior Designer, etc.
References:
--http://www.tenet.edu/teks/math/resources/con2man.html
- Mathematics TEKS Toolkit
--http://forum.swarthmore.edu/-
The Math Forum
--http://www.Mathleague.com/help/geometry/geometry/htm.
- Geometry
--http://www.forum.swarthmore.edu/trscavo/geoboards/intro3.html
- Tom Scavo's Math Forum
Power Point Presentation on Geometry
Lesson One: Identifying Polygons
Lesson Two: Geoboard Activities
Lesson Five: Geoplane Activity
Authors:
Tracy Gould
Bridgeport Middle School
tgould@access.k12.wv.us
Rita Robbins
Bridgeport Middle School
rerobb@aol.com
Linda Burns
Bridgeport Middle School
lburns@access.k12.wv.us
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