Lesson
1
Geometrical Shapes All Around Me
Objective:
Students learn how math relates to building and
design.
Materials
How
a House is Built by Gail Gibbons
Explain
to the students that they will be studying how math relates to building and
design. Each child will earn money
at the end of a session for cooperative behavior and participation and good
performance on class work and homework. This
money will be used to buy building supplies for the future construction of a
clubhouse.
Continue
the lesson by brainstorming why we
have buildings (e.g., shelter, storage, meeting places, school).
Have children discuss different buildings they have visited.
Ask the children what they know about building structure.
Read
How a House is Built by Gail Gibbons.
As you read the story, point out the buildings, and discuss their
purposes. .
After
reading the story, go back through the story and identify different geometric
shapes used in the buildings. Then,
lead a discussion about the importance of geometric shapes in the structure of a
building.
Activity
1
Materials
Home
magazines
Worksheet
1
Pencil
Conduct
a Geometry Treasure Hunt using pictures from various home magazines.
Complete columns A (shape) and B (location of shape) of Worksheet 1.
(This worksheet will be completed in session 2.)
Summary:
Review
the lesson’s objectives and activities for the day.
Distribute
student journals and budget sheets.
Explain
how to fill in the budget sheet.
Give
each student .25 if the session went well.
Resources
Books
Gaughenbaugh,
Michael and Herbert Camburn. 1993.
Old House New House: A
Child’s Exploration of American Architectural Styles.
Washington, DC: The
Preservation Press, National Trust for Historic Preservation.
ISBN 0-89133-236-7
Gibbons,
Gail. 1990. How a House is Built.
New York: Holiday House.
ISBN 0-8234-0841-8
MacDonald,
Fiona. 1994.
Timelines: Houses—Habitats
and Home Life. New York:
Franklin Watts. ISBN
0-531-14333-3
POS
Connections GEO 5
SOL
Connections Math 2.18
2.19
Lesson
2
Structural Support
Objective:
Students learn about the use of shape and structure in building support.
Materials
Up
Goes the Skyscraper! by Gail Gibbons
Read
Up Goes the Skyscraper! Lead
a discussion on how and why
different structures and shapes support parts of buildings.
Activity
2
Materials
Worksheet
1
Pencil
Now
look back at the pictures used in Activity 1.
Complete columns C (purpose of shape) and D (picture of shape in house)
of Worksheet 1.
Portfolio
Discussion
Materials
Large
manila folder with sides stapled
Explain
that a portfolio is a way of saving important activities that are related to a
particular project or unit of study. (Example:
An artist might have his/her special drawings in a special file for
sharing.) Tell the students that
all activity and design sheets will be kept in a portfolio.
These portfolios will be shared at the end of the unit.
Homework
Materials
Journal
Pencil
Go
on Geometric Treasure Hunt around your home and neighborhood.
In your journal, describe the geometric shapes you found on your treasure
hunt.
Summary
Review
the lesson’s objectives and have students add .25 to their budget totals for
good class performance and behavior.
Assessment
Evaluation
of worksheet 1.
Resources
Books
1992.
Eyewitness Visual Dictionaries: The
Visual Dictionary of Buildings. New
York: Dorling Kindersley.
ISBN 1-56458-102-0
Gibbons,
Gail. 1986. Up Goes the Skyscraper!
New York: Four Winds Press,
Macmillan Publishing Company. ISBN
0-02-736780-0Glen, Patricia Brown.
1993. Under Every
Roof: A Kid’s Style and Field
Guide to the Architecture of American Houses.
Washington, DC: The Preservation Press, National Trust for Historic
Preservation. ISBN
0-89133-214-6Wilkinson, Philip. 1995.
Eyewitness Books: Buildings.
New York: Alfred A. Knopf.
ISBN 0-679-87256-6
POS Connections
GEO 6
SOL
Connections Math
2.18
2.19
2.20
Lesson
3
Wacky Furniture Shop (Geometric Furniture Shop)
Objective:
Students learn how area and perimeter relates to design.
Review
journal entries. Reward .25 for
only well done entries.
Using
resource books and magazines lead a discussion with children on the design
elements and furnishings found in houses and other buildings.
Brainstorm with children different pieces of furniture that might be
found in a clubhouse.
Activity
3
Materials
Wacky
Furniture Shop Worksheet
Pencil
“In
thinking about the furniture you want in your clubhouse, you visit the Wacky
Furniture Shop. You see many cool
designs in the store. While in the
store, you notice some very interesting tea and play tables.”
“Look
at the Wacky Furniture Shop Catalogue. Find
the perimeter and area of each table top. The perimeter is the distance around the outer edge of the
shape. The perimeter is important when you want to order a table skirt.
The area is the total number of square units that make up the top of the
table. The area is important to know so that you can cover the table top with
neat looking tiles.”
Homework
Materials
Pattern
blocks
Graph
paper
Pencil
Design
your own table. Now that you have
seen all the cool designs from the Wacky Furniture Shop, you decide to design
your own furniture. Using graph
paper, create a tea or play table for your clubhouse.
Find the perimeter and the area of the table top.
Summary
Review
the lesson and reward class performance with .25 for good class participation
and behavior.
Assessment
Problem
solving furniture sheet is evaluated.
Journal
entries are critiqued.
All
completed work is kept in portfolios for final assessment.
POS
Connections MEA 2
MEA
3
SOL
Connections Math 2.12 , 2.13
Lesson
4
Tile Style Floor-Pattern
Objective:
Students will demonstrate their ability to manipulate
different geometric shapes in the creation of floor tiles.
Review
homework and reward .25 for good work.
Materials
The
Wonderful Towers of Watts by Patricia Zelver
To
introduce geometric patterns, read The Wonderful Towers of Watts.
Lead a discussion of how designers use tiles to enhance structure and
beauty.
Activity
4
Materials
Pattern
blocks
Graph
paper
Pencil
Crayons,
colored pencils, markers
Now
that we have some wacky furniture, let’s see what we can do to design our
clubhouse floor. At least one floor
in your clubhouse will be made of various tiles in a design of your choice.
The size of the floor is 12 x 12. Using
pattern blocks, design a tile floor for your clubhouse.
Be sure to use different colored tiles of various shapes and sizes. Copy your tile floor onto graph paper. Color.
Homework
Finish
tile design at home if not completed.
Summary
Review
the unit thus far and reward .25 for good class performance and behavior.
Assesment
Teacher
grades table design homework for correct perimeter, area and graphic dimensions.
All
completed work is kept in student portfolio.
Resources
Books
Wilkinson,
Philip. 1995. Eyewitness Books: Buildings.
New York: Alfred A. Knopf. ISBN 0-679-87256-6
Zelver,
Patricia. 1994.
The Wonderful Towers of Watts.
New York: Tambourine Books.
ISBN 0-688-12649-9
POS
Connections PFP 3
SOL
Connections Math 2.25
Lesson
5
Drawing Proportionate Figures
Objective:
Students will demonstrate congruency, similarity, and symmetry
and apply these concepts to the solution of geometric problems.
Learning
to draw pictures of proportionate figures is critical to good floor plan design.
In this lesson, students will learn to draw a figure to proportion using
graph paper.
Activity
5
Materials
Inch
Graph paper
Lined
paper
Pencil
Today
you will be drawing a figure on graph paper.
Use any geometric shape you wish. There
is only one rule - all lines making up the shape must be straight.
First, divide the paper in half. On
the left side of the paper, draw your figure (a small house or other figure) so
that it fits in a six inch square. Do
not make your shape too simple or too complicated.
After you finish drawing your figure, exchange your paper with a partner.
Your partner will re-draw your figure on the right side of the paper.
When re-drawing the figure, it must be larger and exactly proportionate.
For example, each box in the original drawing may represent 2 or 3 boxes
in the re-drawn figure.
After
you are finished, write two story problems related to your original drawing.
Switch your paper with your partner and solve the problems. Remember that
both names need to appear on the paper.
Homework
Finish
word problems in journal for homework if time runs out.
Summary
Review
the day’s lesson and reward .25 for good performance and behavior.
Assessment
Teacher
grades story problems for quality and accuracy.
POS
Connections PSA 1
PSA 3
GEO 1
GEO 4
SOL
Connections Math 2.13
Lesson
6
Futuristic Conference Room
Objective:
Students will demonstrate and apply concepts of
measurement using non-standard and standard units of measure.
They will estimate and verify measurements.
They will apply measurement to interdisciplinary and real-world problem
solving situations.
As
an introduction to floor plan design, students will create a floor plan from an
existing room in this lesson. If
possible, arrange for students to visit the principal’s or assistant
principal’s office to measure the office, measure the furniture, and determine
placement of the furniture on the floor plan.
If this is not possible, arrange for children to visit a conference room
or other room to draw a floor plan.
Activity
6
Materials
Graph
paper
Notebook
Pencil
Your
principal and assistant principal need someone to draw a floor plan for an
office or conference room in the school so they can plan for the redesign of the
room. You will use your notebook to
measure the floor and furniture in the room. First, measure the length by using
the length (long side) of a regular piece of notebook paper.
One length of the notebook will equal one block on your graph paper.
Draw the length and width of the floor on the graph paper to begin your
floor plan. Next, measure the
furniture in the room or office and draw it on your floor plan.
Be sure furniture is placed in the correct position on the floor plan in
order to draw the room to scale so that you can share with the class tomorrow.
Be
ready to discuss this question:
What
did you encounter in scaling the measurement of the room?
Homework
Materials
Art
paper
Pencil
Crayons,
colored pencils, markers
Using
your floor plan as a guide, design what you think a futuristic office or
conference room should look like. Use
art paper and color your design.
Summary
Review
the unit and reward money as appropriate.
Assessment
Evaluate
correct standard and non-standard units of measure used in floor plan.
POS
Connections
MEA 1
MEA 3
SOL
Connections
Lesson
7
The Clubhouse—Inspirational Drawing
Objective:
Students will apply knowledge of geometric
relationships and structural design to real-world problem solving situations.
Review
futuristic floor plan and reward as appropriate.
Children
will draw their clubhouse during this lesson.
Though you should encourage creativity, be sure children use structural
design elements as a guide.
Activity
7
Materials
Drawing
paper
Crayons,
colored pencils, markers
Using
art paper, draw your ideal clubhouse. Fold
your art paper so that you can draw the inside and the outside of your
clubhouse.
Homework
Materials
Journal
Pencil
Realizing
that you can’t have everything in your clubhouse, create a wish list for your
clubhouse in your journal.
Summary
Review
the day’s objectives and reward money as appropriate.
Assesment
Assess
creative design used in futuristic office design.
Resources
Books
Weiss,
Harvey. 1979. Model Buildings and How to Make Them.
New York: Thomas Y. Crowell.
(ISBN 0-690-01341-8)
Wood,
Tim. 1995. See Through History:
Houses and Homes. New
York: Viking, Penguin Putnam, Inc.
ISBN 0-670-86777-2
POS
Connections GEO 3
GEO 6
SOL
Connections
Lesson
8
The Clubhouse—Floor Plan Research
Objective: Students will apply measurement to interdisciplinary and real
world problem solving situations.
Review
journal wish list and reward as appropriate.
During
this lesson, children will look at floor plans and begin to draw the floor plan
for their clubhouse.
Activity
8
Materials
Floor
plans from home magazines
Graph
paper
Pencil
Today
you will look through magazines and floor plans. Think about how you want to use your clubhouse.
Remember the drawing of your clubhouse that you made in the last lesson?
Using graph paper, begin the blueprint of your clubhouse.
Homework
Finish
the blueprint for your clubhouse.
Summary
Review
the unit thus far and reward money as appropriate.
Resources
Books
Gaughenbaugh,
Michael and Herbert Camburn. 1993.
Old House New House: A
Child’s Exploration of American Architectural Styles.
Washington, DC: The
Preservation Press, National Trust for Historic Preservation.
ISBN 0-89133-236-7
POS
Connections MEA 1
MEA 3
GEO 3
GEO 6
SOL
Connections
Lesson
9
The Clubhouse Design
Objective:
Students will demonstrate understanding of geometric
shapes and measurement in the creation of a detachable roof.
Children
will discuss the floor plan and plan a detachable roof for their clubhouse
during this lesson.
Activity
9
Materials
Graph
paper
Journal
Pencil
You’ve
spent time planning and drawing your clubhouse. Today you will draw a plan for a detachable roof for your
clubhouse. Remember that you
designed a tile floor and table for your clubhouse. By having a detachable roof,
you will be able to decorate the inside of your clubhouse. In the next part of the unit you will have the opportunity to
build and decorate a model of your
clubhouse. In the meantime you will
getting your portfolio organized to share with your group during the next
lesson.
Homework
In
your journal write about the math you used to design your clubhouse.
Summary
Review
today’s lesson and plans for their detachable roof. Reward as appropriate.
POS
Connections MEA 3
PSA 8
SOL
Connections
Lesson
10
Portfolio Showcase
Objective:
Students will demonstrate their knowledge of
geometry, measurement, and problem solving.
Review
journal entries. Reward as
appropriate.
To
complete this performance task, children will present their clubhouse
portfolios. Each student will have
the opportunity to present their floor plan, table, tile floor, and detachable
roof drawing.
Activity
10
Materials
Journal
Pencil
Pretend
you are a reporter for Architectural Digest.
Pick two of your classmates’ designs and portfolios.
Write a review article about the design and be sure to include at least
three positive comments.
Summary:
Share
reviews.
Assessment:
Evaluate
portfolio, blueprints, and journal entries.
POS
Connections PSA 4
PSA 9
GEO 2
GEO 5
GEO 6
SOL
Connections
Resources for Performance Task 1
Books
1992.
Eyewitness Visual Dictionaries: The
Visual Dictionary of Buildings. New
York: Dorling Kindersley.
ISBN 1-56458-102-0
Gaughenbaugh,
Michael and Herbert Camburn. 1993.
Old House New House: A
Child’s Exploration of American Architectural Styles.
Washington, DC: The
Preservation Press, National Trust for Historic Preservation.
ISBN 0-89133-236-7
Gibbons,
Gail. 1990. How a House is Built.
New York: Holiday House.
ISBN 0-8234-0841-8
Gibbons,
Gail. 1986. Up Goes the Skyscraper!
New York: Four Winds Press,
Macmillan Publishing Company. ISBN
0-02-736780-0
Glen,
Patricia Brown.
1993. Under Every
Roof: A Kid’s Style and Field
Guide to the Architecture of American Houses.
Washington, DC: The Preservation Press, National Trust for Historic
Preservation. ISBN 0-89133-214-6
MacDonald,
Fiona. 1994.
Timelines: Houses—Habitats
and Home Life. New York:
Franklin Watts. ISBN
0-531-14333-3
Wilkinson,
Philip. 1995. Eyewitness Books: Buildings.
New York: Alfred A. Knopf. ISBN 0-679-87256-6
Wood,
Tim. 1995. See Through History:
Houses and Homes. New
York: Viking, Penguin Putnam, Inc.
ISBN 0-670-86777-2
Zelver,
Patricia. 1994.
The Wonderful Towers of Watts.
New York: Tambourine Books.
ISBN 0-688-12649-9