Summary
Students will learn how to combine shapes to make other shapes using Geoboards.
Materials
Additional Resources
Books
- Try It With Triangles, by Zelda King; ISBN 0-8239-8873-2
- Circus Shapes, by Stuart J. Murphy; ISBN 978-0064467131
- The Greedy Triangle, by Marilyn Burns; ISBN 978-0590489911
- Goldie Locks and the Three Squares, by Grace Maccarone; ISBN 978-0590543446
- The Shape of Things, by Dayle Ann Dodds; ISBN 978-1564026989
- Circle City, by Dana Meachen Rau; ISBN 978-0516265421
- Twizzlers: Shapes and Patterns, by Jerry Pallotta; ISBN 978-0439340533
Media
Background for Teachers
Students should already be able to recognize and create the four
geometric shapes: circle, square, rectangle, and triangle. They are now
ready to be taught how to combine shapes to make other shapes. (e.g.,
make a square from two triangles). Geoboards can be used to teach
children how to compose and decompose plane figures.
Intended Learning Outcomes
1. Demonstrate a positive learning attitude.
Instructional Procedures
Invitation to Learn
Begin by reading the book Try It With Triangles. Ask them to
name the geometric shapes that they see in the story. Display the
Shape Vocabulary Cards as the students name them from the book.
Instructional Procedures
- Make copies of the Triangles template
- Instruct students to cut out the triangles to make pictures or
designs by combining triangles.
- Glue them on a piece of construction paper.
- Display the pictures in the classroom.
Geo Shapes
- Use an overhead geoboard (if available) to demonstrate how
to manipulate the bands on the board. (It is also helpful to
establish some safety routines so the elastics don't slip and hit
other children.)
- Pass out the Geoboards and geobands. (Provide free exploration
time for students to manipulate the geoboards before using
them in a math lesson the first time.)
- Provide time for the students to practice making the four
geometric shapes on the geoboards (or shape worksheets).
- The students can make rectangles, squares, and triangles on one
side and a circle on the reverse side of the geoboard.
- Ask the students to create a square by combining two equal
triangles using the elastics or geobands. Next, ask them to make
a square by combing two rectangles using the elastics.
- Ask them to make a rectangle by combining two squares.
- Ask them to make a rectangle by combining two triangles.
- Turn the board over to the circle side and ask them to create a
circle.
- Pass out the Geo Shapes worksheet and ask the students to
connect the dots on the arrays to create shapes by combining the shapes they have used on the geoboards.
Wikki Shapes
- Provide Wikki Stix® (or pipe cleaners) for students to use to
create common two-dimensional geometric shapes (e.g., circles,
squares, triangles, and rectangles).
- Provide toothpicks and marshmallows and instruct students
to create three-dimensional shapes (e.g., a rectangular prism, a
cube, or a pyramid).
Shape Sort
- Using the website (see Additional Resources section) download
the shape sort cards to do the pocket chart activity.
- Place the six category cards across the top of the pocket chart.
- Look at each of the pictures for sorting.
- Place them under the correct category card (e.g., ice cream cone
under triangle).
- Using the Shape Sort Book template, create an individual book
for each child to draw and name pictures for each of the four simple geometric shapes.
Extensions
- The National Library of Virtual Manipulatives website provides
students opportunity to create geometric shapes using virtual
geoboards.
- Ask the students to make the following common pattern block
shapes on the geoboard: Rhombus - You can fit two triangles
inside of it. Trapezoid - You can fit three triangles inside of a
trapezoid or one blue rhombus and one triangle. Hexagon - You
can fit six triangles or three blue rhombus or two trapezoids
inside of it.
Family Connections
- Blank copies of the Geo Shapes worksheet can be sent home
for students to share with their families in creating geometric
shapes.
- Provide families with the website URL for the National Library
of Virtual Manipulatives.
- The website address for the Shape Sort can be given to families,
as well.
Assessment Plan
- Using the geoboards or Geo Shapes worksheet you can assess
the students' understanding of naming and creating common
geometric shapes. You can also assess their ability to combine
common geometric shapes to make other shapes.
- Use the Wikki Stix® to assess if the students can name the
shapes they create.
- Using the shape sort you can assess whether students can sort
common geometric figures.
Bibliography
Research Basis
Hellwig, S. J., Monroe, E. E., & Jacobs, J. S., (November 2000) Making Informed Choices:
Selecting Children's Trade Books for Mathematics Instruction. Teaching Children Mathematics. Retrieved November 18, 2006 from www.questia.com.
Trade books allow students to interact with mathematics in
context, helping them draw meaningful connections between
experiences in the classroom and life outside the classroom. They
can provide an appealing setting that shows how mathematics exists
in our world. Trade books can also give students the opportunity to
develop language skills as they develop mathematical skills.
Chapin, S. H., Johnson, A. (2000). Math Matters: Understanding the Math You Teach. p.145-146.
This research suggests that students first learn to identify shapes
and figures only on the basis of appearance. They may not recognize
properties of figures, and orientation affects how they view a figure.
Classroom instruction in the early grades needs to include example
of a variety of each type of shape shown in various orientations.
Created: 06/28/2007
Updated: 02/03/2018
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