Math Grade 1: Unit 5 for APS
Understanding Shapes and Fractions
“I Can” Help My Student!
• I can tell about shapes. (1.G.1)
• I can build and draw shapes (1.G.1)
• I can“ make two- and three- dimensional
shapes (1.G.2)
• I can divide shapes into parts (1.G.3)
Words to Know
Attribute: A characteristic of an object, such as color,
shape, size, etc.
Circle: A figure with no sides and no vertices.
Closed Shape: A figure with all the sides connected.
Cone: A geometric solid with a circular base and curved
surface that meets at a point.
Cube: A solid figure with six square faces.
Cylinder: A geometric solid with 2 circular bases and a
curved surface.
Rectangle: A plane figure with 4 sides and 4 square
vertices.
Rectangular Prism: A rectangular 3-dimensional shape.
Sphere: A geometric solid with a curved surface.
Square: A figure with 4 sides that are the same length and
4 right angles.
Trapezoid: A 4-sided 2-dimensional shape that has exactly
one pair of parallel sides.
Triangle: A figure with 3 straight sides and 3 vertices.
Important Understandings and Concepts
What should my student already know before I begin…..
• Identify shapes as two or three-dimensional
• Able to draw, name, count the sides, and characterize the rectangle, circles,
triangles,
Learning at a Glance
This unit integrates geometry learning into three parts 1) Geometric shapes identifies the shapes and categorizing based on their properties, 2) composing and
decomposing geometric shapes, and 3) Spatial Structuring - dividing circles and
rectangles into halves and fourths.
Geometric shapes – Students will identify and draw the same shapes and objects
learned in kindergarten, but will draw the shapes based on specific defining attributes
(closed and three-sided) versus non-defining attributes (color, orientation, overall
size).
Composing and Decomposing Shapes – Similar to Kindergarten, students will
compose two- and three- dimensional shapes from smaller to larger two- and threedimensional shapes. Initially, they lack competence in composing geometric shapes.
As they combine shapes, they should recognize them from different perspectives and
orientations, describe their attributes, and how they are alike and different. They
decompose shapes by covering the total with a part. These experiences develop
understandings in symmetry for Grade 4 and congruence for Grade 8.
Spatial Structuring – Students will be expected to cut or draw lines to divide circles
and rectangles into halves and fourths and communicate the size of those piece using
appropriate fraction terminology. This is a foundational building for fractions which
will be extended into future grades. They should know the idea of a whole is
composed of two halves, or four fourths or four quarters.
Revised 03-18-14
Math Grade 1: Unit 5 for APS
Understanding Shapes and Fractions
How Can You Help Your Student?
Make a Pizza
(Materials: paper circles, scissors, pencils and crayons)
1. Fold and cut your paper pizza into two equal slices
(halves).
2. Use pencils or crayons to draw a different topping on
each slice of your pizza.
3. If you cut the pizza into four equal slices (quarters),
would the pieces be the same size, smaller, or larger than
the two slices? Explain your thinking.
Sample Problem and other Resources
Geometric Shapes
Defining Attributes – All triangles must
be closed figures and have 3 sides
Non-defining Attributes – triangles can
be different colors , sizes, and turned in
different directions
Composing Shapes
Show the different shapes that you can
make joining a triangle with a square.
Spatial Structuring How can you and a
friend share equally (partition) this piece
of paper so that you both have the same
amount to color?
Student response:
Playing games is a wonderful way to practice skills at home in a fun
environment. Stack-n-Pack books contain several math games
covering math concepts from Kindergarten through High School.
Stack-n-Pack card games may be checked out from your school
(contact your school’s Parent Liaison) or purchased online: Stack-nPack Mathematics Card Games for K-HS .
Games:
Recommended Children’s Literature
The use of children’s literature is equally important as problems and deserves attention. Use
these books to enhance both language literacy and mathematical literacy for an
interdisciplinary connection during story time. These books can be checked out at your local
Atlanta-Fulton Public Library System www.afplweb.com
Geometric Shapes
Polygon Classification
Give Me Half by Stuart Murphy, Eating Fractions by Bruce McMillian, Picture Pie by
Ed Emberley
Revised 03-18-14
Revised 03-18-14