Students will design and create patterns from grid paper to make boxes or cubes.
Main Curriculum Tie:
Mathematics Grade 2
Reason with shapes and their attributes. 1.
Recognize and draw shapes having specified attributes, such as a given number of angles or a given number of equal faces.4 Identify triangles, quadrilaterals, pentagons, hexagons, and cubes.
- Tiles or squares from
- Dot Grid (pdf)
- 1” cube
- 1” Grid (pdf)
Background For Teachers:
Cube—a space figure that has six squares and no other faces
Edge—a segment where two faces are joined together
Face—one of the plane figures making up a space figure
Vertex (Pl: vertices)—the common point where three or more edges
Intended Learning Outcomes:
1. Demonstrate a positive learning attitude toward mathematics
2. Become mathematical problems solvers.
3. Reason mathematically.
4. Communicate mathematically.
Invitation to Learn
Today you are going to be mechanical engineers designing boxes to
fit the cube exactly. You will work with a partner, your task is to find as
many ways as possible to make patterns for boxes. The team that finds
the most patterns wins the contract (prize).
Pass out tiles and Dot Grid and discover the various
patterns for omino, domino, triomino, tetraomino, pentomino, and
hexomino shapes. Discuss repeats of slides, turns, or flips do not count
as different shapes. Each segment must touch a complete segment of an
- Find patterns for boxes that will fit one cube. Each pattern must
follow three rules:
- It must be made from a single piece of paper
- It can be folded only along the edges of the squares
- No sides can overlap
Hint: If your pattern doesn’t work, how can you change it to
make it work?
- When you find one that works, draw it on 1” Grid and
cut it out in one piece.
- Allow students to discuss the strategies they used to devise their
- Have the students show their patterns on an overhead or on the
- For each pattern posted, ask if the class agrees that it works.
When there is disagreement, students should justify their beliefs.
- Sometimes students will post duplicate patterns. Discuss which
patterns are flips or turns.
Repeat the activity for creating nets to build a triangular prism or
boxes to fit two cubes.
- Find a box at home. Draw a net that you think will fit the box
exactly. Cut it out and try it. Did it work? If not, what could
you change to make it work? Try it.
- If possible, cut the box on the edges so that it opens flat to create
a net. Is it different than the net you created?
- Were the students able to create at least one net?
- Provide examples and non-examples of nets for cubes. Can the
students identify the correct choices?
- Use Family Connections as an assignment.
Created Date :
Oct 14 2004 11:55 AM