Geometry and Spatial Sense
- Identify and describe the locations and movements of shapes and objects.
- Students should have previous experience with Hole-Punch Symmetry (Lesson found in Taking Shape: Activities to Develop Geometric and Spatial Thinking p. 94 “Hole-Punch Symmetry Challenge”).
- Students are sitting at desks or on a carpet facing the interactive whiteboard/projector.
- Interactive whiteboard or projector
- Hole-Punch Symmetry slides (download)
- Hole punch and square papers used for checking predictions
- Hold a square piece of paper and clearly show children that you are folding it in half along the vertical midline with the fold at the left.
- With the paper held in front of you, punch a hole in the middle of the side without the fold.
- Show children the Hole-Punch Symmetry page 1 of the Hole-Punch Symmetry slides.
- Explain to students that the bold line indicates the fold.
- Challenge students to visualize what the piece of paper will look like when unfolded.
- Present 4 possible options of what the square would look like unfolded.
- Invite children to select the best option.
- Unfold the piece of paper to confirm students’ predictions.
- Continue with next challenges which increase in complexity, both in terms of where the folds are in the paper (vertical, horizontal, or diagonal), and with increasing numbers of folds and/or holes.
- How does the child describe the location of the holes?
- Does the child use spatial language (over, under, top, bottom, right, left)?
- Is the child able to consistently and accurately identify where the holes will be when the paper is opened?
- The teacher can reverse the challenge by showing children the open hole-punched square paper.
- Ask: If I could only make one hole-punch, how many times would this paper need to be folded to result in this design?
- Children can create their own hole-punch symmetry challenges and challenge other classmates to solve it.