Parallel and Perpendicular Lines- Choice Board Activities
What Are Choice Boards and Why Use Them for Geometry?
Choice boards are grid-based activity menus where students pick tasks to complete. Teachers have used them for years because they actually work. Students get ownership over their learning, and you get a break from watching them stare at worksheets.
For parallel and perpendicular lines, choice boards let students interact with slope, angles, and real-world applications instead of just memorizing definitions. That's the whole point.
The Activities That Actually Engage Students
Visual and Artistic Options
Create a City Map: Students design a section of a city where streets are parallel and perpendicular. They label streets, identify angle measurements at intersections, and explain why certain roads meet at right angles. This works because it connects geometry to something they recognize.
Slope Art Project: Draw a design using only parallel and perpendicular lines. Students calculate the slope of each line segment and explain their choices. The creative constraint forces them to think about slope in a different way.
Diagram Annotation: Given a diagram with intersecting lines, students identify all parallel and perpendicular pairs, measure angles, and justify their answers with slope calculations.
Real-World Connection Activities
Photography Scavenger Hunt: Students photograph real examples of parallel and perpendicular lines in their environment—railroad tracks, building edges, sports court lines. They bring photos to class and explain the geometry they found.
Architecture Analysis: Pick a famous building and analyze its use of parallel and perpendicular lines. Students research the design and present how the architect used these geometric principles. Frank Lloyd Wright's work works well for this.
Technology-Based Options
GeoGebra Construction: Students use GeoGebra to construct parallel and perpendicular lines through a given point. They screenshot their steps and explain the geometric reasoning behind each construction.
Video Explanation: Record a 2-3 minute video teaching someone how to identify parallel and perpendicular lines from equations. Students must explain slope relationships clearly enough for someone unfamiliar with the concept to understand.
Writing and Explanation Tasks
Error Analysis: Students examine worked examples with mistakes and identify where the student went wrong. They explain the correct approach and write a tip for avoiding that error.
Comparison Paragraph: Write a paragraph explaining the difference between parallel and perpendicular lines, including how to identify each type from equations and graphs. No diagrams allowed—they have to use words.
Sample Choice Board Layout
| Activity Type | Easy Option | Medium Option | Hard Option |
|---|---|---|---|
| Creative | Draw 5 parallel line pairs | Create a pattern using only parallel/perpendicular lines | Design a floor plan with 10+ line relationships |
| Analytical | Identify 5 parallel pairs in a diagram | Find all parallel and perpendicular lines in a complex figure | Prove why two lines are parallel using slope |
| Real-World | List 5 parallel examples from your home | Photograph and label 8 geometric relationships | Research and present on geometric design in engineering |
| Tech-Based | Use ruler tool to draw parallel lines | Construct perpendicular bisector in GeoGebra | Create interactive slope demonstration |
How to Set This Up Without Losing Your Mind
You need a 3x3 or 4x3 grid. Each square gets one activity. Students pick a certain number to complete—usually 3-5 depending on your timeline.
Here's what works:
- Include activities at different difficulty levels
- Mix creative, analytical, and tech-based options
- Give clear rubrics upfront so students know what you expect
- Set deadlines for each activity, not just the final one
- Allow students to negotiate activities if they have a better idea
Common Problems and How to Handle Them
Students pick the same easy activities every time. This is normal. Put a rule that they can't repeat difficulty levels, or require at least one challenge-level activity.
Quality drops when students work independently. Build in checkpoints. Have students submit drafts or explain their reasoning before they finalize anything.
Some students finish everything in one class period. Have extension activities ready. Don't let fast workers sit idle—require them to explain their solutions to classmates or tackle the hardest option.
Others don't finish anything. Start with mandatory activities until you know who can handle choice. Some students need structure before they can handle autonomy.
Assessment Doesn't Have to Be Complicated
Create a simple rubric with three categories: mathematical accuracy, explanation quality, and completion of requirements. That's it. Four-point scale works fine.
Grade one or two activities thoroughly. Spot-check the rest. You don't have time to give detailed feedback on every single creative city map, and honestly, students don't read it anyway.
Making It Fit Your Classroom
Choice boards work for any grade level teaching parallel and perpendicular lines. Adjust expectations based on what your students can handle. Elementary students might focus on identifying and drawing. High schoolers should be calculating slopes and writing proofs.
The format stays the same. The content changes. That's the whole trick.