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Chapter 1 Concept Map

Run the Concept Map Fullscreen

About This MicroSim

This interactive concept map visualizes all 19 key concepts from Chapter 1 - Foundations of Geometry. The map shows how concepts are related and organized into categories.

How to Use

  • Hover over any concept to see its definition
  • Drag nodes to rearrange the layout
  • Zoom using scroll wheel or pinch gestures
  • Click and drag the background to pan

Concept Categories

Color Category Concepts
Dark Blue Hub Foundations of Geometry
Red Undefined Terms Point, Line, Plane
Blue Basic Objects Ray, Segment, Angle, Vertex, Midpoint, Intersection
Green Relationships Collinear, Coplanar, Parallel, Perpendicular, Skew
Orange Reasoning Inductive, Deductive, Conjecture, Counterexample

Learning Objectives

After exploring this concept map, students will be able to:

  • Remember key definitions and terms from Chapter 1
  • Understand how concepts relate to each other
  • Evaluate their own understanding of the material
  • Identify gaps in their knowledge

Bloom's Taxonomy Level

  • Remembering - Recalling key definitions
  • Evaluating - Assessing understanding of concept relationships

Iframe Embed Code

<iframe src="https://dmccreary.github.io/geometry-course/sims/chapter-01-concept-map/main.html"
        height="700px"
        width="100%"
        scrolling="no"></iframe>

Lesson Plan

Grade Level

9-12 (High School Geometry)

Duration

10-15 minutes

Prerequisites

  • Completion of Chapter 1 reading

Activities

  1. Self-Assessment (5 min): Students hover over each concept and mentally test whether they can define it before seeing the tooltip.

  2. Connection Tracing (5 min): Students follow the edges to understand how concepts build upon each other.

  3. Missing Link Game (5 min): Cover the concept map and ask students to recreate the connections on paper.

Assessment

  • Can students explain why concepts are connected?
  • Can students identify which category each concept belongs to?
  • Can students trace the path from undefined terms to complex relationships?

References

  1. Concept Maps in Mathematics Education - NCTM - Using visual organizers in math
  2. Knowledge Graphs for Learning - Khan Academy - Structured learning approaches