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Chapter 1 Concept Map

Run the Concept Map Fullscreen

About This MicroSim

This interactive concept map visualizes all 18 key concepts from Chapter 1 -- Foundations of Geometry. The map uses a hub-and-spoke layout to show how concepts are organized into four categories and how they depend on each other.

How to Use

  • Click any concept node to see its full definition, examples, and related concepts
  • Hover over a concept to see a short definition tooltip and enlarge the node
  • Drag nodes to rearrange the layout
  • Zoom using the scroll wheel or pinch gestures
  • Filter using the colored buttons to focus on a specific category
  • Click background to deselect and reset the view

Concept Categories

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

Learning Objectives

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

  • Remember key definitions and terms from Chapter 1
  • Understand how foundational concepts relate to each other
  • Evaluate their own understanding of the material by tracing concept dependencies

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/ch1-concept-map/main.html"
        height="750px"
        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): Click each concept and test whether you can define it before reading the definition panel.

  2. Connection Tracing (5 min): Follow the edges to understand how concepts build on each other. Notice how everything traces back to the three undefined terms.

  3. Category Filtering (5 min): Use the colored buttons to focus on one category at a time and explain why concepts are grouped together.

Assessment

  • Can students explain why concepts are connected by specific edges?
  • 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
  2. vis-network Documentation - vis.js