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Number Systems Hierarchy Diagram

Goal:

So Far:

Run the Number Systems Hierarchy Diagram MicroSim Fullscreen Edit 

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<iframe src="https://dmccreary.github.io/algebra-1/sims/number-system-venn/main.html" height="402px" scrolling="no"></iframe>

Overview

This skill creates an educational Venn-style diagram that shows the hierarchical relationship among different number systems: Natural Numbers (N), Whole Numbers (W), Integers (Z), Rational Numbers (Q), and Real Numbers (R).
It also highlights Irrational Numbers (I) as a distinct region within the real numbers but outside the rationals.

When to Use

Use this diagram in middle or high school mathematics lessons to help students: - Understand the inclusion relationships between number sets
- Recognize examples of each type of number
- Visually distinguish rational vs. irrational numbers

Workflow

  1. Data Definition: Define each set as a concentric region in the Venn data.
  2. Color Scheme: Apply pastel colors (yellow → green → blue → purple → gray) with orange for irrational numbers.
  3. Labels: Display set names and mathematical symbols (N, W, Z, Q, R, I).
  4. Tooltips: On hover, show concise definitions and examples.
  5. Responsive Layout: The diagram scales gracefully with the container size.

Resources