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Number Systems Hierarchy Diagram

Run the Number Systems Hierarchy Diagram MicroSim Fullscreen

About This MicroSim

Visual nested Venn diagram illustrating the relationships between natural numbers, whole numbers, integers, rational numbers, and real numbers. This interactive learning tool provides direct visual feedback, enabling students to explore algebraic structures dynamically.

Iframe Embed Code

Copy this iframe to your website:

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<iframe src="https://dmccreary.github.io/algebra-1/sims/number-system-venn/main.html"
        height="802px" width="100%" scrolling="no"></iframe>

Lesson Plan

Learning Objective

Classify numbers into standard nested mathematical sets: Natural (N), Whole (W), Integer (Z), Rational (Q), and Real (R).

Audience and Prerequisites

Designed for Algebra I students in grade 9. Students should have arithmetic fluency and introductory familiarity with algebraic notation.

Suggested Activity

  1. Ask students to make a prediction before interacting with controls or moving parameters.
  2. Examine various numbers (e.g. -5, 0, 3/4, sqrt(2)) and identify the most specific subset containing each number.
  3. Compare the visual model directly with the symbolic algebraic expression.
  4. Have students summarize their observations in a single sentence.

Assessment

Students place a collection of test numbers into their proper regions in the nested number system diagram.

References

  1. Related Algebra I Chapter - Course explanation and background context.
  2. Custom / Canvas Reference - Official library documentation.