Practice Concept Networks in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The web of relationships between mathematical concepts, where each node is an idea and edges represent logical dependence, analogy, or application.

Math concepts don't exist in isolationβ€”they're all connected.

Example 1

easy
Draw (describe) the concept network connecting: set, subset, union, intersection, complement, and De Morgan's laws.

Example 2

medium
Identify three connections between set theory and logic in the concept network. For each, give the corresponding pair of concepts.

Example 3

easy
Name three concepts that are directly connected to 'mathematical induction' in the concept network and explain each connection.

Example 4

medium
Contrapositive, conditional, and proof by contradiction are three connected concepts. Describe the network: how does each relate to the others?