Discrete Mathematics · Computational Methods
Virginia SOL DM.CM.3
Virginia SOL DM.CM.3 is part of the Computational Methods strand in Discrete Mathematics (Math). Under this Standards of Learning objective, students identify and apply cryptographic methods. Below is what DM.CM.3 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice DM.CM.3 for the Virginia SOL test.
What SOL DM.CM.3 means
Identify and apply cryptographic methods.
Skills you’ll practice for DM.CM.3
- Compare and contrast ciphers and codes.
- Describe the evolution of cipher systems.
- Identify the Fundamental Theorem of Arithmetic.
- Describe how the complexity of prime factorization is used in cryptography.
- Describe modular arithmetic in context (e.g., clocks, days of the week, measures of time).
- Analyze the relationship between divisibility and modulus.
- Determine congruence within modular arithmetic.
- Perform operations within modular arithmetic.
- Apply modular arithmetic to problems in context (e.g., cryptography, ISBN, IBAN).
Key concepts covered by DM.CM.3
- ciphers
- codes
- cryptography
- cipher evolution
- cryptographic history
- Fundamental Theorem of Arithmetic
- prime factorization
- number theory
- cryptographic complexity
- RSA encryption
- modular arithmetic
- clock arithmetic
- time calculations
- divisibility
- congruence
- equivalence classes
- modular operations
- addition
- subtraction
- multiplication
- division
- modular arithmetic applications
- ISBN
- IBAN
How to study and practice SOL DM.CM.3
Start with a quick diagnostic to see whether DM.CM.3 is already solid, then work each skill above with guided notes, flashcards, and SOL-style practice questions. For official released items, see our Virginia SOL practice tests guide and how to study for the SOL test.
Related Discrete Mathematics standards in Computational Methods
Frequently asked questions about SOL DM.CM.3
What is Virginia SOL DM.CM.3?
SOL DM.CM.3 is a Discrete Mathematics Standard of Learning in the Computational Methods strand. It expects students to identify and apply cryptographic methods.
What skills does SOL DM.CM.3 cover?
SOL DM.CM.3 is assessed on 9 skills: compare and contrast ciphers and codes; describe the evolution of cipher systems; identify the Fundamental Theorem of Arithmetic; describe how the complexity of prime factorization is used in cryptography; describe modular arithmetic in context (e.g., clocks, days of the week, measures of time); analyze the relationship between divisibility and modulus; determine congruence within modular arithmetic; perform operations within modular arithmetic; apply modular arithmetic to problems in context (e.g., cryptography, ISBN, IBAN).
What strand of Discrete Mathematics is SOL DM.CM.3 in?
SOL DM.CM.3 belongs to the Computational Methods reporting strand of the Discrete Mathematics Virginia Standards of Learning.
How do I study and practice for SOL DM.CM.3?
Start with a diagnostic to see whether DM.CM.3 is already solid, then work the 9 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.