Discrete Mathematics · Logical Reasoning
Virginia SOL DM.LR.2
Virginia SOL DM.LR.2 is part of the Logical Reasoning strand in Discrete Mathematics (Math). Under this Standards of Learning objective, students apply logic and proof techniques to construct sound arguments. Below is what DM.LR.2 covers in plain language, the specific skills it is assessed on, the key concepts to review, and how to practice DM.LR.2 for the Virginia SOL test.
What SOL DM.LR.2 means
Apply logic and proof techniques to construct sound arguments.
Skills you’ll practice for DM.LR.2
- Apply informal logical reasoning to contextual problems (e.g., software behavior, puzzles).
- Outline the basic structure of proof techniques (direct proof, proof by contradiction, induction).
- Deduce the best type of proof for a given problem.
- Use rules of inference to construct direct proofs and proofs by contradiction.
- Construct induction proofs involving summations and inequalities.
- Use a truth table to prove the logical equivalence of statements.
Key concepts covered by DM.LR.2
- informal logic
- contextual reasoning
- problem-solving
- proof techniques
- direct proof
- proof by contradiction
- mathematical induction
- proof selection
- logical deduction
- rules of inference
- direct proofs
- induction proofs
- summations
- inequalities
- truth tables
- logical equivalence
- statement equivalence
How to study and practice SOL DM.LR.2
Start with a quick diagnostic to see whether DM.LR.2 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 Logical Reasoning
Frequently asked questions about SOL DM.LR.2
What is Virginia SOL DM.LR.2?
SOL DM.LR.2 is a Discrete Mathematics Standard of Learning in the Logical Reasoning strand. It expects students to apply logic and proof techniques to construct sound arguments.
What skills does SOL DM.LR.2 cover?
SOL DM.LR.2 is assessed on 6 skills: apply informal logical reasoning to contextual problems (e.g., software behavior, puzzles); outline the basic structure of proof techniques (direct proof, proof by contradiction, induction); deduce the best type of proof for a given problem; use rules of inference to construct direct proofs and proofs by contradiction; construct induction proofs involving summations and inequalities; use a truth table to prove the logical equivalence of statements.
What strand of Discrete Mathematics is SOL DM.LR.2 in?
SOL DM.LR.2 belongs to the Logical Reasoning reporting strand of the Discrete Mathematics Virginia Standards of Learning.
How do I study and practice for SOL DM.LR.2?
Start with a diagnostic to see whether DM.LR.2 is already solid, then work the 6 skills above with guided notes, flashcards, and SOL-style practice questions. For official released items, see the Virginia SOL practice tests guide.