Standards

BI (Big Ideas):

1. Make sense of problems and persevere in solving them. ( BI.1 )
2. Reason abstractly and quantitatively. ( BI.2 )
3. Construct viable arguments and critique the reasoning of others. ( BI.3 )
4. Model with mathematics. ( BI.4 )
5. Use appropriate tools strategically. (BI.5 )

DC (Discrete Content):

1. Logic

   1. Truth tables ( DC.1.a )
   2. DeMorgan's Laws (DC.1.b )
   3. Implication (DC.1.c)
   4. Basic syllogisms (proofs) (DC.1.d)
   5. Finding counterexamples (DC.1.e)
   6. Proofs using truth tables (DC.1.f )

2. Combinatorics

   1. Permutations ( DC.2.a )
   2. Combinations ( DC.2.b )
   3. Perm. and comb with repeats ( DC.2.c )
   4. Pigeonhole principle ( DC.2.d )

3. Induction proofs

   1. Base case (DC.3.A )
   2. Connection between $n$ and $n+1$ cases ( DC.3.B )
   3. Logic of the proof ( DC.3.C )

4. Graphs

   1. Finding paths (DC.4.A )
   2. Identifying subgraphs (DC.4.B )

5. Shortest paths

6. Graph coloring

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