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LA.1112.1.6.1:
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The student will use new vocabulary that is introduced and taught directly;
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LA.1112.1.6.9:
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The student will determine the correct meaning of words with multiple meanings in context;
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LA.1112.2.2.3:
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The student will organize information to show understanding or relationships among facts, ideas, and events (e.g., representing key points within text through charting, mapping, paraphrasing, summarizing, comparing, contrasting, outlining);
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MA.912.A.7.9:
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Solve optimization problems.
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High
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MA.912.A.10.1:
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Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guessing- and-checking, solving a simpler problem, writing an equation, working backwards, and creating a table.
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High
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MA.912.A.10.2:
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Decide whether a solution is reasonable in the context of the original situation.
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Moderate
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MA.912.D.1.1:
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Use recursive and iterative thinking to solve problems, including identification of patterns, population growth and decline, and compound interest .
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Moderate
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MA.912.D.1.2:
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Use finite differences to solve problems and to find explicit formulas for recurrence relations.
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High
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MA.912.D.1.3:
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Use mathematical induction to prove various concepts in number theory (such as sums of infinite integer series, divisibility statements, and parity statements), recurrence relations, and other applications.
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High
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MA.912.D.2.1:
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Use Euler and Hamilton cycles and paths in graphs to solve routing problems.
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High
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MA.912.D.2.2:
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Use critical path analysis to solve scheduling problems.
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High
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MA.912.D.2.3:
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Use graph coloring techniques to solve problems.
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Moderate
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MA.912.D.2.4:
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Use spanning trees, rooted trees, binary trees, and decision trees to solve problems.
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Moderate
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MA.912.D.4.1:
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Solve maximal profit/minimal cost problems.
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High
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MA.912.D.6.1:
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Use truth tables to determine truth values of propositional statements.
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Moderate
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MA.912.D.6.2:
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Find the converse, inverse, and contrapositive of a statement
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Moderate
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MA.912.D.6.3:
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Determine whether two propositions are logically equivalent.
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Moderate
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MA.912.D.6.4:
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Use methods of direct and indirect proof and determine whether a short proof is logically valid.
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Moderate
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MA.912.D.6.5:
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Identify and give examples of :
- undefined terms
- axioms
- theorems
- inductive and deductive proofs and,
- inductive and deductive reasoning.
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Low
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MA.912.D.6.6:
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Construct logical arguments using laws of detachment (modus ponens), syllogism, tautology, and contradiction judge the validity of arguments, and give counterexamples to disprove statements.
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High
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MA.912.D.6.7:
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Use applications of the universal and existential quantifiers to propositional statements.
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Low
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MA.912.D.7.1:
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Perform set operations such as union and intersection, complement, and cross product.
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Low
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MA.912.D.7.2:
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Use Venn diagrams to explore relationships and patterns and to make arguments about relationships between sets.
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Moderate
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MA.912.D.8.1:
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Use matrices to organize and store data. Perform matrix operations (addition, subtraction, scalar multiplication, multiplication)
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Low
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MA.912.D.8.2:
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Use matrix operations to solve problems.
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Moderate
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MA.912.D.8.4:
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Find the inverse of a matrix , and use the inverse to solve problems with and without the use of technology.
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High
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MA.912.D.8.5:
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Use determinants of 2 x 2 and 3 x 3 matrices as well as higher order matrices with and without the use of technology.
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Low
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MA.912.D.8.6:
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Use matrices to solve Markov chain problems that link present events to future events using probabilities.
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High
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MA.912.D.11.1:
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Define arithmetic and geometric sequences and series.
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Low
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MA.912.D.11.2:
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Use sigma notation to describe series.
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Low
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MA.912.D.11.3:
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Find specified terms of arithmetic and geometric sequences.
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Low
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MA.912.D.11.4:
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Find partial sums of arithmetic and geometric series, and find sums of infinite convergent geometric series. Use Sigma notation where applicable.
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Moderate
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MA.912.D.11.5:
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Explore and use other sequences found in nature such as the Fibonacci sequence and the golden ratio .
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High
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MA.912.P.1.1:
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Use counting principle s, including the addition and the multiplication principles, to determine size of finite sample space s and probabilities of events in those spaces.
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High
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MA.912.P.1.2:
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Use formulas for permutations and combinations to count outcomes and determine probabilities of events.
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Moderate
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MA.912.P.2.2:
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Determine probabilities of independent event s .
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Moderate
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