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 Microsoft Word - 2007 MS Math Framework Competencies and Objectives 9-18-07.doc
2007 Mississippi Mathematics Framework Revised 68 DISCRETE MATHEMATICS Discrete Mathematics is the study of processes that involve sequences of individual or countable steps as opposed to the study of continuously changing processes addressed in Calculus. Topics of study include number syst...
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2007 Mississippi Mathematics Framework Revised 68 DISCRETE MATHEMATICS Discrete Mathematics is the study of processes that involve sequences of individual or countable steps as opposed to the study of continuously changing processes addressed in Calculus. Topics of study include number systems, logic of compound statements, mathematical induction and recursion, graph theory and set theory. The instructional approach should provide opportunities for students to work together collaboratively and
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=69
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
2007 Mississippi Mathematics Framework Revised 68 DISCRETE MATHEMATICS Discrete Mathematics is the study of processes that involve sequences of individual or countable steps as opposed to the study of continuously changing processes addressed <span class="highlight">in</span> Calculus. Topics of study include number systems, logic of compound statements, mathematical <span class="highlight">induction</span> <span class="highlight">and</span> recursion, graph theory <span class="highlight">and</span> set theory. The instructional <span class="highlight">approach</span> should provide opportunities <span class="highlight">for</span> students to work together collaboratively <span class="highlight">and</span>
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=70
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
the explicit formula <span class="highlight">for</span> <span class="highlight">a</span> recursively-defined sequence <span class="highlight">using</span> iteration. (DOK 2) g. Use mathematical <span class="highlight">induction</span> to verify explicit formulas <span class="highlight">for</span> arithmetic, geometric, <span class="highlight">and</span> other sequences <span class="highlight">and</span>/or series. (DOK 2) h. Add, subtract, multiply, <span class="highlight">and</span> divide sets <span class="highlight">and</span> find unions, intersections, differences, <span class="highlight">and</span> complements of sets. (DOK 2) GEOMETRY 3. Use geometric models to describe <span class="highlight">and</span> analyze mathematical relationships, establish the validity of conjectures, <span class="highlight">and</span> determine solutions to real
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=71
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
Determine the number of walks between two vertices <span class="highlight">using</span> powers of the adjacency matrix. (DOK 2) k. Explain why <span class="highlight">a</span> graph is <span class="highlight">a</span> <span class="highlight">tree</span>. (DOK 2) l. Determine the level, parent, siblings, ancestors, descendants of <span class="highlight">a</span> given node. Determine the height of <span class="highlight">a</span> rooted <span class="highlight">tree</span>. (DOK 1) m. Determine the shortest route <span class="highlight">in</span> <span class="highlight">a</span> spanning <span class="highlight">tree</span>. (DOK 2) DATA ANALYSIS & PROBABILITY 4. Investigate <span class="highlight">and</span> explain strategies <span class="highlight">for</span> solving simple games. <span class="highlight">a</span>. Determine the characteristics that result <span class="highlight">in</span> <span class="highlight">a</span> fair game. (DOK 2) b. Identify
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=73
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
2007 Mississippi Mathematics Framework Revised 72 CALCULUS CONTENT STRANDS: Number <span class="highlight">and</span> Operations Algebra Geometry Measurement Competencies <span class="highlight">and</span> Objectives: NUMBER <span class="highlight">AND</span> OPERATIONS 1. Compute <span class="highlight">and</span> determine the reasonableness of results <span class="highlight">in</span> mathematical <span class="highlight">and</span> real world situations. <span class="highlight">a</span>. Estimate limits from graphs or tables. (DOK 2) b. Estimate numerical derivatives from graphs or tables of data. (DOK 2) c. Prove statements <span class="highlight">using</span> mathematical <span class="highlight">induction</span>. (DOK 3) ALGEBRA 2
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http://www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math%20Framework%20Competencies%20and%20Objectives%209-18-07.pdf#page=76
www.mde.k12.ms.us/acad/id/curriculum/math/2007_framework/2007%20MS%20Math...
2007 Mississippi Mathematics Framework Revised 75 STATISTICS CONTENT STRANDS: Number <span class="highlight">and</span> Operations Algebra Geometry Data Analysis & Probability Competencies <span class="highlight">and</span> Objectives: NUMBER <span class="highlight">AND</span> OPERATIONS 1. Explore phenomena <span class="highlight">using</span> probability <span class="highlight">and</span> simulation. Compute appropriate statistical <span class="highlight">and</span> probabilistic measures. <span class="highlight">a</span>. Describe the comparison of center <span class="highlight">and</span> spread within groups <span class="highlight">and</span> between or across group variation. (DOK 2) b. Interpret <span class="highlight">and</span> apply the concept of the Law of Large
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