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JONES COUNTY SCHOOLS CURRICULUM MAP Quarter 1st 4 week 2nd 4 week Content Material Covered SUBJECT: Discrete Math Standards Addressed 1.01 Use matrices to model and solve problems. GRADE: High School Resources Essential Vocabulary 1st week: Matrix Add, Subtract, Multiply matrices. Display and interpret matrix data. Decoding Matrices 2nd week: Critical Paths Determine the earliest start time (EST), latest-start time (LST) and minimum project time. Determine the critical path; draw graphs from 1.02 Use graph theory tables and vice versa. Construct an adjacency matrix to model relationships from a diagraph and vice versa. and solve problems. rd 3 week: Representations of Graphs Understand the difference between Euler Circuit and Paths and a Hamilton Circuit and path. Routing problems. 4th week: Graph coloring Determine the chromatic number of a graph, color graphs Assessment Dimension Edges Square matrix Vertices Row Graph Column Adjacent Prerequisites Chromatic number Scalar Inverse Transpose Identity 1st week: Data Collection Apply methods of data collection. Determine the median, mean and standard deviation. Recognize normal distribution curve. Compare data distribution. Interpret displays of data. 2nd week: Counting Techniques Determine how many ways a situation can be done by using counting methods. Calculate and apply factorial, permutation and probability 3rd week: Counting Techniques Calculate and apply counting techniques in which order is unimportant such as combination. Use all counting techniques at once. 4th week: Probability pt1 Use Addition and Multiplication Principle, Conditional Probability, Independent events. Midterm Assessment Mean Disjoint Median Trial Variance Standard Deviation Normal Distribution Random Sampling Bias Independent Survey Dependent Population Permutation Mutually exclusive 2.01 Describe data to solve problems 2.03 Model and solve problems involving fair outcomes JONES COUNTY SCHOOLS CURRICULUM MAP 1st week: Probability pt2 Apply the Binomial Theorem. 3rd 2nd week: Sequences Find the sum of infinite and finite 4 week sequences. Apply formulas for Arithmetic and Geometric Sequences 3rd week: Lines Review lines then construct a Cobweb Diagram. Growth & Decay. Annuities 4th week: Logs Exponent rules and Logs. Fractal Dimensions Assessment 1st week: Apportionment Apply the ideal ratio, Hamilton 4th method and Jefferson method. Solve problems using 4 week apportionment 2nd week: Election Theory Solve problems using election theory. Construct and apply Preference Schedules, Preferential ballots, plurality and majority winners. Apply the following methods: Borda Count, Runoff , Sequential, Condorcet, 3rd week: Voting Theory: Apply the following methods of voting: Arrow’s conditions, approval voting, weighted voting. Use the Shapley-Shubik and the Banzlaf power index 4th week: Fair Division: Discuss fairness (perceived value) and desired outcome. Apply and demonstrate the following methods: Lone Divider, Chooser/Divider, Marker Method, Estate Division (sealed Bids) Final Assessment (MSL) SUBJECT: Discrete Math 2.03 Model and solve problems involving fair outcomes GRADE: High School Arithmetic Geometric 3.01 Use recursion to model and solve problems 2.03 Model and solve problems involving fair outcomes Preference schedule Preferential ballot Discrete Continuous