Georgia GSE Advanced Mathematical Decision Making

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Select the number of each type of objective: (Selecting Random will randomly generate all subtypes) Click on any title to see the free sample worksheet. (only the first few samples are free) (Random) Ratio and Proportion MAMDM.N.1 a. Creating Rates and Ratios from Word Problems b. Using Rates and Ratios in Proportions c. Solving Scale Model Problems d. Solving Simple Proportion Word Problems e. Solving Complex Proportion Word Problems f. Check Digits g. Weighted Check Digits h. Using Codabar i. Postnet Bar Codes j. Information: ZIP, UPC, and Social Security Numbers k. Using the Soundex Code l. Binary Codes m. Parity Check Sums n. Data Compression o. Cryptograms p. RSA Encryption (Random) Matrices and Vectors MAMDM.A.1 a. Performing Matrix Operations (Addition/Subtraction/Scalar Multiplication) b. Performing Matrix Multiplication c. Finding the determinants of Matrices d. Finding Matrix Inverses (3x3) e. Finding Matrix Inverses (4x4) f. Apply Adjacency Matrices g. Apply the Leslie matrix model to population models h. Apply the Markov chain to probability models i. Apply the Leontief model to economic situations j. Create a Game Matrix k. Determine the Expected Value of the Game Matrix l. Identifying and Using Game terms such as Zero-Sum and Minimax m. Nash equilibrium, the Prisoner's Dilemma, and the Game of Chicken n. Nash Equilibrium for 3x3 and 4x4 Games o. Rules of TOM (Theory of Moves) p. Creating a Tree Diagram in TOM (Theory of Moves) and Determining if it is Cyclic q. Finding all NME (Nonmyopic Equilibria) r. Larger TOM Games (Theory of Moves) (Random) Network Models MAMDM.A.2 a. Define a graph and its parts b. Finding Bridges, Loops, and Multiple Edges c. Identifying if Graph has an Open or Closed Unicursal Tracing d. Applying Euler's Graph Theory e. Creating Eulerizations and Semi-Eulerizations f. Solving Euler Path/Circuit Word Problems g. Finding Hamilton Circuits and Paths h. Using and Identifying Complete Graphs i. Solving the Traveling Salesman Problem (Brute Force) j. Solving the Traveling Salesman Problem (Nearest Neighbor) k. Solving the Traveling Salesman Problem (Repetitive Nearest Neighbor) l. Solving the Traveling Salesman Problem (Cheapest Link) m. Using and Identifying Trees n. Find the Number of Spanning Trees (simple cases) o. Find Minimum Spanning Trees Using Kruskal's Algorithm p. Find Minimum Spanning Trees Using Prim's Algorithm q. Find Minimum Spanning Trees Using Dijkstra's Algorithm r. The Shortest Network and Steiner Points s. Find the chromatic number of a graph t. Find the chromatic index of a graph u. Identifying Snarks v. Identifying Planar Graphs w. Coloring Graphs vs. Maps x. Use Graph Coloring for Scheduling Problems y. Directed Graph (Digraph) Terminology z. Applying Euler's Graph Theory for Directed Graphs aa. Finding Hamilton Circuits and Paths for Directed Graphs bb. Facts about Schedules cc. Applying the List Processing Algorithm dd. Applying the Decreasing Time Algorithm ee. Compute the earliest Completion Time using Critical Paths ff. Applying the Critical Path Algorithm gg. Identifying Bin Packing vs. Scheduling Problems hh. Bin Packing Problems (Random) Money Issues MAMDM.A.3 a. Savings Accounts b. Mutual Funds c. Stocks d. Bonds e. Investing vs Debt f. Bonds and Bond Funds g. Stocks and Mutual Funds h. Rate of Return (And the Rule of 72) i. Line of Best Fit and Risk vs Return j. Diversification k. Identifying Ways to Earn Income	l. Income vs Gifts m. Skills required for jobs n. Wants vs Needs o. Spending Vs. Savings p. Cost of Charity q. Responsible Vs Irresponsible Borrowing r. Types of Loans s. Ways to Pay for Items t. Basic Ups and Downs With Supply and Demand (Random) Voting MAMDM.A.4 a. Creating a Preference Schedule b. Using Plurality c. Using Borda d. Using Plurality with Elimination e. Using Condorcet (Pairwise Comparisons) f. Using Extended Rankings g. Using Plurality with Runoff h. Fairness Criterion and Arrow's Theorem i. Using Approval Voting j. Using Weighted Voting Systems k. Computing Power Index (Banzhaf) l. Computing Shapley-Shubik Power Index (Random) 2-D and 3-D MAMDM.G.1 a. Creating 2-D Views of Stacked Cubes b. Creating Stacked Cubes from 2-D Views c. Creating 2-D Views of Geometric Solids d. Creating Geometric Solids from 2-D Views e. Creating a 3-D Object from Nets f. Identifying Symmetry with Tessellations (Tilings) (Random) Solving Triangles MAMDM.G.2 a. Solve Right Triangles b. Finding the Number of Solutions in A.S.S. Case c. Using Law of Sines d. Using Law of Cosines e. Finding Area using Sine f. Finding Area using Heron's Formula g. Word Problems (Random) Probability MAMDM.D.1 a. Empirical vs. Theoretical vs. Subjective Probability b. Law of Large Numbers c. Finding Sample Space d. Mutually Exclusive and Basic Probabilities e. Finding Probability of Independent Events f. Finding Probability of Dependent Events g. Identifying Permutations and Combinations h. Calculating Permutations (And other cases where order matters) i. Calculating Combinations j. Calculating Rearrangements of Words k. Using Formulas (Random) Skills and Vocabulary MAMDM.D.2 a. Discrete vs. Continuous Random Variables b. Probability Distributions c. Mean of a Discrete Random Variable d. Variance and Standard Deviation of a Discrete Random Variable e. Definition of a Binomial Probability Distribution f. Mean and Standard Deviation of Binomial Distributions (Random) Sampling and Inference MAMDM.D.3 a. Properties of the Sampling Distribution of Sample Means b. Central Limit Theorem c. Confidence Interval Vocabulary and Relation to z-scores d. Steps for Finding a Confidence Interval e. Finding a Confidence Interval for μ (σ known) f. Determining Sample Size needed g. Hypothesis Testing Vocabulary h. Type I Vs. Type II Error i. Steps for doing a Hypothesis Test j. Doing a Hypothesis Test of μ (σ known) (Random) Creating Models MAMDM.D.4 a. Finding the Best Fit Line from a Data Set or a Scatterplot b. Identifying the Best Fit Equation type from a Data Set or a Scatterplot c. Identifying the Slope from a Data Set or Scatterplot d. Predicting a Value according to a Data Set or Scatterplot e. Finding best fit for scatterplots of a Logarithmic Function f. Finding best fit for scatterplots of a Linear Function g. Finding best fit for scatterplots of a Quadratic Function h. Finding best fit for scatterplots of a Polynomial Function i. Finding best fit for scatterplots of a Exponential Function j. Identifying Equations (from charts, sets, and scatterplots) k. Analyzing patterns in scatterplots l. Correlation and Linearity m. Least Squares Regression Line n. Residual Plots, Outliers, and Influential Points
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