Mathematical Models With Applications

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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) Money Word Problems a. Figuring out a Budget (without Sales tax) b. Applying Percents to Numbers c. Calculating Sales Tax and Tip Word Problems d. Figuring out a Budget (with Sales tax) e. Calculating Discounts Word Problems f. Calculating Simple Interest Word Problems g. Calculating Compound Interest Word Problems h. Calculating Percent of Increase/Decrease Word Problems i. Solving Percent of Change Problems (Random) Ratio and Proportion Problems 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 (Random) Work, Trip and Age Problems a. Solving Work Problems b. Solving Trip/Distance Problems c. Solving Age Problems (Random) Pythagorean Theorem Problems a. Using the Pythagorean Theorem (Finding the Hypotenuse) b. Using the Pythagorean Theorem (Finding a Leg) c. Using the Pythagorean Theorem To Identify Right Triangles (Random) Dealing With Work/Taxes a. Calculating Work Hours b. Calculating Months Worked c. Calculating Gross Pay d. Calculating Net Pay e. Calculating the Net Pay you Need f. Calculating the Gross Pay you Need g. Calculating the Number of Hours Needed h. Comparing Jobs i. Given Gross and Net Pay Calculate the Percent of Pay taken home j. Cost of Poor Health k. Average Tax Rate and Tax Calculations l. Tax Deductions (Random) Loans and Budgeting a. Student Loans b. Basic Budgeting c. Calculating Surplus and Deficits d. Budgeting when dealing with taxes e. Building Up Savings (Easier) f. Building up Savings (Harder) g. Estimating Income h. Determining Net Worth i. Comparing Monetary Incentives such as Sales and Coupons (Random) Bank Accounts a. Comparing Banks b. Savings Accounts and Account Savings c. Comparing Checkings/Savings Accounts d. Comparing Debit Cards e. Simple Vs. Compound Interest f. Writing a Check g. Balancing Your Checkbook h. Methods of Paying Bills i. Saving Money with Online Statements j. Saving Money k. Covering Expenses l. Safety of Accounts m. Identifying a Deposit or Withdrawal n. Filling out a Check Register o. Filling Out a Deposit Slip (Random) Insurance a. Deductibles b. Premiums c. Estimating Costs d. Depreciation (Random) Credit Cards And Debt a. Calculating the Effects of Interest b. Estimate the Payoff Amount c. Applying Late Fees d. Paying the Minimum Payment e. Credit vs Debit Cards f. How Credit Scores Affect Loans g. Buying a Home/Housing h. Mortgages and Points (Random) Consumer Issues a. Renting an Apartment b. Renting out a Room in Your Home c. Purchasing and Comparing Apartments/Cars d. Leasing a Car vs Buying a Car e. Dealing with Markups and Markdowns f. Comparing Items with Shipping and Discounts g. Dealing with Sales Tax (Random) Saving, Investing, and Risk 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 (Random) Retirement a. Living off Interest b. Calculating Retirement Account Values c. Matching Contributions d. Retirement and Taxes	(Random) Statistics a. Finding Standard Deviation (σ) b. Constructing Box and Whisker c. Reading Box and Whisker d. Comparing Box and Whisker Plots e. Finding Mean, Median and Mode f. Identifying the Meaning of Mean, Median and Mode g. Measuring Spread: Range, Interquartile Range, Standard Deviation h. Quartiles and IQR (Random) Best Fit Equation 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 (Random) Variation a. Identifying Variation of a Graph b. Setting up and Solving Inverse Variation Problems c. Setting up and Solving Direct Variation Problems d. Setting up and Solving Joint Variation Problems e. Direct Variation and Inverse Variation Word Problems f. Finding the Constant of Variation g. Identifying Direct and Inverse Variation Situations (Random) Combinations and Permutations a. Identifying Permutations and Combinations b. Calculating Permutations (And other cases where order matters) c. Calculating Combinations d. Calculating Rearrangements of Words e. Counting Cases f. Complementary Counting g. Counting Pairs (Random) Displaying Data a. Predicting with Histograms b. Displaying Data using Histograms c. Reading Histograms d. Displaying Data using Bar Graphs e. Reading Bar Graphs f. Displaying Data using Circle Graphs g. Reading Circle Graphs h. Creating Line Graphs i. Reading Line Graphs j. Constructing Stem and Leaf k. Reading Stem and Leaf l. Dotplots (Random) Trigonometric Functions a. Using Trigonometry (Sin, Cos, Tan) to find Side Lengths b. Using Inverse Trigonometric Functions (Sin^-1, Cos^-1, Tan^-1) to find Angles c. Solving Right Triangles d. Basic Facts and Graphs of parent Trigonometric Functions e. Determining Amplitude in Graph and Equation f. Writing Equations of Amplitude and Vertical Stretch Changes g. Sketching Graphs with Amplitude Changes, Vertical Stretches, and Vertical Flips (Random) Symmetries and Transformations a. Identifying Line Symmetry b. Identifying Rotational and Point Symmetry c. Classifying Frieze Patterns d. Finding the Minimum Distance between two Points Touching a Line e. Applying Rotations f. Applying Reflections g. Identifying Symmetry with Tessellations (Tilings) h. Finding the Scale Factor i. Solving Scale Model Problems j. Using Tessellation Problems when Finding Angles k. Using Perspective Drawings l. Using Scale Factors in Dilations m. Tessellations (Tilings) (Random) 3-D Shapes and Proportional Reasoning a. Solving Word Problems b. Using Proportional Reasoning with Similar Objects c. Using Dimension Changes to Find Volume and Surface Area d. Finding Geometric Probabilities (Random) Growth And Decay a. Solving Word Problems with Exponential Growth b. Solving Word Problems about Exponential Decay c. Basic Growth And Decay Problems (Random) Probability a. Empirical vs. Theoretical vs. Subjective Probability b. Definition of a Binomial Probability Distribution c. Binomial Probability (Random) Regression a. Linear Regression b. Predicting with Linear Regression (Random) Basic Inference a. Confidence Interval Vocabulary and Relation to z-scores b. Steps for Finding a Confidence Interval c. Finding a Confidence Interval for μ (σ known) d. Determining Sample Size needed e. Hypothesis Testing Vocabulary f. Type I Vs. Type II Error g. Steps for doing a Hypothesis Test h. Doing a Hypothesis Test of μ (σ known) (Random) Methods of Data Collection a. Sample Survey b. Experiment c. Observational Study (Random) Sampling Distributions a. Sampling Distributions b. Sampling Distribution of a Sample Proportion c. Sampling Distribution of a Sample Mean d. Central Limit Theorem e. Sampling Distribution of a difference between two Independent Sample Proportions f. Sampling Distribution of a difference between two Independent Sample Means g. Simulation of Sampling Distributions h. t-Distribution i. Chi-Square Distribution
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