NGPF Math Resource Directory
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NGPF Math Resources
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This spreadsheet is for economics teachers to navigate NGPF's activities that weave Mathematics and Personal Finance together. The Personal Finance resources are organized by Math topics included in the National Council of Teachers of Mathematics. Please note that while most resources below are listed under a specific topic, many are relevant for multiple topics.
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To view the National Council of Teachers of Mathematics Principles, Standards, and Expectations, click here.
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1. NUMBERS & QUANTITIES
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Understand numbers, ways of representing numbers, relationships among numbers, and number systems; Understand meanings of operations and how they relate to one another; Compute fluently and make reasonable estimates
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Math TopicsActivity LinkPersonal Finance Topics
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Number senseMATH: Unit Price Unit price
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Operations (multi, divi)CALCULATE: Reconcile Your Checkbook Checking, Checking Accounts
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Operations (multi, divi), Number SenseCOMPARE: Overdraft FeesChecking, Overdraft
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Order of operationsMATH: Yield to Maturity Bonds
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Percent ChangeMATH: Percent Change in US Household Debt Auto Loans, Credit Card Debt
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Percents, Data graphsMATH: Making Sense of PercentsFinancial Decision-Making, Spending across generations
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Percents, Order of OperationsMATH: Income Tax BracketsTaxes, Tax Brackets
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Percents, Order of OperationsANALYZE: Understanding AmortizationTypes of Credit, Ammortization Schedules
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Percents, Order of OperationsCALCULATE: Shopping with InterestTypes of Credit, Interest
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Percents, Order of OperationsPROJECT: Budgeting for Your Credit Card Payments Types of Credit, Credit Card Payments
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Percents, Order of OperationsCALCULATE: The Cost of Rent-to-OwnFinancial Pitfalls, Rent-to-Own
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Percents, Order of OperationsROLEPLAY: Sign Up for a 401(k)Investing, Retirement Savings
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Percents, Order of OperationsCOMPARE: Auto LoansTypes of Credit, Auto Loans
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Percents, Order of OperationsCASE STUDY: Get Me Out of My Debt Dungeon!FInancial Pitfalls, Credit
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Percents, Order of OperationsRESEARCH: Monthly Cost of Car OwnershipBudgeting, Car Costs
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Percents, Order of OperationsCREATE: A Salary-Based BudgetBudget, Budgeting your Salary
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Percents, Order of OperationsMATH: Active vs Passive FundsMutual Funds, Investing Fees
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Percents, Order of Operations
MATH: Return on InvestmentIndividual Stocks, Mutual Funds, Index Funds
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Translating word problems to numerical expressionsMATH: Calculating PercentagesDiscounts, Budgeting
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2. ALGEBRA
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Understand patterns, relations, and functions; Represent and analyze mathematical situations and structures using algebraic symbols; Use mathematical models to represent and understand quantitative relationships; Analyze change in various contexts
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Math TopicsActivity LinkPersonal Finance Topics
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Evaluating multi-step expressions
MATH: Loan Repayments Using Simple Interest Credit cards, Loan payments
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Evaluating multi-step expressions
MATH: Auto and Mortgage Monthly PaymentsTypes of Credit, Loan Repayments
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Exponential DecayMATH: Depreciation of Car ValueDepreciation, Inflation
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Exponential Decay, Logs (optional)MATH: Exponential Decay in Purchasing Power Inflation, Purchasing Power
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Exponential EquationsMATH: Compound Interest in Savings AccountsOnline Savings Accounts, Certificates of Deposit
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Exponential functionsMATH: Compound Interest PitfallsCredit Card Debt, Payday Loans, Pyramid Schemes
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Exponential functionsMATH: Exponential Growth in InvestmentsProperty investment, Roth IRA, Stocks, Bonds
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Function NotationMATH: Rule(72) Rule of 72
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Function Notation, Composition of Functions
MATH: Discounts and Composite Functions Coupons and Sale prices
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Function Notation, Composition of FunctionsMATH: Rule of 110 and Function CompositionStocks, Bonds
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Function Notation, Composition of Functions MATH: Mortgage Payments & Function NotationMortgage Payments, Interest rates
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Functions, Graphing on a Coordinate PlaneMATH: Graphing a Budget EquationBudgeting, Comparison Shopping
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Functions, Graphing on a Coordinate PlaneMOVE: Using the Rule of 72Saving, The Rule of 72
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Graphing an equation in slope-intercept formMATH: Graphing a Budget EquationBudgeting, Comparison shopping
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Linear Regression MATH: Using Regression to Analyze Stocks Stocks
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Logarithims, Solving one- and multi-step equationsMATH: Two Ways to Double Your SavingsSavings, Savings Account Interest
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3. DATA ANALYSIS & PROBABILITY
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Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them; Select and use appropriate statistical methods to analyze data; Develop and evaluate inferences and predictions that are based on data; Understand and apply basic concepts of probability
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Math TopicsActivity LinkPersonal Finance Topics
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Box and Whisker PlotsMATH: Box and Whisker Plots for Banking FeesBank fees
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Data InterpretationANALYZE: Minimum Wage Since 1938Career, Minumum Wage
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Data interpretationCOMPARE: Car Insurance Comparison ShoppingInsurance, Auto
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Data interpretationMOVE: To Understand Overdraft FeesChecking, Overdraft
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Data interpretation, bar graphCALCULATE: What is the Value of a College Education?Paying for College, Value of College
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Measures of Central Tendency (mean, median, mode)MATH: Central Tendency of College CostsCollege Tuition, Student Loan Debt
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ProbabilityINTERACTIVE: What If You Played the Lottery?Financial Pitfalls, Lottery
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ProbabilityINTERACTIVE: Win the Powerball! Financial Pitfalls, Lottery
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Standard DeviationMATH: Standard Deviation in Stocks and BondsRisk and volatility, Stocks and bonds
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Standard Deviation, Probability Distribution, Spreadsheet FunctionsMATH: Probability Distribution of Stocks and BondsRisk and volatility, Stocks and bonds
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4. DATA CRUNCHES (organized by type of graph)
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Data Crunches feature one chart or graph followed by five scaffolded questions to guide students through analyzing the data and drawing conclusions. Watch this short video for a variety of ideas on implementing Data Crunches.
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Math TopicsActivity LinkPersonal Finance Topics
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Area graphWhere Do Our Tax Dollars Go?Taxes, Federal Spending
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Bar GraphWhat Do College Grads Want Most in a Job?Types of Credit, Credit Card Fees
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Bar GraphWhich Careers Are Growing Fastest?Investing, Diversification
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Bar GraphWhich Digital Wallets Are Most Popular?Checking, Digital Payments
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Bar GraphHow Prevalent Is Financial Fraud?Savings, Age to Start Saving
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Bar GraphHow Do Young Adults Protect Their Privacy Online?Paying for College, Student Loans
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Bar Graph
How Do Title Loan Borrowers Feel About Their Experience?
Financial Pitfalls, Title Loans
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Bar GraphHow Much Do Auto Insurance Rates Vary by Age?Savings, Emergency Fund
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Bar Graph
How Does the Cost of Health Insurance Premiums Vary by Age?
Financial Pitfalls, Prevelance of Fraud
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Bar Graph
Are Americans Worried About Unexpected Medical Bills?
Taxes, Taxpayer Demographics
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Bar Graph
How Has The Average Investor Done Over the Past 20 Years?
Insurance, Health
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Bar GraphHow Does Your Asset Mix Impact Your Returns?Paying for College, Value of College
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Bar Graph
What Have Stock Market Returns Been Over the Past Ninety Years?
Types of Credit, Getting a Loan
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Bar GraphWhat Is the Average Credit Score by Age?Paying for College, Student Loans
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Bar GraphHow Do Credit Utilization Rates Vary by Credit Score?Careers, Job Opportunities
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Bar GraphWho Has The Most Trouble Paying Off Student Loans?Insurance, Medical Bills
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Bar Graph
What Percentage of College Students Graduate With Debt?
Types of Credit, Credit Cards
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Bar GraphWhich Colleges Have The Best Return on Investment?Managing Credit, Credit Score
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Bar GraphWhen Should You Start Saving?Checking, Checking accounts
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Bar GraphHow "Financially Prepared" Are Americans?Managing Credit, Credit Utilization
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Bar GraphWhen Do People File Their Tax Returns?Careers, Job Opportunities
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Bar GraphHow Old Are Most Taxpayers?Taxes, Filing Returns
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Bar GraphWhat Are the Most Common Credit Card Fees?Investing, Stock Market Returns
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Bar GraphWhen Do College Students Use Credit Cards?Insurance, Auto
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Bar GraphHow Easy Is It to Get a Loan?Investing, Amount of Investments
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Bar Graph and Line GraphHow We Pay for Stuff: Debit, Credit or Prepaid?Checking, Methods of Payment
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Bar Graph and Pie Chart
How Much Do You Expect to Get From Your Tax Return?
Taxes, Filing Returns
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Box and Whisker PlotWhat’s The Value of A College Major?Paying for College, Value of College
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Data Chart
How Do Renters and Homeowners Insurance Compare?
Insurance, Renters, Homeowners
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Data Table
How Safe Do Consumers Feel When Using Mobile Payments?
Checking, Payment Methods
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Data TableAre Stocks a Risky Long-Term Investment?Taxes, Tax Brackets
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Data TableWhat Are The Current Federal Tax Brackets?Investing, Stocks
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InfographicHow Do Americans Get Health Insurance?Checking, Checking account fees
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