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2 | NGPF Math Resources | ||||||||||||||||||||||||||

3 | 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. | ||||||||||||||||||||||||||

4 | To view the National Council of Teachers of Mathematics Principles, Standards, and Expectations, click here. | ||||||||||||||||||||||||||

5 | 1. NUMBERS & QUANTITIES | ||||||||||||||||||||||||||

6 | 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 | ||||||||||||||||||||||||||

7 | Math Topics | Activity Link | Personal Finance Topics | ||||||||||||||||||||||||

8 | Number sense | MATH: Unit Price | Unit price | ||||||||||||||||||||||||

9 | Operations (multi, divi) | CALCULATE: Reconcile Your Checkbook | Checking, Checking Accounts | ||||||||||||||||||||||||

10 | Operations (multi, divi), Number Sense | COMPARE: Overdraft Fees | Checking, Overdraft | ||||||||||||||||||||||||

11 | Order of operations | MATH: Yield to Maturity | Bonds | ||||||||||||||||||||||||

12 | Percent Change | MATH: Percent Change in US Household Debt | Auto Loans, Credit Card Debt | ||||||||||||||||||||||||

13 | Percents, Data graphs | MATH: Making Sense of Percents | Financial Decision-Making, Spending across generations | ||||||||||||||||||||||||

14 | Percents, Order of Operations | MATH: Income Tax Brackets | Taxes, Tax Brackets | ||||||||||||||||||||||||

15 | Percents, Order of Operations | ANALYZE: Understanding Amortization | Types of Credit, Ammortization Schedules | ||||||||||||||||||||||||

16 | Percents, Order of Operations | CALCULATE: Shopping with Interest | Types of Credit, Interest | ||||||||||||||||||||||||

17 | Percents, Order of Operations | PROJECT: Budgeting for Your Credit Card Payments | Types of Credit, Credit Card Payments | ||||||||||||||||||||||||

18 | Percents, Order of Operations | CALCULATE: The Cost of Rent-to-Own | Financial Pitfalls, Rent-to-Own | ||||||||||||||||||||||||

19 | Percents, Order of Operations | ROLEPLAY: Sign Up for a 401(k) | Investing, Retirement Savings | ||||||||||||||||||||||||

20 | Percents, Order of Operations | COMPARE: Auto Loans | Types of Credit, Auto Loans | ||||||||||||||||||||||||

21 | Percents, Order of Operations | CASE STUDY: Get Me Out of My Debt Dungeon! | FInancial Pitfalls, Credit | ||||||||||||||||||||||||

22 | Percents, Order of Operations | RESEARCH: Monthly Cost of Car Ownership | Budgeting, Car Costs | ||||||||||||||||||||||||

23 | Percents, Order of Operations | CREATE: A Salary-Based Budget | Budget, Budgeting your Salary | ||||||||||||||||||||||||

24 | Percents, Order of Operations | MATH: Active vs Passive Funds | Mutual Funds, Investing Fees | ||||||||||||||||||||||||

25 | Percents, Order of Operations | MATH: Return on Investment | Individual Stocks, Mutual Funds, Index Funds | ||||||||||||||||||||||||

26 | Translating word problems to numerical expressions | MATH: Calculating Percentages | Discounts, Budgeting | ||||||||||||||||||||||||

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29 | 2. ALGEBRA | ||||||||||||||||||||||||||

30 | 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 | ||||||||||||||||||||||||||

31 | Math Topics | Activity Link | Personal Finance Topics | ||||||||||||||||||||||||

32 | Evaluating multi-step expressions | MATH: Loan Repayments Using Simple Interest | Credit cards, Loan payments | ||||||||||||||||||||||||

33 | Evaluating multi-step expressions | MATH: Auto and Mortgage Monthly Payments | Types of Credit, Loan Repayments | ||||||||||||||||||||||||

34 | Exponential Decay | MATH: Depreciation of Car Value | Depreciation, Inflation | ||||||||||||||||||||||||

35 | Exponential Decay, Logs (optional) | MATH: Exponential Decay in Purchasing Power | Inflation, Purchasing Power | ||||||||||||||||||||||||

36 | Exponential Equations | MATH: Compound Interest in Savings Accounts | Online Savings Accounts, Certificates of Deposit | ||||||||||||||||||||||||

37 | Exponential functions | MATH: Compound Interest Pitfalls | Credit Card Debt, Payday Loans, Pyramid Schemes | ||||||||||||||||||||||||

38 | Exponential functions | MATH: Exponential Growth in Investments | Property investment, Roth IRA, Stocks, Bonds | ||||||||||||||||||||||||

39 | Function Notation | MATH: Rule(72) | Rule of 72 | ||||||||||||||||||||||||

40 | Function Notation, Composition of Functions | MATH: Discounts and Composite Functions | Coupons and Sale prices | ||||||||||||||||||||||||

41 | Function Notation, Composition of Functions | MATH: Rule of 110 and Function Composition | Stocks, Bonds | ||||||||||||||||||||||||

42 | Function Notation, Composition of Functions | MATH: Mortgage Payments & Function Notation | Mortgage Payments, Interest rates | ||||||||||||||||||||||||

43 | Functions, Graphing on a Coordinate Plane | MATH: Graphing a Budget Equation | Budgeting, Comparison Shopping | ||||||||||||||||||||||||

44 | Functions, Graphing on a Coordinate Plane | MOVE: Using the Rule of 72 | Saving, The Rule of 72 | ||||||||||||||||||||||||

45 | Graphing an equation in slope-intercept form | MATH: Graphing a Budget Equation | Budgeting, Comparison shopping | ||||||||||||||||||||||||

46 | Linear Regression | MATH: Using Regression to Analyze Stocks | Stocks | ||||||||||||||||||||||||

47 | Logarithims, Solving one- and multi-step equations | MATH: Two Ways to Double Your Savings | Savings, Savings Account Interest | ||||||||||||||||||||||||

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50 | 3. DATA ANALYSIS & PROBABILITY | ||||||||||||||||||||||||||

51 | 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 | ||||||||||||||||||||||||||

52 | Math Topics | Activity Link | Personal Finance Topics | ||||||||||||||||||||||||

53 | Box and Whisker Plots | MATH: Box and Whisker Plots for Banking Fees | Bank fees | ||||||||||||||||||||||||

54 | Data Interpretation | ANALYZE: Minimum Wage Since 1938 | Career, Minumum Wage | ||||||||||||||||||||||||

55 | Data interpretation | COMPARE: Car Insurance Comparison Shopping | Insurance, Auto | ||||||||||||||||||||||||

56 | Data interpretation | MOVE: To Understand Overdraft Fees | Checking, Overdraft | ||||||||||||||||||||||||

57 | Data interpretation, bar graph | CALCULATE: What is the Value of a College Education? | Paying for College, Value of College | ||||||||||||||||||||||||

58 | Measures of Central Tendency (mean, median, mode) | MATH: Central Tendency of College Costs | College Tuition, Student Loan Debt | ||||||||||||||||||||||||

59 | Probability | INTERACTIVE: What If You Played the Lottery? | Financial Pitfalls, Lottery | ||||||||||||||||||||||||

60 | Probability | INTERACTIVE: Win the Powerball! | Financial Pitfalls, Lottery | ||||||||||||||||||||||||

61 | Standard Deviation | MATH: Standard Deviation in Stocks and Bonds | Risk and volatility, Stocks and bonds | ||||||||||||||||||||||||

62 | Standard Deviation, Probability Distribution, Spreadsheet Functions | MATH: Probability Distribution of Stocks and Bonds | Risk and volatility, Stocks and bonds | ||||||||||||||||||||||||

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65 | 4. DATA CRUNCHES (organized by type of graph) | ||||||||||||||||||||||||||

66 | 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. | ||||||||||||||||||||||||||

67 | Math Topics | Activity Link | Personal Finance Topics | ||||||||||||||||||||||||

68 | Area graph | Where Do Our Tax Dollars Go? | Taxes, Federal Spending | ||||||||||||||||||||||||

69 | Bar Graph | What Do College Grads Want Most in a Job? | Types of Credit, Credit Card Fees | ||||||||||||||||||||||||

70 | Bar Graph | Which Careers Are Growing Fastest? | Investing, Diversification | ||||||||||||||||||||||||

71 | Bar Graph | Which Digital Wallets Are Most Popular? | Checking, Digital Payments | ||||||||||||||||||||||||

72 | Bar Graph | How Prevalent Is Financial Fraud? | Savings, Age to Start Saving | ||||||||||||||||||||||||

73 | Bar Graph | How Do Young Adults Protect Their Privacy Online? | Paying for College, Student Loans | ||||||||||||||||||||||||

74 | Bar Graph | How Do Title Loan Borrowers Feel About Their Experience? | Financial Pitfalls, Title Loans | ||||||||||||||||||||||||

75 | Bar Graph | How Much Do Auto Insurance Rates Vary by Age? | Savings, Emergency Fund | ||||||||||||||||||||||||

76 | Bar Graph | How Does the Cost of Health Insurance Premiums Vary by Age? | Financial Pitfalls, Prevelance of Fraud | ||||||||||||||||||||||||

77 | Bar Graph | Are Americans Worried About Unexpected Medical Bills? | Taxes, Taxpayer Demographics | ||||||||||||||||||||||||

78 | Bar Graph | How Has The Average Investor Done Over the Past 20 Years? | Insurance, Health | ||||||||||||||||||||||||

79 | Bar Graph | How Does Your Asset Mix Impact Your Returns? | Paying for College, Value of College | ||||||||||||||||||||||||

80 | Bar Graph | What Have Stock Market Returns Been Over the Past Ninety Years? | Types of Credit, Getting a Loan | ||||||||||||||||||||||||

81 | Bar Graph | What Is the Average Credit Score by Age? | Paying for College, Student Loans | ||||||||||||||||||||||||

82 | Bar Graph | How Do Credit Utilization Rates Vary by Credit Score? | Careers, Job Opportunities | ||||||||||||||||||||||||

83 | Bar Graph | Who Has The Most Trouble Paying Off Student Loans? | Insurance, Medical Bills | ||||||||||||||||||||||||

84 | Bar Graph | What Percentage of College Students Graduate With Debt? | Types of Credit, Credit Cards | ||||||||||||||||||||||||

85 | Bar Graph | Which Colleges Have The Best Return on Investment? | Managing Credit, Credit Score | ||||||||||||||||||||||||

86 | Bar Graph | When Should You Start Saving? | Checking, Checking accounts | ||||||||||||||||||||||||

87 | Bar Graph | How "Financially Prepared" Are Americans? | Managing Credit, Credit Utilization | ||||||||||||||||||||||||

88 | Bar Graph | When Do People File Their Tax Returns? | Careers, Job Opportunities | ||||||||||||||||||||||||

89 | Bar Graph | How Old Are Most Taxpayers? | Taxes, Filing Returns | ||||||||||||||||||||||||

90 | Bar Graph | What Are the Most Common Credit Card Fees? | Investing, Stock Market Returns | ||||||||||||||||||||||||

91 | Bar Graph | When Do College Students Use Credit Cards? | Insurance, Auto | ||||||||||||||||||||||||

92 | Bar Graph | How Easy Is It to Get a Loan? | Investing, Amount of Investments | ||||||||||||||||||||||||

93 | Bar Graph and Line Graph | How We Pay for Stuff: Debit, Credit or Prepaid? | Checking, Methods of Payment | ||||||||||||||||||||||||

94 | Bar Graph and Pie Chart | How Much Do You Expect to Get From Your Tax Return? | Taxes, Filing Returns | ||||||||||||||||||||||||

95 | Box and Whisker Plot | Whatâ€™s The Value of A College Major? | Paying for College, Value of College | ||||||||||||||||||||||||

96 | Data Chart | How Do Renters and Homeowners Insurance Compare? | Insurance, Renters, Homeowners | ||||||||||||||||||||||||

97 | Data Table | How Safe Do Consumers Feel When Using Mobile Payments? | Checking, Payment Methods | ||||||||||||||||||||||||

98 | Data Table | Are Stocks a Risky Long-Term Investment? | Taxes, Tax Brackets | ||||||||||||||||||||||||

99 | Data Table | What Are The Current Federal Tax Brackets? | Investing, Stocks | ||||||||||||||||||||||||

100 | Infographic | How Do Americans Get Health Insurance? | Checking, Checking account fees |

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