Grades: 9-12
Length: one or two semesters
Credit: 0.5 per semester
Prerequisite: Algebra 1
Algebra for Finance 1A/1B applies computational skills to real world consumer situations. The content includes: algebra, linear equations and inequalities, graphing, exponential growth, present and future value of money, interest (simple/compound), credit cards (credit scores, finance charges, deferred payments, etc.), mortgages (fees, points, expenses, interest, fixed/adjustable interest rates, balloon payments, etc.), personal budgets, cash management strategies, net worth calculations, debt payoff, tax forms with tax tables, insurance (options, fees, expenses, etc.), retirement plans (savings, IRA's, ROTH, annuities, etc.), and stocks (gains, losses, selling, preferred/common stock, bonds).
Students can take Algebra for Finance 1B without taking Algebra for Finance 1A.
(Recommended Order)
(Algebra for Finance 1A)
Discretionary Expenses
Banking Services
Consumer Credit
Automobile Ownership
Employment Basics
Income Taxes
(Algebra for Finance 1B)
Independent Living
The Stock Market
Modeling a Business
Planning for Retirement
Prepare a Budget
(Algebra for Finance 1A)
M1.9-12.1: The learner will write, apply, and provide a rationale for a mathematical model representing a given situation.
M1.9-12.2: The learner will interpret and use symbols to express relationships and justify reasoning when solving problems.
M2.9-12.1: The learner will justify how to apply properties of real number systems to variable expressions in a variety of contexts.
M3.9-12.1: The learner will use computational strategies and algorithms and provide rationale for their use.
M3.9-12.2: The learner will reason quantitatively when analyzing, representing, and solving problems.
M3.9-12.3: The learner will compare the effectiveness or logic of two plausible arguments or models.
M4.9-12.1: The learner will provide rationale for solving measurement problems that require making conversions among various units and measurement systems, or applying the effect of a scale factor.
M5.9-12.1: The learner will apply properties of arithmetic and algebra to simplify and manipulate symbolic expressions or models.
M5.9-12.2: The learner will write and apply algebraic modes to represent and answer questions about a given situation.
M5.9-12.3: The learner will interpret, analyze, and use relations and functions applied in a variety of contexts, including real-world phenomena.
M5.9-12.4: The learner will analyze relations and functions, using multiple representations.
M6.9-12.1: The learner will apply geometric theorems and postulates to solve problems, create arguments, and support their reasoning.
M7.9-12.1: The learner will formulate questions to clarify the problem at hand and formulate one (or more) questions that can be answered with data.
M7.9-12.3: The learner will summarize data using appropriate statistics.
M7.9-12.4: The learner will select appropriate graphical and numerical methods, and use these methods to represent the data in a way that supports interpretation.
M7.9-12.5: The learner will interpret descriptive statistics and linear models within the context of the data and the original question.
M7.9-12.6: The learner will apply probability concepts to analyze and evaluate potential decisions and strategies.
(Algebra for Finance 1B)
M1.9-12.1: The learner will write, apply, and provide a rationale for a mathematical model representing a given situation.
M1.9-12.2: The learner will interpret and use symbols to express relationships and justify reasoning when solving problems.
M2.9-12.1: The learner will justify how to apply properties of real number systems to variable expressions in a variety of contexts.
M3.9-12.1: The learner will use computational strategies and algorithms and provide rationale for their use.
M3.9-12.2: The learner will reason quantitatively when analyzing, representing, and solving problems.
M3.9-12.3: The learner will compare the effectiveness or logic of two plausible arguments or models.
M5.9-12.1: The learner will apply properties of arithmetic and algebra to simplify and manipulate symbolic expressions or models.
M5.9-12.2: The learner will write and apply algebraic modes to represent and answer questions about a given situation.
M5.9-12.3: The learner will interpret, analyze, and use relations and functions applied in a variety of contexts, including real-world phenomena.
M5.9-12.4: The learner will analyze relations and functions, using multiple representations.
M5.9-12.5: The learner will identify, build, and perform operations on relations and functions and justify their reasoning.
M6.9-12.3: The learner will create and use a formal geometric construction, using appropriate tools, to illustrate geometric properties.
M7.9-12.1: The learner will formulate questions to clarify the problem at hand and formulate one (or more) questions that can be answered with data.
M7.9-12.2: The learner will design and implement a plan to collect the appropriate data to answer the statistical question.
M7.9-12.3: The learner will summarize data using appropriate statistics.
M7.9-12.4: The learner will select appropriate graphical and numerical methods, and use these methods to represent the data in a way that supports interpretation.
M7.9-12.5: The learner will interpret descriptive statistics and linear models within the context of the data and the original question.
M7.9-12.6: The learner will apply probability concepts to analyze and evaluate potential decisions and strategies.
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M4 - Measurement: The learner will explain reasoning when applying and modeling geometric principles.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M2.9-12.1
M7.9-12.1
M7.9-12.3
M7.9-12.4
Discretionary & Essential Expenses:
Must be Covered:
The learner will:
Identify the difference between essential and discretionary expenses.
Determine the mean, median, and mode of a data set.
Use sigma notation to represent and determine the mean of a data set.
Create and interpret a frequency distribution table.
Can be Covered:
The learner will:
Determine the mean, median, and mode of a data set presented in a frequency distribution table.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-CED.4.
A-REI.1, F-IF.5.
F-LE.2, F-LE.1
Mathematical Practices
Make sense of problems and persevere in solving
them.
Reason abstractly and quantitatively.
Use appropriate tools
strategically.
M1.9-12.1
M2.9-12.1
M5.9-12.4
Travel Expenses:
Must be Covered:
The learner will:
Determine and interpret cumulative frequency.
Determine and interpret relative frequency.
Determine and interpret relative cumulative frequency.
Determine and interpret percentiles.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4
Mathematical Practices
Reason abstractly and
quantitatively
M1.9-12.1
M2.9-12.1
M5.9-12.4
Vacation Expenses:
Must be Covered:
The learner will:
Measure dispersion using standard deviation units.
Compute z-scores.
Find percentages using the normal curve.
Compute raw scores using z-scores.
AKSS
A-SSE.1, A-CED.2.
A-CED.4
Mathematical Practices
Use appropriate tools
strategically.
M4.9-12.1
M7.9-12.3
M7.9-12.4
M7.9-12.6
Personal Expenses:
Must be Covered:
The learner will:
Graph bivariate data.
Interpret patterns and trends based on data.
Construct a scatter plot.
Fit a linear regression equation to a scatter plot.
Determine the linear regression equation.
Find and interpret the correlation coefficient.
Make predictions based on lines of best fit.
AKSS
A-SSE.1, A-CED.1.
A-CED.4, A-REI.1.
A-REI.10, F-IF.5.
F-IF.6, F-IF.7.
F-LE.2, F-LE.1
Mathematical Practices
Reason abstractly and
quantitatively
Use appropriate tools
strategically.
Students plan their #1 bucket list vacation.
Guest speaker from a travel agency.
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M4 - Measurement: The learner will explain reasoning when applying and modeling geometric principles.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M1.9-12.1
M1.9-12.2
M2.9-12.1
Checking Accounts:
Must be Covered:
The learner will:
Explain how checking accounts work.
Complete a check register.
AKSS
A-SSE.1, A-CED.4
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.2
M5.9-12.1
Reconcile a Bank Statement:
Must be Covered:
The learner will:
Reconcile a checking account with a bank statement.
Can be Covered:
The learner will:
Reconcile a checking account with a bank statement using a spreadsheet.
AKSS
A-SSE.1, A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.1
Savings Account:
Must be Covered:
The learner will:
Define the basic vocabulary of savings accounts.
Compute simple interest using the simple interest formula.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-REI.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.2
M2.9-12.1
Explore Compound Interest:
Must be Covered:
The learner will:
Explain the concept of getting interest on your interest.
Compute compound interest using a table.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, F-LE.2
Mathematical Practices
Attend to precision.
M1.9-12.1
M2.9-12.1
Compound Interest Formula:
Must be Covered:
The learner will:
Understand the derivation of the compound interest formula.
Make computations using the compound interest formula.
AKSS
A-SSE.4, A-CED.2
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.1
M1.9-12.2
M2.9-12.1
Continuous Compounding:
Must be Covered:
The learner will:
Compute interest on an account that is continuously compounded.
AKSS
A-SSE.1., A-SSE.4.
A-CED.2
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.1
M1.9-12.2
M2.9-12.1
M5.9-12.1
Future Value of Investments:
Must be Covered:
The learner will:
Calculate the future value of a periodic investment.
Graph the future value function.
Interpret the graph of the future value function.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, F-IF.5.
F-IF.7, F-LE.2.
F-LE.1
Mathematical Practices
Reason abstractly and
Quantitatively. Attend to precision.
M1.9-12.2
M2.9-12.1
M5.9-12.1
Present Value of Investment:
Must be Covered:
The learner will:
Calculate the present value of a single deposit investment.
Calculate the present value of a periodic deposit investment.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2.
Mathematical Practices
Attend to precision.
M3.9-12.1
M3.9-12.3
The Term of a Single Deposit Amount:
Must be Covered:
The learner will:
Construct exponential and logarithmic models of a situation.
Evaluate logarithms.
Express exponential models as logarithms.
Demonstrate use of the change-of-base formula.
Evaluate common and natural logarithms.
AKSS
A-SSE.1, A-CED.4.
F-LE.2, F-LE.4.
F-LE.1
Mathematical Practices
Make sense of problems and persevere in solving
them. Use appropriate tools
strategically.
M3.9-12.1
M3.9-12.3
M4.9-12.1
Must be Covered:
The learner will:
Demonstrate use of the Change-of-Base Formula.
Explain and apply the One-to-One Property.
Explain and apply the Power Property.
Determine the term of systematic savings.
Determine the term of systematic withdrawal.
AKSS
A-SSE.1, A-CED.3.
A-CED.4.
Mathematical Practices
Use appropriate tools
strategically.
Guest speaker – banker or investment manager
Simulated bank reconciliation
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M4 - Measurement: The learner will explain reasoning when applying and modeling geometric principles.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M1.9-12.2
M2.9-12.1
Introduction to Consumer Credit:
Must be Covered:
The learner will:
Define basic credit terms.
Identify types of lending institutions.
Compute finance charges for installment purchases.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-REI.1
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.2
M3.9-12.2
M5.9-12.3
Loans:
Must be Covered:
The learner will:
Read monthly payments from a table.
Compute monthly payments using a formula.
Compute finance charges on loans.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2
Mathematical Practices
Make sense of problems and persevere in solving them. Attend to precision.
Use appropriate tools strategically.
M3.9-12.3
M5.9-12.3
Student Loans:
Must be Covered:
The learner will:
Explain the options available for student loans.
Calculate the interest due in various student loan situations.
Apply the simplified daily interest formula.
Can be Covered:
The learner will:
Learn about interest capitalization.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-REI.1
Mathematical Practices
Make sense of problems and persevere in solving
them. Reason abstractly and quantitatively
M1.9-12.2
M7.9-12.1
M7.9-12.4
Loan Calculations and Regression:
Must be Covered:
The learner will:
Determine the interest on a loan given the principle, time, and annual percentage rate (APR).
Use the logarithmic loan length formula to determine the term of a loan.
Use regression to determine the curve of best fit using data from a loan table.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.3.
A-CED.4, F-LE.2.
F-LE.1, F-LE.4
Mathematical Practices
Make sense of problems and persevere in solving
them. Reason abstractly and quantitatively
Use appropriate tools
strategically.
M1.9-12.2
M3.9-12.1
Credit Cards:
Must be Covered:
The learner will:
Define the basic vocabulary of credit cards.
Compute an average daily balance.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1., A-CED.2.
A-REI.1, F-IF.6
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.2
M3.9-12.1
Credit Card Statement:
Must be Covered:
The learner will:
Identify and use the various entries in a credit card statement.
AKSS
A-REI.1.
Mathematical Practices
Attend to precision.
M1.9-12.2
M3.9-12.1
M4.9-12.1
Average Daily Balance:
Must be Covered:
The learner will:
Calculate the average daily balance using the credit calendar.
Calculate the finance charge using the credit calendar.
Can be Covered:
The learner will:
Learn about negative amortization.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-REI.1.
Mathematical Practices
Attend to precision.
Use appropriate tools
strategically.
Compare credit card rates and benefits.
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M4 - Measurement: The learner will explain reasoning when applying and modeling geometric principles.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M6 - Geometry: The learner will solve problems involving spatial reasoning and model geometric concepts in applied contexts.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M1.9-12.1
M2.9-12.1
Automobile Ads:
Must be Covered:
The learner will:
Compute the cost of classified ads for used cars.
Compute the cost of sales tax on automobiles.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-REI.1.
Mathematical Practices
Attend to precision.
M7.9-12.3
M7.9-12.4
M7.9-12.5
Automobile Transactions:
Must be Covered:
The learner will:
Compute quartiles and interquartile range.
Create a frequency distribution from a set of data.
Use box-and-whisker plots and stem-and-leaf plots to display information.
Can be Covered:
The learner will:
Use a modified box plot.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.4.
F-IF.4, F-IF.5.
F-LE.2.
Mathematical Practices
Use appropriate tools
strategically.
M2.9-12.1
M7.9-12.5
Automobile Insurance:
Must be Covered:
The learner will:
Identify different types of auto insurance coverage.
Compute insurance costs.
Compute payments on insurance claims.
Can be Covered:
The learner will:
Learn about emergency road service insurance.
Learn about car rental insurance.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-CED.3.
A-CED.4, A-REI.1.
F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M7.9-12.3
M7.9-12.4
M7.9-12.5
M7.9-12.6
Probability – The Basis of Insurance:
Must be Covered:
The learner will:
Explain how to interpret two-way tables.
Compute conditional probabilities based on two-way tables.
Determine if two events are independent.
Interpret Venn diagrams.
Create Venn diagrams
AKSS
A-SSE.1, A-CED.2.
A-CED.4, F-IF.4.
F-LE.2
Mathematical Practices
Reason abstractly and
Quantitatively. Use appropriate tools strategically.
M1.9-12.2
Linear Automobile Depreciation:
Must be Covered:
The learner will:
Write, interpret, and graph a straight line depreciation equation.
AKSS
A-CED.1, A-REI.1.
A-REI.3, A-REI.10.
F-IF.6, F-LE.2
Mathematical Practices
Attend to precision.
M1.9-12.1
M1.9-12.2
M2.9-12.1
M3.9-12.1
M3.9-12.3
Historical and Exponential Depreciation:
Must be Covered:
The learner will:
Write, interpret, and graph and exponential depreciation equation.
Manipulate the exponential depreciation equation in order to determine time, original price, and depreciated value.
Can be Covered:
The learner will:
Learn about geometric sequences.
Learn about geometric progression.
AKSS
A-SSE.4, A-CED.2.
A-CED.3, A-CED.4.
F-IF.4, F-IF.7.
F-LE.2, F-LE.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Reason abstractly and quantitatively. Use appropriate tools strategically.
M4.9-12.1
Driving Data:
Must be Covered:
The learner will:
Write, interpret, and use the distance formula.
Use the formula for the relationship between distance, fuel economy, and gas usage.
Can be Covered:
The learner will:
Will learn about the currency exchange rate.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4.
F-IF.4, F-IF.6.
Mathematical Practices
Make sense of problems and persevere in solving
them.
M4.9-12.1
M5.9-12.2
Driving Safety Data:
Must be Covered:
The learner will:
Calculate reaction time and distance in the English Standard System.
Calculate and use the braking distance in both the English Standard and metric systems.
Calculate and use the total stopping distance in both the English Standard and metric systems.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-CED.4.
A-REI.1, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M4.9-12.1
M6.9-12.1
Accident Investigation Data:
Must be Covered:
The learner will:
Determine the minimum skid speed using the skid mark formula.
Determine the minimum skid speed using the yaw mark formula.
AKSS
A-SSE.1, A-CED.1.
A-CED.2, A-CED.4.
A-REI.1, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools strategically.
Guest speaker – insurance agent
Driver safety – Ask Cherokee Riders to talk with students about passing their driving tests.
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M4 - Measurement: The learner will explain reasoning when applying and modeling geometric principles.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M1.9-12.1
M2.9-12.1
Looking for Employment:
Must be Covered:
The learner will:
Compute periodic salary based on annual contract salary.
Interpret abbreviations in classified ads.
Express classified ad prices as piecewise functions.
AKSS
A-SSE.1, A-CED.1.
A-REI.1.
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.2
Pay Periods and Hourly Rates:
Must be Covered:
The learner will:
Compute weekly, semimonthly, and biweekly earnings given annual salary.
Compute hourly pay and overtime pay given hourly rate.
Compute annual salaries based on annual percentage increases.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.4, A-REI.1.
F-IF.4, F-IF.6.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M3.9-12.1
M4.9-12.1
Commissions, Royalties, and Piecework Pay:
Must be Covered:
The learner will:
Compute pay based on percent commission.
Compute piecework pay.
Explain advantages and disadvantages of pay based on production.
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-CED.4.
A-REI.1, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M5.9-12.2
M5.9-12.3
Employee Benefits:
Must be Covered:
The learner will:
Explain and calculate the value of certain employee benefits.
Can be Covered:
The learner will:
Learn about childcare leave
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-CED.4.
A-REI.1, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them.
M5.9-12.3
Social Security and Medicare:
Must be Covered:
The learner will:
Compute paycheck deductions for Social Security.
Compute paycheck deductions for Medicare.
AKSS
A-SSE.4, A-CED.1.
A-REI.1.
Mathematical Practices
Make sense of
problems and persevere in solving them.
Attend to precision.
Guest speaker – temp agency hiring manager
Invite car dealership to talk about commission
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M1.9-12.1
M2.9-12.1
Tax Tables, Worksheets, and Schedules:
Must be Covered:
The learner will:
Express tax schedules algebraically.
Compute federal income taxes using a tax table and tax schedules.
AKSS
A-SSE.1, A-SSE.4,
A-CED.1, A-CED.2.
A-REI.1.
Mathematical Practices
Attend to precision. Use appropriate tools strategically.
M3.9-12.3
Modeling Tax Schedules:
Must be Covered:
The learner will:
Construct income tax graphs using compound equations.
AKSS
F-LE.1.
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.1
M5.9-12.3
Income Statements:
Must be Covered:
The learner will:
Interpret and use the information on a pay stub, W-2 form, and 1099 form.
AKSS
A-SSE.1, A-CED.4.
Mathematical Practices
Attend to precision.
M1.9-12.1
M5.9-12.3
Forms 1040EZ and 1040A:
Must be Covered:
The learner will:
Complete Form 1040EZ.
Complete Form 1040A.
AKSS
A-SSE.1, A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.1
M5.9-12.3
Form 1040 and Schedules A and B:
Must be Covered:
The learner will:
File Form 1040 with itemized deductions.
Explain the difference between a tax credit and a tax deduction.
AKSS
A-REI.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision
Ask H&R Block to talk about tax season
TurboTax: Using TurboTax to Teach Tax Basics (https://www.intuit.com/partners/education-program/products/turbotax/)
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M6 - Geometry: The learner will solve problems involving spatial reasoning and model geometric concepts in applied contexts.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M1.9-12.1
M7.9-12.1
M7.9-12.2
M7.9-12.3
M7.9-12.4
M7.9-12.5
M7.9-12.6
Finding a Place to Live:
Must be Covered:
The learner will:
Calculate the affordability of a monthly rent.
Determine the relationship between square footage and monthly rent.
Determine lease signing costs.
Calculate moving expenses.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M6.9-12.3
Reading a Floorplan:
Must be Covered:
The learner will:
Compute the perimeter and the area of a polygon.
Compute areas of irregular regions.
Compute volumes of rectangular solids.
Can be Covered:
The learner will:
The Monte Carlo method.
AKSS
A-CED.1, A-CED.2.
A-CED.4, A-REI.1.
F-IF.4, G-GMD.3.
G-MG.2.
Mathematical Practices
Attend to precision. Use appropriate tools strategically.
M3.9-12.1
M3.9-12.2
Mortgage Application Process:
Must be Covered:
The learner will:
Compute the monthly cost of paying for a house.
Explain the research that is necessary before you purchase a home.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-REI.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.1
M3.9-12.3
Purchasing a Home:
Must be Covered:
The learner will:
Estimate closing costs.
Create an amortization table for a fixed-rate mortgage.
Create an amortization table for a fixed-rate mortgage with extra payments.
Investigate the amortization table for an adjustable-rate mortgage.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1
Mathematical Practices
Make sense of problems and persevere in solving
them. Use appropriate tools
strategically.
M3.9-12.2
Mortgage Points:
Must be Covered:
The learner will:
Calculate discount points for a mortgage.
Determine the breakeven time for discount points.
Calculate negative points.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, F-IF.5.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M3.9-12.3
Rentals, Condominiums, and Cooperatives:
Must be Covered:
The learner will:
Compute the costs of purchasing a cooperative or a condominium.
Explain the advantages and disadvantages of purchasing different types of homes.
Can be Covered:
The learner will:
Learn about landominium.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use Zillow (https://www.zillow.com/) to compare rent rates on places in Fairbanks and other areas.
Guest speaker: banker about mortgage points
Guest speaker: State Farm about renter’s insurance
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M1.9-12.1
M3.9-12.3
Business Organization:
Must be Covered:
The learner will:
State the basic vocabulary of business organizations.
Compute financial responsibility of business ownership based on ratios and percents.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.3.
A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them.
M1.9-12.2
M2.9-12.1
Stock Market Data:
Must be Covered:
The learner will:
Use stock data to follow the daily progress of a corporate stock.
Write spreadsheet formulas.
Can be Covered:
The learner will:
Learn about after-hours trading.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4.
Mathematical Practices
Reason abstractly and
quantitatively.
Use appropriate tools
strategically.
M2.9-12.1
M5.9-12.5
Stock Market Data Charts:
Must be Covered:
The learner will:
Interpret a stock bar chart.
Create a stock bar chart.
Interpret a stock candlestick chart.
Create a stock candlestick chart.
AKSS
A-SSE.1, A-REI.10.
F-IF.5, F-IF.7.
Mathematical Practices
Construct viable arguments and critique the reasoning
of others. Reason abstractly and quantitatively Use appropriate tools strategically.
M2.9-12.1
M7.9-12.3
Trends in Stock Closing Prices:
Must be Covered:
The learner will:
Explain how data is smoothed.
Calculate simple moving averages using the arithmetic average formula.
Calculate simple moving averages using the subtraction and addition method.
Graph simple moving averages using a spreadsheet.
Can be Covered:
The learner will:
Learn about regression analysis.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-REI.1, A-REI.10.
F-IF.5, F-IF.6.
F-IF.7, F-LE.2.
Mathematical Practices
Make sense of problems and persevere in solving
them. Reason abstractly and
quantitatively. Use appropriate tools strategically.
M3.9-12.2
Stock Market Ticker:
Must be Covered:
The learner will:
Explain stock market ticker information.
Determine the total value of a trade from ticker information.
Determine trade volume from ticker information.
AKSS
A-SSE.1, A-CED.1.
A-REI.1.
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.2
M2.9-12.1
Stock Transactions:
Must be Covered:
The learner will:
Define the basic vocabulary of buying and selling shares of stock.
Compute gains and losses from stock trades.
Can be Covered:
The learner will:
Learn about odd lot.
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-REI.1
Mathematical Practices
Reason abstractly and
Quantitatively. Use appropriate tools
strategically.
M1-9-12.1
Stock Transaction Fees:
Must be Covered:
The learner will:
Compute the fees involved in buying and selling stocks.
Define the basic vocabulary of stock trading.
AKSS
A-CED.1, A-CED.3.
A-REI.1.
Mathematical Practices
Attend to precision.
M1.9-12.1
M3.9-12.2
Stock Splits:
Must be Covered:
The learner will:
Calculate the post-split outstanding shares and share price for a traditional split.
Calculate the post-split outstanding shares and share prices for a reverse split.
Calculate the fractional value amount that a shareholder receives after a split.
Can be Covered:
The learner will:
Learn about penny stocks.
AKSS
A-SSE.1.
A-SSE.4.
A-CED.1.
A-CED.2.
A-CED.3.
A-REI.1.
Mathematical Practices
Attend to precision.
Use appropriate tools
strategically.
M3.9-12.2
Dividend Income:
Must be Covered:
The learner will:
Understand the concept of shareowners splitting the profit of the corporation they own.
Compute dividend income.
Compute the yield for a given stock.
Compute the interest earned on corporate bonds.
AKSS
A-SSE.1.
A-SSE.4.
A-CED.1.
A-CED.2.
A-REI.1.
Mathematical Practices
Make sense of
problems and
persevere in solving
them.
Play the stock market game against other schools in Alaska and worldwide (https://www.stockmarketgame.org).
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M5.9-12.5
M7.9-12.6
Inventions:
Must be Covered:
The learner will:
Describe how to choose sample subjects without bias.
Use a random number table.
Explain methods used to reduce bias in experiments.
Create diagrams for experimental designs.
AKSS
A-CED.2, F-IF.5,
F-IF.7, F-LE.2.
Mathematical Practices
Look for and make use of structure. Reason abstractly and quantitatively. Use appropriate tools strategically.
M5.9-12.1
M7.9-12.3
Market Research:
Must be Covered:
The learner will:
Compute combinations.
Compute unbiased estimators.
Determine if a statistic is biased or unbiased.
Critique sampling techniques.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4.
Mathematical Practices
Look for and express
regularity in repeated reasoning. Reason abstractly and quantitatively. Use appropriate tools strategically.
M3.9-12.2
Supply and Demand:
Must be Covered:
The learner will:
Describe the slopes of the supply and demand curves.
Find points of equilibrium.
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-CED.3.
A-CED.4, A-REI.1.
A-REI.3, A-REI.11, F-IF.4, F-IF.7, F-IF.5, F-LE.2.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M1.9-12.1
M2.9-12.1
Fixed and Variable Expenses:
Must be Covered:
The learner will:
Explain the difference between fixed and variable expenses.
Create an expense equation based on fixed and variable expenses.
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-CED.3.
A-CED.4, A-REI.1.
A-REI.3, F-IF.4
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M5.9-12.4
Graphs of Expense and Revenue Functions:
Must be Covered:
The learner will:
Write, graph, and interpret the expense function.
Write, graph, and interpret the revenue function.
Identify the points of intersection of the expense and revenue functions.
Identify breakeven points, and explain them in the context of the problem.
Factor a quadratic using the method of completing the square.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, A-REI.3.
A-REI.11, F-IF.4.
F-IF.7, F-LE.2, F-LE.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M5.9-12.1
M5.9-12.2
M5.9-12.3
M5.9-12.4
M5.9-12.5
Breakeven Analysis:
Must be Covered:
The learner will:
Determine the breakeven prices and amounts using technology or algebra.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, A-REI.11.
F-IF.4, F-LE.2.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M3.9-12.1
M3.9-12.3
The Profit Equation:
Must be Covered:
The learner will:
Determine a profit equation given the expense and revenue equations.
Determine the maximum profit and the price at which that maximum is attained.
Determine complex roots of a quadratic equation.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.3.
A-CED.4, A-REI.11.
F-IF.4, F-LE.2, F-LE.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M1.9-12.1
M1.9-12.2
M2.9-12.1
M3.9-12.1
M3.9-12.3
Mathematically Modeling a Business:
Must be Covered:
The learner will:
Recognize the transitive property of dependence as it is used in a business model.
Use multiple sources of information, functions, and methodologies to model a new business.
AKSS
A-SSE.1, A-CED.3.
A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Use appropriate tools
strategically.
M3.9-12.1
M3.9-12.3
M7.9-12.5
Optimal Outcomes:
Must be Covered:
The learner will:
Use linear programming.
Write an objective function.
Construct a feasible region given constraints.
Maximize an objective profit function.
Minimize an objective expense function.
AKSS
A-SSE.4, A-CED.1.
A-CED.2, A-CED.3.
A-CED.4, A-REI.1.
A-REI.3, A-REI.11.
F-IF.5, F-LE.2.
Mathematical Practices
Make sense of problems and persevere in solving
them. Use appropriate tools
strategically.
Guest speaker: Pagoda restaurant or Santa Claus House
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M7 – Data, Analysis, Probability, and Statistics: The learner will apply statistical methods to summarize, represent, analyze, and interpret data.
M1.9-12.1
M1.9-12.2
Retirement Income from Savings:
Must be Covered:
The learner will:
Calculate the future values of retirement investments that are both single deposit and periodic.
Compare the tax savings by making contributions to pre-tax retirement savings accounts.
Calculate an employer’s matching contribution to a retirement account.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.3.
A-CED.4, F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Use appropriate tools
strategically.
M1.9-12.2
Social Security Benefits:
Must be Covered:
The learner will:
Understand the benefits paid by Social Security.
Understand how benefits are computed.
Compute federal income tax on benefits that are paid under Social Security.
AKSS
A-SSE.1, A-SSE.4.
A-CED.2, A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M1.9-12.1
M1.9-12.2
Pensions:
Must be Covered:
The learner will:
Calculate pension benefits using various formulas.
Calculate pension benefits during and after vesting periods.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4.
F-IF.4.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M1.9-12.2
Life Insurance:
Must be Covered:
The learner will:
Compute the cost of different types of life insurance.
State the advantages and disadvantages of different types of life insurance.
AKSS
A-SSE.1, A-CED.1.
A-CED.4, A-REI.1.
Mathematical Practices
Use appropriate tools
strategically.
M1.9-12.1
M1.9-12.2
M7.9-12.1
M7.9-12.2
M7.9-12.3
Investment Diversification:
Must be Covered:
The learner will:
Compare different types of investments that were covered throughout the previous nine units.
AKSS
A-CED.4.
Mathematical Practices
Make sense of problems and persevere in solving
them.
Bring in a speaker from the local funeral home to talk about the cost of a western civilization funeral, and bring in someone to talk about the cost for an Alaska Native wake.
M1 – Symbolic Expression: The learner will be able to reason abstractly and utilize symbolic expressions and mathematical models.
M2 – Numbers and Number Systems: The learner will develop an applied knowledge of numbers and number systems to solve problems.
M3 – Reasoning and Strategic Thinking: The learner will use evidence to support authentic application of concepts and support mathematical arguments.
M5 – Algebraic Functions, Patterns and Relations: The learner will utilize patterns, relations, and functions to compare, interpret, and analyze situations.
M1.9-12.2
M2.9-12.1
Utility Expenses:
Must be Covered:
The learner will:
Compute the cost of electricity, gas, oil, and water for the home.
Compute the cost of using specific appliances for specific lengths of time.
Compute the time it takes an energy-saving appliance to pay for itself.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, A-REI.3.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
M1.9-12.2
Electronic Utilities:
Must be Covered:
The learner will:
Compute the cost of cell phone calls, text messaging, Internet service, and cable television.
Compare different plans for these services.
Set up, graph, and interpret an average cost function.
AKSS
A-SSE.1, A-SSE.4.
A-CED.1, A-CED.2.
A-CED.3, A-CED.4.
A-REI.1, A-REI.3.
A-REI.10, F-IF.4.
F-IF.6, F-IF.7, F-LE.2.
F-LE.1.
Mathematical Practices
Make sense of problems and persevere in solving
them. Attend to precision.
Use appropriate tools
strategically.
M1.9-12.2
M2.9-12.1
M5.9-12.4
Charting a Budget:
Must be Covered:
The learner will:
Create and use a budget check-off chart.
Visualize and interpret a budget using a circle graph, a bar graph, a line graph, and a budget line graph.
AKSS
A-SSE.1, A-CED.4.
A-REI.3, A-REI.10.
F-IF.4, F-IF.5, F-IF.7.
F-LE.2.
Mathematical Practices
Use appropriate tools
strategically
M1.9-12.2
M3.9-12.3
M3.9-12.2
M5.9-12.4
Cash Flow and Budgeting:
Must be Covered:
The learner will:
Develop and interpret a cash flow chart.
Develop and interpret a frequency budget plan.
Develop and interpret a yearlong expense budget plan.
AKSS
A-SSE.1, A-CED.1.
A-CED.4, A-REI.1.
F-IF.4, F-LE.2.
Mathematical Practices
Make sense of problems and persevere in solving
them. Reason abstractly and
quantitatively. Use appropriate tools
strategically.
M1.9-12.2
M3.9-12.3
M3.9-12.2
M5.9-12.4
M5.9-12.5
Budget Matrices:
Must be Covered:
The learner will:
Determine the dimension of a matrix.
Add, subtract, and multiply matrices.
Multiply a matrix by a scalar.
AKSS
A-SSE.1, A-CED.2.
A-CED.3, A-CED.4.
F-IF.4, F-LE.2.
Mathematical Practices
Reason abstractly and
Quantitatively. Attend to precision. Use appropriate tools strategically.
Next Gen Personal Finance (NGPF) budgeting activities: https://www.ngpf.org/curriculum/budgeting/activities
MoneyInstructor.com budgeting planning and budgeting lessons: https://www.moneyinstructor.com/budgeting.asp