Advanced Algebra with Financial Applications

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Advanced Algebra with Financial Applications Course Number 1200500 Lake County Schools Curriculum Map 2011-2012 Advanced Algebra with Financial Applicatons Lake County Schools Page 1 of 44

Transcript of Advanced Algebra with Financial Applications

Page 1: Advanced Algebra with Financial Applications

Advanced Algebra with Financial Applications

Course Number 1200500

Lake County Schools Curriculum Map

2011-2012 Advanced Algebra with Financial Applicatons Lake County Schools

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PREFACE Teams of Lake County teachers created the curriculum maps in order to ensure that all students throughout the district receive a common curriculum. The maps help ensure that all state requirements are taught and that the content is divided into teachable segments with appropriate pacing. The curriculum maps will guide your instruction but provide flexibility based on the individual needs of students. The maps are living documents and feedback is requested of teachers to ensure continuous improvement. All teachers are expected to use the curriculum maps, in conjunction with data, to drive instruction. The maps were designed for the instruction to take place by quarter. There is some flexibility within the quarters for mastery and re-teaching. The expectation is that teachers will finish the content within each quarter in its entirety. The maps have been structured in such a way as to scaffold student learning. Listed below are a few of the new or updated features common to all curriculum maps: Essential Question(s):

o Provide application of the skills/concepts o Have more than one right answer which promotes student discourse o Increase the rigor in the classroom, by changing from teacher-centered to student-centered learning o Are referred to at the beginning, middle, and end of the lesson o Require you to make a decision o Promote critical thinking and problem solving o Encourage interdependence o Are open-ended

Academic Vocabulary are:

o Unfamiliar vocabulary that are essential to understanding new content within explicit instruction o Not necessarily the bold words in the chapter. o Cumulative and continuously used throughout the year. o Integrated into word walls, a research-based strategy that will facilitate vocabulary acquisition.

Common Board Configuration Elements (specific layouts may vary by sites, but must include each of these): Purpose: For the student to know what is being taught and what the student will learn

o Date o Benchmark o Measurable, student-friendly objective o Essential Question o Bell work o Agenda (Specific daily schedule) o Homework o Exit Strategy/Card

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Lessons that infuse reading, writing, and discussion are imperative components of every subject area. There should be daily: o Teacher to student and student to student discourse utilizing academic vocabulary. o Reading and authentic writing o Writing that includes higher-order thinking o Incorporation of effective reading and writing instructional strategies

Maps are organized to include the following:

o Pacing o Objective o Essential questions, content and understanding, benchmarks, and assessment o Appendix/ resources

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Advanced Algebra with Financial Applications

Next Generation Sunshine State Standards

Math Benchmark Coding Scheme

MA. 5. A. 1. 1

Subject Grade Level Body of Knowledge Big Idea / Supporting Idea Benchmark

Body of Knowledge Key

A ~ Algebra G ~ Geometry

C ~ Calculus P ~ Probability

D ~ Discrete Mathematics S ~ Statistics

F ~ Financial Literacy T ~ Trigonometry

The following benchmarks should be integrated throughout the year as a means to provide more depth of understanding of this math content. MA.912.A.2.1 Create a graph to represent a real-world situation. MA.912.A.2.2 Interpret a graph representing a real-world situation. MA.912.S.3.1 Read and interpret data presented in various formats. Determine whether data is presented in appropriate

format, and identify possible corrections. See the course description later in curriculum map to see a list of all the different formats.

MA.912.T.5.1 Use a variety of problem-solving strategies, such as drawing a diagram, guess-and-check, solving a simpler problem, examining simpler problems, and working backwards, using technology when appropriate.

MA.912.T.5.2 Decide whether a solution is reasonable in the context of the original situation.

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Advanced Algebra with Financial Applications

Differentiated Instruction Strategies

The following differentiated instruction strategies should be incorporated throughout the entire course:

Cooperative Groups Computer Assisted Instruction Tiered Assignments Centers Flexible Grouping Curriculum Compacting/Contracts Learning Stations Scaffolding Hands-on Instruction Leveled Texts/Resources Teacher Led Small Groups Web Quest

The following benchmarks should be integrated throughout the year. LA.1112.3.1.3 The students will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet,

outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style.

LA.910.1.6.1 The student will use new vocabulary that is introduced and taught directly.

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Reading Writing Discussion in the classroom everyday (50% RWD)

This means that during each class period the students should be reading, writing, and/or talking about Math for 50% of the time. Many of these overlap incorporating a combination of reading, writing, and discussion.

Reading Writing Discussion in the Math Classroom: What do these look like in the Math classroom?

What does the READING process look like?

• Modeling - reading and thinking out loud • Students in small groups or pairs • Whole group when referring to a specific portion of the text • Use of graphic organizers • Incorporation of word wall activities/vocabulary strategies • Reading word problems and translating to mathematical problem by analyzing key vocabulary words

What does the WRITING process look like?

• Journal writing • Literacy logs • Student created word problems • Written responses to word wall

activities • Written answer to essential questions • Cornell Notes • Summarizing hands-on activities • Exit cards

• Writing the steps needed to work a problem

• Quick writes • Three-column vocabulary • Graphic Organizers • Cartoons • Question stems • Math poems, jingles, or raps • Student created math stories • Reports

What does the DISCUSSION process look like?

• Student discourse – discussion among and between the students. (Could be in small group, pair share, hands-on activity)

• Student to teacher discourse - responses to open ended questions, essential questions, higher order thinking prompts, etc.

• Imbedding vocabulary terms/word wall, academic vocabulary, into the discussion

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Advanced Algebra with Financial Applications Pacing Guide

Quarter 1

Present Quarter 2

Near Future Quarter 3

Future Quarter 4

Distant Future I. Develop a Financial Plan – (1 week)

A. Use Decision Making Process B. Identify Guidelines C. Monitor/Modify a Personal Plan

II. Develop a Financial Budget (1 week) A. Explain Building Budgets B. Examine Forms of Record

Keeping C. Propose Your Budget D. Net Worth

III. Applications of Graphs – (1 week) A. Linear Equations and

Inequalities B. Systems of Equations C. Systems of Inequalities D. Statistical Graphs

Measures of the Center Applications

IV. Financial Math Models – (1.5 weeks) A. Checking Accounts B. Debit Cards C. Savings Accounts D. Examine the Various Types of

Financial Service Providers E. List Factors to Consider When

Shopping for Bank Services F. Calculate Present Value G. Calculate Future Value H. Simple Interest

IV. Finish Financial Math Models (1 week) I. Compound Interest

V. Credit – (2 weeks) A. Pros/Cons of Using Cash B. Pros/Cons of Credit C. Analyze Credit Scores D. Calculate Finance Charges

for Credit Cards E. Calculate Costs for Car

Loan F. Calculate Installment

Loan (Furniture) G. Compute Deferred

Payment H. Plan to Pay Off Debt

VI. Investments – (1.5 week) A. Common Stocks B. Preferred Stocks C. Bonds D. Current Exchange Rates E. Analyze Diversification

VII. Income Taxes (2 weeks) A. Taxpayer Responsibilities B. Form W-4 C. Form W-2 D. Using Tax Tables E. Calculate and Complete

Form 1040EZ F. Calculate and Complete

Form 1040A G. Calculate and Complete

Form 1040

VIII. Insurance – (1.5 weeks) A. Insurance as a Device to

Mitigate Risk? B. Auto Insurance C. Health Insurance D. Life Insurance E. Homeowners’ Insurance

IX. Retirement – (1 week)

A. Connecting Career to Earning Potential

B. ROTH Accounts C. 401K Accounts D. Annuities

X. Mortgages – (3 weeks) A. Calculate Fees B. Calculate Fixed Rate

Mortgages C. Calculate Adjustable Rate

Mortgages D. Calculate Balloon

Mortgages E. Compare Mortgages F. Interest Rate & Points G. Compare Interest Rate

Calculations v. Annual Percentage Rate

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Advanced Algebra with Financial Applications Curriculum Map Unit I: Develop a Financial Plan – 1 week Objectives - Use the decision making process to create a personal financial plan. Vocabulary – SMART Goals, Decision-making Process, Financial Planning, Needs, Wants, Short-term Goals, Long-term Goals, Income, Opportunity Costs

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment How will a financial plan contribute to life long goal achievement?

A. Use Decision Making Process B. Identify Guidelines

1. Examine the value of having a process of planning how to use money

2. Create SMART goals 3. Analyze how money is

received and used C. Monitor/Modify a Personal Plan

1. Use the decision-making process to create a financial plan

2. Identify how to implement the plan

3. Evaluate the financial plan

LA.1112.3.1.3 LA.910.1.6.1

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit II: Develop a Financial Budget – 1 Week Objectives – Create and modify a financial budget that supports your personal and financial goals. Determine net worth from a list of assets and liabilities. Vocabulary – Budget, Fixed Expense, Variable Expense, Net Worth, Financial Goals, Gross Income, Net Income

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Why is important to have a personal budget plan? What is the difference between a fixed and a variable expense? Why is it important to be able to modify a personal budget plan? What is the value of knowing net worth?

A. Explain Building Budgets 1. Identify and prioritize Financial goals 2. Understand what it means to budget to achieve a financial goal B. Examine Forms of Record Keeping 1. Work with a budgeting sheet 2. Compare planned expenses with actual expenses C. Propose Your Budget

1. Create and maintain a personal budget that supports your personal and financial goals

2. Modify a personal budget to accommodate changes

D. Determine net worth

MA.912.F.4.1 MA.912.F.4.3

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit III: Application of Graphs – 1 week Objectives – Graph financial applications as linear equations and inequalities.

Graph financial applications as system of equations and inequalities. Determine and draw the appropriate statistical graph to best represent the financial situation.

Apply the measures of center to financial applications. Vocabulary – Optimization, Bar Graph, Line Graph, Circle Graph, Stem and Leaf Plot, Box and Whisker Plot, Ogive Graph, Histogram, Scatter plot, Mean, Median, Mode, Range

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Simple or compound interest? Can I represent optimization of financial situations with systems of linear inequalities? Which statistical graph is the best representation for a particular financial situation?

A. Linear Equations and Inequalities B. Systems of Equations C. Systems of Inequalities D. Statistical Graphs

1. Bar graph 2. Line graph 3. Stem and leaf plots 4. Circle graph 5. Histogram 6. Box and whisker plots 7. Scatter plots 8. Cumulative frequency (ogive)

graphs E. Apply Measures of the Center

MA.912.A.3.5 MA.912.A.3.15 MA.912.S.3.1 MA.912.S.3.3

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit IV: Financial Math Models – 2.5 weeks (1.5 weeks in first quarter and 1 week to finish up in the second quarter) Objectives - Understand the services offered by financial institutions

Write checks, deposit slips, and reconcile bank statements Utilize formulas to determine the present and future value of money Solve simple and compound interest problems

Determine how simple interest relates to linear growth and how compound interest relates to exponential growth Use recursive and iterative models to solve finance problems

Vocabulary - Checks, Deposits, Debit, Credit, Checking Account, Savings Account, Reconcile Statements, Present Value, Future Value, Rule of 72, Saving, Investing, Simple Interest, Compound Interest, Linear Growth, Exponential Growth, Growth Factor, Recursive, Iterative, Exponential Decay, Decay Factor, Natural Base e, Logarithm, Common Logarithm, Natural Logarithm, Logarithmic Equation, Logarithmic Function

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment What information is needed in order to maintain a checking account? Why use a debit card instead of a check? Why do I need to put any money in a savings account instead of just hiding it in my room? Does it really matter which bank I use?

A. Checking Accounts 1. Write checks 2. Write deposits 3. Reconcile statements 4. Understand the responsibility of

having a checking account B. Debit Cards

1. Describe what a debit card is and how it works

2. Explain the features of automated financial services

C. Savings Accounts 1. Explain how a savings account

works D. Examine the Various Types of Financial Service Providers E. List Factors to Consider When Shopping for Bank Services

MA.912.F.4.2

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms. Formal:

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What does it mean to find the present value of money? Why do I need to know how to find the future value of money? Why can’t all interest problems be calculated using simple interest? How can compound interest change my rate of return?

F. Calculate Present Value of Money 1. Understand the concept of present

value 2. Find the present value of money

using the appropriate formula G. Calculate Future Value of Money

1. Understand the concept of future value of money

2. Use the Rule of 72 3. Differentiate between saving and

investing 4. Recommend ways to integrate

savings and investing strategies into financial planning

5. Compare the relationship between risks and returns related to savings and investments

6. Find the future value of money using the appropriate formula

H. Simple Interest 1. Compare and contrast

the difference between simple interest and compound interest

I. Compound Interest 1. Exponential growth

a. Solve compound interest using a formula

b. Solve applications of exponential growth and decay in real world problems 2. Logarithmic applications

MA.912.F.2.2 MA.912.F.2.1 MA.912.F.1.1 MA.912.F.1.2 MA.912.F.1.4 MA.912.A.2.1 MA.912.A.2.2 MA.912.A.8.7

Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms. Formal:

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What type of interest is a financial problem using if the graph is a straight line or a curve? Why does your money grow faster in a curved graph?

a. Evaluate logarithmic expressions b. Write logarithmic equations in exponential form c. Use properties of logarithms to expand and vice versa d. Use logarithms to solve exponential equations e. Solve equations using natural logarithms f. Solve financial applications using logarithmic functions 3. Graphical representations

a. Demonstrate the relationship of simple interest to linear growth

b. Explain why the graph for compound interest is a curve

c. Graph exponential models d. Graph logarithmic functions

MA.912.D.1.1 MA.912.F.1.3 MA.912.A.3.5 MA.912.F.1.4

Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map

Unit V: Credit – 2 weeks Objectives: Discover the financial obligations of using a credit card. Determine the finance charges and total amount due for credit cards. Analyze the total costs for a car loan and installment loans using a formula. Determine which deferred payment is really the most economical with different terms. Establish a plan to pay off debt. Vocabulary - Application, Credit Worthiness, Credit History, Finance Charges, Interest Rate, Annual Percentage Rate, Down Payment, Deferred Payment, Bankruptcy

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Why shouldn’t a person have as many credit cards as they want? Will my credit score be good if I have never bought anything on credit before? Why shouldn’t I just pay the minimum balance due on my credit card bill each month?

A. Pros/Cons of Using Cash B. Pros/Cons of Credit

1. List three types of credit card accounts and explain the uses and payment methods of each

2. Understand how to shop for a credit card

C. Analyze Credit Scores 1. Outline the process of applying

for credit 2. Understand credit worthiness 3. Explain what a credit history is

and why it is important 4. Explain the differences in scores

for the three main credit reporting agencies

5. Explain how to manage credit responsibly

D. Calculate Finance Charges 1. Read and interpret a credit card

statement 2. Calculate finance charges and

total amount due 3. Compare interest rate

calculations

MA.912.F.3.1 MA.912.F.4.2 MA.912.F.3.2 MA.912.F.3.3 MA.912.F.3.17

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms. Formal:

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Advanced Algebra with Financial Applications Curriculum Map

Is the total price you will end up paying for your car really worth it? If the only way I can afford to buy big items is through a loan how can I pay the loan off the fastest? Is it really a good deal to buy now and pay later? What does it really hurt if I get into debt and just declare bankruptcy to wipe my record clean?

and annual percentage rate calculations to distinguish between the two rates 4. Understand how to handle

billing errors E. Calculate Costs for Car Loan

1. Given a budget, decide how much you can afford to pay for a car

2. Given a budget, decide how much money can safely be spent each month to operate a car

3. Calculate the total costs for various car loans

F. Calculate Total Cost Over Time for Installment Loans (Furniture)

1. Use different down payments 2. Use different financing options 3. Use different fees

G. Compute Deferred Payments for Various Payment Options H. Plan to Pay Off Debt

1. Describe some of the ways you can get in trouble using credit

2. Explain the first steps to take if you can’t pay your bills on time

3. Explore the consequences of excessive debt

4. Determine a safe debt load 5. Understand the disadvantages of

bankruptcy as a solution to debt.

MA.912.F.3.6 MA.912.F.3.6 MA.912.F.3.4, MA.912.F.3.5 MA.912.F.4.4

Chapter Test Vocabulary Test Mini-quizzes

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Advanced Algebra with Financial Applications Curriculum Map Unit VI: Investments – 1 week Objectives - Convert from one form of currency to another using exchange rate.

Compare and contrast income from various stock options. Analyze diversifications in investments.

Determine gains and losses based on stock ownership. Vocabulary – Currency, Current Exchange Rates, Common Stock, Preferred Stocks, Bonds, Diversification, Dividends

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Which investment option runs the greatest risk of loosing money? How about making money? How do you determine how many American dollars something will cost in a foreign country?

A. Common Stocks 1. Purchase stock with a set amount

of money and follow the process through gains, losses, and selling

B. Preferred Stocks 1. Understand the difference for

dividends and selling preferred stock versus common stock

C. Bonds 1. Understand the difference with

interest rates D. Current Exchange Rates E. Analyze Diversification

1. Understand the relationship between risk and reward

2. Understand the advantages and disadvantages of different investment options

MA.912.F.4.11, MA.912.F.4.12 MA.912.F.4.12 MA.912.F.4.12 MA.912.F.4.13 MA.912.F.4.10, MA.912.F.4.11

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit VII: Taxes – 2 Weeks Objectives – Complete tax employment forms. Use tax tables to calculate and complete 1040 tax forms. Vocabulary- Federal Personal Income Tax, FICA, Social Security, Medicare, State Tax, Exemption, Deduction, Tax Table

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment What is a taxpayer Responsibility? What are payroll taxes? What employment forms are tax related? What is a tax table? What is a Form 1040EZ and who would use it? What is a Form 1040A and who would use it?

A. Taxpayer Responsibilities 1. Identify the programs supported by the federal personal income tax 2. Identify the two types of FICA payroll taxes a. Social Security b. Medicare B. Complete Form W-4 C. Complete Form W-2 D. Using Tax Tables 1. Read a tax table 2. Apply a tax table to a scenario E. Calculate and complete Form

1040EZ 1. Determine if a 2. Form 1040EZ is appropriate. 3. Complete a Form

1040EZ F. Calculate and complete Form

1040A 1. Determine if a Form1040A is appropriate

MA.912.F.4.5 Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms Formal: Chapter Test Vocabulary Test Mini-quizzes

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What is a Form 1040 and who would use it?

2. Complete Form 1040A G. Calculate and complete Form 1040 1. Determine if a Form 1040 is appropriate

2. Complete a Form 1040

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Advanced Algebra with Financial Applications Curriculum Map Unit VIII: Insurance – 1.5 weeks Objectives – Given data calculate the cost of various insurance policies. Vocabulary- Insurance, risk, deductible, liability, premium, claim, comprehensive, collision, negligent, dependents, term insurance, whole life insurance, accidental death insurance

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Why bother paying for insurance? What fees and payouts do I need to understand on different insurance policies?

A. Insurance as a Devise to Mitigate Risk?

1. Identify ways to reduce and manage risk

2. List various reasons why you need insurance

3. Determine how insurance fits your financial plan

B. Auto Insurance C. Health Insurance D. Life Insurance E. Homeowners’ Insurance

MA.912.F.4.7 MA.912.F.4.6

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit IX: Retirement – 1 week Objectives – Understand the relationship between career choice and earning potential by identifying factors that effect future earnings. Calculate potential savings through different retirement options based on account conditions. Vocabulary – ROTH Account, 401K Account, Annuities

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment Why worry about saving for retirement when you are starting out in the career world? Which plan should I sign up for at my new job and why?

A. Connecting Career to Earning Potential

1. Compare/contrast education and earning potential

2. Determine how employment benefits enhance earning potential

3. Identify factors that affect earning potential and financial planning

4. Look ahead for your financial future B. ROTH Accounts

1. What makes these different? 2. Calculate different retirement

options within this category. C. 401K Accounts

1. What makes these different? 2. Calculate different retirement

options within this category. D. Annuities

1. What makes these different? 2. Calculate different retirement

options within this category.

MA.912.F.4.8 MA.912.F.4.9 MA.912.F.4.9 MA.912.F.4.9

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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Advanced Algebra with Financial Applications Curriculum Map Unit X: Mortgages – 3 Weeks Objectives – Utilize formulas to calculate mortgages and closing cost fees. Compare and contrast different types of mortgages based on interest rates, monthly payments, and final costs. Vocabulary- Brokerage fee, Origination fee, discount points, document stamps, prorated expenses, settlement costs, fixed rate, adjustable rate mortgages, balloon mortgage, APR

Essential Questions Essential Content and Understandings Essential Skills & Benchmarks Assessment What effect do closing costs have on the total amount paid? Which mortgage type works best?

A. Calculate Fees 1. Introduce Mortgage Settlement Costs

2. Calculate Settlement Costs a. Discount points

b. Origination fee c. Maximum brokerage fee

on net or gross loan d. Documentary stamps e. Prorated Expenses

3. Use Settlement Forms B. Calculate Fixed Rate Mortgages 1. Introduce Fixed Rate Mortgages

2. Calculate Fixed Rate Mortgages

C. Calculate Adjustable Rate Mortgages (ARM) 1. Introduce ARMs 2. Calculate ARMs

D. Calculate Balloon Mortgages 1. Introduce Balloon Mortgages

2. Calculate Balloon Mortgages E. Compare Mortgages

1. Fixed Rate to ARM

MA.912.F.3.7

MA.912.F.3.9

MA.912.F.3.13 MA.912.F.3.10

MA.912.F.3.11

MA.912.F.3.14

Formal: Chapter Test Vocabulary Test Mini-quizzes Informal: Check for understanding with the use of 5-minute checks Word Wall activity: Use writing strategies to display the connection between the various vocabulary terms.

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2. Fixed Rate to Balloon 3. ARM to Balloon

F. Compare Interest Rates & Points G. Compare Interest Rate Calculations v. APR

MA.912.F.3.12 MA.912.F.3.17

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Advanced Algebra With Financial Applications Curriculum Map Appendix

• Scope and Sequence Correlated to Financial Algebra Textbook,

NEFE Workbook and Lake County Resources • Electronic Resource Materials List • Scope and Sequence Optional Additional Resource Materials • State Approved Course Description

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Advanced Algebra with Financial Applications

Scope and Sequence Correlated to the Financial Algebra textbook, NEFE Workbook and Lake County Resources

If a resource is listed at the top with the unit title, it should be used throughout the unit.

Throughout chapters please be aware that reality checks at the beginning of each chapter should be used as lead-ins in order to incorporate reading and writing in mathematics. Real-world projects in the back of each chapter also incorporate reading and

writing as well as provide an opportunity for application of mathematics skills learned in the chapter.

Topic Chapter: Sections Benchmark

I. Develop a Financial Plan LA.1112.3.1.3 LA.910.1.6.1

A. Use Decision Making Process NEFE Unit 1

B. Identify Guidelines NEFE Unit 1

C. Monitor/Modify a Personal Plan NEFE Unit 1 1. Utility Expenses 10.1 2. Electronic Utilities 10.2

3. Charting A Budget 10.3

4. Cash Flow and Budgeting 10.4

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II. Develop a Financial Budget

A. Explain Building Budgets NEFE Unit 2 MA.912.F.4.1 1. Julie England’s Presentation “Welcome to the Real World” Contact Julie to set up a day for her to come and visit your class for 45 minutes – 1 hour. Her contact information is: [email protected] or (352)343-4101 extension 2721

B. Examine Forms of Record Keeping NEFE Unit 2 & Excel

C. Propose Your Budget NEFE Unit 2

1. Look for Employment 6.1

2. Pay Periods and Hourly Rates 6.2

3. Commissions, Royalties, and Piecework Pay 6.3

4. Employee Benefits 6.4

5. Social Security and Medicare 6.5

D. Net Worth – Personal Net Worth Worksheet Resource Folder MA.912.F.4.3

III. Applications of Graphs 2.1-2.8, 5.6

A. Linear Equations and Inequalities 1. Linear Equations & Inequality Worksheet # 1 – 11 Resource Folder MA.912.A.3.5

2. Solving Linear Equations 1.3

(Holt McDougal Larson Algebra II textbook)

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3. Solve Linear Inequalities 1.6 (Holt McDougal Larson Algebra II textbook)

4. Graph Equations of Lines 2.3 (Holt McDougal Larson Algebra II textbook)

5. Write Equations of Lines 2.4 (Holt McDougal Larson Algebra II textbook)

B. Systems of Equations

1. Systems of Equations Worksheet # 1 – 7 Resource Folder MA.912.A.3.15

2. Solve Linear Systems by Graphing 3.1

(Holt McDougal Larson Algebra II textbook)

3. Solve Linear Systems Algebraically 3.2 (Holt McDougal Larson Algebra II textbook)

C. Systems of Inequalities

1. Systems of Inequalities Worksheet # 8 – 20 Resource Folder MA.912.A.3.15

2. Graph Linear Inequalities in Two Variables 2.9

(Holt McDougal Larson Algebra II textbook)

D. Statistical Graphs Measures of Central Tendency Applications 1. Statistics Worksheet # 1 – 40 Resource Folder MA.912.S.3.1

MA.912.S.3.3

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IV. Financial Math Models NEFE – Unit 3 MA.912.F.1.1 MA.912.F.1.3 MA.912.F.2.1 MA.912.F.2.2

A. Checking Accounts NEFE – Unit 5

1. Checking Accounts 3.1

2. Reconcile A Bank Statement 3.2

B. Debit Cards NEFE – Unit 5

C. Savings Accounts 3.3

D. Examine the Various Types of Financial Service Providers

E. List Factors to Consider When Shopping for Bank Services

F. Calculate Present Value 3.8 a. Cash or Annuity Lesson 11 Pg. 209-216 MA.912.F.1.1

(Mathematics & Economics, Connections for Life Textbook) MA.912.F.1.2 MA.912.D.1.1

b. Visual 11.2 Time Value of Money: Computing Present Value Pg. 217 MA.912.F.2.2 (Mathematics & Economics, Connections for Life Textbook)

G. Calculate Future Value 3.7

a. Visual 11.3 The Future Value of an Annuity Pg. 218 MA.912.F.2.1 (Mathematics & Economics, Connections for Life Textbook)

b. Activity 11.1 The Lottery Jackpot: Cash or Annuity Pg. 219-220 MA.912.F.2.2

(Mathematics & Economics, Connections for Life Textbook)

c. Activity 11.2 The $100,000 Habitat Pg. 221 MA.912.F.2.1 (Mathematics & Economics, Connections for Life Textbook)

d. Activity 11.3 Pg.222 MA.912.F.2.1

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(Mathematics & Economics, Connections for Life Textbook) MA.912.F.2.2

H. Simple Interest 3.3

I. Compound Interest 3.4-3.6

1. Exponential Growth a. Graph Exponential Growth Functions 7.1 MA.912.F.1.2

(Holt McDougal Larson Algebra II textbook) MA.912.F.1.4 MA.912.A.2.1 MA.912.A.2.2 MA.912.A.8.7 MA.912.D.1.1

b. Graph Exponential Decay Functions 7.2 See above listed (Holt McDougal Larson Algebra II textbook)

c. Using Functions Involving e 7.3 See above listed (Holt McDougal Larson Algebra II textbook)

2. Logarithmic Applications a. Evaluate Logarithms and Graph Logarithmic Functions 7.4 See above listed

(Holt McDougal Larson Algebra II textbook)

b. Apply Properties of Logarithms 7.5 See above listed (Holt McDougal Larson Algebra II textbook)

c. Solve Exponential and Logarithmic Equations 7.6 See above listed (Holt McDougal Larson Algebra II textbook)

3. Graphical Representations – taught throughout unit See above listed

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V. Credit NEFE – Unit 4

A. Pros/Cons of Using Cash MA.912.F.3.1 MA.912.F.4.2

B. Pros/Cons of Credit

1. Julie England’s Presentation “My Pizza Costs WHAT???” Contact Julie to set up a day for her to come and visit your class for 45 minutes – 1 hour. Her contact information is: [email protected] or (352)343-4101 extension 2721

2. Credit Abuse Resistance Education JalaCare – Powerpoint Resource Folder

C. Analyze Credit Scores MA.912.F.3.2

D. Calculate Finance Charges for Credit Cards MA.912.F.3.3 MA.912.F.3.17

1. Credit Cards 4.4

2. Credit Card Statements 4.5

3. Average Daily Balance 4.6

E. Calculate Costs for Car Loan

1. Practical Money Skills Lesson 9 Cars Resource Folder

F. Calculate Installment Loan (Furniture)

1. Buy Now, Pay Later? Caveat Emptor Resource Folder MA.912.F.3.4 (by Jenny Ellis – State Math Day lesson) MA.912.F.3.5 MA.912.F.3.6

G. Compute Deferred Payment

1. Buy Now, Pay Later? Caveat Emptor Resource Folder MA.912.F.3.4 (by Jenny Ellis – State Math Day lesson) MA.912.F.3.5

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MA.912.F.3.6 2. Plan to Pay off Debt MA.912.F.4.4

VI. Investments MA.912.F.4.10 MA.912.F.4.12

A. Common Stocks 1.2 – 1.9

1. Stock Market Game www.stockmarketgame.org Electronic Resource MA.912.F.4.11

B. Preferred Stocks 1.9

C. Bonds

1. Building Your Future: Bonds Independent Practice Handout Resource Folder

D. Current Exchange Rates (Worksheet) Resource Folder MA.912.F.4.13

E. Analyze Diversification

1. Assignment 3-2: Which Is the Best Deal? NEFE – Unit 3

2. Assignment 3-3: My Investing Options NEFE – Unit 3

3. Assignment 3-4: My Risks and Rewards NEFE – Unit 3

4. Assessment 3-1: My Investing Plan NEFE – Unit 3

VII. Taxes MA.912.F.4.5

A. Taxpayer Responsibilities

1. IRS Understanding Taxes Program: www.irs.gov/app/understandingtaxes/index.jsp

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B. Form W-4

1. Form W-4 http://www.irs.gov/pub/irs-pdf/fw4.pdf

C. Form W-2

1. Income Statements 7.3

2. Form W-2 http://www.irs.gov/pub/irs-pdf/fw2.pdf

D. Using Tax Tables

1. Tax Tables, Worksheets, and Schedules 7.1

2. Modeling Tax Schedules 7.2

E. Calculate & Complete Form 1040EZ

1. Forms 1040EZ and 1040A 7.4

2. Form 1040EZ http://www.irs.gov/pub/irs-pdf/f1040ez.pdf

3. Instructions for 1040EZ http://www.irs.gov/pub/irs-pdf/i1040ez.pdf

F. Calculate & Complete Form 1040A

1. Forms 1040EZ and 1040A 7.4

2. Form 1040A http://www.irs.gov/pub/irs-pdf/f1040a.pdf

3. Instructions for 1040A http://www.irs.gov/pub/irs-pdf/i1040a.pdf

G. Calculate and Complete Form 1040

1. Form 1040 and Schedules A and B 7.5

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2. Form 1040 http://www.irs.gov/pub/irs-pdf/f1040.pdf

3. Instructions for 1040 http://www.irs.gov/pub/irs-pdf/i1040.pdf

VIII. Insurance MA.912.F.4.6

A. Insurance as a Device to Mitigate Risk? NEFE – Unit 6 MA.912.F.4.7

B. Auto Insurance NEFE – Unit 6

1. Automobile Insurance 5.4

2. Linear Automobile Depreciation 5.5

C. Health Insurance

1. Griffith Foundation Health Insurance Unit/IEI Resource Folder 2. Don’t Risk It Lesson Plan Health Insurance Resource Folder

D. Life Insurance 9.4

E. Homeowners’ Insurance

1. Griffith Foundation Homeowners Insurance Unit/IEI Resource Folder

IX. Retirement MA.912.F.4.8 MA.912.F.4.9

A. Connecting Career to Earning Potential NEFE – Unit 7

B. ROTH Accounts 9.1

C. 401K Accounts 9.1 D. Annuities 9.3

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X. Mortgages 8.1, 8.3 – 8.5 A. Calculate Fees

1. Mortgage Closing Costs problems Resource Folder MA.912.F.3.7

2. Mortgage Settlement Cost Worksheet, Federal Reserve Board Resource Folder

3. Settlement Statement, US Department of Resource Folder Housing and Urban Development

B. Calculate Fixed Rate Mortgage

1. Mortgage Fixed Rate problems Resource Folder MA.912.F.3.9

2. Fixed Rate Mortgage and Closing Cost problems Resource Folder MA.912.F.3.13

C. Calculate Adjustable Rate Mortgages

1. Adjustable Rate Mortgages problems Resource Folder MA.912.F.3.10

D. Calculate Balloon Mortgages

1. Balloon Mortgage problems Resource Folder MA.912.F.3.11

E. Compare Mortgages

1. Mortgage Loan Comparison problems Resource Folder MA.912.F.3.14

F. Interest Rates & Points 1. Comparing Points and Interest Rates Resource Folder MA.912.F.3.12

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2. How do Mortgage Points Work? www.homebuyinginstitute.com

G. Compare Interest Rate Calculations v. Annual Percentage Rate MA.912.F.3.17 This curriculum map is designed to cover the core curriculum for your math course. If your students are not successful per the specifications of RtI please use the RtI materials provided with your textbook, for Intensive Math classes, or other additional math resources that are available at your school for RtI interventions.

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Advanced Algebra with Financial Applications Lake County Schools

Electronic Resource Materials List

1

1. NEFE, National Endowment for Financial Education

http://hsfpp.nefe.org Teacher’s Guide Student Guide Workbooks CD for Powerpoint and Visuals

2. FCEE, Florida Council on Economic Education, www.fcee.org

Financial Freedom : A guidebook for Understanding Personal Finance

3. Applications of Exponential and Logarithmic Functions : http://www.sosmath.com/algebra/logs/log5/log51/log51.html 4. How Does Simple Interest Work? Mortgage Professor’s Website : http://www.mtgprofessor.com 5. Financial Football Training Camp: a project of the Chief Financial Officer of Florida, Mrs. Alex Sink : www.MyFloridaCFO.com

Downloadable Modules Play Financial Football Download Practical Money Skills for Life Visa U.S.A. CD with above listed materials Financial Football game link http://www.practicalmoneyskills.com/games/trainingcamp/ff/play/ Financial Soccer game link http://www.financialsoccer.com/play/play.php

6. The Basics of Saving and Investing: Investor Education 2020 Florida www.fcee.org/classroom-resources/stock-markets-investing/

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Electronic Resource Materials List

2

7. Escape from Knab, www.escapefromknab.com Simulation In Depth Activities student materials and teacher guides

8. Compound interest calculators and graphs plus numerous other calculators,

www.Bankrate.com 9. Simple interest calculators and graphs, www.webmath.com/simpleinterest.html 10. Hands On Banking for Young Adults, www.handsonbanking.org

11. Tax materials, http://www.irs.gov/app/understandingTaxes/index.jsp

Tutorials Activity Pages Forms

12. The Basics of Saving and Investing: Investor Education 2020 Florida,

www.fcee.org/classroom-resources/stock-markets-investing/

13. The Stock Market Game, www.stockmarketgame.org 14. Insurance Educations Institute, Insurance in a Box materials,

www.griffithfoundation.org/k-12/curriculum-online/

15. 2008 State Math Day Lesson for High School, www.fldoestem.org

16. Mathematics and Economics, connections for Life Grades 9-12, National Council on Economic Education

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Electronic Resource Materials List

3

17. Explorations Series - Time, Value, Money: Applications on the TI 83 www.education.ti.com

18. http://www.acturialfoundation.org/programs/youth/BuildingYourFuture.shtml Building Your Futures: Banking – Book 1, The Actuarial Foundation

Building Your Future: Financing - Book 2, The Actuarial Foundation Building Your Future: Investing – Book 3, The Actuarial Foundation

19. A Consumers Guide to Mortgage Settlement Costs, www.federalreserve.gov/pubs/settlement/default.htm 20. Choosing a Credit Card, www.federalreserve.gov

21. U.S. Department of Housing and Urban Development, www.hud.gov

22. Don’t Risk It Lesson Plans, Missouri Department of Insurance, http://insurance.mo.gov

23. www.homebuyinginstitute.com

24. Credit Abuse Resistance Education (CARE)

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Advanced Algebra with Financial Applications OPTIONAL Scope and Sequence Additional Resource Materials

Resource Materials Benchmark

I. Develop a Financial Plan

• Escape From Knab Simulation - Run the Simulation on computer - takes 1 class period

• Practical Money Skills Lesson 1 – Making Decisions

• Hands On Banking (2009) YA Topic 3 Spending Smart – Are You a Smart Shopper

• Hands On Banking (2009) YA Topic 3 Spending Smart – Making Major Purchases

• Escape From Knab January in Depth activity II. Develop a Financial Budget

• Practical Money Skills Lesson 2 – Making Money

• Practical Money Skills Lesson 3 – The Art of Budgeting III. Applications of Graphs

• Graphs and Systems of Equations and Inequalities, Pg. 1-3, Blitzer resources MA.912.A.3.15 IV. Financial Math Models

• Practical Money Skills Lesson 6 – Banking Services MA.912.F.4.2

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• Hands on Banking (2009) YA Topic 1 – Getting Started – Debit Card Activities, Pg. 47-53

• Hands on Banking (2009) YA Topic 1 – Getting Started – How to Use an ATM

• Hands on Banking (2009) YA Topic 1 – Getting Started –Practice Your ATM Skills

• Building Your Future – Savings Accounts worksheet

• Building Your Future – Checking Account: Independent Practice

• Hands on Banking (2009) YA Topic 1 – Getting Started – How to Endorse a Check

• Hands on Banking (2009) YA Topic 1 – Getting Started – How to Read Your Statement

• Hands on Banking (2009) YA Topic 1 – Getting Started – How to Reconcile Your Account

• Hands on Banking (2009) YA Topic 1 – Getting Started – Opening Accounts: What to Bring, Pg. 90

• Financial Freedom, A Workbook for Understanding Personal Finance Section 2 Banking Basics: Banking Choices

• Financial Freedom, A Workbook for Understanding Personal Finance Section 2 Banking Basics: Choosing a Bank

• Simple interest calculator and graphs - www.webmath.com/simpleinterest.html MA.912.F.1.3

• Compound interest calculator and graphs plus numerous other calculators - www.bankrate.com MA.912.F.1.4

• Applications of Exponential and Logarithmic Functions, www.sosmath.com See above listed

• Explorations Time, Value, Money: Applications on the TI 83 Chapter 3 Days Between Dates See above listed

• Explorations Time, Value, Money: Applications on the TI 83 Chapter 4 Compound Interest See above listed

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• Explorations Time, Value, Money: Apps on the TI 83 Chapter 6 Continuous Compounding See above listed

• Escape From Knab February in Depth activity

V. Credit

• Hands On Banking (2009) YA Topic 5 All About Credit – The Basics of Credit Cards

• Hands On Banking (2009) YA Topic 5 All About Credit – Glossary

• Practical Money Skills Lesson 7 – About Credit

• Hands On Banking (2009) YA Topic 5 All About Credit – Lesson 3: Your Credit Score p.24-27 MA.912.F.3.2

• Choosing a Credit Card, The Federal Reserve

• Practical Money Skills Lesson 8 – Credit Cards MA.912.F.3.3

• Financial Freedom, A Workbook for Understanding Personal Finance Section 4: Consumer Credit (and Debit!) – Credit Application

• Hands On Banking (2009) YA Topic 5 All About Credit – How to Read Your Credit Card

• Financial Freedom, A Workbook for Understanding Personal Finance Section 4:

Consumer Credit (and Debit!) – When to Use Credit

• Hands On Banking (2009) YA Topic 5 All About Credit – Go Low and Repay Fast MA.912.F.3.3

• Hands On Banking (2009) YA Topic 5 All About Credit – Killer Credit Card Tips MA.912.F.3.3

• Financial Freedom, A Workbook for Understanding Personal Finance Sec. 4: MA.912.F.3.3 Fixed Amount of $35

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• Financial Freedom, A Workbook for Understanding Personal Finance Sec. 4: Fixed Amount MA.912.F.3.3

• Financial Freedom, A Workbook for Understanding Personal Finance Sec. 4: MA.912.F.3.3

• The Minimum Payment Trap

• Building Your Future: Credit Cards: Independent Practice MA.912.F.3.3

• Financial Freedom, A Workbook for Understanding Personal Finance Sec. 4: Where People Get Loans

• Hands On Banking (2009) YA Topic 5 All About Credit – Loan Step-by-Step

• Building Your Future: Loans and Interest Worksheet

• Practical Money Skills Lesson 9 – Cars and Loans

• Building Your Future: Auto Loans Lease vs. Purchase

• Building Your Future: Auto Loans Independent Practice

• Practical Money Skills Lesson 13 – In Trouble MA.912.F.4.4

• Hands On Banking (2009) YA All About Credit – Warning Signs to Watch For

• Escape from Knab June in Depth activity

VI. Investments

• Basics of Saving and Investing Unit 1 – Getting Started

• Basics of Saving and Investing Unit 2 – Introduction to Financial Markets

• Building Your Future: Stock Independent Practice handout MA.912.F.4.11

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• Building Your Future: Mutual Funds Independent Practice handout

• Building Your Future: Risk and Diversification Independent Practice handout

• Practical Money Skills Unit 12 – Saving and Investing

• Risk vs. Reward worksheet

• Comparing Investments worksheet

• Escape From Knab May in Depth activity

VII. Taxes

• Tax Owed on Taxable Income worksheet

• Tax Withholding Rates worksheet

• FICA and Medicare Tax worksheet

• Taxes: Independent Practice handout

• Case #1 with accompanying tax forms VIII. Insurance

• Griffith Foundation Auto Insurance Unit/IEI

• Don’t Risk It Lesson Plan – Auto Insurance – Missouri Department of Insurance

• Section 6 Automobile Insurance – Cost of Insurance – FCEE

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• How Much Does That Traffic Ticket Really Cost? – Ohio Insurance Institute Lesson Plan MA.912.F.4.7

• Strand D Algebraic Thinking Lesson Thirteen – Car Insurance

• Griffith Foundation Life Insurance Unit/IEI

• Don’t Risk It Lesson Plan – Renters Insurance – Missouri Department of Insurance

• Insurance Independent Practice handout IX. Retirement

• Basics of Saving and Investing Unit 3 – Making a Financial/Investment Plan

• Hands on Banking (2005) YA Unit 6, Sections 3-5 – Work and $

• Investing for Retirement worksheet MA.912.F.4.9

• Future Value worksheet

• Present Value worksheet

• Comparing Mutual Funds worksheet MA.912.F.4.9

• Comparing Investments worksheet MA.912.F.4.9

• Comparing Two Annuities worksheet MA.912.F.4.9

• Comparing a Traditional IRA and a Roth IRA MA.912.F.4.9

• Time Comparisons of IRAs MA.912.F.4.9

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X. Mortgages

• Practical Money Skills Lesson 5 – Buying a Home

• Hands on Banking (2009) YA Topic 4 - Save, Invest & Build Wealth, Homeownership: Benefits & Realities, Pg. 60-63

• Consumers Guide to Mortgage Settlement Cost, Federal Reserve Board

• Types of Home Loans – Buyers Guide to Home Mortgage Loans, www.homebuyinginstitute.com

• Home to Calculate Your Mortgage Payments, www.mortgageprofessor.com

• Mortgage Fixed Rate problems MA.912.F.3.9

• Adjustable Rate Mortgages, Homes and Communities, US Department of Housing and Urban Development

• Facts About ARMS, Adjustable Rate Mortgages www.homebuyinginstitute.com

• Choosing Between Fixed and Adjustable Rate Mortgages, www.mortgageprofessor.com

• What is a Balloon Loan, www.mortgageprofessor.com

• Balloon Mortgage Definitions and Mortgage Comparisons, www.homebuyinginstitute.com

• Mortgage Shopping Worksheet, Federal Reserve Board • What is the APR? www.mortgageprofessor.com MA.912.F.3.17

• Escape From Knab March in Depth activity

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