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3.9 Where to Save

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Last updated about 1 year ago
47 questions
Note from the author:
OBJECTIVES & STANDARDS
Math Objectives
  • Explore compound interest equation
  • Compare exponential and linear growth outcomes
  • Distinguish between situations that can be modeled with linear functions and with exponential functions.
Common Core Math Standards
  • Link to all CCSS Math
  • CCSS.PRACTICE.MP2
  • CCSS.PRACTICE.MP4
  • CCSS.HSF.LE.A.1
  • CCSS.HSF.IF.B.5
  • CCSS.HSA.REI.B.3
Personal Finance Objectives
  • Explain the difference between banks and credit unions
  • Understand the difference between a checking and savings account
  • Compare different types of savings accounts with their costs and benefits
  • Explore alternatives to a traditional savings account
  • Investigate modern saving apps that can integrate into a personal savings plan
National Standards for Personal Financial Education
Saving
  • 2a: Select a preferred location for a savings account based on comparison of interest rates and fees at different types of financial institutions.
  • 4b: Illustrate how inflation can reduce the purchasing power of savings over time if the nominal interest rate is lower than the inflation rate.
DISTRIBUTION & PLANNING
Distribute to students
  • Student Activity Packet
OBJECTIVES & STANDARDS
Math Objectives
  • Explore compound interest equation
  • Compare exponential and linear growth outcomes
  • Distinguish between situations that can be modeled with linear functions and with exponential functions.
Common Core Math Standards
  • Link to all CCSS Math
  • CCSS.PRACTICE.MP2
  • CCSS.PRACTICE.MP4
  • CCSS.HSF.LE.A.1
  • CCSS.HSF.IF.B.5
  • CCSS.HSA.REI.B.3
Personal Finance Objectives
  • Explain the difference between banks and credit unions
  • Understand the difference between a checking and savings account
  • Compare different types of savings accounts with their costs and benefits
  • Explore alternatives to a traditional savings account
  • Investigate modern saving apps that can integrate into a personal savings plan
National Standards for Personal Financial Education
Saving
  • 2a: Select a preferred location for a savings account based on comparison of interest rates and fees at different types of financial institutions.
  • 4b: Illustrate how inflation can reduce the purchasing power of savings over time if the nominal interest rate is lower than the inflation rate.
DISTRIBUTION & PLANNING
Distribute to students
  • Student Activity Packet
Intro - Warm-Up
Learn It
Math Connection
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VIDEO: Banks vs. Credit Unions: What's the Difference?
Watch the video and answer the following questions. Compare your answers with a partner and discuss any similarities and differences.
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Question 1
1.

What are the three main categories where banks and credit unions differ?

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Question 2
2.

Describe the differences in one of these categories.

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Question 3
3.

Does a bank or a credit union fit better with your own personal ideas of what you’d like out of your banking institution? Why?

VIDEO: What's the Difference Between Checking and Savings?
You may be tempted to think you’re all set once you have a checking account, but it’s important to have a savings account, too. Watch this video and then answer the following questions.
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Question 4
4.

What is one way banks make money, according to the video?

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Question 5
5.

Why can banks offer you interest on your savings account but not your checking account?

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Question 6
6.

Would you expect someone earning more than they spend to keep the majority of their money in a checking account or a savings account for the long term? Why?

INFOGRAPHIC: What is the Difference Between Checking and Savings Accounts?
Checking and savings accounts are both important tools for managing your money, but they are used for very different purposes. Read through this infographic for further details about how these accounts are different. Then, answer the questions.
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Question 7
7.

How does the interest rate compare between checking and savings accounts?

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Question 8
8.

What is one fee with a savings account that you do NOT have with a checking account?

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Question 9
9.

Up to what value does FDIC insurance cover your deposits?

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ACTIVITY: COMPARE: Types of Savings Accounts
Now that you know the difference between checking and savings accounts, let's take a closer look at different types of savings accounts.

There are multiple types of savings accounts that can help you meet your savings goals. You’ll explore and compare four different types of savings accounts in this activity by first researching the basics of the accounts, then comparing which of those accounts a specific bank or credit union offers, and finally applying what you have learned about those accounts to various saving goal scenarios!


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Question 11
11.

Part I: Research Savings Accounts

TEAMWORK: Your teacher will assign you one of the four types of savings accounts to research: (1) Traditional Savings Account, (2) Online Savings Account, (3) Certificate of Deposit, or (4) Money Market Account. With your teammates, conduct online research on your assigned savings account type. Complete each field in the drawing below.

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VIDEO: EdPuzzle: Is the Savings Account Dead?
Watch this EdPuzzle video (up to the 5:05 mark) and answer the questions about savings accounts and wealth building.Watch this video to learn more about the role of savings accounts. Then, answer the questions either in EdPuzzle or below.
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ARTICLE: Best Money-Saving Apps
If savings accounts and CDs are a thing of the past, then what ARE people using nowadays? Often in today’s digital society, consumers do not interact as much directly with their banks but instead use other apps to track and manage their finances.
Pick one of the three apps in the article and fill out the following table. Fill in the rest of the table and answer the questions as you share out with the class.
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Question 29
29.

Pick one of the three apps in the article and fill out the following table. Fill in the rest of the table and answer the questions as you share out with the class.

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Question 30
30.

How could paying for an app like one of these possibly help you save money?

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Question 31
31.

What are some alternative ideas you could use for free?

Now that you know the basics of savings accounts and earning interest, answer the following questions about saving, interest growth, and how your money grows in different accounts.
Part I: Checking Account Balances
Phillip has two accounts where he is storing his money. He has zero interest checking accounts and has met all the minimum requirements to have zero fees. The Account at Bank A starts with $300 and saves $20/month. The Bank B account starts with $100 and he deposits $1/day. Assume every month has 30 days.
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Question 32
32.
How much money will the accounts have after 1 month? After 1 year? After 10 years?
1 Month 1 Year 10 Years
Bank A: _______ _______ _______
Bank B: _______ _______ _______
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Question 34
34.
When will the accounts have the same balance?_______ months
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Part II: Compounding Interest
Phyllis (Phillip’s sister) has also learned good saving habits, but she wants to know what different savings accounts will help her earn. She invests $3000 in each of three different savings account types each with different interest rates as shown below. You will use this compounding interest formula to calculate how much her money will earn in each of the accounts based on the interest rate (r) as a decimal and time (t) in years. For each different account, you will change the variable for interest rate (r) and time (t). For one month, use 0.083 years.

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Question 38
38.
How much money will the accounts have after 1 month? After 1 year? After 10 years?
Interest 1 Month 1 Year 10 Years
Saving @ .005_______ _______ _______
$Mark@.0055_______ _______ _______
CD@.0075 _______ _______ _______
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Question 39
39.
How much did the money grow in each bank account from just interest over 10 years?
Savings:_______
Money Market:_______
CD:_______
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Part III: Simple vs Compound Interest
Philomena, trying to get more growth from her money, is deciding between two investment accounts for her $1050. The Red account predicts a 5% interest compounded annually and a $1050 starting balance. The Blue account guarantees a 7.5% simple interest added annually and a one-time $50 fee making it a $1000 starting balance. Below are the two accounts plotted on the same graph.

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Question 41
41.

Which earns more after 5 years?

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Question 45
45.

Which statement about saving is true?
  1. Savings accounts have had about the same interest rates throughout history
  2. Every savings account is the same except for the interest rate they offer
  3. Savings accounts differ wildly and it is worth hours of research to choose the best one
  4. Savings accounts are largely similar and your choice is mostly personal preference

Question 46
46.

This type of account features a low to modest interest rate, requires that you not withdraw your funds for a set period of time, and can be set up at most major banks and credit unions.
1 Checking Account
2 Savings Account
3 Certificate of Deposit
4 Money Market Account

Question 47
47.

Which statement about savings accounts is true?
  1. Savings accounts typically pay lower interest than checking accounts
  2. Savings accounts are insured by the FDIC but checking accounts are not
  3. Savings accounts are for building wealth while checking accounts are for spending
  4. Savings accounts often have transaction limits but checking accounts are unlimited

Question 10
10.

Does FDIC insurance cover checking accounts, savings accounts, both, or neither?

Question 12
12.

SHARE OUT: After each group has finished their research, go around the classroom and each team will share their research from each savings account type. Assign each teammate in your group different parts of your research to share to the class. When another group is presenting on a savings account type that you did NOT research with your team, follow along with their presentation by completing the main points in the table below.

Question 13
13.

Part II: Research A Bank or Credit Union

Now that you know the basics of how these four types of savings accounts work, let’s take a closer look at how these accounts compare against each other at your favorite bank or credit union. Select one bank or credit union (it can be one that you or your parents / guardians currently use, or one that you are interested in learning more about). Then, research the bank or credit union’s options for savings accounts. NOTE: If the bank offers multiple products in the same category (ex: two tiers of MMA or CDs at 10 different time intervals) just record answers for ONE of the options.

Part III: Apply Your Knowledge!

Congratulations - you now have a deeper understanding of how various types of savings accounts can be used for different savings goals! Now that you know more about the details on these different accounts, apply your learning by helping out the following characters by reading each scenario below and selecting which type of savings account, from the 3 you’ve chosen above, fits best.
Question 14
14.

Robert wants to get serious about saving for a new car. Which account would you recommend? Why?

Question 15
15.

Cindy has been working for 8 years, and she’s built up a huge emergency fund -- $45,000, which would be 6 months of her salary. She’s hoping to earn a bit more interest than she currently is with that $45,000 just sitting in her traditional bank’s savings account. Which account would you recommend? Why?

Question 16
16.

Janelle likes to keep all her savings goals separate, so she has an account for each one, including an account to save for her college textbooks every semester. She buys books about every 6 months, with roughly $550 due each time. She likes to save the money up in installments, with auto-deposits from each of her twice monthly paychecks. She’s wondering if her online savings account, earning 0.75%, is still her best option for monthly deposits toward her textbooks. Which account would you recommend? Why?

Question 17
17.

The video references a high yield account. What does "high yield" mean?
  1. Giving a low return
  2. Giving a high return
  3. Free to open with any deposit amount
  4. Requiring a high initial deposit amount

Question 18
18.

What happens to the money that you deposit at a bank?
  1. The bank lends out the money at a higher interest rate than what they are paying you.
  2. The bank lends out the money at a lower interest rate than what they are paying you.
  3. The money sits at the bank until you are ready to withdraw or use it.
  4. The money is sent to the Federal Reserve, where it sits until you’re ready to withdraw or use it

Question 19
19.

If inflation is at 2% and you are earning 1% return on your savings account, what is your "real return?"
  1. +3%
  2. -3%
  3. +1%
  4. -1%

ACTIVITY: Savings...or NOT?
For each of the 7 situations below, circle whether the descriptions apply to savings or some other account.
Savings=True
Not Savings=False
Question 20
20.

Chris wants to put money aside so he can buy his mom a birthday present.
Savings=True
Not Savings=False

Question 21
21.

Sam wants to buy school supplies for a project she is working on.
Savings=True
Not Savings=False

Question 22
22.

Aisha wants to withdraw $20 from an ATM so she can buy a movie ticket and go watch the movie with her friends.
Savings=True
Not Savings=False

Question 23
23.

Neil rides his bike every day to school and back and is responsible for maintaining his bike. He wants to make sure he has money to fix or replace anything that might break in the future.
Savings=True
Not Savings=False

Question 24
24.

Rosa is going on a vacation with her parents in a few months and wants to put the money she just got from the holidays aside to buy souvenirs.
Savings=True
Not Savings=False

Question 25
25.

Jamil wants to take his birthday money and put it away where it can grow for 15 years and help with a down payment on a future house he wants.
Savings=True
Not Savings=False

Question 26
26.

Harry has an account at his bank. It has a linked debit card and no limits on monthly withdrawals. He earns no interest on this account.
Savings=True
Not Savings=False

Question 27
27.

What are some things the “Savings” scenarios have in common?

Question 28
28.

For each of the “NOT” scenarios, discuss with a partner what might be a good alternative to savings

Question 33
33.
Write equations that represent the balance in each account (y) as a function of time (x).
Bank A:_______
Bank B:_______
Question 35
35.

On a graph, how could you tell the point where the accounts have the same balance?

Question 36
36.
How much did the money grow in each bank account from just deposits over 10 years?
Bank A:$ _______
Bank B: $ _______
Question 37
37.

What seems to be more important in the long-term, starting balance or monthly savings rate?

Question 40
40.
What brought in more money over 10 years, monthly savings or interest growth?_______
Question 42
42.

Which earns more after 20 years?

Question 43
43.
Approximately how much more does account 1 earn after 20 years?_______

Approximately when will the two accounts have the same balance?_______ years and again at _______ years

How many solutions does this system of equations have?_______ How can you tell?_______
Question 44
44.

Compound interest leads to an exponential growth equation while simple interest results in linear growth. If you go further out to 25 years or 50 years, what do you think will happen to the difference between the compounding function and the simple interest function?