Life Skills Arcade Middle school Family and Consumer Sciences, grades 6 to 8

Handout 2.12

Handout 02.12: Compound Growth Table

Unit
Unit 2: Me, My Goals, My Money
Handout
2.12

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Name: ______________________ Date: __________ Partner: ______________________

The rate on this sheet is 5 percent a year so the math is clean. Real savings accounts in 2026 pay from under 1 percent at big banks to about 4 percent at online banks.

My guess: $20 a week for 30 years at 5 percent = $__________

Part A: Why save, and where

Three reasons to save, with an example of each:

ReasonMy example
1. A goal
2. An emergency fund
3. The future

Jar versus savings account:

A jar or a drawerA savings account
Does it grow?
Is it protected if it is lost or stolen, or the bank fails?
How easy is it to raid?
Who can open one?

Pay yourself first means _________________________________________________________

Part B: Simple versus compound (copy from the slide)

$1,000 at 5 percent.

Simple interest: $50 a year, every year. After 3 years: $1,000 + $150 = $______

Compound interest:

Year 1: $1,000 x 0.05 = $______ interest. End: $______

Year 2: $______ x 0.05 = $______ interest. End: $______

Year 3: $______ x 0.05 = $______ interest. End: $______

The shortcut: $1,000 x 1.05 x 1.05 x 1.05 = $1,000 x 1.05 to the third power = $______

Part C: $20 a week, by hand

$20 a week x 52 weeks = $______ a year. You deposit it at the start of each year. At the end of the year the bank pays 5 percent on everything in the account.

YearIn the account at the startAdd this yearBalance before interestThe bank pays (5 percent)End of year
1$0.00$1,040.00$1,040.00$1,040.00 x 0.05 = $52.00$1,092.00
2$1,092.00$1,040.00$______$______ x 0.05 = $______$______
3$______$1,040.00$______$______ x 0.05 = $______$______
4$______$1,040.00$______$______ x 0.05 = $______$______
5$______$1,040.00$______$______ x 0.05 = $______$______

The jar after 5 years: $1,040 x 5 = $______

The account after 5 years: $______

The difference (the bank paid you this much for waiting): $______

Why does year 5 earn more interest than year 2 when the deposit is the same?


(Grade 6: years 1 to 3, and the jar at 3 years: $3,120.)

Part D: The reveal (copy from the slide)

YearsThe jarThe account at 5 percentThe difference
5$5,200$$
10$10,400$$
30$31,200$$

My guess was $__________. The real number was $__________.

Two savers. Nia puts $1,000 in an account at 15 and never adds to it. At 5 percent she has about $11,467 at 65. Cole puts $2,000 in at 35. At 5 percent he has about $8,644 at 65.

Who ended with more? ______ Who put in more? ______ What mattered more, the amount or the years? ______


Part E: My pay-yourself-first plan (three sentences)

  1. I will save $______ a week (or $______ a month).
  2. I will keep it in ______________________________ (a jar, a youth savings account with an adult, another place) because ________________________________.
  3. My first goal for it is ______________________________ by ______________.

Grade 8 stretch

  1. Redo the five-year table at 3 percent on the back. End of year 5: $______. How much does the rate matter over five years? $______ less.
  2. Check Nia's number with the shortcut: $1,000 x 1.05 to the 50th power. (Use the calculator's power key.) $______
  3. Three places for the money: a big bank savings account at 0.5 percent, an online bank at 4 percent, a credit union at 3 percent. Which pays the most? ______ Name two things besides the rate that should decide where the money goes: ______________________, ______________________

Exit card (3-2-1)

3 reasons to save: ________________, ________________, ________________

2 differences between a jar and a savings account: ________________, ________________

1 number: $20 a week for 30 years at 5 percent: $________