Saving and Compound Growth

Standards

Enduring understanding and essential question

Big idea: Saving is paying your future self, and the earlier you start, the more your money does the work for you. Interest paid to you grows on itself; that is compound growth, and time is the ingredient you have more of than any adult.
Essential question: Would you rather have $1,000 at 15 or $2,000 at 35?

Objectives

By the end of this lesson, students will be able to:

1. (Low) Given the three reasons to save (a goal, an emergency fund, the future), state each one with an example, and list two differences between a savings account and a jar.
2. (Mid) Given $20 a week and a stated rate, complete a five-year compound growth table by hand, computing the interest and the end balance for each year, and compare the result to the jar.
3. (High) Given the 5, 10, and 30 year results and the two savers story, judge what matters more, the amount saved or the years, and write a three-sentence "pay yourself first" plan with a weekly amount, a place, and a first goal.

Vocabulary

Tier 2 (general academic): accumulate, exponent, estimate, compare
Tier 3 (FACS): savings account, emergency fund, principal, simple interest, compound interest, interest rate, pay yourself first, FDIC insured. See Vocabulary 02.md for Turkish, Portuguese, and Spanish.

Materials and setup

• Compound Growth Table, one per student: Handout 02.12 - Compound Growth Table.md
• Calculators, one per pair
• Slides: Slides 02.12 - Saving and Compound Growth
• A clear jar with $20 in ones for the do now (or a picture on slide 1)
• Setup notes: the table uses 5 percent a year so the math is clean; real savings account rates in 2026 run from under 1 percent at big banks to about 4 percent at online banks [update]; say so on slide 6. No food handled today.

Pre-assessment

Yesterday's exit cards show who can compute simple interest. The do now asks for a guess at $20 a week for 30 years with no interest; a student who writes $31,200 can multiply, and the compound number will surprise them anyway. A student who cannot get to $1,040 a year needs the weekly-to-yearly step in Step 1.

Do now and hook (Time: 4 min)

On the board: "You put $20 a week in a jar and never touch it. How much is in the jar after one year? After 30 years? Show the math."

Debrief: $1,040 a year; $31,200 in 30 years. Hook: hold up the jar. "That is the jar. Now I move the same $20 a week into an account that pays 5 percent. Guess what the 30-year number is. Write it on the top of your handout. The real number is more than double the jar, and you are going to build it by hand."

Procedure

Questions to ask

Monitor understanding:

• What is the difference between simple and compound interest? Which one does a savings account pay?
• What does 1.05 to the fifth power mean in words?
• Why does year 5 earn more interest than year 2 if the deposit is the same?

Deepen learning:

• Nia had half the money and ended with more. What does that tell a 13-year-old?
• A jar pays nothing but you can see it. A savings account pays 5 percent but it is a number on a screen. Which one would you actually keep filling? Why?
• The credit card in Lesson 2.11 compounded against Leo at 24 percent. The account compounds for you at 5 percent. Which direction should you want to be on, and what does that mean for the phone?

Check for understanding

Clipboard checklist during Step 3: for each pair, yes or no on "year 1 interest is $52.00," "year 2 balance before interest is $2,132.00" (the deposit was added to last year's end), and "year 5 end is $6,033.99." A pair with three yeses moves to the jar comparison. A pair whose year 2 interest is $52.00 again forgot to add the deposit to the balance; the prompt is "What does the account have in it at the start of year 2?"

Closure (Time: 4 min)

3-2-1 exit card on the bottom of the handout: 3 reasons to save, 2 differences between a jar and a savings account, 1 number: $20 a week for 30 years at 5 percent. Three students read one line aloud. Collect. Sort into "got it" and "needs more." The "needs more" pile decides whether the Money Basics Quiz review in the first two minutes of Lesson 2.13 spends its time on interest math.

Differentiation and supports

• ELL: the three reasons to save each have a picture on the slide; the words save, interest, compound, principal are on a card in English, Turkish, Portuguese, and Spanish (see Vocabulary 02.md); the table has the column headers in plain words ("what is in it," "add this year," "the bank pays," "end of year"); sentence frame for Part E: "I will save $___ a week in ___. My first goal is ___."
• IEP and 504 (general): pairs; calculators; the table has year 1 completed as a model and the addition and multiplication set up in each cell; a student may complete years 1 to 3 and copy 4 and 5 from the board; extended time; Part E may be dictated.
• Grade 6 support: complete years 1 to 3 of the table; the jar comparison at three years ($3,120 versus $3,442.53); Part E as two sentences.
• Grade 8 stretch: redo the five-year table at 3 percent [update] and say how much the rate matters over five years (about $347 less); then use the exponent shortcut to check Nia's number: $1,000 x 1.05 to the 50th power. Preview of CTE FCL 2. d): compare a big bank savings account at 0.5 percent, an online bank at 4 percent, and a credit union at 3 percent [update], and say what else besides the rate should decide where the money goes (fees, minimum balance, an adult co-owner, a branch nearby).
• UDL checkpoint used: multiple means of representation (the jar you can see, the table you build, the exponent shortcut) and multiple means of engagement (the do now guess and the two savers question the class argues).
• No-kitchen or no-machine alternative: not a lab; none needed. Without calculators, round every interest amount to the nearest dollar; the teacher key gives both versions.

Assessment

Homework

None. Optional: ask an adult at home whether they have a savings account and what it pays. Do not bring the number to school; just say whether it was more or less than 5 percent.

Connections

Math: exponents as repeated multiplication and percent of a number; this table is a ready-made grade 7 exponent lesson, and the math teacher can run the 3 percent version. ClassroomStreet: the savings account is the "safe" choice students compare to stocks in Topic 2.4 (Lesson 2.14, safe versus risky). Community: [Sal: a credit union youth account visit fits here or in Lesson 2.10; ask them to bring the real rate and the real fee sheet.]

Sources

• NYS Middle Level CTE FACS Content Module 01, Individual Growth and Life Readiness (nyctecenter.org, June 2018), line 4. e). Copy in 02 Standards/NYS Module PDFs/.
• NYS Middle Level CTE Theme Module 03, Financial and Consumer Literacy, lines 2. a) and 2. c). Same folder.
• NYS Learning Standards for Health, Physical Education, and Family and Consumer Sciences (1996), Standard 3, Intermediate. Wording per 02 Standards/STANDARDS SOURCES - web research.md.
• National Standards for Family and Consumer Sciences Education 3.0 (LEAD FCS Education, 2018), competencies 2.6.1 and 3.3.4.
• FDIC insurance limit of $250,000 per depositor per bank (fdic.gov); NCUA is the equivalent for credit unions. Savings rates in 2026 are marked [update].
• The table and the two savers numbers were computed for this lesson at 5 percent compounded yearly with the deposit at the start of each year; the teacher key shows the arithmetic.
• Sal's own materials: The Magic of Compound Interest packet (Brentwood South, 2026, Lesson Dups/Unit_4_Financial_Literacy/education_teachingwork_the_magic_of_compound_interest_2026_04.docx) supplied the year-by-year table format and the early saver versus late saver story; the story was rebuilt with new names and ages and the table moved from a one-time $100 to $20 a week so it matches the budget from Lesson 2.9. The Savings Challenge packet in the same folder is the source for "pay yourself first."

Teacher notes

• If time runs short, cut the table to three years and give years 4 and 5 from the slide. Never cut the two savers; it is the sentence students repeat at home.
• Common mistake: forgetting to add the new deposit before computing interest, so every year earns $52. The clipboard check catches it at year 2.
• Second common mistake: rounding. Tell students to keep two decimal places and round only at the end; the key accepts answers within $1 of the printed number.
• Be honest about the rate. 5 percent is for clean math. A big bank pays much less and an online bank pays close to it [update]; the grade 8 stretch has students find out which.
• [Sal: your Series 6 years are the credential here. One minute on what "the eighth wonder of the world" line sounded like in a sales meeting, and why it is still true even when it is a pitch.]