Compound Interest Made Simple
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Compound Interest Made Simple
🎯 WALT (We Are Learning To)
Understand and use the compound interest formula A = P(1 + r/n)^(nt)
✅ Success Criteria:
• I can identify each part of the compound interest formula
• I can substitute values into the formula
• I can calculate compound interest for real savings scenarios
📊 The Formula Breakdown
A = P(1 + r/n)^(nt)
💰 A = _________________ (the final amount you'll have)
🏦 P = _________________ (the money you start with)
📈 r = _________________ (interest rate as a decimal)
🔄 n = _________________ (how often interest is added per year)
⏰ t = _________________ (number of years)
What does P represent?
Principal (starting amount) Profit PercentageIf interest is calculated monthly, what is n?
1 12 365💡 Part 2: Working with Real Numbers
Example: Sarah saves $1000 at 5% interest per year, compounded annually for 3 years.
P = $1000, r = 0.05, n = 1, t = 3
A = 1000(1 + 0.05/1)^(1×3) = 1000(1.05)³ = $1157.63
Jake invests $2000 at 4% interest, compounded annually for 5 years.
P = $________ r = ________ n = ________ t = ________
A = 2000(1 + 0.04/1)^(1×5) = 2000(1.04)⁵ = $________
Interest earned = Final amount - Starting amount = $________ - $________ = $________
Compound interest means you earn interest on your interest
True FalseThe more frequently interest compounds, the more money you earn
True False🚀 Part 3: Your Turn
Hint: Monthly compounding means n = 12
P = $________ r = ________ n = ________ t = ________
Final amount: $________
Option A: $1000 at 7% for 1 year, compounded annually
Option B: $1000 at 6.5% for 1 year, compounded monthly
I choose Option ________ because ________________________________
🌟 Extension Challenge (Advanced Learners)
Bank name: _________________ Interest rate: _______% Compounding: _________
Calculate how much $5000 would grow to in 10 years with this account:
📝 Reflection
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