Public learning track
Annuities, Loan Amortization, and Progressive Taxation
10th Grade · Math · Open Global Math
5 lessons
Goal
Analyze ordinary annuities, calculate regular payments and future values of sinking funds, model loan repayments, and compute progressive income taxes.
Featured Diagrams
Future Value of Ordinary Annuities and Sinking Funds
5 lessons
0 of 5 done
- 1Future Value of Ordinary Annuities and Sinking FundsUp nextStart
- 2Present Value of Annuities and Lump-Sum EquivalencesPremiumNot started yet
- 3Loan Amortization Schedules and Periodic Mortgage PaymentsNot started yet
- 4Progressive Income Taxation: Marginal Rates and BracketsNot started yet
- 5Inflation Adjustments, Real Interest Rates, and Purchasing PowerNot started yet
Curriculum Framework
10th Grade · Math · Open Global Math
1
8 lessons
Real Number Foundations, Density, and Decimal Expansions
Analyze the structural properties of real numbers, prove irrationality, explore set density, and convert recurring decimal expansions into exact rational forms.
2
5 lessons
Indices, Fractional Powers, and Radical Equivalences
Master integer and fractional exponent laws, convert between radical and exponential notation, and evaluate algebraic expressions with rational exponents.
3
7 lessons
Surds and Exact Radical Calculations
Simplify surds, perform arithmetic operations with radical expressions, expand binomial surds, and rationalize single and binomial denominators.
4
5 lessons
Scientific Notation, Significant Figures, and Order of Magnitude
Perform multi-step arithmetic operations with numbers in scientific notation and solve real-world scientific and astronomical scale problems.
5
5 lessons
Upper and Lower Bounds, Accuracy, and Error Intervals
Calculate bounds of rounded numbers and determine error propagation across multi-step arithmetic, geometric, and physical calculations.
6
7 lessons
Advanced Ratios, Proportionality, and Compound Units
Solve complex multi-part ratio problems, model direct and inverse proportion algebraically, and compute compound measures involving speed, density, and pressure.
7
7 lessons
Percentage Change, Compound Interest, and Depreciation
Solve multi-step percentage change and reverse percentage problems, and model compound growth and depreciation over varying compounding intervals.
8
5 lessons
Annuities, Loan Amortization, and Progressive Taxation
Analyze ordinary annuities, calculate regular payments and future values of sinking funds, model loan repayments, and compute progressive income taxes.
9
6 lessons
Arithmetic Sequences and Series
Derive explicit and recursive formulas for arithmetic sequences, calculate partial sums using sigma notation, and model linear progression phenomena.
10
7 lessons
Geometric Sequences and Infinite Series
Formulate explicit terms of geometric progressions, evaluate finite and infinite geometric series, and model exponential growth and annuity structures.
11
6 lessons
Quadratic and Non-Linear Sequences
Analyze sequence difference patterns, derive nth-term quadratic formulas, and explore cubic, geometric, and recursive sequence models.