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ANNUITY

Home > My Courses > IB Mathematics Applications and Interpretation SL – Number and Algebra > ANNUITY
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An annuity is an investment where \( \mathtt{equal \ amounts} \) are contributed to an account \( \mathtt{at \ regular \ intervals} \).





IB Mathematics Applications and Interpretation SL - Number and Algebra

NUMBER SKILLS
Decimal Places
  • Video – Decimal Places (6:11)
  • Video – Ordering Decimals (9:45)
  • Video – Rounding a Decimal (6:46)
  • Topic – Round to One Decimal Place
  • Topic – Round to Two Decimal Places
  • Topic – Round to Three Decimal Places
  • Topic – Round to Four Decimal Places
  • Topic – Round to Zero Decimal Places
Scientific Notation
  • Video – Understanding Scientific Notation (6:31)
  • Video – Scientific Notation in Positive Exponents (4:39)
  • Video – Scientific Notation in Negative Exponents (3:42)
  • Video – Scientific Notation in Significant Figures (7:23)
  • Video – Converting Scientific Notation to Normal Numbers (2:19)
  • Topic – Valid Scientific Notations
  • Topic – Converting Basic Numerals to Scientific Notations
  • Topic – Basic Numerals to Scientific Notations in Two Significant Figures
  • Topic – Basic Numerals to Scientific Notations in Three Significant Figures
  • Topic – Converting Scientific Notations to Basic Numerals
  • Topic – Writing in Scientific Notations
  • Topic – Simplifying in Scientific Notations
  • Topic – Simplifying Fractions in Scientific Notations
Significant Figures
  • Video – Basics of Significant Figures (3:47)
  • Video – Understanding Significant Figures (8:15)
  • Video – Number of Significant Figures: Normal Numerals (4:06)
  • Video – Number of Significant Figures: Decimal Numbers (2:19)
  • Video – Rounding to Significant Figures (5:52)
  • Topic – How Many Significant Figures
  • Topic – Round Integers to One Significant Figure
  • Topic – Round Integers to Two Significant Figures
  • Topic – Round Integers to Three Significant Figures
  • Topic – Round Integers to Four Significant Figures
  • Topic – Round Decimal Numbers to One Significant Figure
  • Topic – Round Decimal Numbers to Two Significant Figures
  • Topic – Round Decimal Numbers to Three Significant Figures
  • Topic – Round Decimal Numbers to Four Significant Figures
Accuracy and Error
  • Video – Accuracy by Units (4:22)
  • Video – Accuracy by Rounding (1:43)
  • Video – Lower and Upper Bounds by Rounding (1:48)
  • Video – Lower and Upper Bounds by Units (6:09)
  • Topic – Range of Possible Values of Whole Numbers
  • Topic – Range of Possible Values of One Decimal Place
  • Topic – Range of Possible Values of Two Decimal Places
  • Topic – Range of Possible Values of One Significant Figure
  • Topic – Range of Possible Values of Two Significant Figures
  • Topic – Range of Possible Values of The Nearest 10
  • Topic – Range of Possible Values of The Nearest 50
  • Topic – Range of Possible Values of The Nearest 100
  • Topic – Range of Possible Values of Perimeters
  • Topic – Range of Possible Values of Area
  • Topic – Range of Possible Values of Volumes
Estimation and Approximation
  • Video – Theory of Error & Estimation (6:25)
  • Video – Finding Errors & Estimations (3:39)
  • Topic – Finding (Absolute) Error
  • Topic – Finding Relative Error
  • Topic – Finding Percentage Error
ARITHMETIC SEQUENCES AND SERIES
Arithmetic Sequences
  • Video – Identifying Arithmetic Sequences (2:40)
  • Video – Finding the First Term and Common Difference (2:49)
  • Video – Finding a Term from a Rule of Arithmetic Sequence (3:41)
  • Video – Understanding Formula of Sequences (8:10)
  • Video – Set up a Rule of Arithmetic Sequence (5:16)
  • Video – Calculating Number of Terms of Arithmetic Sequence (2:29)
  • Topic – Verifying Arithmetic Sequences
  • Topic – First Terms and Common Differences of Arithmetic Sequences
  • Topic – Following Terms of Arithmetic Sequences
  • Topic – Missing Terms of Arithmetic Sequences
  • Topic – General Terms or Formulas of Arithmetic Sequences
  • Topic – Terms of Arithmetic Sequences
  • Topic – Checking Terms of Arithmetic Sequences
  • Topic – Term Orders of Arithmetic Sequences
  • Topic – Unknowns in Consecutive Arithmetic Terms
Arithmetic Sequence Problems
  • Video – Applications of Arithmetic Sequences (2:42)
  • Video – Understanding Arithmetic Sequences (6:08)
  • Video – Finding General Terms (6:50)
  • Video – Finding The First Term (1:56)
  • Video – Finding Common Differences (5:22)
  • Video – Finding Number of Terms of Arithmetic Sequence (3:00)
  • Video – Finding Terms of Arithmetic Sequences (5:54)
  • Video – Finding Number of Terms of Arithmetic Sequence involving Last Term (4:29)
Sigma Notation for Sums of Arithmetic Sequences
  • Video – Sigma Notation of Arithmetic Series (10:30)
  • Topic – Matching Sigma Notations and Number Series
  • Topic – Arithmetic Series in Sigma Notations
  • Topic – Last Order of Sigma Notations
  • Topic – Constant Series in Sigma Notations
Arithmetic Series
  • Video – Sum of an Arithmetic Series (6:04)
  • Video – Set up Sum Formula of Arithmetic Series (4:35)
  • Video – Finding Sum using Formula of Arithmetic Series (4:18)
  • Video – Finding Terms from Sum of Arithmetic Sequences (4:46)
  • Video – Sum of Arithmetic Series using the First and Last Terms (4:32)
  • Video – Sum of Arithmetic Series using the Formula (3:02)
  • Video – Sum of Arithmetic Series using General Term (6:10)
  • Video – Finding Common Difference from Sum of Arithmetic Series (5:07)
  • Video – Number of Terms of Arithmetic Series (6:22)
GEOMETRIC SEQUENCES AND SERIES
Geometric Sequences
  • Video – Identifying Geometric Sequences (2:24)
  • Video – Introduction to Geometric Sequences (5:17)
  • Video – General Term of Geometric Sequences (7:51)
  • Video – Negative Common Ratio in Geometric Sequences (2:24)
  • Video – Finding the Term of Geometric Sequences (2:55)
  • Video – Finding the number of Terms of Geometric Sequences (2:39)
  • Video – Finding the First Term and Common Ratio (3:14)
  • Video – Finding a Term from a Rule of Geometric Sequence (4:16)
  • Video – Set up a Rule of Geometric Sequences (3:56)
Geometric Sequence Problems
  • Video – Compound Interest (7:06)
  • Video – Middle Term of Geometric Sequences (4:20)
  • Video – Conditions of Geometric Sequences (4:24)
  • Video – Middle Terms of Geometric and Arithmetic Sequences (7:31)
Geometric Sequences using Logarithms
  • Video – Geometric Sequence using Logarithms: Largest 6 Digit Term (11:36)
  • Video – Geometric Sequence using Logarithms: Smallest 4 Digit Term (4:16)
  • Video – Geometric Sequence using Logarithms: Number of Terms (3:15)
Geometric Series
  • Video – Set up a Sum Formula of Geometric Series (3:22)
  • Video – Finding the Sum using a Formula of Geometric Series (4:43)
  • Video – Number of Terms of Geometric Series (6:19)
  • Video – Geometric Series using Formula (3:13)
  • Video – Geometric Series Formula (3:34)
  • Video – Geometric Series involving Tricky Common Ratios (6:02)
Geometric Series Problems
  • Video – Listing Terms of Geometric Series (2:44)
  • Video – Geometric Series involving Sums and Common Ratios (5:26)
Geometric Series using Logarithms
  • Video – Geometric Series using Logarithms (5:11)
  • Video – Inequalities involving Geometric Series (5:53)
Sigma Notation for Sums of Geometric Sequences
  • Video – Sigma Notation of Geometric Series (6:04)
  • Topic – Geometric Series in Sigma Notations
  • Topic – Expanding Geometric Series in Sigma Notation
  • Topic – Evaluating Geometric Series in Sigma Notation 1
  • Topic – Evaluating Geometric Series in Sigma Notation 2
  • Topic – Evaluating Geometric Series with Coefficients in Sigma Notation
  • Topic – Evaluating Geometric Series using Formula 1
  • Topic – Evaluating Geometric Series using Formula 2
FINANCIAL MATHEMATICS
Compound Interest
  • Video – Understanding Compound Interest (9:29)
  • Video – Compound Interest Annually (0:44)
  • Video – Compound Interest Quarterly (1:58)
  • Video – Compound Interest Monthly (1:20)
  • Video – Compound Interest Daily (1:41)
  • Video – Application of Compound Interests (4:20)
  • Video – Appreciation using Compound Interest (3:08)
  • Video – Finding Unknown Values of Geometric Sequences (6:05)
Depreciation in Value
  • Video – Depreciation (4:36)
  • Topic – Finding Future Values after Depreciations
  • Topic – Finding Depreciations
  • Topic – Finding Future Values Varying Periods
  • Topic – Finding Present Values from Future Values
EXPONENTS
Powers and Bases
  • Topic – Powers & Bases
  • Topic – Factor Form
  • Topic – Multiple Index Form
  • Topic – Writing Index Form from Normal Numerals
  • Topic – Writing Index by Factorising Normal Numerals in Two bases
  • Topic – Writing Index by Factorising Normal Numerals in Three Bases
Multiplication using Exponents
  • Video – Index Law of Addition (6:17)
  • Video – Index Equations using Index Law of Addition (3:17)
  • Video – Evaluation using Index Law of Addition (5:12)
  • Video – Simplification using Index Law of Addition (3:32)
  • Video – Addition Law of Exponents (4:12)
  • Video – Multiplication using Indices (3:32)
  • Topic – Equations by Adding Indices
  • Topic – Simplifying by Adding Indices
  • Topic – Evaluation by Adding Indices
Division using Exponents
  • Video – Simplification of Exponent in Fractions (2:24)
  • Video – Index Law of Subtraction (5:51)
  • Video – Simplification using Index Law of Subtraction (1:54)
  • Video – Mixed Simplification using Index Law of Subtraction (4:58)
  • Video – Evaluation using Index Law of Subtraction (4:14)
  • Video – Subtraction Law of Exponents (3:26)
  • Video – Division using Indices (5:20)
  • Topic – Simplifying by Subtracting Indices
  • Topic – Simplifying by Adding and Subtracting Indices
  • Topic – Evaluation by Subtracting Indices
Zero Index
  • Video – Index Law of Zero Power (5:52)
  • Video – Further Index Law of Zero Power (3:58)
  • Video – Zero Exponents (2:26)
  • Video – Index Equations Involving Zero Indices (1:45)
  • Topic – Zero Indices
Raising a Power to Another Power
  • Video – Index Law of Powers (4:35)
  • Video – Simplification using Index Law of Powers (6:53)
  • Video – Evaluation using Index Law of Powers (6:37)
  • Video – Index Law of Raising a Power to Another Power (4:19)
  • Video – Raising a Power to Another Base (5:27)
  • Video – Raising a Power to Another Indices (5:56)
  • Topic – Equations involving Power of Power
  • Topic – Simplifying by Power of Power
  • Topic – Evaluation by Power of Power
Negative Exponents
  • Video – Writing in Negative Exponents (7:40)
  • Video – Equations involving Negative Exponents (2:03)
  • Video – Writing in Positive Exponents (2:28)
  • Video – Expressing in Positive Exponents (4:08)
  • Video – Fractions to Index Form in Positive Exponents (2:27)
  • Video – Simplifying Positive Exponents (4:05)
  • Video – Mixed Simplification involving Negative Exponents (2:26)
  • Video – Evaluating Negative Exponents (3:39)
  • Video – Quadratic Equations involving Negative Indices (1:05)
  • Topic – Rational Fractions and Negative Indices
  • Topic – Handling Negative Indices
  • Topic – Expressing with Negative Indices
Negative Bases
  • Video – Index Notation using Negative Bases (7:27)
  • Video – Negative Bases in Index Form (3:49)
  • Topic – Odd Power and Even Power of Negative Bases
  • Topic – Negative Bases in Brackets
Algebraic Expansion with Exponents
  • Video – Algebraic Expansions of Exponents (5:17)
  • Video – Expanding Binomial Terms of Exponents (8:16)
  • Topic – Algebraic Expansions with Exponents
  • Topic – Algebraic Expansions with Exponents involving Binomial Terms
  • Topic – Algebraic Expansions with Exponents involving Squaring Terms
  • Topic – Algebraic Expansions with Exponents involving Difference of Squares
Algebraic Factorisation with Exponents
  • Video – Factorise by Common Factors of Exponents (4:16)
  • Video – Quadratic Factorise of Exponents (5:02)
  • Video – Simplification of Exponents in Rational Expressions (2:37)
  • Topic – Algebraic Factorise with Exponents
  • Topic – Algebraic Factorise with Exponents involving Constants
  • Topic – Algebraic Factorise with Exponents involving Common Exponents
  • Topic – Algebraic Factorise with Exponents involving Difference of Squares
  • Topic – Algebraic Factorise with Exponents involving Complete Squares
  • Topic – Algebraic Factorise with Exponents involving Quadratic Trinomials
  • Topic – Simplifying Algebraic Expressions involving Exponents
Exponential Equations
  • Video – Basic Exponential Equations (2:03)
  • Video – Exponential Equations involving Negative Exponents (1:40)
  • Video – Exponential Equations involving Rational Exponents (3:35)
  • Video – Exponential Equations by Changing Bases (2:25)
  • Video – Indicial Equations by Changing the Base (7:19)
  • Video – Exponential Equations involving Surds (7:09)
  • Video – Indicial Equations Involving Linear Equations (1:11)
  • Video – Reducible Quadratic Equations of Indices in Factored Form (4:18)
LOGARITHMS
Logarithms in Base 10
  • Video – Simplifying Logarithms in base 10 (4:43)
  • Video – Finding Exponents using Logarithms in base 10 (5:26)
  • Video – Equations involving Logarithms in base 10 (2:36)
  • Topic – Logarithms Base 10
  • Topic – Logarithms Base 10 involving Decimal Numbers
  • Topic – Logarithms Base 10 involving Surds
  • Topic – Logarithms Base 10 involving Surds & Rational Form
  • Topic – Logarithms Base 10 involving Indices
  • Topic – Logarithms Base 10 involving Equations
Logarithm Definition
  • Video – Index Statements to Log Statements (4:30)
  • Video – Log Statements to Index Statements (3:16)
  • Video – Basic Equations involving Logarithms (2:08)
  • Video – Finding Bases from Logarithms (2:36)
  • Video – Finding Logarithmic Values (3:46)
  • Video – Domain of Logarithmic Functions (5:02)
Natural Logarithms
  • Video – Equivalent Natural Logarithms (4:14)
  • Topic – Calculating Natural Logarithms
  • Topic – Calculating Powers of Natural Bases
  • Topic – Calculating Logarithmic Powers of Natural Bases
  • Topic – Solving Natural Logarithmic Equations
ANNUITY
Future Value of an Annuity
  • Video – Understanding Annuity (3:09)
  • Video – Annuity Example (4:34)
  • Video – Annuity Question (3:04)
  • Video – Future Value of an Annuity Compounded Annually (3:34)
  • Video – Future Value of an Annuity Compounded Half Yearly (1:37)
  • Video – Future Value of an Annuity Compounded Quarterly (1:04)
  • Video – Future Value of an Annuity Compounded Monthly (1:00)
  • Video – Future Value of an Annuity Compounded Weekly (1:09)
  • Video – Future Value of an Annuity Compounded Fortnightly (1:34)
Application of Future Value of an Annuity
  • Video – Interests Earned from an Annuity Compounded Annually (4:22)
  • Video – Interests Earned from an Annuity Compounded Quarterly (2:23)
  • Video – Understanding Contributions Needed for Annuity (5:28)
  • Video – Contributions Needed for Annuity Compounded Annually (1:13)
  • Video – Contributions Needed for Annuity Compounded Quarterly (1:37)
  • Video – Contributions Needed for Annuity Compounded Monthly (1:47)
  • Video – Future Value using $1 Annuity Table (2:37)
  • Video – Annuity Values by $1 Annuity Table (2:43)
  • Video – Interest Earned by Annuity (2:19)
Present Value of an Annuity
  • Video – Present Value using Future Value Compounded Annually (4:01)
  • Video – Present Value using Future Value Compounded Half Yearly (1:48)
  • Video – Present Value using Future Value Compounded Quarterly (0:54)
  • Video – Present Value using Future Value Compounded Monthly (3:20)
  • Video – Present Value using Future Value Compounded Weekly (0:57)
  • Video – Present Value using Contributions Compounded Annually (8:31)
  • Video – Present Value using Contributions Compounded Monthly (1:20)
  • Video – Present Value using Contributions Compounded Quarterly (2:22)
Using Tables for Annuity Problems
  • Video – Understanding Present Value using $1 Annuity Table (2:32)
  • Video – Present Value using $1 Annuity Table Compounded Annually (0:47)
  • Video – Present Value using $1 Annuity Table Compounded Half Yearly (1:05)
  • Video – Present Value using $1 Annuity Table Compounded Quarterly (1:01)
Annuity Investments
  • Topic – Superannuation Compounded Annually Deposit Annually 1
  • Topic – Superannuation Compounded Annually Deposit Annually 2
  • Topic – Superannuation Compounded Monthly Deposit Monthly 1
  • Topic – Superannuation Compounded Monthly Deposit Monthly 2
  • Topic – Superannuation at Annual Interest Rate Deposit Monthly 1
  • Topic – Superannuation at Annual Interest Rate Deposit Monthly 2
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