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OB-GRADE 12 MATHEMATICS ONLINE BOOK (OB06)


Description

Welcome to this comprehensive online mathematics resource! Whether you are a learner seeking to strengthen your understanding of mathematics, a teacher looking for new teaching strategies, or a lifelong learner exploring the beauty of mathematics, this book is designed to meet your needs.


Mathematics is not just about numbers and equations; it is a language of logic and a tool for solving real-world problems. Throughout this book, you will find a variety of topics ranging from fundamental concepts to advanced theories, all presented in an accessible and engaging manner. Each section includes clear explanations, illustrative examples, and practice problems to reinforce your learning.


Our goal is to foster a deep appreciation for mathematics and empower you to apply these skills in everyday life. Let us embark on this journey together, unlocking the fascinating world of mathematics one concept at a time!


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TOPICS

- Sequences and series

- Functions (Inverses and logarithms)

- Financial Mathematics

- Algebra, differential calculus, curve sketching and optimisation

- The counting principle and probability

- Trigonometry

- Analytical/Coordinate Geometry

- Euclidean Geometry

- Statistics


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UNITS


- Text explanations

- Video tutorial explanations

- Interactive examples

- Interactive activities

- Assignments

Content
  • SEQUENCES AND SERIES
  • LESSON: QUADRATIC SEQUENCES (GRADE 11 REVISION)
  • LESSON: ARITHMETIC SEQUENCES
  • ARITHMETIC SEQUENCES: ASSIGNMENT 1.1.1
  • ARITHMETIC SEQUENCES: ASSIGNMENT 1.1.2
  • ARITHMETIC SEQUENCES: ASSIGNMENT 1.1.3
  • LESSON: ARITHMETIC SERIES AND SIGMA NOTATION
  • ARITHMETIC SERIES AND SIGMA NOTATION: ASSIGNMENT 1.7.1
  • GEOMETRIC SEQUENCES
  • GEOMETRIC SEQUENCES: ASSIGNMENT 1.2.1
  • GEOMETRIC SEQUENCES: ASSIGNMENT 1.2.2
  • GEOMETRIC SEQUENCES: ASSIGNMENT 1.2.3
  • GEOMETRIC SEQUENCES: ASSIGNMENT 1.2.4
  • GEOMETRIC SEQUENCES: ASSIGNMENT 1.2.5
  • LESSON: SERIES
  • LESSON: SIGMA NOTATION
  • LESSON: WRITING SERIES IN SIGMA NOTATION
  • SIGMA NOTATION: ASSIGNMENT 1.5.1
  • SIGMA NOTATION: ASSIGNMENT 1.5.2
  • SIGMA NOTATION: ASSIGNMENT 1.5.3
  • LESSON: ARITHMETIC SERIES-INTRODUCTION
  • LESSON: ARITHMETIC SERIES-CONTINUED
  • ARITHMETIC SERIES: ASSIGNMENT 1.6.1
  • ARITHMETIC SERIES: ASSIGNMENT 1.6.2
  • LESSON: GEOMETRIC SERIES-INTRODUCTION
  • LESSON: GEOMETRIC SERIES-CONTINUED
  • GEOMETRIC SERIES-ASSIGNMENT 1.8.1
  • GEOMETRIC SERIES-ASSIGNMENT 1.8.2
  • GEOMETRIC SERIES-ASSIGNMENT 1.8.3
  • GEOMETRIC SERIES-ASSIGNMENT 1.8.4
  • LESSON: GEOMETRIC SERIES AND SIGMA NOTATION
  • LESSON: SUM TO INFINITY
  • FUNCTIONS
  • LESSON: WHAT IS A FUNCTION?
  • TEST: WHAT IS A FUNCTION?
  • LESSON: FUNCTIONAL NOTATION
  • LESSON: INVERSE FUNCTIONS
  • LESSON: INVERSES OF ONE-TO-ONE LINEAR FUNCTIONS
  • ASSIGNMENT 2.2.1
  • SUBMIT: ASSIGNMENT 2.2.1 (a)
  • SUBMIT: ASSIGNMENT 2.2.1 (b)
  • SUBMIT: ASSIGNMENT 2.2.1 (c)
  • LESSON: INVERSES OF MANY-TO-ONE QUADRATIC FUNCTIONS
  • LESSON: RESTRICTING THE DOMAIN AND RANGE
  • LESSON: EXPONENTIAL AND LOGARITHMIC FORMS
  • LESSON: LOGARITHMIC FUNCTIONS
  • FINANCIAL MATHEMATICS
  • CALCULATING n
  • ASSIGNMENT 3.1.1
  • FUTURE VALUE ANNUITIES
  • ASSIGNMENT 3.2.1
  • ASSIGNMENT 3.3.1
  • ASSIGNMENT 3.4.1
  • PRESENT VALUE ANNUITIES
  • ASSIGNMENT 3.5.1
  • CALCULATING THE OUTSTANDING BALANCE
  • ASSIGNMENT 3.6.1
  • LOANS WITH DELAYED PAYMENTS (DEFERRED PAYMENTS)
  • ASSIGNMENT 3.7.1
  • LAST PAYMENTS WITH REDUCED VALUES
  • ASSIGNMENT 3.8.1
  • COMPARING INVESTMENT AND LOAN OPTIONS
  • PYRAMID SCHEMES
  • TRIGONOMETRY
  • LESSON 01: PROOFS OF THE COMPOUND ANGLE FORMULAE
  • TEST 01: PROOFS-THE COMPOUND ANGLE FORMULAE
  • LESSON 02: COMPOUND ANGLE FORMULAE-EXAMPLES
  • ACTIVITY 01: THE COMPOUND ANGLE FORMULAE
  • ASSIGNMENT 01: THE COMPOUND ANGLE FORMULA
  • LESSON 03: PROOFS OF THE DOUBLE ANGLE FORMULAE
  • LESSON 04: MIXED EXAMPLES WITH DOUBLE AND COMPOUND ANGLES
  • LESSON 05: IDENTITIES INVOLVING COMPOUND AND DOUBLE ANGLE FORMULAE
  • TRIGONOMETRIC EQUATIONS-GRADE 11 REVISION
  • TRIGONOMETRIC EQUATIONS-DOUBLE AND COMPOUND ANGLE FORMULAE
  • RESTRICTIONS ON IDENTITIES AND TRIGONOMETRIC EQUATIONS
  • TRIGONOMETRIC FUNCTIONS
  • TW0- AND THREE DIMENSIONAL TRIGONOMETRY
Completion rules
  • All units must be completed