Grade 12 Mathematics - Seventh Star

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Grade 12 Mathematics Live Stream

Grade 12 Mathematics - Past Streams 28 Lessons

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GR12M - LS - 17.01.2023 - Sequences and Series - Arithmetic and Geometric Sequences and Series

GR12M - LS - 31.01.2023 - Functions and Inverses, Sequences and Series - Exponential Function and Logarithms, Consolidated Examples

GR12M - LS - 07.02.2023 - Polynomials, Calculus and Trigonometry - Factorising Polynomials and Calculus Introduction

GR12M - LS - 14.02.2023 - Calculus - Calculus First Principles, Definition of the Derivative and Cubic Functions

GR12M - LS - 21.02.2023 - Calculus - Applications of Calculus and Optimisation

GR12M - LS - 28.02.2023 - Calculus - Applications of Calculus 2 Applications of Cubic Functions

GR12M - LS - 07.03.2023 - Calculus - Applications of Calculus

GR12M - LS - 14.03.2023 - Trigonometry - Compound Angles, Double Angles and Special Angles

GR12M - LS - 28.03.2023 - Analytical Geometry and Trigonometry - The Circle and Tangents Compound Angles, Double Angles and Special Angles

GR12M - LS - 04.04.2023 - Trigonometry - Consolidated Examples

GR12M - LS - 11.04.2023 - Trigonometry - Consolidated Examples

GR12M - LS - 18.04.2023 - Euclidean Geometry - Proportionality and Ratios of Areas

GR12M - LS - 25.04.2023 - Analytical Geometry - Consolidated Examples

GR12M - LS - 03.05.2023 - Analytical Geometry - Equation of the Circle

GR12M - LS - 16.05.2023 - Functions - Applications of Calculus: 1 Sketching Cubic Functions

GR12M - LS - 30.05.2023 - Mid-Year Exam Revision - Paper 1

GR12M - LS - 13.06.2023 - Euclidean Geometry - Proportionality and Ratios of Areas

GR12M - LS - 27.06.2023 - Calculus - Consolidated Examples

GR12M - LS - 04.07.2023 - Paper 1 - June Examination Revision

GR12M - LS - 18.07.2023 - Sequences and Series - Consolidated Examples

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Revision: Grade 11 Equations and Inequalities 7 Lessons

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Equations that Can and Can’t Factorise

Completing the Square

Nature of the Roots

Simultaneous Equations

Surds and Equations with Surds

Quadratic Inequalities

Consolidated Examples

Revision: Grade 11 Exponents 5 Lessons

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Exponential Equations

Equations with Rational Exponents

Surds and Rationalising the Denominator

Simplifying Exponential Expressions

Consolidated Examples

Functions and Inverses 5 Lessons

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Straight Line, Parabola and Inverses

Logarithms and Log Laws

The Exponential Function and Logarithm

Interpretation of Graphs and Restrictions of Functions

Consolidated Examples

Sequences and Series 6 Lessons

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Arithmetic Sequences and Series

Geometric Sequences and Series

Quadratic Number Patterns

Sigma Notation

Basic Consolidated Examples

Advanced Consolidated Examples

Calculus 11 Lessons

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Definition of the Derivative

First Principles Formula

Rules of Differentiation

Gradient of a Tangent

The Graph of the Derivative of a Function

Polynomials: Factor and Remainder Theorem

Applications of Calculus 1: Sketching Cubic Functions

Applications of Calculus 2: Applications of Cubic Functions

Applications of Calculus 3: Optimisation

Applications of Calculus 4: Consolidated Examples and Calculus of Motion

Consolidated Examples

Finance, Growth and Decay 4 Lessons

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Simple Interest, Compound Interest and Effective Interest Rate

Future Value and Present Value

Applications, Outstanding Balance, Final Instalment, Sinking Fund

Consolidated Examples

Revision: Grade 11 Probability 5 Lessons

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Venn Diagrams

Mutually Exclusive and Independent Events

Truth Tables

Tree Diagrams and Basic Probability

Consolidated Examples

Probability 4 Lessons

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Arrangement of Objects and Items

Factorials and Arrangements of Letters

Unique Digit Codes and the Fundamental Counting Principle

Consolidated Examples

Revision: Grade 11 Analytical Geometry 5 Lessons

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Angle of Inclination

Distance and Midpoint Formulae

Properties of Quadrilaterals

Straight Lines, Parallel Lines and Perpendicular Lines

Consolidated Examples

Analytical Geometry 4 Lessons

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Equation of the Circle

Circle Intersection and Finding the Equation of a Common Chord

Tangents to a Circle

Consolidated Examples

Revision: Grade 11 Circle Geometry 7 Lessons

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Theorem 1 - Line Drawn from Centre of Circle Perpendicular to the Chord

Theorems 2 to 4 - Angle at the Centre of Circle & Angle in a Semi-circle is 90 & Angles in the Same Circle Segment

Theorems 5 and 6 - Cyclic Quadrilaterals

Theorems 7 to 9 - The Radius is Perpendicular to Tangent & Two Tangents Drawn from the Same Point & Tan-chord Theorem

Basic Geometry Riders

Complex Geometry Riders, Proving a Cyclic Quadrilateral, Proving a Tangent

Consolidated Examples

Euclidean Geometry 5 Lessons

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Proportionality Theorem, Similarity and Ratios of Areas

Further Examples - Ratios and Proportions

Converse Theorem and Pythagorean Theorem

Consolidated Examples 1: Basic Examples

Consolidated Examples 2: Challenge Examples

Revision: Grade 11 Statistics 4 Lessons

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Mode, Median, Mean and Range, Quartiles and Interquartile Range

5 Number Summary and Box-and-whisker Plot, Skewness of Data

Cumulative Frequency Diagrams

Consolidated Examples

Statistics 2 Lessons

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Least Squares Regression Line and Correlation

Consolidated Examples

Trigonometry 9 Lessons

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Compound Angles, Double Angles and Special Angles

Reduction Formulae

Reduction Formulae and Triangle Problems

Trigonometric Identities

Trigonometric Equations

Trigonometric Graphs

Sine Rule, Area Rule and Cosine Rule and 3D Trigonometry

Triangle Problems

Consolidated Examples

Course Details

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