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Grade 12 Maths Lessons

Video Description
Lesson 1: Sequences and Series
In this lesson on Sequences and Series we focus on quadratic sequences, arithmetic sequences, geometric sequences and simultaneous equations.
Lesson 2: Sequences and Series: Sigma Notation and Sum to infinity
In this lesson on Sequences and Series we focus on working with arithmetic and geometric series, sigma notation, convergence, sum to infinity, problems using sequences and series as well as diagramatic problems.
Lesson 3: Grade 11 Revision: Functions
In this lesson on Functions & Transformations we focus on sketching the graphs of a straight line, parabola, hyperbola and exponential functions. We also look at finding the equations of various functions as well as answering interpretive questions
Lesson 4: Functions and Graphs
In this lesson on Functions and Graphs we focus on functional notation, relations, types of mappings, sketching functions and translations as well as average gradient.
Lesson 5: Inverse Functions and Graphs
In this lesson on Inverses and Functions we focus on how to find an inverse, how to sketch the inverse of a graph and how to restrict the domain of a function.
Lesson 6: Exponents and Logarithms
In this lesson on Exponents and Logarithms we focus on surds, simplifying exponents, solving exponential equations, simplifying using log law as well as solving exponential equations that require logarithms.
Lesson 7: Graphs: From Linear to Log
In this lesson on Graphs we focus on solving basic logarithmic equations, sketching and finding the equations of logarithmic and exponential curves. We also take a look at transformations of these graphs and inverses.
Lesson 8: Grade 11 Revision: Financial Maths
In this lesson on Financial Maths we focus on simple and compound interest as well as depreciation.
Lesson 9: Financial Maths
In this lesson on Financial Maths we focus on annuities, loans and calculating time periods.
Lesson 10: Trigonometry Identities / Transformations
In this lesson on Trigonmetry Identities and Transformations we focus on compound angles, reduction, double angles and general solution.
Lesson 11: Trigonometry
In this lesson on Trigonometry we take a look at compound angles and transformations.
Lesson 12: 3D Trigonometry
In this lesson on 3D Trigonometry we focus on using the sine, cosine and area rules as well as working with 2D and 3D figures. We also take a look at using compound angles to solve 2D and 3D questions.
Lesson 13: Introduction to Differential Calculus
This lesson is an introduction to Differential Calculus. We focus on functional notation, average gradient, limits, derivative from first principles and rules.
Lesson 14: Calculus Applications I
In this lesson on Calculus Applications we focus on tangents to a curve, remainder and factor theorem, sketching a cubic function as well as graph interpretation.
Lesson 15: Calculus Applications II
In this lesson on Calculus Applications we focus on graph interpretation, maxima and minima problems as well as rates of change.
Lesson 16: Grade 11 Revision: Analytical Geometry
In this lesson on Analytical Geometry we focus on length of a line segment, midpoint of a line segment, gradient of a line, inclination and equation of a straight line.
Lesson 17: Co-Ordinate Geometry: Circles and Tangents
In this lesson on Co-ordinate Geometry and we focus on circles and tangents. We also focus on skills such as deriving formulas, using pythagoras as well as completing the square.