Pure Mathematics Made Easy - Grade 12 Level

This is a perfect solution to your extra class dilemma

What you'll learn

Solve for x quadratic , linear, exponential, and Surd equations

Quadratic Equations :Completing the Square

Quadratic Equations :Using Quadratic Formula

Simplifying Surds

Simplifying Exponents

Simultaneous equations : Solving for x and y

Exam examples

Requirements

No requirements or prerequisites needed.

Description

Mathsol Academy adheres to its mission of providing quality education through affordable online class videos. Formed in 2017 as a response to the growing need for non-traditional learning that promotes self-discovery. Our lectures are created in a friendly manner to capture the student's interest.Targets Market:This course is intended for purchase by adults (Parent or guardian) for their children.What this Course teach:Mathsol Academy tutorial videos prepare learners for exams and also increase their confidence in mathematics . This course consists of 149 lectures. It covers  the following topics:AlgebraSolve for x quadratic , linear, exponential, and Surd equationsQuadratic Equations :Completing the SquareQuadratic Equations :Using Quadratic FormulaSimplifying SurdsSimplifying ExponentsSimultaneous equations : Solving for x and yExam examplesPatterns , Sequences, and SeriesArithmetic SequenceArithmetic SeriesGeometric SequenceGeometric SeriesInfinite Geometric SeriesQuadratic PatternExam examplesGraphs & FunctionsStraight line GraphsGraphs & Functions -Exponential FunctionsGraphs & Functions -Hyperbolic FunctionsGraphs & Functions -Hyperbola and straight line graphGraphs & Functions -Parabola functionGraphs & Functions – Linear and Quadratic functionsExam examplesAnalytical GeometryGradients, Distances, MidpointsEquations of straight linesParallel and Perpendicular linesEquations to tangentEquations of Circle at origin and any centerand MoreExam ExamplesFinance MathematicsSimple InterestCompound Interest and more calculationsExam examplesTrigonometryTrigonometry IdentitiesProving Trigonometric Identities ( LHS = RHS)Trigonometry | Right Angles Triangles | Theorem Of PythagorasTrigonometry – Finding General SolutionsTrigonometry RatiosExam examplesDifferential CalculusFinding Derivate Using/From First PrinciplesFinding Derivate Using Power RuleCubic Functions/Curve SketchingPoint of inflectionLong Division method and Synthetic DivisionExam examplesStatisticsMean , mode , medianQuartilesBox and WhiskerProbabilityExam Questions(2018 Paper)Are there any course requirements or prerequisites?No requirements or prerequisites needed.Who this course is for:High school pure mathematics learnersThose who want to improve their mathematical solving skillsGrade 12 learners .

Overview

Section 1: Algebra

Lecture 1 Preview video

Lecture 2 Writing an infinite recuring decimal as a fraction

Lecture 3 Algebraic Expressions - Adding & subtracting fractions

Lecture 4 Algebraic Fractions

Lecture 5 Factorizing

Lecture 6 Finding Product

Lecture 7 Simplifying Exponents

Lecture 8 Exponents - Solve for x when x is in the base

Lecture 9 Exponents - Solve for x when x is in the exponent

Lecture 10 Solve for x linear equations

Lecture 11 Solving for x - Linear and Surd Equations

Lecture 12 Solve for x surd and linear equations

Lecture 13 Solve for x quadratic , linear, exponential, and Surd equations

Lecture 14 Solving for x - Quadratic and Surd Equations

Lecture 15 Solve for x quadratic equations by factorizing Example 1

Lecture 16 Solve for x quadratic equations by factorizing Example 2

Lecture 17 Solving for x Quadratic Equations by completing the square

Lecture 18 Solving Simultaneous Linear Equations - Using Elimination Method

Lecture 19 Solving Simultaneous Linear Equations - Using Equating Method

Lecture 20 Solving Simultaneous Linear Equations - Using Substitution Method

Lecture 21 Simultaneous equations

Lecture 22 2015 November P1 Question 1 - Algebra Questions

Lecture 23 2016 November P1 Question 1 - Algebra Questions

Lecture 24 2018 November P1 Question 1 - Algebra Questions

Lecture 25 2018 November P1 Question 2 - Algebra Questions

Section 2: Sequence and Series

Lecture 26 Arithmetic Sequence – Find next term and general formula

Lecture 27 Arithmetic Sequence in terms of x – Find x

Lecture 28 Arithmetic Sequence – Given last term- Find number of terms n

Lecture 29 Arithmetic series – given sum of the series, Calculate the number of terms

Lecture 30 Arithmetic series – Calculate Sum of the first n terms of the series

Lecture 31 Arithmetic series – Calculate the sum of the Arithmetic series

Lecture 32 Geometric Sequence – Find next term and general formula

Lecture 33 Geometric Sequence – Given last term, Find number of terms n

Lecture 34 Geometric Series – Calculate the sum to infinity

Lecture 35 Geometric Series – Show if the Geometric Series Converges or Diverges

Lecture 36 Quadratic pattern – Finding the next term

Lecture 37 Quadratic pattern – Finding general formula Tn

Lecture 38 Quadratic pattern – Given last term, Find number of terms n

Lecture 39 2018 November P1 Question 4 - Quadratic Pattern Questions

Lecture 40 2018 November P1 Question 3 - Arithmetic Pattern Questions

Lecture 41 2021 November P1 Question 4 - Arithmetic Pattern Questions

Lecture 42 2021 November P1 Question 2 - Geometric Pattern Questions

Lecture 43 2021 November P1 Question 3 - Quadratic Number Pattern Questions

Section 3: Graphs and Functions

Lecture 44 Linear graphs – Finding intercepts then drawing the graphs example 1

Lecture 45 Linear graphs – Finding intercepts then drawing the graphs example 2

Lecture 46 Linear graphs – find equation given two points in the straight line Example 1

Lecture 47 Linear graphs – find equation given two points in the straight line Example 2

Lecture 48 Linear Graphs Questions - 2022 November P1 Question 5

Lecture 49 Exponential graphs – Intercepts ,asymptotes, and drawing the graph example 1

Lecture 50 Exponential graphs – Intercepts ,asymptotes, and drawing the graph example 2

Lecture 51 Exponential graphs – Inverse functions example 1

Lecture 52 Exponential graphs Questions – 2012 November P1 Question 4

Lecture 53 Exponential graphs Questions – 2014 November P1 Question 5

Lecture 54 Exponential graphs Questions – 2020 November P1 Question 5

Lecture 55 Exponential graphs Questions – 2021 November P1 Question 6

Lecture 56 Exponential graphs Questions – 2022 November P1 Question 4

Lecture 57 Parabolic functions - Intercepts, Turning Point, and drawing the graph Examp 1

Lecture 58 Parabolic functions - Intercepts, Turning Point, and drawing the graph Examp 2

Lecture 59 Parabolic functions - find equation, given Turning Point and one point examp 1

Lecture 60 Parabolic functions - find equation, given Turning Point and one point examp 2

Lecture 61 Parabolic Functions - Point of Intersection of Parabolic Function and Line graph

Lecture 62 Parabolic Function Questions - 2011 November P1 Question 6

Lecture 63 Parabolic Function Questions - 2012 November P1 Question 4

Lecture 64 Parabolic Function Questions - 2014 November P1 Question 6

Lecture 65 Parabolic Function Questions - 2018 November P1 Question 6

Lecture 66 Parabolic Function Questions - 2021 November P1 Question 7

Lecture 67 Parabolic Function Questions - 2022 November P1 Question 4

Lecture 68 Hyperbolic functions - Intercepts ,Asymptotes, and Drawing the Graph Example 1

Lecture 69 Hyperbolic functions - Intercepts ,Asymptotes, and Drawing the Graph Example 2

Lecture 70 Hyperbolic functions - Find Equation, given asymptotes and a point example 1

Lecture 71 Hyperbolic functions - Find Equation, given asymptotes and a point example 2

Lecture 72 Hyperbolic Function Questions - 2011 November P1 Question 5

Lecture 73 Hyperbolic Function Questions - 2018 November P1 Question 5

Lecture 74 Hyperbolic Function Questions - 2020 November P1 Question 4

Lecture 75 Hyperbolic Function Questions - 2021 November P1 Question 5

Lecture 76 Hyperbolic Function Questions - 2022 November P1 Question 4

Section 4: Analytical Geometry

Lecture 77 Straight Lines - Finding the coordinates of the midpoint Example 1

Lecture 78 Straight Lines - Finding the coordinates of the midpoint Example 2

Lecture 79 Straight Lines - Finding the coordinates of the midpoint Example 3

Lecture 80 Straight Lines - find a point given its midpoint and another point

Lecture 81 Straight Lines - Finding the distance between two points Example 1

Lecture 82 Straight Lines - Finding the distance between two points Example 2

Lecture 83 Straight Lines - Finding the distance between two points Example 3

Lecture 84 Straight Lines - Finding the Gradient Example 1

Lecture 85 Straight Lines - Finding the Gradient Example 2

Lecture 86 Straight Lines - Find Equation that passes through two points Example 1

Lecture 87 Straight Lines - Find Equation that passes through two points Example 2

Lecture 88 Parallel Straight Lines - Finding Equation of a straight Example 1

Lecture 89 Parallel Straight Lines - Finding Equation of a straight Example 2

Lecture 90 Straight Lines - Finding Angle of inclination of the straight line Example 1

Lecture 91 Straight Lines - Finding Angle of inclination of the straight line Example 2

Lecture 92 Circles - Finding Equation of a circle with any centre

Lecture 93 Analytical Geometry - November Exam Questions

Lecture 94 Analytical Geometry - 2021 November Question 3

Section 5: Finance and Growth

Lecture 95 Quick Intro - Simple Interest and Compound Interest

Lecture 96 Simple Interest – Calculating interest on a deposit i.e. Future value

Lecture 97 Simple Interest – Calculating the period or number of years

Lecture 98 Simple Interest – Calculating the Simple Interest Rate

Lecture 99 Simple Interest – Hire Purchase

Lecture 100 Simple Depreciation – Straight line depreciation method

Lecture 101 Compound Interest – Calculating the Compound Interest Rate

Lecture 102 Simple Vs Compound Interest – Comparing which investment account is better

Lecture 103 Compound Depreciation – Reducing balance method

Lecture 104 Finance and Growth - 2016 November Questions and Answers

Lecture 105 Finance and Growth - 2017 November Questions and Answers

Section 6: Differential Calculus

Lecture 106 First Principles Example 1

Lecture 107 First Principles Example 2

Lecture 108 Derivatives - Using power rule Example 1

Lecture 109 Derivatives - Using power rule Example 2

Lecture 110 Determine Dx

Lecture 111 Cubic functions – Finding intercepts Example 1

Lecture 112 Cubic functions - Long Division vs Synthetic Division example 1

Lecture 113 Cubic functions - Long Division vs Synthetic Division example 2

Lecture 114 Cubic functions – Finding Turning Points

Lecture 115 Cubic functions - drawing the graphs

Lecture 116 Cubic functions – Finding equation given turning point example 1

Lecture 117 Cubic functions – Finding equation given turning point example 2

Lecture 118 Cubic functions – Finding point of inflection and Concavity

Lecture 119 Finding Derivate Using First Principles - 2017 November Question & Answer

Lecture 120 Finding Derivate Using First Principles - 2018 November Question & Answer

Lecture 121 Finding Derivate Using First Principles - 2020 November Question & Answer

Lecture 122 Finding Derivate Using First Principles - 2021 November Question & Answer

Lecture 123 Finding Derivate Using First Principles - 2022 November Question & Answer

Lecture 124 Finding Derivatives (dy/dx and Dx) - 2017 November Question & Answer

Lecture 125 Finding Derivatives (dy/dx and Dx) - 2018 November Question & Answer

Lecture 126 Finding Derivatives (dy/dx and Dx) - 2020 November Question & Answer

Lecture 127 Finding Derivatives (dy/dx and Dx) - 2021 November Question & Answer

Lecture 128 Finding Derivatives (dy/dx and Dx) - 2022 November Question & Answer

Lecture 129 Cubic Function Questions - 2021 Question 10 -

Section 7: Trigonometry Part II - Sin ,Cos and Area Rule

Lecture 130 The use of Theorem of Pythagoras

Lecture 131 Proving Trigonometric Identities ( LHS = RHS)

Lecture 132 Trigonometry Idintities Example 2

Lecture 133 Sine Cosine and Area Rule - Identify which rule to use

Lecture 134 Trigonometric - Using Sine Rule

Lecture 135 Trigonometric - Using cosine Rule

Lecture 136 Trigonometric - Using Area Rule

Lecture 137 Trigonometry - Finding General Solutions

Lecture 138 Solve Right angled triangle without the use of Calculator - 2021 November Q & A

Lecture 139 Trigonometric Identities - 2021 November Questions & Answers

Lecture 140 Trigonometric Ratios - 2021 November Questions & Answers

Lecture 141 Sine, Cosine and Area Rule - 2021 November Questions & Answers

Section 8: Statistics & Probability

Lecture 142 Statistics grouped data ( Median, lower and upper quartiles)

Lecture 143 Statistics ungrouped data ( The range, quartiles ) - Box and whisker diagram

Lecture 144 Statistics ungrouped data ( mean, mode , and median)

Lecture 145 Statistics - Finding Variance and Standard deviation

Lecture 146 Statistics - Finding Variance and Standard deviation (Using Table)

Lecture 147 Probability Questions - 2018 November Question 8 and Answers

Lecture 148 Probability Questions - 2018 November Question 9 and Answers

Lecture 149 Probability Questions - 2018 November Question 12 and Answers

High school pure mathematics learners,Those who want to improve their mathematical solving skills,Grade 12 learners