Course curriculum

  • 1

    Live Classes Timetable Sept 2022-June 2023

  • 2

    Reference Books

    • Complete Pure Mathematics 1 for Cambridge International AS & A Level

  • 3

    Worksheets

    • quadratics-p1

    • MF-19 formula

    • Binomial Expansion P1

    • Coordinate Geometry

  • 4

    Live Class Zoom Link

    • Please use this link to join for our live classes

  • 5

    New Live Class Recordings 2022 -2023

    • Quadratics

      FREE PREVIEW
    • Practice Questions ( download the pdf and solve these questions on your notebook. You will have to upload your work )

    • Quadratic Formula

    • practice questions - quadratic formula

    • Solving Complex equations

    • practice questions-solving complex equations

    • Completing square

    • practice questions- completing square

    • Quadratics questions -I

    • Quadratics questions -II

    • Binomial Expansion

    • Binomial Questions and Coordinate geometry

    • practice questions-coordinate geometry

  • 6

    Contact Your Teacher

    • Contact Your Teacher

  • 7

    Live class update

    • Your Guide Through Al Nafi

  • 8

    Introduction to A Levels -Bridging O level to A level

    • 1 of 2_Expanding the brackets_Maths_9709

    • 2 of 2_Expanding the brackets_Maths_9709

    • Expand two or more brackets-Maths_9709

    • 9709- A Levels Maths- Proposed Timeline

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  • 9

    1 and 2-Quadratics and Functions and graphs

    • Solving equation, Roots, X and Y intercepts_Maths_9709

    • Polynomial_ add_subtract, times_9709

    • Quadratic equation_Maths_9709

    • Methods of solving quadratic equations_Maths_9709

    • Sketching the quadratic graph_9709

    • Solve the quadratic equation by quadratic formula_Maths_9709

    • Solve the quadratic equation by completing the square_Maths_9709

    • Solve the quadratic equation by factorization_9709

    • Solve the quadratic equation by the graph_9709

    • Application of completing the square_9709

    • Roots and discriminant _9709

    • Quadratic equation in some function of x Or substitution method_9709

    • Function_notation_domain_range_find range of a function_Maths_9709

    • Composite functions_Maths_9709

    • Inverse of a function_Maths 9709

    • Simultaneous equation_non-linear equations_substitution method_Maths_9709

    • Simultaneous equation_both linear_elimination method_Maths_9709

    • Simultaneous equation_both linear_substitution methods_Maths_9709

    • Simultaneous equation_both linear_substitution methods_Maths_9709

    • 1 of 2_Inverse of a function_graphical relationship between function and its inverse_Maths_9709

    • 2 of 2_inverse of a function_graphical relationship between function and its inverse_Maths_9709

    • Past papers chapter 1 and 2.pdf

    • Inverse of function_example 2_ domain & range_Maths_9709

    • Inverse of function_example 1_ domain & range_Maths_9709

    • Inequalities_1 of 2_Maths_9709

    • Inequalities_2 of 2_Maths_9709

    • Rules of inequalities_Maths_9709_

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    • Feedback

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  • 10

    3-Coordinate Geometry

    • Gradient of a line segment_Maths_9709

    • Gradient of a line segment using coordinates_Maths_9709

    • Gradient of two parallel lines_Maths_9709

    • Gradient of two perpendicular lines_Maths_9709

    • Lengrh of a line OR distance between two points_Maths_9709

    • Midpoint of a line segment_Maths_9709

    • Perpendicular bisector_Maths_9709

    • Equation of a straight line-2 different forms- 2 methods_Maths_9709

    • 1 of 2 - Intersection of two lines_Maths_9709

    • 2 of 2 - Intersection of two lines_Maths_9709

    • Nature of intersection_Maths_9709

    • Intersection of a line and hyperbola_Maths_9709

    • Easier way to learn the trig. ratios for 30, 60 ,45 and 90 degrees _Maths_9709

    • Trig. ratios of multiple of 30, 60 ,45 and 90 degrees _Maths_9709 edit

    • Choice of formula _Maths_9709 edit

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  • 11

    4-Circular Measure

    • Arc, segment and sector of a circle _Maths_9709 edit

    • Practice question_ Arc, segment and sector of a circle _Maths_9709 edit

    • Radian introduction _Maths_9707

    • Radian - angles in phi _Maths_9707

    • Radian - Practice question _Maths_9707

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  • 12

    5-Trigonometry

    • Trigonometric ratios - Sine graph_Maths_9707

    • Trigonometric ratios - Cosine graph_Maths_9707

    • Trigonometry - Tan graph_Maths_9707

    • How quardant are formed - CAST diagram_Maths_9707

    • Principal values_Maths_9707 edit

    • Trigonometric equation - practice question 1_Maths_9707

    • Trigonometric equation - practice question 2_Maths_9707

    • Trigonometric equation - practice question 3_Maths_9707

    • Trigonometric equation - practice question 4_Maths_9707

    • Trigonometric identities and equation_Maths_9707

    • Trigonometric equation - Application of quadrant rule - 1_Maths_9707 edit

    • Trigonometric equation - Application of quadrant rule - 2_Maths_9707

    • Trigonometric equation - Application of quadrant rule - Different ranges of angle - 3_Maths_9707

    • Trigonometric equation - Application of quadrant rule - Different angle - 4_Maths_9707

    • Trigonometric equation - Application of quadrant rule - Past paper question - 5_Maths_9707

    • Transformation - translation - parallel to the x-axis _Maths_9707

    • Transformation - translation - parallel to the y-axis _Maths_9707

    • Transformation - Reflection in the x-axis _Maths_9707

    • Transformation - Reflection in the y-axis _Maths_9707

    • Transformation - stretch in the y direction _Maths_9707

    • Transformation - stretch in the x direction _Maths_9707

    • Transformation - combined tranformation 1 of 2 _Maths_9707

    • Transformation - combined tranformation 2 of 2_Maths_9707

    • Transformation - Inverse trigonometric function - 1 of 2_Maths_9707

    • Transformation - Inverse trigonoetric function - 2 of 2_Maths_9707

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  • 13

    6-Vectors

    • Vectors - Introduction _Maths_9707

    • Vectors - 2D and 3D - Notation_Maths_9707

    • Vectors - position vector & displacement vectors_Maths_9707

    • Vectors - equal vector and negative vectors_Maths_9707

    • Vectors - multiplying a vector by scalars_Maths_9707

    • Vectors - addition and subtraction of vectors_Maths_9707

    • Vectors - magnitude of vectors - 2D and 3D_Maths_9707

    • Vectors - unit vector_Maths_9707 edit

    • Vectors - Scalar product - Angle between two vectors_Maths_9707

    • Vectors - example - Scalar product - Angle between two vectors_Maths_9707

    • Vectors -perpendicular vectors _Maths_9707

    • Vectors -practice question 1 _Maths_9707

    • Vectors -practice question 2 _Maths_9707

    • Vectors -practice question 3 _Maths_9707

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    • Feedback

  • 14

    7-Binomial Expansion

    • Binomial expansion - Introduction- part 1

    • Binomial expansion - Introduction- part 2

    • Binomial expansion - Introduction-2

  • 15

    8-Arithmetic & Geometric Progression

    • Sequence & Series - Geometric Sequence_Maths_9707

    • Sequence & Series - Arithmetic Sequence-1 of 2 _Maths_9707

    • Sequence & Series - Arithmetic Sequence-2 of 2 _Maths_9707

    • Sequence & Series - Practice question 1_Maths_9707

    • Sequence & Series - Practice question 2_Maths_9707

    • Sequence & Series - Practice question 3_Maths_9707

    • Sequence & Series - Practice question 4_Maths_9707

    • Sequence & Series - Practice question 5_Maths_9707

    • Sequence & Series - Practice question 6_Maths_9707

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  • 16

    9-Differentiation

    • Differentiation - Introduction & notations_Maths_9707

    • Differentiation - Differentiate with respect to X or other than X_Maths_9707

    • Differentiation -Second order differentiation_Maths_9707

    • Differentiation - Differentiation terms when the terms contain fractions_Maths_9707

    • Differentiation - Differentiate with respect to X or other than X_Maths_9707

    • Differentiation -Second order differentiation_Maths_9707

    • Differentiation - practice question 1_Maths_9707

    • Differentiation - practice question 2_Maths_9707

    • Differentiation - practice question 3_Maths_9707

    • Differentiation - Equation of tangents and normals_Maths_9707

    • Differentiation - Stationary points_Maths_9707

    • Differentiation - Stationary points - practice question_Maths_9707

    • Differentiation -Nature of stationary point- First differential method_Maths_9707

    • Differentiation -Nature of stationary point- Second differential method_Maths_9707

    • Differentiation -Range of Increasing or Decreasing functions_Maths_9707

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    10-Integration

    • Integration -Introduction & Notations_Maths_9707

    • Integration -How to integrate_Maths_9707

    • Integration -How to integrate - (ax+b)^n_Maths_9707

    • Integration -Definite Integral_Maths_9707

    • Integration -Area under the curve - bounded above the x-axis_Maths_9707

    • Integration -Area under the curve - bounded below the x-axis_Maths_9707

    • Integration -Area under the curve - bounded by two curves_Maths_9707

    • Integration -Area under the curve - bounded by y-axis_Maths_9707

    • Integration -Volume formed by rotation about x axis_Maths_9707

    • Integration -Volume formed by rotation about y axis_Maths_9707

  • 18

    Recordings of live sessions-A Level Maths

    • A Levels Maths live session 1200 hrs (Pakistan Standard Time afternoo, Monday 18th Jan 2021

    • A Levels Maths live session 1200 hrs- Monday 1st Feb- 2021

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    • A Levels Maths live session, Monday- 8th March 2021

    • A levels Maths live session 8th of Oct 21

    • A levels Maths live session 22nd Nov 2021

    • A levels Maths Live sessio 03 Jan 2021 Differentiation past paper question

    • A Levels Maths Live session 20 Dec 2021 -Differentiation and Integration

    • A levels maths live session 31st Jan 2022

    • LIVE SESSION MATHS A LEVELS VECTOR 22-06-2021

    • A levels maths live session 17th Jan 2022

    • A levels maths live session 14th Feb 2022- Differentiation and Integration past papers

    • A level maths live session 28 Feb 2022- volume of revolution- Past paper

    • A level maths live session 14 March 2022- Integration - Differentiation - Past paper

    • A level maths live session 28 March 2022- Integration - Differentiation - Past paper

  • 19

    Quiz: A Level maths

    • Read me before attempting the quiz

    • Quiz - Chapter 1 and 2 - quadratics and functions

  • 20

    Live Sessions

    • copy & paste link to join meeting: -----------A Level Maths live session on Monday 12:00 hrs PST, (Afternoon), 14th March, 2022

    • Live Sessions Schedule for April 2022 (all subjects)