Additional Math (CAIE) and Further Math(Edexcel)

 ADDITIONAL MATHEMATICS (0606/4037)

EDEXCEL FURTHER MATH (4PM1)

Checklist for Exam Preparation  (YR 11 ADDITIONAL MATH - 4037)

Yr 11 Edexcel Further Math Lessons (CODE 4PM1)

BINOMIAL THEOREM

1. Challenging Qs. N18-12-Q12

2. Binomial Theorem-Independent term Nov.19/11/qs.1

3. Coefficient of x square and independent termN11/11/Q7

4.A good Past Paper Qs. for revision J13/12/Q9

5. Getting the coefficient of a single term after binomial expansions multiplication

6.Binomial Expansion Tricky qs. unknown n

CIRCULAR MEASURE OR RADIANS
1. Area and perimeter of the sector. N18-13-q2 

2. good challenging Question J20/11/Q7

3. a good challenging question June 20/22/Q11

COORDINATE GEOMETRY
1. Explanation of a Complete lesson-Coordinate Geometry

2. Challenging question N18/12/Q12

DIFFERENTIATION 

1. Differentiation of Product Rule of Polynomial function Ex. 15.3
2. Differentiation of Quotient Rule of Polynomial functions Ex. 15.4
3. Basic Differentiation of Polynomial and Trig. function Ex. 15.1 & 18.1
4. Basic Differentiation of Exponential and Logarithmic Functions
5.  Differentiation of trig functions Ex. 18.1
6. Rate of Change 
7.Equation of tangent and Rate of Change
8. Stationary point on the curve and its nature. 
9. Approximate change and rate of change N19/21/Q3 and Q7 

Note: Videos at points 6, 7, and 8 have explanations of questions from AS Level Maths, but they cover the requirements of O Level Add Maths as well.

EQUATIONS, INEQUALITIES AND GRAPH
1. Linear modulus equation with graphical explanation

2. solving modulus inequalities with a constant 

3. Solving two modulus linear function with inequalities

4. Sketching graphs of cubic polynomial and their moduli

NON-CALCULATOR

Equation inequality and graph non calculator video 1

EXPONENTIAL AND LOGARITHMIC FUNCTION
1. Sketch - Logarithmic and Exponential functions

1. Simplifying log and exp expression video 1 

2.Simplifying log and exp expression video 2

3. Solve log and exp. equation video 3

4. Exponential and log equation video 4

EXPONENTIAL EQUATION

1. 0606 /4037 May June 2022 var 11

FUNCTIONS
1. Conceptual understanding Function video 1

2. Domain and Range of a function video 2

3. Composite function video 3

4. Inverse function and its sketch video 4

5.

6.

7.Sketch - Absolute valued function (quadratic)

NON-CALCULATOR FUNCTIONS

1.Non-Calculator Function March 2024/12

INDICES, SURDS AND LOGARITHM

1- Introduction of Indices & examples - video 1
2- Exponential equations - video 2
3- Surds - video 3
4- Laws of Log with examples to build the concepts
5. Sketch of Logarithmic and exponential function
6 - Solving logarithmic equation (Nov. 18/23/q6)
Exponential Equations -
7. Surds-Rationalizing the denominator-N16/23/q5
8. Solving logarithmic equation-J19/11/q7

INTEGRATION
1. Integration - equation of normal and area N18/22/q9
2. Integration - Shaded area, Eq. of tangent, N17/22/Qs.11 (Challenging Qs.)

3.Integration- Shaded area, Equation of normalJ18/12/Q11


KINEMATICS
1- Kinematics Complete lesson video #1

2.Kinematics Complete lesson video #2

3. Kinematics Complete lesson video #3

4.Kinematics (exponential function.) Nov.19/13/q10b
5..Kinematics (trig. function) J17/12/q5

6.Kinematics (Logarithmic equation)J14/11/Q9

7.Kinematics (application of Integration and Differentiation both)N15/23/Q7

8. Kinematics (Exponential equation) N17-12-Q9

 Exercise 22.1 Qs. 3
 Interesting and Challenging Qs.
 Exercise 22.1 Qs. 18

LINEAR LAW
Notes on Linear Law

1. Complete lesson on Linear Law (new) 

2. Complete introduction of Linear Law

2. Linear Law graph given. N16/13/q7

POLYNOMIAL REMAINDER AND FACTOR THEOREMS

1. Introduction of Polynomial Identities, Remainder and Factor Theorem
2. Long division and solving cubic equations

3. Factors of Polynomial - Long division video 1

4. Factors of Polynomial - Long division video 2

5. Factors of Polynomial - Factor theorem video 3

6. Factors of Polynomial - Remainder theorem video 4

7. Factor of Polynomial - Remainder and Factor theorem video 5

8. Factors of Polynomial 0606 March 2024/12

9. Challenging Qs. J18/21/Qs.4

PERMUTATION AND COMBINATION
1- Introduction of basic counting principle, factorial and permutation with examples
2-Permutation with restriction and Combination.
3- P&C past paper questions part 1
4- P&C past paper questions part 2
5- P&C past paper questions part 3
6- P&C past paper questions part 4
7- P&C CAIE J17/12/8

8- P&C N16/13/Q9

QUADRATIC EQUATION AND EXPRESSION 

1- Introducation and concept building- Max, and Min. value and quadratic sketch
2- Quadratic - Discriminant and quadratic inequality 
3- Exercise 4.2 Qs. 14
4- Exercise 4.2 Qs. 21
5- Exercise 4.3 Qs. 7
6- Exercise 4.3 Qs 9
7- Misc. 4 Qs. 5

Non Calculator Quadratic Equation and Expression

1.Quadratics Non-Calculator video 1

2. Quadratics and Surds- Non Calculator - November 2-23/21

SERIES AP and GP
1.`Introduction of AP and GP
2. AP and GP past paper qs. J16/12/Q9
3.AP and GP past paper qs.J17/11/q4
4. AP and GP past paper qs.J17/12/q7

5. AP and GP with Log May June 22 var 11

6.0606 AP and GP May June 22 var 22

7.0606 AP with log March 2024/12

8.0606 GP with log March 2024/12 part b

NON-CALCULATOR

Arithmetic Progression non calculator video 1

Binomial Expansion Non Calculator video 1

SIMULTANEOUS EQUATION
1- Introduction of Simultaneous Equations
2. Exercise 2.1
3- Exercise 2.2 Qs 5 and 9
4. Exponential Equation and Logarithmic Equation (N17/ 22/q 4 and N18/ 22/ q5)

TRIGONOMETRY 
Imp. Trigonometry notes

* video 1 Basic and general angle

** video 2 sketches of Trigonometric functions

*** Video 3 Trigonometric identities

**** video 4 Solving trigonometric equations

1. Introduction of basic angle and general angle.
2- Relationship between basic angle and general angle in the four quadrant & Identities
3- Solving trigonometric equations - various forms of equations part 1
4- Solving trigonometric equation and past paper questions
5- Sketching of trigonometric functions with paper paper questions
SKETCHES

 1- Trigonometric Sketch- Challenging Question
2- Exercise 10.4 - various questions
3- Exercise 10.3 Sketch of Sine graph
4- Exercise 10.3 Sketch of cos graph
5- Exercise 10.3 Sketch of tan graph
6- Exercise 10.3 Qs. 7,8,10

TRIGONOMETRIC IDENTITIES
1 - Exercise 11.1 Identities
2. Identity and Express y in terms of x of trig. equation N17/13/q1 and J17/12/q6

VECTORS IN TWO DIMENSIONS
1. Complete lesson Vector video #1

2.Complete lesson Vector video #2

3.Vectors-compose and resolve velocity video 3

4.vectors-compose and resolve velocities-video 4 - Examination question

5 Express vectors in terms of required vectors. N18/13/q7

6.Vectors Challenging Qs. J16/21/Q7 & J18/22/Q7

7. Vectors Challenging Qs J19-22-Q10 and J19-23-Q9

8. vector and gradient relationship

Exercise 23.3 Qs. 7



RELATIVE VELOCITY (It is out of Syllabus NOW)
1- Exercise 24.2 Qs. 6
2- Exercise 24.2 Qs. 8a
3- Exercise 24.2 Qs. 8b