### Cambridge IGCSE Additional Mathematics 0606

The syllabus aims to describe the purposes of a course. The aims are to consolidate and extend their mathematical skills, and use these in the context of more advanced techniques, further develop their knowledge of mathematical concepts and principles, and use this knowledge for problem solving, appreciate the interconnectedness of mathematical knowledge, acquire a suitable foundation in mathematics for further study in the subject or in mathematics-related subjects, devise mathematical arguments and use and present them precisely and logically, integrate information technology (IT) to enhance the mathematical experience, develop the confidence to apply their mathematical skills and knowledge in appropriate situations, develop creativity and perseverance in the approach to problem solving, derive enjoyment and satisfaction from engaging in mathematical pursuits, and gain an appreciation of the elegance and usefulness of mathematics and provide foundation for IBDP SL/HL and AS Level/Higher study. Source: Cambridge IGCSE Additional Mathematics 0606 syllabus booklet

## MODULES : View - Register - Learn

In this module, students extensively learn about Functions. Students gain in-depth knowledge of graphs of the functions. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Understand the terms: function, domain, range, one-one function, inverse function and composition of functions.
• Notation of the function.
• Linear,  quadratic and trigonometric functions.
• Inverse function.
• Sketch the graphs of functions.
• Use sketch graphs to show the relationship between a function and its inverse.

Duration of the module: 8 Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Quadratic Functions.  Students gain in-depth knowledge of  quadratic graphs, nature of roots, how to construct quadratic equations using sum of roots and product of roots. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Find maximum and minimum value of the quadratic function.
• Use the minimum or maximum value of  f(x) to sketch the graph or determine the range for a given domain.
• Nature of the roots-Using discriminant.
• Solve the quadratic equations for real roots and find the  solution set for quadratic inequalities.

Duration of the module: 8  Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn Equations, inequalities and graphs.  Students gain in-depth knowledge of solving equations by algebraic and graphical methods. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Solve graphically or algebraically equations of type-modulus
• Solve graphically and algebraically inequalities.
• Use substitution to form and solve a quadratic equation in order to solve a related equation.
• Sketch the graphs of cubic polynomials and their moduli.
• Solve the cubic inequalities graphically.

Duration of the module: 8  Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Indices and Surds.  Students also gain in-depth knowledge of performing different operations using indices and with surds. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

Perform simple operations with indices and with surds, including rationalising the denominator.

Duration of the module: 6 Hours (Three  sessions of 2 hours each)
Fee: SGD 240/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Factors of polynomials.  Students gain in-depth knowledge in solving cubic equations using factor theorems. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Know and use the remainder and factor theorems
• Find factors of polynomials.
• Solve cubic equations

Duration of the module: 8 Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Simultaneous equations.  Students also gain in-depth knowledge of different methods to solve simultaneous equations, tangent to given curves. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Solve simple simultaneous equations in two unknowns by elimination or substitution.
• Know the conditions for the given line to -(i) intersect a given curve (ii) be the tangent to the given curve (iii)  not intersect the given curve.
• Solve simultaneous equations in two unknowns with a least one linear equation.

Duration of the module: 8 Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Logarithmic and Exponential functions.  Students also gain in-depth knowledge of graphs of Logarithmic and exponential graphs, Linearising  graphs. Students enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Know simple properties and graphs of the logarithmic and exponential functions including ln x and e power x and different graphs.
• Know and use of the laws of logarithms.
• Solving equations.

Duration of the module: 10 Hours (Five sessions of 2 hours each)
Fee: SGD 400/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Functions.  Students also gain in-depth knowledge of Straight line graphs, properties of straight lines. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Interpret the equation of a straight line graph .
• Transform given relationships to straight line form and hence determine unknown constants by calculating the gradient or intercept of the transformed graph.
• Solve questions involving midpoint and length of a line.
• Know and use the condition for two lines to be parallel or perpendicular, including finding the equation of perpendicular bisectors.

Duration of the module: 10  Hours (Five sessions of 2 hours each)
Fee: SGD 400/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Functions.  Students also gain in-depth knowledge of Circular measure, different types of  angle measurements, solving mensuration sums and  three dimensional sums.  They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Solve problems involving the arc length and sector area of a circle, including knowledge and use of radian measure

Duration of the module: 6 Hours (Three  sessions 2 hours each)
Fee: SGD 240/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Trigonometry.  Students also gain in-depth knowledge of graphs of trigonometric functions, solving sums using identities, solving trigonometric equations algebraically and graphically. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Know the six trigonometric functions of angles of any magnitude.
• Understand amplitude and periodicity and the relationship between graphs of related trigonometric functions.
• Drawing graphs using conditions.
• Identities
• Solve simple trigonometric equations involving the six trigonometric functions and the above relationships.
• Prove simple trigonometric identities.

Duration of the module: 10 Hours (Five sessions of 2 hours each)
Fee: SGD 400/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Permutations and Combinations.  Students also gain in-depth knowledge of selecting correct methods to solve questions based on permutations and combinations. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Recognise and distinguish between a permutation case and a combination case.
• Know and use the notation of factorial and expression for permutations and combinations of n items taken r at a time.
• Answer simple problems on arrangement and selection.

Duration of the module:  6 Hours (Three sessions of 2 hours each)
Fee: SGD 240/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Series.  Students also gain in-depth knowledge of Arithmetic and Geometric series. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Use the Binomial Theorem for binomial expansions for power integer.
• Use the general term.
• Recognise arithmetic and geometric progressions
• Use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric progressions.

Use the condition for the convergence of a geometric progression, and the formula for the sum to infinity of a convergent geometric progression.

Duration of the module: 10  Hours (Five sessions of 2 hours each)
Fee: SGD 400/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Vectors .  Students also gain in-depth knowledge of different operations in Vectors. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Different forms of vectors
• Know and use position vectors and unit vectors.
• Find the magnitude of a vector; add and subtract vectors and multiply vectors by scalars.
• Compose and resolve velocities

Duration of the module: 8 Hours (Four sessions of 2 hours each)
Fee: SGD 320/-
Mode of Teaching: Online
How to enrol: Fill in the form and submit for slots and payment details CLICK HERE

In this module, students extensively learn about Differentiation and Integration.  Students also gain in-depth knowledge of methods of differentiation, first and second derivative tests, integration of different functions, definite integration. They also explore on graphs related to differentiation and integration. They enhance their knowledge and skills to apply in paper 1 and paper 2 for top grades A-A*.

Content:

• Understand the idea of a derived function.
• Notation of differentiation.
• Use the derivatives of the standard functions.
• Differentiate products and quotients of functions.
• Apply differentiation to gradients, tangents and normals, stationary points, connected rates of change, small increments and approximations and practical maxima and minima problems.
• Use the first and second derivative tests to discriminate between maxima and minima.
• Understand integration as the reverse process of differentiation.
• Integration of different functions.
• Evaluate definite integrals and apply integration to the evaluation of plane areas.
• Apply differentiation and integration to kinematics problems that involve displacement, velocity and acceleration of a particle moving in a straight line with variable or constant acceleration, and  use of x-t and v-t graphs.

Duration of the module: 16 Hours (Eight sessions of 2 hours each)
Fee: SGD 640/-