IB Mathematics SL Tuition Singapore

IB Diploma Maths SL Tuition in Marina Bay, Tampines Singapore. IB Math SL Syllabus for the IB Diploma is taught by our professional engineering-background full time tutor following the IB Math SL Mathematics text for International Baccalaureate Diploma Programme “Cambridge Mathematics Standard Level for the IB Diploma” ISBN 978-1-107-61306-5 by Cambridge University Press.

Tuition for

  • UWCSEA,
  • ACS(Independent),
  • ACS(International),
  • SJI(International),
  • Canadian International School CIS,
  • Global Indian International School GIIS,
  • Hwa Chong(International).

Kindly contact Yuet Ling +65 8222 6327 

Our Mathematics SL IB Diploma Textboook 

 

Herein lies the syllabus of Maths SL IB Diploma Singapore. The topics in Mathematics SL Mathematics IB Diploma books are:

Main Topic: Algebra, Functions and Equations

Quadratic Functions

  • Quadratic Form
  • Complete the Square
  • Factorised form
  • Quadratic Formula
  • Discriminant
  • Intersection of graphs and simultaneous quadratic equations

Exponents and Logarithms

  • Laws of exponents
  • Exponential functions
  • The number e
  • Introduction to Logarithms
  • Laws and Graphs of Logarithms
  • Solving Exponential Equation

Algebraic Manipulations

  • Solving Equations by Factorising
  • Solving Equations by Substitution
  • Features of Graphs
  • Using graphical calculator (GDC) to solve equations
  • Working with identities

The Theory of Functions

  • Function Notation
  • Domain and Range
  • Composite functions
  • Inverse functions
  • Rational functions

Transformation of graphs

  • Translations
  • Stretches
  • Reflections
  • Consecutive Transformations

Sequence and series

  • General sequences
  • General series and sigma notation
  • Arithmetics and Geometric Series
  • Infinite Geometric Series
  • Mixed Questions on sequences and series

Binomial Expansion

  • Binomial Coefficients
  • Applying the Binomial Theorem

Main Topic: Geometry

Circular Measure and Trigonometry

  • Measuring angles
  • Definitions and graphs of sine and cosine functions
  • Definition and graphs of the tangent functions
  • Exact Values of trigonometric functions
  • Transformations of Trigonometric Graphs
  • Modelling using trigonometric functions

Trigonometric Equations and Identities

  • Intro to trigonometric equations
  • Harder Trigonometric Equations
  • Trigonometric Identities
  • Using Identities to solve equations
  • Double Angle Identities

Geometry of triangles and circles

  • Right-angled triangles
  • The sine rule
  • The cosine rule
  •  Area of triangle
  • Trigonometry in three dimensions
  • Length of an arc
  • Area of a sector
  • Triangles and circles

Vectors

  • Positions and displacements
  • Vector algebra
  • Distances
  • Angles
  • Properties of the scalar Product
  • Vector equation of a line
  • Solving Problems involving lines

Main Topic: Calculus

Basic Differentiation and its applications

  • Sketching derivatives
  • Differentiation from first principles
  • Rules of differentiation
  • Interpreting derivatives and second derivatives
  • Differentiating trigonometric, exponential and natural logarithm functions
  • Tangents and Normals
  • Stationary Points
  • General Points of Inflexion
  • Optimisation

Basic Integration and its Applications

  • Integration (Indefinite)
  • Constant of Integration
  • Integrating inverse x, exponents, trigonometric functions
  • Finding the equation of a curve
  • Definite Integral
  • Geometrical significance of definite integration
  • Area between two curves

Further Differentiation

  • Chain rule
  • Product Rule
  • Quotient Rule
  • Optimisation with constraints

Further Integration

  • Reversing standard derivatives
  • Integration by substitution
  • Kinematics
  • Volumes of revolution

Main Topic: Statistics and Probability

Summarising Data

  • Measure of centre of data
  • Measures of spread
  • Frequency table and grouped data
  • Cumulative frequency
  • Histograms
  • Constant changes to data
  • Correlation

Probability

  • Empirical Probability
  • Theoretical Probability
  • Combined events and Venn diagrams
  • Tree diagrams and finding intersections
  • Independent events
  • Conditional probability
  • Further Venn diagrams
  • Selections with and without replacement

Probability Distributions

  • Random variables
  • Expectations of a discrete random variable
  • The binomial distribution
  • The normal distribution
  • The inverse normal distribution

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