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