Service Description

B DP Maths - Standard Phase 1 Course Description This 30-lesson course is designed to cover the core content of the IB Diploma Programme Mathematics Standard Level (SL) curriculum. It provides a balanced approach to pure and applied mathematics, emphasizing problem-solving, critical thinking, and analytical reasoning. Students will engage in real-world applications and develop the skills necessary to tackle mathematical concepts across five key areas: Number and Algebra, Functions, Geometry and Trigonometry, Statistics and Probability, and Calculus. The course also includes guidance for the Internal Assessment (IA), allowing students to explore a mathematical topic in depth. Unit 1: Number and Algebra (5 Lessons) Lesson 1: —Introduction to the course and diagnostic assessment —Arithmetic and geometric sequences and series ．Recursive and explicit formulas ．Sum of finite and infinite geometric series Lesson 2: Exponents and Logarithms ．Laws of exponents ．Logarithmic equations and their applications Lesson 3: Proof by Mathematical Induction ．Introduction to the concept of proof ．Applications in sequences and series Lesson 4: Complex Numbers ．Cartesian form ．Operations with complex numbers Lesson 5: Quadratic Equations and Applications ．Nature of roots ．Applications in real-world contexts Unit 2: Functions (5 Lessons) Lesson 6: Introduction to Functions ．Definition and basic properties ．Domain, range, and inverse functions Lesson 7: Transformations of Functions ．Translation, reflection, and dilation ．Graphical interpretation Lesson 8: Polynomial and Rational Functions ．Properties of polynomials ．Asymptotes and behavior of rational functions Lesson 9: Exponential and Logarithmic Functions ．Graphing and transformations ．Solving equations involving these functions Lesson 10: Trigonometric Functions ．Graphs of sine, cosine, and tangent ．Amplitude, period, and phase shift