Course Overview:

 

The Pre-IBDP Mathematics Foundations course at Selexiq Education is designed to provide students with a solid conceptual and practical understanding of mathematical principles essential for success in the International Baccalaureate Diploma Programme (IBDP). This course serves as a bridge between the students' prior mathematical knowledge and the rigorous demands of the IBDP curriculum. Through engaging lectures, interactive discussions, and hands-on problem-solving activities, students will develop critical thinking skills, numerical fluency, and a deep appreciation for the beauty and utility of mathematics.

​

Course Objectives:

​

1. Build a strong foundation in fundamental mathematical concepts such as algebra, geometry, trigonometry, and calculus.

2. Develop problem-solving skills and mathematical reasoning through real-world applications and contextualized examples.

3. Foster a growth mindset towards mathematics, encouraging students to embrace challenges and persist in problem-solving.

4. Enhance computational fluency and accuracy through regular practice and drills.

5. Cultivate effective communication of mathematical ideas through written explanations, diagrams, and mathematical notation.

6. Introduce students to the technology tools and resources commonly used in the IBDP mathematics curriculum, such as graphing calculators and mathematical software.

7. Promote collaborative learning and peer-to-peer support through group activities, discussions, and peer tutoring sessions.

 

Course Structure:

​

1. Introduction to Pre-IBDP Mathematics:

   • Overview of the IBDP mathematics curriculum and its components.

   • Setting goals and expectations for the course.

   • Diagnostic assessment to gauge students' prior knowledge and identify areas for growth.

2. Algebraic Foundations:

   • Review of basic algebraic operations.

   • Solving linear and quadratic equations.

   • Understanding functions and their graphs.

   • Introduction to inequalities and absolute value.

3. Geometric Concepts:

   • Properties of geometric shapes and figures.

   • Perimeter, area, and volume calculations.

   • Trigonometric ratios and their applications in right triangles.

4. Analytical Geometry:

   • Cartesian coordinate system.

   • Equations of lines and circles.

   • Transformations and symmetry.

5. Introduction to Calculus:

   • Limits and continuity.

   • Derivatives and their applications.

   • Basics of integration.

6. Real-World Applications:

   • Applying mathematical concepts to solve practical problems in various fields such as economics, physics, and engineering.

   • Analyzing data and interpreting results using mathematical models.

7. Review and Assessment:

   • Comprehensive review of key concepts covered in the course.

   • Practice exams and assessments to evaluate students' understanding and readiness for the IBDP mathematics curriculum.

 

Course Materials:

​

• Textbooks and supplementary resources aligned with the IBDP mathematics syllabus.

• Interactive online platforms for practice exercises and additional learning materials.

• Graphing calculators and mathematical software for visualization and problem-solving.

 

Prerequisites:

 

This course is designed for students entering the International Baccalaureate Diploma Programme (IBDP) and requires a solid understanding of basic mathematical concepts typically covered in middle school or early high school mathematics courses. Students should be comfortable with arithmetic operations, algebraic manipulation, and geometric reasoning.

​

At the end of the Pre-IBDP Mathematics Foundations course, students will have the necessary skills and confidence to excel in the IBDP mathematics curriculum and pursue further studies in mathematics or related fields.