Introduction: Why Mathematics Matters at LIS
At Ljubljana International School, we view mathematics as far more than numbers on a page. Mathematics is the language of logic, problem-solving, and critical thinking, skills that empower students in every subject and prepare them for life beyond school. A strong foundation in mathematics builds confidence, sharpens reasoning, and opens doors to academic and professional opportunities across the globe.
Our mathematics programme is designed with one clear priority: ensuring that every student is both challenged and supported at the level most appropriate for them. Rather than locking students into grade-based classes, LIS places each learner in a course that matches their ability, allowing them to progress at a pace that brings out their best. This flexible approach ensures that advanced students can accelerate into higher-level work, while those needing reinforcement receive the guidance and structure necessary to succeed.
By combining a clear progression of courses with international standards of rigour, the LIS mathematics programme helps students develop not only academic strength but also resilience, curiosity, and confidence, qualities that will serve them well no matter where their journey takes them.
A Structured and Flexible Progression
The mathematics programme at LIS provides a clear, carefully designed progression from middle school through high school, ensuring that every student builds a strong foundation while also having the opportunity to advance as far as their ability and ambition will take them.
Beginning in Grade 7, students enter one of two courses: Pre-Algebra or Algebra 1, depending on their readiness. This flexible placement allows students to be challenged appropriately from the moment they arrive, rather than being bound to a fixed grade-level course. Students then continue to move forward year by year, advancing as their skills and confidence grow. After completing Algebra 1, students move on to Algebra 2.
In the high school years, students progress into the AP mathematics sequence, which includes: Pre-Calculus, Calculus 1, and Calculus 2. These courses are offered every year, giving students the opportunity to follow a path that best fits their development. For advanced learners, this means the possibility of reaching university-level mathematics while still in high school. For others, it means steady growth through a carefully supported progression, ensuring they are prepared for graduation and university entrance.
This structure also aligns seamlessly with LIS’s diploma pathways. Students in the IB Diploma Programme enter IB Mathematics with a strong algebraic and analytical foundation, while students pursuing the AP Capstone Diploma are prepared to excel in the AP math sequence. The combination of flexibility and rigour ensures that all LIS graduates leave with the mathematical skills they need for success, regardless of the path they choose.
Preparing Students for University-Level Success
The LIS mathematics programme is designed not only to prepare students for success in high school but also to give them a decisive advantage as they transition to university. By combining a structured sequence with international standards, our students build the confidence, depth of knowledge, and problem-solving ability required at the next level of study.
For students pursuing the International Baccalaureate (IB) Diploma Programme, the strong algebraic and analytical grounding developed in Grades 7–10 ensures readiness for the rigour of IB Mathematics. Whether students select Analysis and Approaches or Applications and Interpretation, they enter the IB Diploma Programme equipped with the skills to think critically, model complex problems, and work with abstract concepts.
For students following the AP Capstone Diploma, the LIS programme provides direct access to a university-level mathematics sequence: AP Pre-Calculus, AP Calculus 1, and AP Calculus 2. These courses mirror the demands of first-year university study, enabling students to earn credits or advanced standing at many institutions worldwide. This means LIS graduates often begin university ahead of their peers, both academically and in terms of opportunity.
Most importantly, our approach ensures that students are not simply “getting through” mathematics, they are developing the ability to apply mathematical reasoning in science, technology, economics, and real-world problem solving. For those aiming toward competitive fields such as engineering, medicine, data science, or finance, the LIS maths programme provides the preparation necessary to thrive.
Math for Every Learner
| Grade |
Advanced Track |
Standard Track |
| 12 |
AP Calculus BC or DP Math AA Y2 |
AP Statistics or DP Math AI Y2 |
| 11 |
AP Calculus AB or DP Math AA Y1 |
AP Precalculus or DP Math AI Y1 |
| 10 |
AP Precalculus |
Algebra II |
| 9 |
Algebra II |
Algebra I |
| 8 |
Algebra I |
Pre-Algebra |
| 7 |
Pre-Algebra |
General Math |
| 6 |
General Math |
General Math |
At Ljubljana International School, we believe that every student can succeed in mathematics when they are given the right balance of challenge and support. Our programme is designed to meet students where they are and help them grow steadily in both confidence and ability.
For students who find mathematics difficult, LIS provides a supportive environment where teachers focus on building foundational skills, reinforcing core concepts, and restoring confidence. Smaller class sizes allow for individual attention, and students are encouraged to ask questions, practise regularly, and develop a growth mindset that helps them overcome challenges.
At the same time, students with strong mathematical ability are given opportunities to accelerate through the sequence and take on more advanced work earlier. Because courses are offered every year, students can move ahead into higher-level classes when they are ready, without waiting for a fixed schedule. For the most advanced learners, this can mean completing AP Calculus 2 before graduation, a true university-level achievement.
This flexible and personalised approach ensures that mathematics at LIS is not a one-size-fits-all experience. Instead, every student has the opportunity to develop mathematical fluency at a level appropriate for their current stage, while also being encouraged to aim higher as their skills and confidence grow.
Global Recognition and Value
The strength of the LIS mathematics programme is reflected in the qualifications our students achieve and the opportunities these open worldwide. Both the IB Diploma Programme and the AP Capstone Diploma include mathematics at their core, and the preparation students receive at LIS ensures they are fully ready to meet these international standards.
Globally, universities recognise the value of AP and IB mathematics because these courses demand advanced reasoning, abstract thinking, and applied problem-solving. Strong results in IB Mathematics or the AP Calculus sequence are seen by admissions officers as clear evidence of a student’s ability to succeed in competitive academic environments. In many cases, AP exam results in any and all of: Pre-calculus, Calculus 1, and Calculus 2, will allow students to receive university credit or advanced placement, reducing the time and cost of their degree while providing an academic head start.
Within Slovenia, LIS stands alone in offering such a comprehensive and flexible mathematics pathway. No other school in the country combines a full Grade 7–12 progression, the AP mathematics sequence, and integration with the IB Diploma Programme. This makes the LIS approach uniquely powerful, ensuring that every student—whether they remain in Europe for university or continue to North America, Asia, or elsewhere—is equipped with qualifications and skills that are widely respected and highly transferable.
In short, mathematics at LIS is not just another subject. It is a passport to global opportunity, helping students demonstrate excellence, readiness, and adaptability wherever their futures may lead.
Why the LIS Math Programme Works
The design of the mathematics programme at Ljubljana International School is not accidental, it reflects what decades of research have shown to be the most effective way to help students succeed in mathematics and beyond.
1. Placement by Readiness, Not Age
At LIS, students are placed in Pre-Algebra, Algebra 1, or Algebra 2 from Grade 7 according to their readiness rather than their age. This ensures that advanced students are not held back, while others receive the reinforcement they need. Research confirms that this kind of flexible placement and acceleration leads to stronger achievement without harming social-emotional development (Steenbergen-Hu, Makel, & Olszewski-Kubilius, 2016).
2. A Coherent and Continuous Sequence
Because LIS offers all mathematics courses every year, students always enter at the right level and move forward without interruption. International studies show that curricular coherence, a logical sequence across years, is strongly linked to higher achievement (Schmidt & Houang, 2012). By maintaining a Grade 7–12 progression that flows into AP and IB mathematics, LIS ensures no gaps in learning.
3. Advanced Mathematics Predicts University Success
Research consistently shows that completing advanced mathematics in high school is one of the strongest predictors of university completion. One U.S. Department of Education study found that progressing beyond Algebra 2, into Pre-Calculus and Calculus, was the single best pre-college indicator of earning a bachelor’s degree (Adelman, 2006). At LIS, students have access every year to AP Pre-Calculus, AP Calculus 1, and AP Calculus 2, giving them a proven advantage for higher education.
4. Mathematics Builds Cognitive Power
Mathematics is more than preparation for exams it builds reasoning, problem-solving, and abstract thinking. Studies emphasise the importance of Algebra and Calculus as “gateway subjects” that open the door to advanced study in science, technology, engineering, and economics (NMAP, 2008). By introducing algebra early (Grade 7) and guiding students into university-level calculus, LIS gives its students a head start in these vital disciplines.
5. Equity Through Flexibility
Finally, the LIS model ensures equity. Students are not locked out of advanced courses due to rigid grade-level structures. Instead, with all courses available each year, students can step into the right place for them and accelerate when ready. Educational research highlights that this kind of flexible access combined with high expectations is the key to both equity and excellence in mathematics education (Boaler, 2016).
In short, the LIS mathematics programme works because it combines flexibility with rigour, coherence with opportunity, and research with practice. It allows every student to build confidence, pursue challenge, and prepare for the global opportunities that lie ahead.
References
- Adelman, C. (2006). The Toolbox Revisited: Paths to Degree Completion From High School Through College. U.S. Department of Education.
- Boaler, J. (2016). Ability and mathematics: The mindset revolution that is reshaping education. FORUM, 58(1), 143–152.
- National Mathematics Advisory Panel (NMAP). (2008). Foundations for Success: The Final Report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education.
- Schmidt, W. H., & Houang, R. T. (2012). Curricular coherence and the common core state standards for mathematics. Educational Researcher, 41(8), 294–308.
- Steenbergen-Hu, S., Makel, M. C., & Olszewski-Kubilius, P. (2016). What one hundred years of research says about the effects of ability grouping and acceleration on K–12 students’ academic achievement. Review of Educational Research, 86(4), 849–899.