ACSI 2025 Year 6 Mathematics HL guidebook

“Do nothing from selfish ambition or conceit, but in humility consider others more significant than yourselves” – Philippians 2:3 (ESV) YEAR 6 HL GUIDEBOOK 2025 MATHEMATICS: ANALYSIS AND APPROACHES For Internal Circulation Only Name : Class :

Anglo-Chinese School (Independent) Year 6 IBDP Mathematics: Analysis and Approaches HL CONTENTS I Aims & Assessment and Syllabus II Formula Booklet III Notes and Worksheets Topic 5 : Calculus 5.1 Limits and Differentiation 5.2 Applications of Differentiation 5.3 Integration 5.4 Area and Volume of Revolution 5.5 Kinematics 5.6 Differential Equations 5.7 Maclaurin’s Series Topic 4 : Statistics and probability 4.1 Descriptive Statistics 4.2 Correlation and regression 1.3 Permutations and combinations 4.3 Probability 4.4 Discrete random variables 4.5 Binomial distribution 4.6 Continuous random variables 4.7 Normal distribution Paper 3 Skills Paper 3 Practice Questions Paper 3 Past Year Papers IV Past Year IB Questions (Topical) V Specimen Papers This guidebook is compiled for use by the students and teachers of ACS (Independent) only. It is meant for internal use only.

IB learner profile I profile IB learner p arner profile IB lea ile IB learner profi IB learner profile I er profile IB learne © International Baccalaureate Organization 2017 International Baccalaureate® | Baccalauréat International® | Bachillerato Internacional® The IB learner pro/f_ile represents 10 attributes valued by IB World Schools. We believe these attributes, and others like them, can help individuals and groups become responsible members of local, national and global communities. We nurture our curiosity, developing skills for inquiry and research. We know how to learn independently and with others. We learn with enthusiasm and sustain our love of learning throughout life. We develop and use conceptual understanding, exploring knowledge across a range of disciplines. We engage with issues and ideas that have local and global signi/f_icance. We use critical and creative thinking skills to analyse and take responsible action on complex problems. We exercise initiative in making reasoned, ethical decisions. We express ourselves con/f_idently and creatively in more than one language and in many ways. We collaborate effectively, listening carefully to the perspectives of other individuals and groups. We act with integrity and honesty, with a strong sense of fairness and justice, and with respect for the dignity and rights of people everywhere. We take responsibility for our actions and their consequences. We critically appreciate our own cultures and personal histories, as well as the values and traditions of others. We seek and evaluate a range of points of view, and we are willing to grow from the experience. We show empathy, compassion and respect. We have a commitment to service, and we act to make a po