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UK, Cambridge, A Level and IB / IB Diploma DP1

Mathematics

Mathematics IB DP1: detailed curriculum by unit, chapters, skills, practice, and verification sources.

How it works

Start from the board specification and work topic by topic before full papers.

Back to year

Status

IB route map - keeps AA/AI and SL/HL distinctions

Mathematics IB DP1: detailed curriculum by unit, chapters, skills, practice, and verification sources.

UK, Cambridge, A Level and IBIB DP1Mathematics

Detailed curriculum

The syllabus is split into units, chapters, and small subtopics so students can see what is covered and what remains.

Unit 1Curriculum7 chapters+

1. Number and algebra

5 points
Sequences and series
Exponents and logarithms
Binomial theorem where applicable
Algebraic manipulation
Financial mathematics mainly for AI route
Theory, examples, and practice

2. Functions

8 points
Function notation
Domain and range
Composite functions
Inverse functions
Graph transformations
Polynomial models
Rational models
Exponential and logarithmic models
Theory, examples, and practice

3. Geometry and trigonometry

5 points
Trigonometric functions
Radians
Trigonometric identities
Triangles
Vectors introduction where applicable
Theory, examples, and practice

4. Statistics and probability

5 points
Descriptive statistics
Correlation
Regression
Probability rules
Distributions introduction
Theory, examples, and practice

5. Calculus introduction

5 points
Limits in route-appropriate depth
Differentiation
Tangents and normals
Optimisation introduction
Integration introduction
Theory, examples, and practice

6. Route emphasis

2 points
AA: proof, exact algebra, analytical calculus, trigonometric identities
AI: technology, modelling, statistics, interpretation of results
Theory, examples, and practice

7. Internal Assessment preparation

5 points
Topic selection
Research question
Mathematical communication
Use of technology
Academic honesty
Theory, examples, and practice

What you must know

These skills are the practical checklist before a test, lesson request, or tutor session.

1Number and algebra
2Functions

Recommended practice

Common mistakes
Worked examples
Homework and practice
Related daily material

NEXT STEP

Find a tutorOpen tutors matched to this subject and continue with a profile or message.Post a lesson requestDescribe the year, chapter, and goal so the right tutors can respond.Daily materialOpen daily explainers, exercises, and practical posts without mixing them with study guides.

Sources and verification

Based on IB Diploma Programme course structures and keeps AA/AI and SL/HL route distinctions.

Last reviewed: 2026-05-15

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