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

Mathematik

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

How it works

IB Diploma DP1: a structured route for Mathematics and Physics with chapters, practice, and next steps.

Back to year

Status

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

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

UK, Cambridge, A Level and IBIB DP1Mathematik

FACH-LERNZENTRALE

Der vollständige Lernweg auf einer Seite

Lehrplan, Kapitel, Theorie, Beispiele, Übungen, Hausaufgaben und Tests bleiben mit Jahrgang und Fach verknüpft.

Einheiten: 1
Kapitel: 7
Unterthemen: 35
Quellenprüfung: 2026-05-15

Empfohlener Lernweg

Beginne mit dem ersten Kapitel, bearbeite den Kapiteltest und kehre dann zum Lehrplan zurück.

Jedes Kapitel enthält Theorie, Beispiele, mindestens 8 Übungen, Hausaufgaben und einen bewerteten Zeittest.

Erstes Kapitel starten

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

Theorie, Beispiele und Übungen

2. Functions

8 points

Function notation

Domain and range

Composite functions

Inverse functions

Graph transformations

Polynomial models

Rational models

Exponential and logarithmic models

Theorie, Beispiele und Übungen

3. Geometry and trigonometry

5 points

Trigonometric functions

Radians

Trigonometric identities

Triangles

Vectors introduction where applicable

Theorie, Beispiele und Übungen

4. Statistics and probability

5 points

Descriptive statistics

Correlation

Regression

Probability rules

Distributions introduction

Theorie, Beispiele und Übungen

5. Calculus introduction

5 points

Limits in route-appropriate depth

Differentiation

Tangents and normals

Optimisation introduction

Integration introduction

Theorie, Beispiele und Übungen

6. Route emphasis

2 points

AA: proof, exact algebra, analytical calculus, trigonometric identities

AI: technology, modelling, statistics, interpretation of results

Theorie, Beispiele und Übungen

7. Internal Assessment preparation

5 points

Topic selection

Research question

Mathematical communication

Use of technology

Academic honesty

Theorie, Beispiele und Übungen

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

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

Mathematik

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

How it works

IB Diploma DP1: a structured route for Mathematics and Physics with chapters, practice, and next steps.

Back to year

Status

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

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

UK, Cambridge, A Level and IBIB DP1Mathematik

FACH-LERNZENTRALE

Der vollständige Lernweg auf einer Seite

Lehrplan, Kapitel, Theorie, Beispiele, Übungen, Hausaufgaben und Tests bleiben mit Jahrgang und Fach verknüpft.

Einheiten: 1
Kapitel: 7
Unterthemen: 35
Quellenprüfung: 2026-05-15

Empfohlener Lernweg

Beginne mit dem ersten Kapitel, bearbeite den Kapiteltest und kehre dann zum Lehrplan zurück.

Jedes Kapitel enthält Theorie, Beispiele, mindestens 8 Übungen, Hausaufgaben und einen bewerteten Zeittest.

Erstes Kapitel starten

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

Theorie, Beispiele und Übungen

2. Functions

8 points

Function notation

Domain and range

Composite functions

Inverse functions

Graph transformations

Polynomial models

Rational models

Exponential and logarithmic models

Theorie, Beispiele und Übungen

3. Geometry and trigonometry

5 points

Trigonometric functions

Radians

Trigonometric identities

Triangles

Vectors introduction where applicable

Theorie, Beispiele und Übungen

4. Statistics and probability

5 points

Descriptive statistics

Correlation

Regression

Probability rules

Distributions introduction

Theorie, Beispiele und Übungen

5. Calculus introduction

5 points

Limits in route-appropriate depth

Differentiation

Tangents and normals

Optimisation introduction

Integration introduction

Theorie, Beispiele und Übungen

6. Route emphasis

2 points

AA: proof, exact algebra, analytical calculus, trigonometric identities

AI: technology, modelling, statistics, interpretation of results

Theorie, Beispiele und Übungen

7. Internal Assessment preparation

5 points

Topic selection

Research question

Mathematical communication

Use of technology

Academic honesty

Theorie, Beispiele und Übungen

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

Sources and verification

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

Last reviewed: 2026-05-15