The Complete IBDP Math Applications and Interpretation Study Guide for SL & HL 2021
IB Mathematics Applications and Interpretation SL/HL can be quite a challenging course and it requires in depth knowledge of concepts and topics as well as a higher level of understanding in order to be able to deal with problems and equations. A lot of practice and revision goes into the preparation of IB Math AI.


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Below are the topics that are covered in IB Diploma Programme Math AI HL/SL for your preparation:
Get Free IB Math Applications and Interpretation Trial Session Download IB Math AI eBooks
Download IBDP Math AI SL/HL Guide Here
IB DP Applications and Interpretation SL/HL Syllabus Guide
Here TestprepKart provides the IB AI SL/HL syllabus preparation guide for your IB Diploma Preparation
| Syllabus component |
Suggested teaching hours |
| SL |
HL |
| Topic 1—Number and algebra |
16 |
29 |
| Topic 2—Functions |
31 |
42 |
| Topic 3— Geometry and trigonometry |
18 |
46 |
| Topic 4—Statistics and probability |
36 |
52 |
| Topic 5 —Calculus |
19 |
41 |
| The toolkit and the mathematical exploration Investigative, problem-solving and modelling skills development leading to an individual exploration. The exploration is a piece of written work that involves investigating an area of mathematics. |
30 |
30 |
| Total teaching hours |
150 |
240 |
Look at the Complete IB Maths Syllabus Here
IBDP Math Applications and Interpretation Resources
Download the best IB Diploma Programme Mathematics Applications and Interpretation Resources which includes, Syllabus, Notes, Preparation books, Past Year Papers, Question Banks and Data Booklet for your IB Preparation.
Download IB Maths Applications and Interpretation Data Booklet
IBDP Math Applications and Interpretation Exam Overview Guide
IBDP Math AI Standard Level (SL) Guide
|
|
Paper 1
|
Paper 2
|
|
Standard Level (SL)
|
Duration
|
1 Hr 30 Mins
|
Duration
|
1 Hr 30 Mins
|
|
Weightage
|
40%
|
Weightage
|
40%
|
| Question Type |
- Varying levels of difficulty
- 1 or more steps to solve
- Form of words, symbols, diagrams or tables, or combinations
|
80
Marks
|
Question Type
|
- Extended
- Knowledgeof more than 1 topic
|
80
|
|
Marks
|
| |
GDC Allowed |
Calculators Allowed |
IBDP Math AI Standard Level (HL) Guide
| |
Paper 1 |
Paper 2 |
Paper 3 |
|
Higher Level (HL)
|
Duration
|
2 Hrs
|
Duration
|
2 Hrs
|
Duration
|
1 Hr
|
|
Weightage
|
30%
|
Weightage
|
30%
|
Weightage
|
20%
|
| Question Type |
- Varying levels of difficulty
- 1 or more steps to solve
- Form of words, symbols, diagrams or tables, or combinations
|
110 Marks
|
Question Type
|
- Extended
- Knowledgeof more than 1 topic
|
110
|
Compulsory Questions
|
Extended Questions
|
55 Marks
|
|
Marks
|
|
|
Calculators Allowed (GDC required) |
Calculators Allowed (GDC required)
|
Calculators Allowed (GDC required) |
IB Diploma Programme Math Applications and Interpretation IA Guide Overview

IB DP Math Applications and Interpretation IA Creiteria
|
Criterion
|
Description
|
|
Criterion A
|
Presentation
|
|
Criterion B
|
Mathematical communication
|
|
Criterion C
|
Personal engagement
|
|
Criterion D
|
Reflection
|
|
Criterion E
|
Use of mathematics
|
IBDP Math Applications and Interpretation IA Examples
| Investigations |
Title |
Student Work Annotated |
| 1 |
Breaking the code |
LINK |
| 2 |
Euler’s totient theorem |
LINK |
| 3 |
Minesweeper |
LINK |
| 4 |
Modelling musical chords |
LINK |
| 5 |
Newton–Raphson |
LINK |
| 6 |
Florence Nightingale |
LINK |
| 7 |
Modelling rainfall |
LINK |
| 8 |
Spirals in Nature |
LINK |
| 9 |
Tower of Hanoi |
LINK |
| 10 |
Airfoil and lift force |
LINK |
| 11 |
The Birthday Problem |
LINK |
| 12 |
Horse Jumping |
LINK |
| 13 |
Monty Hall Problem |
LINK |
| 14 |
Spherical Geometry |
LINK |
| 15 |
The SIR model in relation to world epidemics |
LINK |
| 16 |
Body Proportions for Track and Field events |
LINK |
| 17 |
Geodesic Domes |
LINK |
| 18 |
Graphing the Pharmacokinetic Profile |
LINK |
| 19 |
Mean BMI Ratings and the wealth of a Country |
LINK |
| 20 |
Model a cooling cup of Tea |
LINK |
| 21 |
When can I use “Swimmed” and “Knowed” correctly? |
LINK |
IBDP Math Applications and Interpretation IA Scoring Guide
Duration: 10 to 15 hours
Weighting: 20%
| Grade |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
| Mark Range |
0-2 |
3-5 |
6-8 |
9-11 |
12-14 |
15-17 |
18-20 |
IB DP Math Syllabus Breakdown
Following is the IB AI SL/HL syllabus guide for your IB DP Preparation:
Algebra
Sub topics prepared are:
- Algebraic Sequences
- Sequences
- Arithmetic Sequences and Series
- Geometric Sequences and Series
- Complex Numbers
- Arithmetic with Complex Numbers
- Addition/Subtraction
- Multiplication
- Division
- Argand Diagrams etc.
Functions and Equations
Some sub topics that are covered are:
- Concept of Functions
- Functional Limits
- Domain
- Range
- Number Sets
- Integers
- Real Numbers
- Natural Numbers
- Combined Functions
- Graphs of Functions etc.
Circular Functions and Trigonometry
Here we prepare and deal with topics such as:
- Radians
- Length of Arc
- Area of a Sector
- Definitions of Trigonometric Ratios
- Special Angles
- Definition of Reciprocal Trigonometric Ratios
- Secant
- Cosecant
- Cotangent
- Pythagorean Identities etc.
Vectors
Sub topics covered are:
- Concept of a Vector
- Representation of Vectors Using Directed Line Segments
- Unit Vectors and Base Vectors
- Algebraic and Geometric Vector Calculations
- Sum and Difference of Two Vectors
- Special Vectors
- Scalar Multiplication
- Magnitude of a Vector
- Position Vectors
- Scalar Product of Two Vectors etc.
Statistics and Probability
Sub topics covered are:
- Measures of Central Tendency (Year 5 Maths)
- Mean
- Median
- Mode
- Measures of Spread
- Range
- Interquartile Range
- Variance
- Standard Deviation
- Adding and Subtracting Mean/Variance
Calculus
The following topics are covered:
- Differentiation
- Differentiation by First Principle
- Exploring the Gradient Function
- Equations of Tangents and Normals
- Maximums and Minimums
- Points of Inflection
- Rates of Change
- Kinematics
- Parametric Equations
- Integration
In addition to the broad categorization shared above, a few more HL only topics are also covered during the school year-
- Statistics and Probability
- Sets, Relations and Groups
- Calculus and
- Discreet Maths
It can be inferred from the above discussion that IB Mathematics for HL as well as SL covers a wide range of topics that need special focus and requires preparation. In order to be prepared well for the same, a lot of resources can be utilized-
- Haese and Harris is another textbook that provides with a variety of content, extensive review and absolutely accurate answers.
- IBID Press also provides students with a variety of additional mathematics problems, with the perfect range and variety of questions.
- The textbook by Oxford is also a great resource for Maths preparation as the chapters are logically and sequentially arranged.
- Past year papers ,you tube content and the support provided by the teacher also go a long way in helping students prepare well for the test and they can be sure of a good mathematics score if their practice is regular and concepts are clear.
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