IB Math
We, the IB tutors, have tried to compile IB Math new curriculum in the best academic interests of the IB Diploma Programme students.
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IB Math syllabus
The IB Math syllabus is a rigorous and comprehensive curriculum designed to develop students’ mathematical skills and understanding. It is divided into two main courses: Mathematics Analysis and Approaches and Mathematics Applications and Interpretation. The Analysis and Approaches course focuses on the theoretical aspects of mathematics, emphasizing abstract thinking, proofs, and problem-solving. On the other hand, the Applications and Interpretation course emphasizes the practical application of mathematics in real-world contexts, including statistics, modeling, and data analysis. Both courses cover a wide range of topics, from algebra and calculus to probability and geometry. The IB Math syllabus not only equips students with strong mathematical knowledge but also encourages critical thinking, creativity, and a deep appreciation for the beauty and usefulness of mathematics in our everyday lives.
Best IB Math Tutors
The best IB Math tutors are educators who possess a profound understanding of mathematics and a passion for teaching. They have a knack for simplifying complex concepts and making them accessible to students. These tutors are well-versed in the IB Math syllabus and examination requirements, providing tailored guidance to help students excel. They adapt their teaching methods to suit individual learning styles and pace, fostering a supportive and productive learning environment. The best IB Math tutors also instill confidence in their students, motivating them to approach mathematical challenges with enthusiasm and problem-solving skills. Their dedication to helping students achieve their academic goals makes them invaluable mentors in the world of IB Math education.
IB Math courses
IB Math courses are designed to cultivate a strong foundation in mathematics while promoting critical thinking and problem-solving skills. These courses offer two distinct pathways: Mathematics Analysis and Approaches and Mathematics Applications and Interpretation. Analysis and Approaches delve into abstract mathematical concepts, emphasizing rigorous proofs and in-depth problem-solving. In contrast, Applications and Interpretation courses focus on practical applications of mathematics, including statistics, modeling, and data analysis, making math relevant to real-world scenarios. The IB Math curriculum covers a wide spectrum of topics, ranging from algebra and calculus to discrete mathematics and financial mathematics. These courses not only prepare students for the IB Math exams but also equip them with analytical skills essential for various academic and professional pursuits, fostering a profound appreciation for the power of mathematics.
IB Math 1 on 1 interactive classes online
IB Math 1-on-1 interactive classes online offer students a highly personalized and effective learning experience. These sessions provide individualized attention, allowing students to focus on their specific areas of difficulty and progress at their own pace. The interactive nature of these classes facilitates active engagement, encouraging students to ask questions, seek clarification, and participate in discussions. Online platforms also enable the use of digital resources, interactive simulations, and virtual whiteboards, enhancing the learning experience. With the flexibility of online scheduling and the ability to connect from anywhere, IB Math 1-on-1 interactive classes online provide a convenient and tailored approach to mastering the subject, making it an excellent choice for those seeking to excel in their IB Math studies.
IB Math notes
IB Math notes are invaluable study aids for students undertaking this challenging course. These notes distill complex mathematical concepts and key information into concise and organized formats, making it easier for students to review and grasp essential topics. They typically cover the entire syllabus, serving as a comprehensive reference guide throughout the course. These notes are especially useful during exam preparation and last-minute revisions. Whether handwritten or digital, IB Math notes are an essential companion for students navigating the intricacies of the subject, facilitating effective learning and success in exams.
Can't Complete this
Many students of the IB Diploma Programme find tough to trade-off between IB Math- AA vs AI. IB Math AA (Analysis and Approaches) focus on the classical approaches to IB math, while IB AI (Applications and Interpretation) deals with kind of same problems integrating mathematics and technology. Both IB Math AA and AI are taught in HL and SL.
https://www.ibo.org/programmes/diploma-programme/curriculum/mathematics/
| Math AA | Math AI |
| Focus area-Emphasis on algebraic methods | Focus area-Modelling and Statistics |
| Aims and objectives-Develop strong skills in mathematical thinking | Aims and objectives-Develops strong skills in applying practical mathematical problems to the real-world |
| Deals with-Mathematical problem and exploring real and abstract applications | Deals with–Solving real mathematical problems using technology |
| Meant for– For students interested in mathematics, engineering physical sciences, and some economics | Meant for– For students interested in social sciences, natural sciences, medicine, statistics, business, engineering, some economics, psychology and design thinking |
IB Math-AA or AI?
- IB Math AA SL- Students who are moderate in Math and inclined to take up math application based courses Like Economics, Sciences for their undergraduate levels
- IB Math AA HL- Students who are extraordinary in Math and tend to take up undergraduate courses more reliant on Math like Engineering or a Math (Hons)
- IB Math AI SL- Students who are moderate in Math and inclined to pursue an undergraduate career involving Math and Technology
- IB Math AI HL- Students who are very adept in Math and inclined to pursue an undergraduate career involving Math and Technology
IB math applications and interpretations in data sciences and data analytics
The use of IB math applications and interpretations in data sciences and data analytics, is an innovative improvisation in the IB math syllabus. The study of data sciences is the need of the hour. The informative age we live in deals with structured and unstructured pool of data available, which if collected, organized, and interpreted well give us deeper insights of big business decisions in data analytics.
IB math applications and interpretations text book pdf
Students of the IB Diploma Programme look for IB math applications and interpretations text book pdf like Pearson IB Mathematics Applications and Interpretation SL, Oxford IB Diploma Programme: IB Mathematics: applications and interpretation, Standard Level.
IB math analysis and approaches
IB math analysis and approaches are for students who are keen to study math in depth and width. The focus of IB Math AA is on the applications of real and abstract concepts.
Instruction hours –IB Math AA, Math AI
Instruction hours –IB Math AA, Math AI have been categorized into IB Math HL and IB Math SL for both Math AA and Math AI.
- It is with respect to the varying emphasis on the time dedicated to a given topic in SL and HL levels for both the courses. There are stipulated number of hours, which the IB says, must be spent on Math AI and Math AA syllabus however students can practice on their using other IB resources.
- For Math AA SL, the no. of instruction hours is 150, whereas for HL it is 240. The additional 90 hours in HL counts for 30 hours of Toolkit and Exploration and 60 hours of common SL core content.
- For Math AI SL, the no. of instruction hours is 150, whereas for HL it is 240. The additional 90 hours in HL counts for 30 hours of Toolkit and Exploration and 60 hours of common SL core content.
- In a gist, the SL courses are a complete subset of the HL courses.
How to study for a 7 in new IB Math AA and AI?
Students often question us on how to study for a 7 in new IB Math AA and AI. The solution starts with your approach to study IB Math AA and AI. The facilitator and the IB learners must have regular weekly opportunities to assess progress. The progress tracker based on IB assessment criteria assesses student achievement against formal criteria, such as worksheets, problem sets or quizlets. Learning can also be supported with discussion forums, study tips, wall planners for the academic year, interviews with the tutors, video series on every aspect of the concept of each topic. Many private IB tutors, IB Math tutors and IB online tuitions are available to support learning.
Calculator for IB Math AA and AI
Calculator for IB Math AA and AI is a Graphical Display calculator. Recommended ones are:
Texas Instruments TI-84 Plus CE and Texas Instruments TI-Nspire (a non CAS version)
IB Learner Profile-Math AA and AI
IB learner profile in Math AA and AI require you to be self-regulated learners and encourage to set goals, inquire, explore, self-interrogate, self-critique, reflect on performance, generate perseverance, try out multiple ways of solving, customize their own learning process and challenge yourselves.
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Adopting a constructivist approach where knowledge is not acquired but constructed would surely trigger your research skill. The emphasis is on active learning with respect to real-life involvement, connectedness, and concurrency. IB Math AI and AA is all about thinking from design element and reimagine the problem statement in order to arrive at right solutions with meaningful engagement.
Aims for IB Math
- develop an unquenchable thirst in learners
- understanding the fundamentals of Math, its concepts, nature, and principles
- understanding how to frame hypothesis
- develop the skill of knowledge sharing and transfer amongst peers when it comes to integrating Math with correlated subjects
- acknowledge and apply the inter-correlation between Mathematics and Technology
- appreciate the international-mindedness infused in the learning of the subject
- reflect on the problem solving skills of solving one problem in various ways
IB Math syllabus
| Math AA SL & HL topics | Instructional hours (SL) | Instructional hours(HL) |
| Number and Algebra | 19 | 39 |
| Functions | 21 | 32 |
| Geometry and Trigonometry | 25 | 51 |
| Statistics and Probability | 27 | 33 |
| Calculus | 28 | 55 |
| Toolkit and Exploration | 30 | 30 |
| Total | 150 | 240 |
| Math AI SL & HL topics | Instructional hours (SL) | Instructional hours (HL) |
| Number and Algebra | 16 | 29 |
| Functions | 31 | 42 |
| Geometry and Trigonometry | 18 | 46 |
| Statistics and Probability | 36 | 52 |
| Calculus | 19 | 41 |
| Toolkit and Exploration | 30 | 30 |
| Total | 150 | 240 |
Topics in depth:
| Topics | SL in AA | HL in AA(What’s in addition to SL) |
| Number and Algebra | Scientific notation, arithmetic and geometric sequences and series and their applications including financial applications, laws of logarithms and exponentials, solving exponential equations, simple proof, approximations and errors, binomial theorem | Permutation and combination, partial fractions, complex numbers, proof by induction, contradiction and counter-example, solution of systems of linear equation |
| Functions | Equations of straight lines, concepts and properties of functions and their graphs, including composite, inverse, the identity, rational, exponential, logarithmic and quadratic functions | Factor and remainder theorems, sums and products of roots of polynomials, rational functions, odd and even functions, self-inverse functions, solving function inequalities and the modulus function |
| Geometry and Trigonometry | Volume and surface of 3d solids, right-angled and non-right-angled trigonometry including bearings and angles of elevation and depression, radian measure, the unit circle and the Pythagorean identity, double angle identity for sine and cosine, composite trigonometric functions, solving trigonometric equations | Reciprocal trigonometric ratios, inverse trigonometric functions, compound angle identities, double angle identity for tangent, symmetry properties of trigonometric graphs, vector theory, application with lines and planes, vector algebra |
| Statistics and Probability | Collecting data and using sampling techniques, presenting data in graphical form, measures of central tendency and spread, correlation, regression, calculating probabilities, probability diagrams, normal distribution with standardization of variables, binomial distribution | Bayes Theorem, probability distributions, probability density functions, expectation algebra |
| Calculus | Informal ideas of limits and convergence, differentiation including graphical behaviour of functions, finding equations of normal and tangents, optimization, kinematics involving displacement, velocity, acceleration and the total distance travelled, the chain, product and quotient rules, definite and indefinite integration | Introduction to continuity and differentiability, convergence and divergence, differentiation from first principles, limits and L’Hopital’s rule, implicit differentiation, derivatives of reciprocal and inverse trigonometric functions, integration by substitution and parts, volumes of revolution, solution of first order differential equations using Euler’s method by separating variables and using the integrating factor, Maclaurin series |
| Topics | SL in AI | HL in AI(What’s in addition to SL) |
| Number and Algebra | Scientific notation, arithmetic and geometric sequences and series and their applications including financial applications including loan repayments, simple treatment of logarithms and exponentials, simple proof, approximations and errors | Laws of logarithms, complex numbers and their practical applications, matrices and their applications for solving systems of equations for geometric transformations, and their applications to probability |
| Functions | Creating, fitting and using models with linear, exponential, natural logarithm, cubic and simple trigonometric functions | Use of log graphs, graph transformations, creating, fitting and using models with further trigonometric, logarithmic, rational, logistic and piecewise functions |
| Geometry and Trigonometry | Volume and surface of 3d solids, right-angled and non-right-angled trigonometry including bearings, surface area and volume of the composite 3d solids, establishing optimum positions and paths using Voronoi diagrams | Vector concepts and their applications in kinematics, applications of adjacency matrices, and tree and cycle algorithms |
| Statistics and Probability | Collecting data and using sampling techniques, presenting data in graphical form, measures of central tendency and spread, correlation using Pearson’s product-moment and Spearman’s rank correlation coefficients, regression, calculating probabilities, probability diagrams, normal distribution, Chi-squared test for independence and goodness of fit | Binomial and Poisson distributions, designing data collection methods, tests for reliability and validity, hypothesis testing and confidence intervals |
| Calculus | Differentiation including graphical behaviour of functions and optimization, using simple integration and the trapezium/trapezoidal rule to calculate areas of irregular shapes | Kinematics and practical problems involving rates of change, volumes of revolution, setting up and solving models involving differential equations using numerical and analytic methods, slope fields, coupled and second-order differential equations in context |
Math AI & AA HL/SL assessments
Connecting the IB Learner Profile with the approach towards learning Math AA and AI aims to:
- Nurture the thirst knowledge and understanding in learners
- Inculcate the art of problem-solving in real and abstract world
- Instil the art of communication and interpretation in the learners with the use of sketch or draw mathematical diagrams, graphs or constructions both on paper and using technology, record methods, solutions and conclusions using standardized notation, use appropriate notation and terminology
- Equip them with the optimum use of technology
- Inculcate the art of reasoning and meta-cognition through the construction of knowledge, mathematical arguments through the use of precise statements, logical deduction and inference and by the improvisation of mathematical expressions
- Make them inquirers who will be exploring unfamiliar real and abstract situations, organize, analyse, critique, frame hypothesis and draw conclusions by testing their validity.
The percentage weightage in response within the stipulated time period for SL and HL in both the courses:
| Weightage in response within the stipulated time papers | AA (SL) | AA (HL) | AI (SL) | AI (HL) |
| Paper 1 | 40% (90mins) for Short/Long Response | 30% (120mins) for Short/Long Response | 40% (90mins) for Short Response | 30% (120mins) for Short Response |
| Paper 2 | 40% (90mins) for Short/Long Response | 30% (120mins) for Short/Long Response | 40% (90mins) for Long Response | 30% (120mins) for Long Response |
| Paper 3 | – | 20% (60mins) 2 Long Problems | – | 20% (60mins) 2 Long Problems |
| IA | 20% Exploration | 20% Exploration | 20% Exploration | 20% Exploration |
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