In this guide, we have a look at IB Math covered in MYP and DP of the IB curriculum. We also look at differences between Analysis and Approach (AA) and Application and Interpretation (AI) in the new curriculum of Math DP. We will then offer the students and tutors some tips for tackling the math course and getting the grades they deserve.

# Mathematics for the Middle Year Programme (MYP)

Students aged 11 to 16 are enrolled in the MYP Programme in which IB students “learn how to learn.” Students who seek an MYP math certificate may take a *two-hour on-screen examination *while carrying out a mid-level personal project and completing community service.

MYP Mathematics Math IB is presented at two levels: **standard and extended***.* **Standard Mathematics** aims to provide students with knowledge of basic mathematical concepts, while **Extended Mathematics** supplements the standard level, introducing additional topics and concepts to encourage greater depth and breadth of comprehension.

MYP mathematics (1 through 5 (pre-diploma)) consists of four branches of math that include:

**1. NUMBERS**

**Topics covered in both standard and extended levels include** forms of number (integers, fractions, decimals, absolute value, etc), number systems, prime number & factors, sets, Venn diagrams, number lines, estimation, ratio & percentage, number sequences, and integer exponents.

**Topics only covered in the extended level include** fractional exponents, logarithms, and number bases.

Four basic operations for whole numbers, integers, decimals and fractions, number lines, rounding, …

**2. ALGEBRA**

**Topics covered in both standard and extended levels include**basic algebraic operations, factorization, substitution, simplification, integer & fractional exponents, patterns & sequences, algorithms, functions (linear, quadratic, exponential, trigonometric), domain & range, transformations, and inequalities.

**Topics only covered in the extended level include**logarithm with different base numbers, functions & graphs (inverse and composite), arithmetic & geometric sequences. building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …

**3. GEOMETRY & TRIGONOMETRY**

**Topics covered in both standard and extended levels include** distance formula, angle properties, triangle properties (similar triangles, pythagoras’ theorem), perimeter/area/volume, the cartesian plane, trigonometric ratios, simple transformations (rotations, reflection, translation, stretches), circle geometry (chord length, angles & arcs).

**Topics only covered in the extended level include** 3D coordinate geometry, similarity & congruence, vectors, sine & cosine rules, trigonometric identities, angle measures (use of radians), the unit circle.

angles, lines, parallels and perpendicular lines, parallelism, triangles, quadrilaterals, polygons, circles, 3D objects, coordinate geometry, trigonometric ratios, sine and cosine rules, solving a triangle, …

**4. STATISTICS & PROBABILITY**

**Topics covered in both standard and extended levels include **graphical representation (pie charts, histograms, line graphs, scatter plots, box-and-whisker), population sampling, mean/mode/median, range, interquartile range, probability (of independent, mutually exclusive, combined, successive events). **Topics only covered in the extended level include ** standard deviation, conditional probability, samples and populations, dot tables, tally and frequency tables, column graphs, pie charts, plots, mean, median, mode and range, experimental probability, Venn diagram, probability of two-way table, multiplying probabilities and compound events…

**The new HL pre-diploma curriculum (MYP 5) covers most of the DP Math 11 SL topics. **MYP requires** 50-70 hours of teaching** time depending on the level. For completing the course students need to complete an end-of-term on-screen examination. The students in **MYP **math are assessed on a **scale from 1 to 8** according to the following four criteria: **“**Knowing and Understanding, Investigating Patterns, Communicating, and Applying mathematics in real-life contexts”.

Unlike DP, finding MYP past papers online is difficult. Maybe one of the reasons is that they are not pdfs, but **interactive online programs that can be used only once in the actual exam**. **The books** from famous publishers like Oxford, Haes and Harris, Cambridge, Hodder education and **students’ teachers** will be some of the best. You can find one example in IB’s official MYP Math Brief and one sample of a grade report here.

The best way to prepare for the MYP math final exam and learn the material in-depth for covering all of the criteria needed to get the highest score is to use a tutoring service like Hack Your Course AP and IB Tutoring Service. We have been helping and tutoring IB students for years and have a proven record.

### Mathematics for IB Diploma Programme

From August 2019, IBO introduced a new change to the curriculum. The four old courses (Math Studies, Math SL, Math HL, Further) were replaced by the two routes that can either be taken at Standard Level (SL) or Higher Level (HL). The two routes are “Applications & Interpretations (AI)” and “Applications & Approaches (AA).” Thus, students can now choose from the following four courses: AA SL, AA HL, AI SL, and AI HL.

The IB Diploma Programme has a wide range of math courses that students may take according to their goals and capabilities. That being said, not all of them are presented in all schools, especially the schools that are not exclusively IB. Currently, the most common offerings at schools are Math AA SL and Math AA HL.

**Below we will explore the specifics of the four courses and the differences between them.**

### 1. IB Mathematics Standard Level (SL)

Students can now take one of the two courses under Math SL: **Math AA SL and Math AI SL**. Generally, Math SL is more suitable for students interested in math and expected to have a sound and thorough knowledge of math in their future studies. Currently, most schools only offer IB Math SL and IB Math HL in their programs.

The IB Diploma Programme has a wide range of math courses that students may take according to their goals and capabilities. That being said, not all of them are presented in all schools, especially the schools that are not exclusively IB. Currently, the most common offerings at schools are Math AA SL and Math AA HL.

**Below we will explore the specifics of the four courses and the differences between them.**

### (A) Mathematics: Analysis and Approaches (Math AA SL)

**Math AA SL is similar to the old Math SL curriculum** and is more suitable for students moderate at math and interested in pursuing courses involving a limited amount of mathematics after high school (for example, Economics, Biology, Chemistry, etc.). However, it should be noted that for students aspiring to study a STEM major in university (Science, Technology, Engineering, Mathematics), **it is still recommended to take Math HL. Since it is a requirement for some programs and admission officers look favorably at students with more robust math knowledge. Make sure to consult with the institution of your goals for confirmation.**

Table 1: Syllabus Outline for Math AA SL

Component | Details / Subtopics | Teaching Hours |
---|---|---|

Topic 1: Number and Algebra | ● Arithmetic, geometric sequence & series ● Sigma notation ● Financial applications of geometric sequences & series (compound interest, depreciation) ● Logarithms (base 10 and e) & laws ● Simple deduction proofs ● Change of base (log) ● Binomial theorem | 19 |

Topic 2: Functions | ● Domain & range ● Inverse Functions ● Point of intersections using GDC ● Composite Functions ● Quadratic Functions ● Use of discriminant ● Reciprocal & Rational Functions ● Exponential Functions ● Combined Transformations | 21 |

Topic 3: Geometry & Trigonometry | ● Distance & Midpoint ● Volume, SA of 3D shapes ● Sine, cosine, tangent ratios ● Sine & Cosine rule ● Circle geometry (sector area, arc length) ● Trigonometric identities | 25 |

Topic 4: Statistics & Probability | ● Discrete & continuous data ● Histograms & Box-and-whisker ● Mean/median/mode ● Standard Deviation, variance, interquartile range ● Pearson’s product moment coefficient ● Regression line ● Probability (mutually exclusive, independent, combined, conditional) ● Binomial & normal distribution ● Inverse normal calculations | 27 |

Topic 5: Calculus | ● Limit ● Derivative as rate of change ● Tangents & normals at given point ● Intro to anti-differentiation ● Chain, product, quotient rules ● Second derivative ● Max/min/inflection points ● Optimization & Kinematics problems ● Indefinite & definite integrals ● Area between curves | 28 |

*Note: All the above topics are compulsory, and students must learn all the sub-topics listed under each topic. *

Table 2: Assessment Outline for Math AA SL

Assessment | Format of Assessment | Time (hours) | Weighting of final grade (%) |
---|---|---|---|

External Assessment | 3 | 80 | |

Paper 1 | ● Graphing Display Calculator (GDC) NOT allowed ● Compulsory short-response questions based on syllabus | 1.5 | 40 |

Paper 2 | ● Graphing Display Calculator (GDC) allowed ● Compulsory extended-response questions based on syllabus | 1.5 | 40 |

Internal Assessment | 20 | ||

Mathematical Exploration | ● Individual work involving investigation of an area of mathematics | 20 |

*Note: The external assessments (paper 1 and 2) are marked by examiners appointed by IBO, while the internal assessment (mathematical exploration) is assessed by the teacher, then moderated by IBO.*

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