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IB MATH PROGRAMME

MYP MATH
MATH STUDIES
MATH SL
MATH HL
FURTHER MATH

NOTE: Math DP has branched into Analysis and Approaches (AA) or the Applications and Interpretation (AI) that focus on different aspects. The material here is not updated yet.

MYP MATH PROGRAMME

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.
Math IB is presented at two levels: standard and extended. (The curriculum has just recently been changed, and teachers are still preparing the proper materials, but in general the subjects summarized below are covered)

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

1. NUMBERS

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

2. ALGEBRA

building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …

3. GEOMETRY & TRIGONOMETRY

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

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 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, applying mathematics in real-life contexts”
The questions for the past years of MYP e-assessment are not released.  However, some books like “IB MYP by Concept” have some examples and teach the methods of how to approach these kinds of questions.

Hack Your Course IB Tutoring Service Is The Premier IB tutoring center in Greater Vancouver, and Toronto Focused on IB Programme With Specially Trained IB Tutors from all over Canada. We have been around for quite some time. We are incredibly proud of our International Baccalaureate (IB) tutoring achievements with our IB Tutors in all PYP, MYP and DP levels.  We know the IB programme’s ins and outs of the IB programme, we have extensive teaching material, and we have the expertise and experience. If you are an IB student, look no further. Join us to get the quality you deserve. Our advanced whiteboard technology, rigorous quality control system, proven track and experience gives us a distinctive edge in online tutoring for IB students all over Canada.

IB tutoring center in Greater Vancouver and Toronto Focused on IB Programme With Specially Trained IB Tutors from all over Canada. We have been around for quite some time. We are incredibly proud of our International Baccalaureate (IB) tutoring achievements with our IB Tutors in all PYP, MYP and DP levels.  We know the IB programme’s ins and outs of the IB programme, we have the extensive teaching material and have the expertise and experience. If you are an IB student, look no further. Join us to get the quality you deserve. Our advanced whiteboard technology, rigorous quality control system, proven track and experience gives us the unparalleled edge in online tutoring for IB students all over Canada.

MYP MATH PROGRAMME

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.
Math IB is presented at two levels: standard and extended. (The curriculum has just recently been changed, and teachers are still preparing the proper materials, but in general the subjects summarized below are covered)

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

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

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

building expressions, simplifying expressions, expansion rules, solving equations, linear inequalities, factorization, rational equations, …

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

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 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, applying mathematics in real-life contexts”
The questions for the past years of MYP e-assessment are not released.  However, some books like “IB MYP by Concept” have some examples and teach the methods of how to approach these kinds of questions.

IB MATH DIPLOMA PROGRAMME​

The IB Diploma Programme has a wide range of math courses that according to students’ goals and capabilities may be taken. That being said, not all of them are presented in all schools, especially the schools that are not exclusively IB.

These subjects include IB Mathematics Studies SL , Math SL, Math HL, and Further Mathematics HL that very few students take, and that is one of the reasons (besides cost) why it is not even presented in most schools. Right now around 5 students in Mulgrave are taking Further Mathematics HL.

1. IB MATHEMATICS STUDIES, SL​

This subject will be the  least academically demanding among the four courses. Mathematics Studies is more suitable for students who do not wish to take mathematics as an essential part of their studies at university like law, psychology, languages and so on. Students who need to take math as a major component of their studies like engineering or sciences must take Math SL or HL for their credits to be counted. Mathematics Studies is not accepted as credits at some universities for some majors like engineering.

The curriculum for Mathematics Studies SL and the recommended teaching hours include the following:

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

Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations, System of Equations, Arithmetic and Geometric Sequences

Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation

Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Valid Arguments, Experimental & Theoretical Probability, Compound Events, Tree Diagrams, Sampling, Laws of Probability, Independent Events, 

Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence

Pythagoras’ theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules

​Practically Embedded in Every Other Subject

Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization

The external exam has two papers that both require a Graphical Display Calculator (GDC)

first ib math, chemistry ib, physics IB tutoring in West Vancouver Mulgrave

15 short, syllabus-based questions, GDC Required

16 extended, syllabus-based questions, GDC required

A Personal and Practical Project That Might involve “Collection of Information or Generation of Measurements” Followed by Analysis and Evaluation. IA is assessed by the teacher and moderated by IB.

2. IB MATHEMATICS, SL

Math SL is more suitable for students who are interested in math and expect to have a sound and thorough knowledge of math in their future studies. Most schools only offer IB Math SL and IB Math HL in their programs.
Recommended teaching hours for Math HL are 240 vs 150 for Maths SL and mathematics studies SL.
The breakdown of components/sub-components and teaching hours are as follows:

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

Arithmetic/Geometric Sequences and Series, Sigma Notation, Logarithms and Binomial Theorem
Quadratic Functions and Equations, Rational Functions, Composite and Inverse Functions and Transformations
Circles, Radians, Arcs and Sectors, Unit Circle, Trig Identities, Sine Rule and Cosine Rule, Ambiguous Case
Addition and Subtraction of Vector, Scalar Products, Vector Equation of a Line and Application of Vectors
Presenting Data, Univariant Analysis, Measure of Central Tendency, Measure of Dispersion Cumulative Frequency, Variance and Standard Deviation, Venn Diagram, Conditional Probability and Probability Tree Diagram
Limits and derivatives, Chain Rule and Higher Order Derivative, Rates of Change and Motion in Line, Extrema and Optimization Problems
An Individual Written Work Involving Exploration of an Area of Mathematics

The External Exam has two papers for a total of 3 hours as follows:

first ib math, chemistry ib, physics IB tutoring in West Vancouver Mulgrave

Two Sections of Short & Extended Response Questions. No Calculator Allowed 

​Two Sections of Short & Extended Response Questions, GDC Allowed
A Personal and Practical Project That Might involve “Collection of Information or Generation of Measurements” Followed by Analysis and Evaluation. IA is assessed by the teacher and moderated by IB.

3. IB MATHEMATICS HL

Students who anticipate mathematics as a major component of their university studies should take Math HL. IB recommends it if you are aiming for math, engineering, physics and economics majors.

The minimum recommended teaching hours for IB Math HL is 240 hours; 182 hours for the core content, 48 hours for one of the options, 10 hours for the IA. The details are in the following table.

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ib chemistry tutoring

Arithmetic/Geometric Sequences and Series, Sigma Notation, Logarithms and Binomial Theorem [Conjectures, Mathematical Induction, Counting Methods]
Quadratic Functions and Equations, Rational Functions, Composite and Inverse Functions and Transformations, Even and odd functions, modulus functions, inequalities
Circles, Radians, Arcs and Sectors, Unit Circle, Trig Identities, Sine Rule and Cosine Rule, Ambiguous Case, Trigonometric Functions, negative and complementary angle formulae
Addition and Subtraction of Vector, Scalar and Vector Products, Vector Equation of a Line and Application of Vectors, Parallelism
Presenting Data, Univariant Analysis, Measure of Central Tendency, Measure of Dispersion Cumulative Frequency, Variance and Standard Deviation, Venn Diagram, Conditional Probability and Probability Tree Diagram, independent events, probability using permutation and combinations
Limits and derivatives, Chain Rule and Higher Order Derivative, Rates of Change and Motion in Line, Extrema and Optimization Problems, integration, special substitutions
An Individual Written Work Involving Exploration of an Area of Mathematics
Discrete & Continuous Random Variables, Probability Generating Functions, Central Limit Theorem, Point Estimation, Confidence Interval for Means, Significance & Hypothesis Testing, Bivariate Statistics
Equal Set & Set Differences, Partitions & Venn Diagrams, Venn Diagrams & Set Properties, Cartesian Products, Modular Congruence, Injections, Surjections, Bijections, Binary Operations
Number Properties, Limits, Continuity of Functions, Rolle’s theorem and the Mean Value Theorem (MVT), Riemann sums, The Fundamental Theorem of Calculus, Improper integrals, Differential equations, Separable differential equations, The integrating factor method
Congruences, The Chinese Remainder Theorem, Fermat’s Little Theorem, Dirichlet’s Principle, Graph Theory, Planar graphs, Trees and algorithms, The Chinese Postman Problem (CPP), The Travelling Salesman Problem (TSP)
So, the students have 60% more teaching hours in Math HL than Math SL. If the degree you want to pursue does not prefer HL and it won’t be a bonus, taking HL over SL is not recommended because of the sheer number of hours you must put into it in comparison with Math SL.
The assessment also has one more section (Paper 3) that for the most part is based on extended options. The details of the exam are as follows:

first ib math, chemistry ib, physics IB tutoring in West Vancouver Mulgrave

Two Sections of Short & Extended Response Questions. No Calculator Allowed

​Two Sections of Short & Extended Response Questions, GDC Allowed
Extended Response Questions from Options Course
A Personal and Practical Project That Might involve “Collection of Information or Generation of Measurements” Followed by Analysis and Evaluation. IA is assessed by the teacher and moderated by IB.

4. Further Mathematics HL (FMHL)

Further Mathematics HL is an intense course designed for students with a very strong background and interest in math. Students can take FMHL alongside Math HL.
Students cover 5 subjects in a total of 240 hours, and they write two 2.5 hrs long exam papers with no Internal Assessment since they need to take Math HL anyways.

The details of the programme can be found at this link.

IB MATH DIPLOMA PROGRAMME

The IB Diploma Programme has a wide range of math courses that according to students’ goals and capabilities may be taken. That being said, not all of them are presented in all schools, especially the schools that are not exclusively IB.
These subjects include IB Mathematics Studies SL , Math SL, Math HL, and Further Mathematics HL that very few students take, and that is one of the reasons (besides cost) why it is not even presented in most schools. Right now around 5 students in Mulgrave are taking Further Mathematics HL.

1. IB MATHEMATICS STUDIES, SL

This subject will be the least academically demanding among the four courses. Mathematics Studies is more suitable for students who do not wish to take mathematics as an essential part of their studies at university like law, psychology, languages and so on. Students who need to take math as a major component of their studies like engineering or sciences must take Math SL or HL for their credits to be counted. Mathematics Studies is not accepted as credits at some universities for some majors like engineering.

The curriculum for Mathematics Studies SL and the recommended teaching hours include the following:

Component

Details

Teaching Hours

Topic 1

Number and Algebra

Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations,
System of Equations, Arithmetic and Geometric Sequences

20

Topic 2

Descriptive Statistics

Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data,

Measuring the Center and Spread of Data, Graphs and Standard Deviation

12

Topic 3

Logic, Sets and Probability

Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive,
Valid Arguments, Experimental & Theoretical Probability, Compound Events

Tree Diagrams, Sampling, Laws of Probability, Independent Events,  

20

Topic 4

Statistical Application

Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence

17

Topic 5

Geometry and Trigonometry

Pythagoras theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules

18

Topic 6

Mathematical Models

Practically Embedded in Every Other Subject

20

Topic 7

Introduction to Differential Calculus

Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization

18

Internal Assessment

A Personal and Practical Project That Might involve Collection of Information or Generation of Measurements Followed by Analysis and Evaluation

25

 

The external exam has two papers that both require a Graphical Display Calculator (GDC)

Assessment

Format Of Assessment

Time

(hr)

Weight

(%)

External Assessment (EA)

Paper 1

(GDC Required)

15 short, syllabus-based questions

1.5

40

Paper 2

(GDC Required)

16 extended, syllabus-based questions

1.5

40

Internal Assessment (IA)

Project

A Personal and Practical Project That Might involve "Collection of Information or Generation of Measurements"

Followed by Analysis and Evaluation. IA used to be assessed by the teacher and moderated by IB until recently.

 

20

 

2. IB MATHEMATICS, SL

Math SL is more suitable for students who are interested in math and expect to have a sound and thorough knowledge of math in their future studies. Most schools only offer IB Math SL and IB Math HL in their programs.

Recommended teaching hours for Math HL are 240 vs 150 for Maths SL and mathematics studies SL.

The breakdown of components/sub-components and teaching hours are as follows:

Component

Details

Teaching Hours

Topic 1

Number and Algebra

Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations,
System of Equations, Arithmetic and Geometric Sequences

20

Topic 2

Descriptive Statistics

Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data,

Measuring the Center and Spread of Data, Graphs and Standard Deviation

12

Topic 3

Logic, Sets and Probability

Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Valid Arguments, Experimental & Theoretical Probability, Compound Events, Tree Diagrams, Sampling, Laws of Probability, Independent Events,

20

Topic 4

Statistical Application

Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence

17

Topic 5

Geometry and Trigonometry

Pythagoras theorem, Midpoint, Gradient, Parallel and Perpendicular Lines, Vertical and Horizontal Lines, Equations of Lines, Graphing Lines, Perimeter, Area and Volume, The trigonometric ratios, Areas of triangles, The Sine & Cosine Rules

18

Topic 6

Mathematical Models

Practically Embedded in Every Other Subject

20

Topic 7

Introduction to Differential Calculus

Rates of Change, Instantaneous Rates of Change, The Derivative Function, Rules of Differentiation, Stationary Points, Optimization

18

Internal Assessment

A Personal and Practical Project That Might involve Collection of Information or Generation of Measurements Followed by Analysis and Evaluation

25

 

The External Exam has two papers for a total of 3 hours as follows:

Assessment

Format of Assessment

Time

(hr)

Weight

(%)

 

External Assessment (EA)

3

 

Paper 1

(No Calculator)

Two Sections of Short & Extended Response Questions

1.5

40

Paper 2

(GDC Required)

Two Sections of Short & Extended Response Questions

1.5

40

Internal Assessment (IA)

Project

A Personal and Practical Project That Might involve “Collection of Information or Generation of Measurements“ Followed by Analysis and Evaluation. IA used to be assessed by the teacher and moderated by IB until recently.

 

20

 

3. IB MATHEMATICS, HL

Students who anticipate mathematics as a major component of their university studies should take Math HL. IB recommends it if you are aiming for math, engineering, physics and economics majors.

The minimum recommended teaching hours for IB Math HL is 240 hours; 182 hours for the core content, 48 hours for one of the options, 10 hours for the Internal Assessment. The details are in the following table.

COMPONENTS

DETAILS

TEACHING

HOURS

Topic 1

Algebra

Arithmetic/Geometric Sequences and Series, Sigma Notation, Logarithms and Binomial Theorem

[Conjectures, Mathematical Induction, Counting Methods]

30

Topic 2

Functions and Equations

Quadratic Functions and Equations, Rational Functions, Composite and Inverse Functions and Transformations, Even and odd functions, modulus functions, inequalities

22

Topic 3

Circular Functions and Trig.

Circles, Radians, Arcs and Sectors, Unit Circle, Trig Identities, Sine Rule and Cosine Rule, Ambiguous Case, Trigonometric Functions, negative and complementary angle formulae

22

Topic 4

Vectors

Addition and Subtraction of Vector, Scalar and Vector Products, Vector Equation of a Line and Application of Vectors, Parallelism, 

24

Topic 5

Statistics and Portability

Presenting Data, Univariant Analysis, Measure of Central Tendency, Measure of Dispersion, Cumulative Frequency, Variance and Standard Deviation, Venn Diagram, Conditional Probability and Probability Tree Diagram, independent events, probability using permutation and combinations

 

36

Topic 6

Calculus

Limits and derivatives, Chain Rule and Higher Order Derivative, Rates of Change and Motion in Line, Extrema and Optimization Problems, integration, special substitutions

48

OPTIONS

48

Topic 7

Statistics & Probability

Discrete & Continuous Random Variables, Probability Generating Functions, Central Limit Theorem, Point Estimation, Confidence Interval for Means, Significance & Hypothesis Testing, Bivariate Statistics

 

Topic 8

Sets, Relations

& Groups

Equal Set & Set Differences, Partitions & Venn Diagrams, Venn Diagrams & Set Properties, Cartesian Products, Modular Congruence, Injections, Surjections, Bijections, Binary Operations

 

Topic 9

Calculus

Number Properties, Limits, Continuity of Functions, Rolle̓s theorem and the Mean Value Theorem (MVT), Riemann sums, The Fundamental Theorem of Calculus, Improper integrals, Differential equations, Separable differential equations, The integrating factor method

 

Topic 10

Discrete Mathematics

Congruences, The Chinese Remainder Theorem, Fermat̓s Little Theorem, Dirichlet̓s Principle, Graph Theory, Planar graphs, Trees and algorithms, The Chinese Postman Problem (CPP), The Travelling Salesman Problem (TSP)

 

IA

Mathematics Exploration

 

An Individual Written Work Involving Exploration of an Area of Mathematics

10

 

So, the students have 60% more teaching hours in Math HL than Math SL. If the degree you want to pursue does not prefer HL and it won’t be a bonus, taking HL over SL is not recommended because of the sheer number of hours you must put into it in comparison with Math SL. The assessment also has one more section (Paper 3) that for the most part is based on extended options. The details of the exam are as follows:

Assessment

Format of Assessment

Time

(hr)

Weight

(%)

 

External Assessment (EA)

5

 

Paper 1

(No Calculator)

Two Sections of Short & Extended Response Questions

2

30

Paper 2

(GDC Required)

Two Sections of Short & Extended Response Questions

2

30

Paper 3

(GDC Required)

Extended Response Questions from Options Course

1

20

Internal Assessment (IA)

Project

A Personal and Practical Project That Might involve Collection of Information or Generation of Measurements Followed by Analysis and Evaluation.
IA used to be assessed by the teacher and moderated by IB until recently.

 

20

 

4. FURTHER MATHEMATICS HL (FMHL)

Further Mathematics HL is an intense course designed for students with a very strong background and interest in math. Students can take FMHL alongside Math HL.

Students cover 5 subjects in a total of 240 hours, and they write two 2.5 hrs long exam papers with no Internal Assessment since they need to take Math HL anyways.

The details of the programme can be found at this link.

IB MATH AND IB ENGLISH AND IB CHEMISTRY TUTORING WITH HACK YOUR COURSE IB TUTORING SERVICE IN TORONTO AND VANCOUVER
WHERE TO FIND US
HACK YOUR COURSE AP AND IB TUTORING SERVICE
99 Yorkville Avenue
Toronto, ON M5R 1C1
Phone: (437) 998-2533
Email: info@ibtutoring.ca
Hack Your Course AP AND IB Tutoring Service
#230, 2030 Marine Drive
North Vancouver, BC
V7P 1V7, Canada
Phone: (604) 971-2533
WHERE TO FIND US

Hack Your Course IB Tutoring Service
99 Yorkville Avenue Toronto, ON M5R 1C1
Phone: (437) 998-2533
Email: info@ibtutoring.ca

Hack Your Course IB Tutoring Service
#230, 2030 Marine Drive
North Vancouver, BC, V7P 1V7, Canada
Phone: (604) 971-2533, (437) 998-2533
Email: info@hackyourcourse.com