PREMIER IB MATH TUTORING CENTER

WE HAVE THE EXPERTISE!

## 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 Is The First & Only Institute In Greater Vancouver Focused on IB Programme With Specially Trained IB Tutors We have been around for quite some time and we are particularly proud of our achievements in International Baccalaureate (IB) tutoring with our IB Tutors in all PYP, MYP and DP levels. Our tutors have had exceptional performance in regular and AP tutoring also because of our one of a kind quality control system plus material and teaching support. However, Hack Your Course is more geared towards giving the highest quality work for challenging IB students either SL or HL. We know ins and outs of the programme, we have the extensive teaching material and we have the expertise and the experience. If you are an IB student, look no further. If you are a general K-12 student, we guarantee your happiness also. Join us to get the quality you deserve.

WE HAVE HAD HUNDREDS OF HAPPY IB CLIENTS

Hack Your Course Is The First & Only Institute In Greater Vancouver Focused on IB Programme With Specially Trained IB Tutors We have been around for quite some time and we are particularly proud of our achievements in International Baccalaureate (IB) tutoring with our IB Tutors in all PYP, MYP and DP levels. Our tutors have had exceptional performance in regular and AP tutoring also because of our one of a kind quality control system plus material and teaching support. However, Hack Your Course is more geared towards giving the highest quality work for challenging IB students either SL or HL. We know ins and outs of the programme, we have the extensive teaching material and we have the expertise and the experience. If you are an IB student, look no further. If you are a general K-12 student, we guarantee your happiness also. Join us to get the quality you deserve.

## 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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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 1Number and Algebra Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations, System of Equations, Arithmetic and Geometric Sequences 20 Topic 2Descriptive Statistics Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation 12 Topic 3Logic, Sets and Probability Simple & Compound Propositions, Truth Table & Logical Equivalent, Converse, Inverse and Contrapositive, Valid Arguments, Experimental & Theoretical Probability, Compound EventsTree Diagrams, Sampling, Laws of Probability, Independent Events, 20 Topic 4Statistical Application Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence 17 Topic 5Geometry 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 6Mathematical Models Practically Embedded in Every Other Subject 20 Topic 7Introduction 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 is assessed by the teacher and moderated by IB. 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 1Number and Algebra Order of Operations, Exponents, Factoring and Expansions, Linear and Quadratics Equations, System of Equations, Arithmetic and Geometric Sequences 20 Topic 2Descriptive Statistics Types of Data, Simple and Grouped Quantitative Discreet/Continuous Data, Measuring the Center and Spread of Data, Graphs and Standard Deviation 12 Topic 3Logic, 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 4Statistical Application Normal Distribution, Correlations, Line of Best Fit, Linear Regression, The test of independence 17 Topic 5Geometry 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 6Mathematical Models Practically Embedded in Every Other Subject 20 Topic 7Introduction 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 is assessed by the teacher and moderated by IB. 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 IA. The details are in the following table.

 COMPONENTS DETAILS TEACHINGHOURS Topic 1Algebra Arithmetic/Geometric Sequences and Series, Sigma Notation, Logarithms and Binomial Theorem[Conjectures, Mathematical Induction, Counting Methods] 30 Topic 2Functions and Equations Quadratic Functions and Equations, Rational Functions, Composite and Inverse Functions and Transformations, Even and odd functions, modulus functions, inequalities 22 Topic 3Circular 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 4Vectors Addition and Subtraction of Vector, Scalar and Vector Products, Vector Equation of a Line and Application of Vectors, Parallelism, 24 Topic 5Statistics 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 6Calculus 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 7Statistics & Probability Discrete & Continuous Random Variables, Probability Generating Functions, Central Limit Theorem, Point Estimation, Confidence Interval for Means, Significance & Hypothesis Testing, Bivariate Statistics Topic 8Sets, Relations & Groups Equal Set & Set Differences, Partitions & Venn Diagrams, Venn Diagrams & Set Properties, Cartesian Products, Modular Congruence, Injections, Surjections, Bijections, Binary Operations Topic 9Calculus 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 10Discrete 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) IAMathematics 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 is assessed by the teacher and moderated by IB. 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.