MYP 4-5 Maths tutoring

MYP 4-5 Maths Tutoring - Standard and Extended Rigor

MYP 4-5 Maths tutoring for Grades 9-10. Master Standard and Extended topics including quadratics, logarithms, networks, statistics, and probability.

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MYP Maths

DP courses

Internal Assessment

IA Guidance

Grades 9-10

Elevating the Rigor: MYP 4-5 Standard & Extended (Grades 9-10)

This stage raises the technical ceiling with complex quadratic functions, logarithms, networks, advanced statistics, and probability while keeping assessment writing precise.

What students build

Prepare students for Standard or Extended internal pathway demands.

Build exam-ready fluency across functions, trigonometry, geometry, statistics, and probability.

Train clear Criteria A, B, C, and D execution under timed and investigation-style conditions.

Course pathways

The Course Pathways: Standard vs. Extended

In MYP 4 and 5 (Grades 9 and 10), mathematics splits into two streams. The right choice protects a student's grades today and keeps their IB Diploma options open tomorrow.

Standard Mathematics

Mastery and confidence

Standard mathematics aims to give all students a sound knowledge of mathematical principles while developing the skills needed to meet the objectives of MYP mathematics. For many students, mathematics can feel like an overwhelming maze of formulas to memorize. The MYP Standard track changes that narrative. Instead of pushing students into hyper-abstract, theoretical proofs before they are ready, this pathway focuses on absolute mastery of core principles, mathematical confidence, and practical application.

Extended Mathematics

Pre-DP HL preparation

Includes every standard topic plus advanced topics such as complex geometry, advanced algebra, and pre-calculus concepts. It is built for students who plan to take Higher Level (HL) Math in the IB Diploma Programme and need the abstract reasoning that HL demands from day one.

Choosing the wrong track can leave a student under-challenged or completely overwhelmed, and it can limit their options in the IB Diploma Programme (DP). Here is how I help students navigate this crossroads and reach peak performance, whichever path they take.

Finding the Perfect Fit (Standard vs. Extended)

You don't have to guess which level is right for you. I use a personalized approach to help families make an informed, stress-free decision:

Diagnostic Assessment: I evaluate the student's current skill gaps, abstract reasoning capacity, and pacing.

DP Goal Alignment: We look ahead. If a student wants DP Higher Level (HL) Math later, they need the foundations of MYP Extended today. If they plan to take Standard Level (SL), we focus on mastering MYP Standard to protect their GPA and build confidence.

Strategic Adjustments: If a student is currently struggling in Extended, I help them pivot smoothly or build the bridge to catch up before it impacts their transcripts.

Pushing for that Elusive Grade 7 in Extended Math

Scoring a 7 in Extended Math is notoriously difficult. Traditional math skills (Criterion A) will only get a student so far. To unlock a 7, students must master mathematical investigation and real-world modeling (Criteria B and D). My targeted coaching focuses on:

Cracking the Rubrics: I teach students exactly what IB examiners look for in written math reports, so they do not lose marks on communication or notation.

Advanced Problem Solving: We dive deep into complex algebra, geometry, and pre-calculus concepts, moving past rote memorization to true conceptual understanding.

The DP HL Bridge: A grade 7 in MYP Extended is not just a number on a report card. It is proof that a student has developed the critical thinking skills required to thrive in DP Higher Level Mathematics.

Detailed syllabus

MYP 4 & 5 Syllabus (Grades 9-10 Standard vs. Extended)

The required time allocation is identical across both streams, but the depth and complexity of the topics vary dramatically. Extended layers additional topics on top of the full standard syllabus.

Topic Area	Standard Track	Extended TrackAdditional Topics
Number and Algebra	Number lines & inequalities: Representing and solving linear inequalities, including compound and double inequalities. Laws of exponents: Complete mastery of exponents, including integer and negative exponents. Standard form: Writing, converting, and computing with scientific notation. Proportional reasoning: Analyzing and solving problems using direct and inverse proportion. Simultaneous equations: Solving systems of linear equations using both algebraic methods and graphical analysis. Algebraic manipulation: Expanding brackets, factoring algebraic expressions, and rearranging complex formulas. Quadratic equations: Solving quadratics using factorization, the quadratic formula, and graphing software. Algorithms: Analyzing and using well-defined, step-by-step procedures and flowcharts for solving complex problems.	Formal number systems: Advanced notation mapping across the natural numbers (N), integers (Z), rational numbers (Q), irrational numbers (Q'), and real numbers (R). Error bounds: Calculating exact lower and upper bounds for measurements. Advanced numbers: Converting and executing calculations with recurring decimals and absolute values.
Functions and Mathematical Modeling	Quadratic modeling: Complete mastery of quadratic functions across three exam forms - standard form f(x) = ax² + bx + c, factored form f(x) = a(x - p)(x - q), and vertex form f(x) = a(x - h)² + k - while evaluating the significance of their parameters. Quadratic transformations: Applying translations, reflections, and dilations to quadratic graphs. Exponential functions: Understanding the representation, characteristic shape, and horizontal asymptotes of exponential graphs.	Functional analysis: Evaluating advanced domain and range restrictions for complex inputs. Rational functions: Graphing, analyzing, and finding asymptotes for functions of the form f(x) = (ax + b) / (cx + d). Advanced asymptotes: Mapping the graphic representations, shapes, and asymptotes of cubic, rational, trigonometric, and logarithmic functions. Network optimization: Mapping networks of vertices, edges, and paths, then calculating and optimizing weighted network pathways.
Geometry and Trigonometry	Advanced 3D solids: Calculating volume, surface area, and nets for pyramids, cones, and compound 3D shapes. Fluid capacity: Calculating real-world boundary capacity metrics. Coordinate geometry: A deep dive into gradients, intercepts, distance, midpoint, and gradient formulas. Parallel lines: Analyzing the geometric properties and gradients of parallel lines. Similarity & congruence: Applying formal criteria to construct proofs for similar and congruent triangles. Geometric scaling: Executing scaling operations via enlargement around a fixed point on a plane. Navigation mechanics: Using 3-figure bearings for spatial navigation and routing. Right-angled trigonometry: Computing side lengths and angles using trigonometric ratios (sin, cos, tan) and Pythagoras' theorem.	Circle theorems: Comprehensive application of circle geometry laws, including angle, radius, diameter, arc, sector, chord, segment, and tangent properties. Perpendicular systems: Mathematically proving the gradient relationship between perpendicular lines. Advanced transformations: Enlarging shapes by a rational factor and tracking compound transformations on the coordinate plane. Non-right trigonometry: Proving results via the converse of Pythagoras' theorem and solving non-right triangles with the Sine Rule and Cosine Rule.
Statistics and Probability	Sampling mechanics: Implementing proper sampling techniques and monitoring survey response rates. Data integrity: Identifying data manipulation, tracking distortions, and preventing the misinterpretation of statistics. Advanced graphing: Plotting and reading bivariate data, scatter graphs, box-and-whisker plots, and cumulative frequency graphs. Trend lines: Drawing and analyzing lines of best fit to map data trajectories. Data processing: Computing mean, median, and mode for continuous datasets and locating exact quartiles and percentiles. Spread metrics: Analyzing dispersion, including the range and the Interquartile Range (IQR) and its relationship with the median. Set theory: Implementing mathematical set notation and operations across up to three distinct sets. Probability frameworks: Calculating probabilities of simple, combined, and mutually exclusive events using sample spaces.	Advanced data displays: Constructing and interpreting histograms for continuous, fixed-interval data groups. Standard deviation: Using graphing technology to calculate standard deviation and interpreting its relationship with the mean. Correlation analysis: Describing correlation strength (positive, negative, none, strong, weak) and using technology to find the precise correlation value (r). Complex probability: Computing multi-stage probability using Venn diagrams, tree diagrams, and sample spaces. Conditional probability: Calculating probability for dependent and independent events with the multiplication and addition rules, with heavy emphasis on conditional probability such as P(A\|B).

Swipe horizontally to compare both tracks.

Choosing a pathway

Decoding the Pathways: Standard, Extended, and Enrichment

In the IB Middle Years Programme, mathematics is designed to challenge students according to their individual academic goals and learning paces. The syllabus above divides topics into distinct pathways. Here is how the official IB framework defines these levels, and how my signature enrichment track takes them a step further.

Standard Mathematics

Mastering Core Principles

Standard mathematics aims to give all students a sound knowledge of mathematical principles while allowing them to develop the skills needed to meet the objectives of MYP mathematics.

Who it is for

Students looking to build bulletproof confidence, eliminate math anxiety, protect their school GPA, and prepare seamlessly for the DP Applications & Interpretation (AI) Standard Level track in high school.

The Approach

We focus on absolute fluency in core principles, ensuring students never fall behind on foundational concepts.

Extended Mathematics

Greater Breadth and Depth

Extended mathematics consists of the standard mathematics framework supplemented by additional topics and skills, giving greater breadth and depth to the standard framework.

Who it is for

Ambitious students targeting top marks (6s and 7s) in the MYP, and those who plan to tackle the rigorous DP Analysis & Approaches (AA) SL/HL or AI HL pathways.

The Approach

We push past basic formulas into abstract logic, complex algebraic manipulation, and advanced multi-step problem-solving.

Enrichment Track

Going a Step Further

Signature track

My signature enrichment track supplements the Extended framework with pre-university frameworks and AA HL-style thinking, stretching confident students well beyond the school syllabus.

Who it is for

Students chasing a Grade 7 in Extended Mathematics and a seamless jump into DP Analysis & Approaches (AA) Higher Level.

The Approach

We introduce proof-based reasoning, vectors, combinatorics, and infinite series early, training students to write elegant solutions to unfamiliar problems.

Explore the Enrichment Tier

MYP 1-3 Enrichment Tier

Tutoring approach

Why students in MYP 4-5 choose us

Our instruction for MYP 4-5 Maths is built around current school work, assessment dates, and the way IB marking rewards communication. Students get topic clarity and a repeatable way to show their thinking.

Diagnostic syllabus assessment

Step-by-step scoring strategies

Criterion and rubric feedback

Flexible time-zone scheduling

Results