Extended

Prepare for IB MYP 5 Grade 10 Maths with Standard and Extended topic-wise practice. Covers Number, Algebra, Functions, Geometry, Trigonometry and Statistics.

Topics in this Subunit

Fractional Exponents
Learn fractional exponents and their connection to radicals in MYP Year 5 Extended Maths. Covers rational powers, index laws, and worked examples.
Explore
Logarithmic & Exponential Functions
Explore logarithms and exponential functions in MYP Year 5 Extended Maths. Includes log laws, exponential growth and decay, and solving exponential equations.
Explore
Number Sequences
Study geometric sequences and series in MYP Year 5 Extended Maths. Covers nth term, sum formulas, connection to exponential functions, and exam tips.
Explore
✦
Want help mastering this topic?
Work 1-on-1 with an IB expert tutor.
Book a session →

Extended Level Number in MYP Year 5

The Extended level strand of Unit 1 Number covers all Standard level content plus three additional topic areas that introduce greater abstraction and mathematical depth. These topics are intended for students with strong numerical and algebraic foundations who are considering DP Mathematics at a higher level.

What Extended Level Adds

Fractional Exponents

Students move beyond integer exponents to work with rational (fractional) powers. This includes expressing roots using exponent notation, simplifying expressions like 8^(2/3), and connecting fractional exponents to radical form. This deepens the understanding of index laws covered at Standard level.

Logarithmic and Exponential Functions

Extended students are introduced to logarithms as the inverse of exponential functions. This includes understanding the relationship loga(x) = y ↔ ay = x, applying basic logarithm laws, and modelling exponential growth and decay situations. This is a significant conceptual step that forms the basis for much of DP Mathematics.

Geometric Sequences and Series

Beyond arithmetic sequences, Extended students explore geometric sequences — where each term is multiplied by a constant ratio — and learn formulas for the nth term and the sum of the first n terms. This provides a richer picture of sequence behaviour and connects to exponential growth models.

Who Extended Level Is For

Extended level suits students who find Standard level content manageable without significant effort and who want to be well prepared for DP Mathematics: Analysis and Approaches (HL or SL) or Applications and Interpretation HL. It is also appropriate for students who enjoy exploring mathematical structure and reasoning beyond procedural application.

Assessment at Extended Level

Extended level assessment tasks include everything from Standard level, plus questions requiring deeper reasoning about logarithms, exponential models, and geometric sequences. Criterion B (Investigating Patterns) is particularly relevant at Extended level, as students explore connections between these more abstract concepts.

Frequently asked questions

Extended pushes deeper into abstraction. Beyond Standard topics, you tackle fractional and rational exponents (e.g. simplifying 27^(2/3)), logarithmic and exponential functions including their inverse relationship and laws of logs, and advanced number sequences such as geometric progressions, recursive definitions, and sigma-notation series. Expect more algebraic manipulation of surds, work with irrational and transcendental numbers, and compound growth/decay modelling.
Not formally mandated, but strongly recommended if you plan to take DP Mathematics: Analysis and Approaches (AA), especially at HL. Logarithms, exponentials, and sequences/series are core DP AA topics; Extended gives you a head start. For DP Applications and Interpretation (AI), Extended is helpful but not essential — Standard is usually sufficient at SL. If you're undecided or aiming for STEM, choosing Extended keeps DP HL options open.
Extended questions sit higher (typically 5–8 marks) and demand more than procedural recall. Expect multi-step problems combining two or three concepts — for example, solving an exponential equation by converting to logarithmic form, then interpreting the answer in context. Criteria C and D carry more weight, with unfamiliar scenarios and open-ended modelling. You'll need to justify reasoning, generalise patterns algebraically, and handle abstract variables.
Ready to start?
Book a free diagnostic.
Get started →

Related