Curriculum

Number Branch Topics

Lessons, worked examples, and practice questions for MYP Number.

Standard & Extended

Number Systems

Classification of numbers into Natural (ℕ), Integers (ℤ), Rational (ℚ), Irrational, and Real numbers (ℝ). Set relations and interval notation.

  • ℕ, ℤ, ℚ, ℝ
  • Rational Proofs
  • Interval Notation
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Standard & Extended

Forms of Number

Scientific notation (Standard Form $a \times 10^k$), significant figures, rounding, surd simplification, and absolute values.

  • Scientific Notation
  • Surds & Radicals
  • Rounding Rules
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Standard

Integer Exponents

Laws of indices for positive, negative, and zero exponent powers. Simplifying complex exponential algebraic expressions.

  • Index Laws
  • Power Rules
  • Simplification
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Extended

Fractional Exponents & Radicals

Converting between rational exponents ($x^{m/n}$) and radical form ($\sqrt[n]{x^m}$). Solving radical and exponential equations.

  • Rational Indices
  • Radicals
  • Exponential Eqs
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Extended

Logarithms

Definition of logarithmic functions, logarithmic laws (product, quotient, power), and change of base formula.

  • Log Laws
  • Base Conversion
  • Solving Exponential Eqs
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Standard & Extended

Number Sequences

Arithmetic and Geometric sequences, general $n^{\text{th}}$ term formulas ($u_n$), and finite series summation ($S_n$).

  • Arithmetic Sequences
  • Geometric Sequences
  • Series Summation
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Standard

Ratio & percentage

Direct and inverse proportion, percentage change, compound interest, appreciation, and depreciation applications.

  • Proportion
  • Compound Interest
  • Depreciation
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Standard & Extended

Sets & Venn Diagrams

Set operations (Union $\cup$, Intersection $\cap$, Complement $A'$), subset notation, and multi-set Venn diagram problem solving.

  • Set Notation
  • Venn Diagrams
  • Logic
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IB MYP Framework

Inquiry Concepts in MYP Number

MYP Mathematics uses key and related concepts to promote deep conceptual understanding and transfer learning.

Key Concept: Form

Understanding how numbers can be represented in different forms (fractions, decimals, scientific notation, logarithms) to reveal different structural properties.

Key Concept: Logic

Applying deductive reasoning through set operations, exponential laws, and exact numerical representations (surds and radicals).

Real-World Context

Financial decision making, exponential growth in biological systems, radioactive decay, and logarithmic scales (pH, Richter, decibels).

FAQs

Frequently Asked Questions

What is the focus of the MYP Number branch?
The Number branch focuses on numerical operational fluency, exact representations (surds/radicals), scaling, index laws, exponential relationships, and logical grouping through set theory.
How does MYP Number transition to DP Mathematics?
MYP exponents, logarithms, and geometric series prepare students for DP AA functions, calculus, and financial mathematics.
Are calculators permitted for all MYP Number topics?
MYP assessments feature both non-calculator (testing exact surd simplification, index laws, and mental estimation) and GDC (Graphic Display Calculator) papers for financial growth and logarithmic modeling.