Number work in MYP extends primary arithmetic into the realm of negative numbers, rational and irrational numbers, standard form, and algebraic approaches to ratio and proportion.
Rational numbers: any number expressible as p/q (integers, fractions, terminating/recurring decimals). Irrational numbers: cannot be written as a fraction — √2, π, e. Together they form the real numbers. Students explore the number line and classify numbers.
Index laws: aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1, a⁻ⁿ = 1/aⁿ. Standard form (scientific notation): a × 10ⁿ where 1 ≤ a < 10. Used for very large/small numbers: Earth–Sun distance ≈ 1.5 × 10⁸ km, hydrogen atom ≈ 1.2 × 10⁻¹⁰ m.
Ratio: compares quantities (3:5). Proportion: two equal ratios. Direct proportion: y = kx. Inverse proportion: y = k/x. Percentage: increase/decrease, profit/loss, simple interest, compound interest. Real-world: currency conversion, recipe scaling, map scales.
MYP Standard Maths covers all the framework topics but at a foundational level, suitable for students not planning to take IB DP HL Maths. MYP Extended Maths goes deeper — more complex algebra, trigonometry, and number theory — and is recommended preparation for DP Maths Analysis & Approaches (especially HL) or Applications & Interpretation HL.
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