The complete MYP 4 and MYP 5 Extended Mathematics course, mapped unit by unit with a note written for every topic, from number theory to vectors, matrices and introductory calculus.
Year one
Number Theory · Algebra · Coordinate Geometry · Trigonometry · Statistics
Real, rational, irrational, integer and natural numbers.
Read→ 1.2Simplifying, expanding and rationalising radical expressions.
Read→ 1.3Negative, fractional and zero indices.
Read→ 1.4Calculating and solving problems in standard form.
Read→ 1.5Modulus notation and basic absolute-value equations.
Read→ 1.6Universal set, subsets, intersection, union and complement.
Read→Grouping, cross-multiplication and difference of two squares.
Read→ 2.2Simplifying and operating on rational expressions.
Read→ 2.3Multi-step inequalities and number-line solutions.
Read→ 2.4Substitution, elimination and graphing.
Read→ 2.5Direct and inverse variation and the constant k.
Read→Midpoint, distance formula and gradient between two points.
Read→ 3.2Line equations using gradient relationships.
Read→ 3.3Triangle proofs and scale factors.
Read→ 3.4Perimeter, surface area and volume of compound shapes, prisms and cylinders.
Read→Year two · Exam & eAssessment
Quadratics · Functions & Logarithms · Trigonometry · Vectors & Matrices · Sequences & Calculus
Factoring, completing the square and the quadratic formula.
Read→ 1.2Classifying roots with b² - 4ac.
Read→ 1.3Parabolas, vertex form, axis of symmetry and intercepts.
Read→ 1.4Where a straight line meets a quadratic curve.
Read→ 1.5Algebraic long division and the remainder and factor theorems.
Read→Domain, range, mapping and function notation.
Read→ 2.2Finding f(g(x)) and the inverse function.
Read→ 2.3Translations, reflections and stretches of y = f(x).
Read→ 2.4Cubic, exponential and rational graphs and asymptotes.
Read→ 2.5Log laws, changing base and solving log equations.
Read→Exact trigonometric values across all four quadrants.
Read→ 3.2The sine rule, cosine rule and area formula.
Read→ 3.3Amplitude, period and phase shift.
Read→ 3.4Using tan = sin/cos and the Pythagorean identity.
Read→ 3.5Cyclic quadrilaterals, alternate segment and tangent-radius.
Read→ 3.6Pythagoras and trig in pyramids, cones and spheres.
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