IB MYP Maths Extended Mind maps
The whole subtopic on one page, to see how the ideas connect.
Number15 subtopics
- Number systems and sets of numbers
- Fractions, decimals, percentages and ratio
- Direct and inverse proportion
- Rates, speed, distance and time
- Approximation, rounding and estimation
- Absolute value and inequalities on the number line
- Laws of exponents
- Standard form
- Fractional exponents
- Logarithms
- Upper and lower bounds
- Surds, roots and irrational numbers
- Rationalising denominators
- Number sequences and patterns
- Arithmetic and geometric sequences
Algebra9 subtopics
- Algebraic expressions and substitution
- Factorising expressions
- Factorising quadratics with leading coefficient not 1
- Solving linear equations and inequalities
- Forming equations from context
- Rearranging formulae
- Solving quadratic equations
- Simultaneous equations
- Quadratic and non-linear simultaneous equations
Functions and graphs15 subtopics
- Relations, mappings and function notation
- Domain and range
- Linear functions and graphs
- Parallel and perpendicular lines
- Midpoint and distance between two points
- Quadratic functions and their graphs
- Solving systems of equations graphically
- Transformations of functions
- Rational and reciprocal functions
- Exponential functions
- Cubic and polynomial graphs
- Real-life graphs
- Algorithms and flowcharts
- Linear programming
- Networks and graphs
Geometry13 subtopics
- Angles, parallel lines and polygons
- Perimeter and area
- Surface area and volume of 3D solids
- Pythagoras theorem
- Converse of Pythagoras theorem
- Similarity and congruence
- Transformations
- Enlargement by rational scale factors
- Symmetry and tessellation
- Circle theorems and constructions
- Coordinate geometry and describing movement
- Vectors and translation vectors
- Matrices