Year 12 IB HL Analysis and Approach
Prior Knowledge
1.1 Operations with numbers in standard form
1.5 Laws of exponents with integer and rational exponents
1.6 Approximation, bounds of rounded numbers, percentage error, estimation
2.1 Different forms of the equation of a straight line, including parallel and perpendicular lines
3.1 Volume and surface area of 3D solids. 3D trigonometry.
4.2 Presentation of data: frequency tables, histograms, cumulative frequency graphs
5.3, 5.5 Differentiation and integration of integer powers of x (additional maths)
Teacher 1Year 12 Autumn Term  First Half2.2 Concept of a function, domain, range and graph. Function notation. The concept of a function as a mathematical model. Informal concept that an inverse function reverses the effect of a function. Inverse function as a reflection in the line y=x and the notation f1(x) (students should be aware that inverse functions exist for 11 functions and not many1). (4.1)
2.7 Inverse function including domain restriction. Finding an inverse function. Composite functions in context. (4.3) 2.3 graph sketching with & without GDC 2.4 asymptotes, graphical solution of equations 2.5 linear, quadratic, cubic, exponential models 2.5 Direct/inverse variation 2.6 modelling skills Test on sequences, series, functions and trigonometry Year 12 Autumn Term  Second HalfSMC
2.8 Transformations of graphs 1.10 Simplifying expressions, both numerically and algebraically 2.9 Natural logarithm, logistic and piecewise models 2.10 Scaling numbers using logarithms, linearizing data and interpretation of loglog and semilog graphs 3.6 Voronoi diagrams Test on everything so far, review test and splitting of groups as Year 12 Spring Term  First Half1.12, 1.13 Definition of complex numbers; the terms real part, imaginary part, conjugate, modulus and argument.

Teacher 2Year 12 Autumn Term  First Half1.2, 1.3, 1.11 Arithmetic sequences and series. Use of the formula for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for sums of arithmetic sequence. Applications. Analysis, interpretation and prediction where a model is not perfectly arithmetic in real life. (4.4)
Geometric sequences and series. Use of the formula for the nth term and the sum of the first n terms of the sequence. Use of sigma notation for the sums of geometric sequences. Applications. The sum of infinite geometric series. (7.1) 1.4, 1.7 Financial applications (compound interest, annual depreciation). Amortization and annuities using technology. (7.2) 1.8 Using technology for solving polynomial equations and systems of linear equations 3.4, 3.7 Radians, arc length and sector area 3.8 Definition of cos, sin and tan in terms of unit circle, trig identities and solving trig equations using graphs. 3.2, 3.3 Reminder of cosine, sine rules and area of triangle formula 1.5 Logarithms with base 10 and e, 1.9 Laws of logarithms 2.5, 2.9 Sinusoidal models Year 12 Autumn Term  Second HalfMicroexploration

Year 12 Summer Term  First HalfInternal Exams

Year 12 Summer Term  First HalfInternal Exams
