S5 is the culmination of the MYP Mathematics journey, though this leads into further mathematical study at IB level. The grouping is the same as in S4, with three groups: the Extended group will study for and sit the Extended eAssessment in preparation for AAHL at IB; the Standard Plus group will study the Standard course with some elements of the Extended course to prepare them better for AASL at IB or A-Level maths, but they will sit the Standard eAssessment; the Standard group will study for and sit the Standard eAssessment, but the teacher might teach some further bits if they think it is appropriate.
In S5, students will learn more techniques to work with probabilities, such as tree diagrams and Venn diagrams. They will develop their understanding of the coordinate plane by looking at inequalities and how they can map regions. Investigating patterns is a key mathematical skill, and S5 students will spend time studying different types of sequences that can appear. They will increase their understanding of analysing data, and look at how to work with bivariate data to make predictions. Whilst students will have encountered a number of functions before, they will study the formal definitions of functions, and learn to work with general functions as well as some very common types of function. There will be a little bit of geometry study in the form of transformations and circle theorems, before finishing the course with studying algorithms and how they run the world around us.
S5 students will also have time to practice working with eAssessments, and will develop the specific skills to answer the types of questions that appear in the eAssessment.
As the culmination of MYP Mathematics, S5 students will develop the skills of a mathematician, which are built upon the vast knowledge bank they will have developed over the prior four years.
In this unit students will learn about:
Experimental Probability and Relative Frequency
Theoretical Probability and equally likely outcomes
Samples Spaces
Using Venn Diagrams
Using Tree Diagrams
Conditional Probability (Extended Only)
In this unit students will learn about:
Sampling methods and collecting data
Processing data by finding averages, quartiles, range and interquartile range from data given in lists and in tables
Standard deviation (Extended Only)
Cumulative frequency graphs
Box plots
Frequency histograms
Scatter graphs
Informal definitions of correlation
Pearson's Correlation Coefficient (Extended Only)
Lines of best fit
In this unit students will learn about:
The different forms of a quadratic function
Modelling real world scenarios using quadratic functions
Solving pairs of simultaneous equations involving quadratics (Extended Only)
In this unit students will learn about:
What functions are
Graphing functions
Composite functions
Inverse functions
Domain and range
Reciprocal functions
Exponential functions
Trigonometric functions
Circles (Extended Only)
Transforming functions (Extended Only)