Mathematics

The programme of study appropriate for pupils Age 11 -14 is organized into apparently distinct domains, for pupils to build ... Show more

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To further equip pupils with mathematical knowledge at this level, the course will covers various section to:

Build Fluency

consolidate on pupils already existing knowledge of their numerical and mathematical capability from previous Years and extend their understanding of the number system and place value to include decimals, fractions, powers and roots
select and use calculation strategies to solve increasingly complex problems
use algebra to generalize the structure of arithmetic, including to formulate mathematical relationships
substitute values in expressions, rearrange and simplify expressions, and solve equations
move freely between different numerical, algebraic, graphical and diagrammatic representations (for example, equivalent fractions, fractions and decimals, and equations and graphs)
develop algebraic and graphical fluency, including understanding linear and simple quadratic functions
use language and properties precisely to analyze numbers, algebraic expressions, 2-D and 3-D shapes, probability and statistics.

Reason mathematically

extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations
extend and formalise their knowledge of ratio and proportion in working with measures and geometry, and in formulating proportional relations algebraically
identify variables and express relations between variables algebraically and graphically
make and test conjectures about patterns and relationships; look for proofs or counterexample
begin to reason deductively in geometry, number and algebra, including using geometrical constructions
interpret when the structure of a numerical problem requires additive, multiplicative or proportional reasoning
explore what can and cannot be inferred in statistical and probabilistic settings, and begin to express their arguments formally.

Solve problems

develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems
develop their use of formal mathematical knowledge to interpret and solve problems, including in financial mathematics
begin to model situations mathematically and express the results using a range of formal mathematical representations
select appropriate concepts, methods and techniques to apply to unfamiliar and nonroutine problems.

Numbers

Algebra

Ratio, proportion and rates of change

Geometry and measures

Probability

Statistics

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Course details

Duration 3 hours per session

Level School Year 7 - 9

Basic info

This course aims to ensure that all pupils:

become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
reason mathematically by following a line of enquiry, conjecturing relationships and generalizations, and developing an argument, justification or proof using mathematical language
can solve problems by applying their mathematics to a variety of routine and nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.

Intended audience

This course is primarily meant for pupils in their 7^th, 8^th and 9^th Year of studies typically between the age of 11 - 14.