Content area focus in the Senior Phase Content area
General focus
Numbers, Operations and
Relationships
Meaning of different kinds of numbers Relationships between different kinds of numbers Relative sizes of different numbers Representations of numbers in various ways Operations with numbers Estimation and checking solutions
Patterns, Functions and Algebra
Achieve efficient manipulation skills which will carry over into other domains of the subject
Describe patterns and relationships through the use of symbolic expressions, graphs and tables
Identify and analyse regularities and change in patterns
Make predictions and solve problems
Specific focus
Represent numbers in a variety of ways and move flexibly between representations Recognise and use properties of operations with different number systems Solve a variety of problems
Use an increased range of numbers and are able to perform multiple operations correctly and fluently
Investigate numerical and geometric patterns to establish the relationships between the variables
Express rules governing patterns in algebraic language or symbols Develop algebraic manipulative skills to recognise the equivalence between different representations of the same relationship Analyse situations in a variety of contexts Use different and equivalent representations: algebraic language, formulae, expressions, equations and graphs
Space and Shape
(Geometry)
Properties of shapes and objects Relationships between these properties Orientations, positions and transformations of two-dimensional shapes and three- dimensional objects
Draw and construct a wide range of geometric figures and solids using appropriate instruments Appreciate the use of constructions to investigate the properties of geometric figures and solids Develop clear and precise descriptions and classification categories of geometric figures and solids
Solve geometric problems drawing on known properties of geometric figures and solids
Measurement Select and use appropriate units, instruments and formulae Make sensible estimates Be aware of sensibleness and
reasonableness of measurement and results Data Handling
Ask questions and find answers in order to describe events and the social, technological and economic environment Collect, organise, represent, analyse, interpret and report data
Enabled to make informed predictions by the study of probability
Describe randomness and uncertainty
Use formulae for measuring area, perimeter, surface area and volume of geometric figures and solids
Select and convert between units of measurement Use the Theorem of Pythagoras to solve problems involving right-angled triangles
Pose questions for investigation Collecting, summarise and represent and critically analyse data Interpret, report and make predictions about situations
Better understand probability – include single and compound events and their relative frequency in simple experiments
Section 3: Teaching and learning for Mathematics
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