Communicating
Objective 1
Objective 2
Objective 3
Objective 4
Discuss work, using mathematical language.
Represent work, using symbols and simple
diagrams.
Begin to organise work. Use and interpret
mathematical symbols and diagrams.
Begin to refine ways of recording and use
appropriate mathematical symbols correctly.
Present information and results in a clear and
organised way. Present solutions/findings in the
context of the problem/task.
Objective 5
Present and interpret solutions/findings in the
context of the problem/task. Begin to develop
correct and consistent use of notation, symbols
and diagrams.
Objective 6
Show understanding of situations by describing
them mathematically, making correct use of
symbols, words, diagrams, tables and graphs.
Objective 7
Choose and use correctly symbols, diagrams
and graphs. Present and interpret
solutions/findings in the context of the original
problem/task.
Objective 8
Interpret, discuss and synthesise information
presented in a variety of mathematical forms.
Begin to explain reasons for selection and use
of diagrams.
Represent problems and synthesise information
in algebraic, geometric or graphical form;
move from one form of presentation to another
to gain a different perspective on the
problem/task.
Examine critically, improve and justify the
choice of mathematical presentation,
explaining features selected.
Objective 9
Objective 10
Problem Solving
Reasoning
Try different approaches to solve a problem.
Explain why an answer is correct.
Try different approaches and find ways of
overcoming difficulties that arise when solving
problems
Use a range of strategies when solving
problems
Develop strategies for solving problems and
use these strategies both in working within
mathematics and in applying mathematics to
practical contexts.
Begin to structure an approach when exploring
a simple task or solving a problem. Generate
and check the necessary information.
Understand a general statement by finding
particular examples that match it.
Identify the necessary information to carry
through tasks and solve mathematical
problems. Check results and consider whether
they are sensible
Solve more complex problems by breaking
them into smaller steps or tasks, choosing and
using efficient techniques for calculation,
algebraic manipulation and graphical
representation, and resources, including ICT.
Solve substantial problems by breaking them
into simpler tasks, using a range of efficient
techniques, methods and resources, including
ICT.
Starting from given problems or contexts,
progressively refine or extend the mathematics
used to generate fuller solutions.
Solve increasingly demanding problems and
evaluate solutions; explore connections in
mathematics across a range of contexts:
number, algebra, shape, space and measures,
and handling data.
Try out ideas to find a pattern or solution.
Make general statements, based on evidence
produced, and explain reasoning.
Solve problems and investigate in a range of
contexts, explaining and justifying methods and
conclusions; begin to generalise and to
understand the significance of a counterexample.
Draw simple conclusions and explain
reasoning; suggest extensions to problems;
conjecture and generalise.
Use logical argument to establish the truth of a
statement; begin to give mathematical
justifications and test by checking particular
cases.
Present a concise reasoned argument, using
symbols, diagrams, graphs and related
explanatory texts.
Show some insight into mathematical structure
by using pattern and symmetry to justify
generalisations, arguments or solutions.
Appreciate the difference between
mathematical explanation and experimental
evidence