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Syllabus • Maths 4



               Geometry

              •  Recognise and describe the attributes of 2D shapes, including   •  Make nets of common 3D shapes.
               a range of quadrilaterals as well as some new 2D shapes, e.g.   •  Identify or give examples of shapes and symmetry found in the
               heptagon.                                           environment and in art.
              •  Recognise and describe the attributes of 3D shapes, e.g.   •  Recognise and describe the position of a square on a grid of
               tetrahedron.                                        squares using numbers and/or letters to indicate rows and
              •  Create polygons on a geoboard and record drawings of these   columns.
               shapes on a dot grid.                              •  Recognise the unit for measuring angles as the degree and use the
              •  Sort polygons, including quadrilaterals, into regular or not,   appropriate notation (°).
               symmetrical or not as well as according to di ferent features such   •  Recognise that a whole turn is 360° or four right angles.
               as the number of right angles.                     •  Compare and order angles smaller than 180°.
              •  Recognise and draw the line(s) of symmetry in 2D shapes and   •  Suggest a path to follow on a grid of squares giving directions.
               patterns.                                          •  Follow a set of directions to draw a path on a grid of squares.
              •  Identify 3D shapes given a net or a 2D drawing.


               Measurement

              •  Estimate, measure and record length, mass, capacity and volume   •  Refer to everyday activities using a.m. and p.m. notation and a
               measurements using metric units and appropriate notation (km, m,   12-hour digital clock.
               cm, mm, kg, g, l, ml).                             •  Use and extract information from timetables and calendars.
              •  Recognise the relationships between the di ferent units of length,   •  Calculate time intervals choosing appropriate units.
               mass and capacity or volume and begin to make conversions   •  Draw a rectangle and measure the length of its sides to  ind its
               between the units.                                  perimeter.
              •  Interpret ‘kilo’, ‘centi’ and ‘milli’ in the context of measurement.  •  Calculate the perimeter of a rectangle.
              •  Record measurements in decimal form.             •  Perceive that we use square units, e.g. cm , to measure area.
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              •  Read and record measurements precisely, interpreting the   •  Measure the area of a rectilinear shape by counting squares on a
               intervals between divisions on scales that are partially numbered.  grid.
              •  Use an analogue or a 12-hour digital clock to read and tell the time
               to the nearest minute.


               Data

              •  Organise, present and explicate data in pictograms where each   •  Consider the consequences of changing the intervals on scales
               picture represents more than one unit, e.g. 2, 5, 10 or 20 units to   used in a representation.
               answer questions.                                  •  Sort data and objects according to two or three criteria using Venn
              •  Organise, present and explicate data in bar charts where an axis   or Carroll diagrams.
               is marked in di ferent intervals, e.g. twos,  ives, tens or twenties to   •  Identify and apply e  icient strategies (mental or written) to
               answer questions.                                   perform additions or subtractions.
              •  Organise, present and explicate data in tables, tally charts and   •  Comprehend systems of measurement in length, mass, capacity,
               frequency tables to answer questions.               volume and time and apply in context.
              •  Collect the data needed to answer questions.


               Problem Solving

              •  Solve word problems in the context of measurement.  •  Justify the strategy or the method chosen to solve a problem.
              •  Solve one- or multi-step word problems choosing from all four   •  Investigate and work on number problems and puzzles that
               operations.                                         involve logical reasoning.
              •  Check the result of an addition by changing the order of numbers,   •  Solve problems methodically by organising information in lists and
               applying a di ferent strategy, or using subtraction.  tables.
              •  Check the result of a subtraction by adding the result of the   •  Identify and extend number sequences.
               subtraction to the subtracted number.              •  Identify the relationship between numbers in a sequence and
              •  Check the result of a multiplication by using an alternative strategy   describe the rule for generating the next number in the sequence.
               to perform the same multiplication.                •  Make true statements to describe how shapes relate to each other,
              •  Check the result of a division by performing multiplication.  e.g. these polygons are all quadrilaterals because...
              •  Find out how 2D shapes relate to each other, e.g. a rectangle is a   •  Find out how numbers relate to each other in a pattern.
               parallelogram.                                     •  Decide whether a statement is always true, sometimes true or
              •  Find similarities and di ferences among 3D shapes.  never true providing examples or counterexamples, e.g. the
              •  Use approximation and estimation before calculating, then check   di ference between an odd and an even number is always an odd
               results.                                            number.
              •  Narrate a number story corresponding to a calculation in various   •  Make conjectures and test them to verify or reject.
               contexts (e.g. money, measurement).                •  Explain the methods used and provide adequate justi ication to
              •  Justify the strategy chosen to work out a calculation.  support reasoning (orally and in written form).
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