Page 17 - IPMaths_leaflet

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Syllabus • Maths 6
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• Describe the position of a point in any of the four quadrants using • Calculate the size of one unknown angle in a triangle.
coordinates. • Calculate the size of one unknown angle in a set of angles about a
• Practise plotting coordinates in any of the four quadrants to show point.
the position of a point on a grid. • Determine the position of a polygon after one re lection in a mirror
• Identify whether an angle is acute or obtuse and measure angles line, when the line is not parallel or perpendicular to any side of the
within 1°, using a protractor. shape and draw the re lected shape on a grid.
• Draw acute and obtuse angles within 1°, using a protractor. • Determine the position of a polygon after one translation and draw
• Deduce that the sum of the angles in a triangle is 180° using a the translated shape on a grid.
variety of methods, e.g. measure angles with a protractor or use • Determine the position of a polygon after rotating the shape 90°,
paper folding. about one of its vertices in a clockwise or anti-clockwise direction
and draw the rotated shape on a grid.
Measurement
• Record measurements using standard metric or imperial units. • Find the time interval, between two dates, in days, weeks and/or
• Convert measurements (including decimals with up to three months using a calendar.
decimal places) from one unit to another. • Find the time interval between two dates, in days, months or years
• Read and interpret any marking on scales with di ferent divisions, using knowledge of leap years.
on a variety of instruments used for measurement, e.g. rulers, • Find the time interval between two times on 24-hour digital clocks
scales, jugs. and analogue clocks in hours and minutes.
• Draw and measure a line precisely to the nearest centimetre or • Realise that there are time di ferences between places around the
millimetre. world and that the regions in the same time zone have a common
• Recognise and use imperial units, contemporarily used and time.
approximately convert these to the corresponding metric units, • Apply the knowledge of time zones to ind time intervals and solve
e.g. miles to metres or kilometres. time problems.
• Know the units of time, including decades and centuries and the • Measure and calculate the perimeter of rectilinear shapes.
relationships between them. • Calculate the perimeter of composite shapes that can be divided
• Convert between the di ferent time units. into rectangles.
• Read and tell time on an analogue clock (12-hour) and a digital • Calculate the area of rectilinear shapes using a formula.
clock (12-hour and 24-hour). • Solve problems in the contexts of area and perimeter, e.g. calculate
• Compare 24-hour digital times and analogue times, e.g. 17:50 and the length of a rectangle, given its width and area.
twenty to six in the afternoon. • Count the squares and half squares that form an irregular shape,
• Use and extract information from timetables using the 24-hour clock. including a parallelogram, to approximate area.

Data

• Extract and interpret information found in graphs, e.g. line graphs drawing a bar chart to present data from a pie chart.
and tables, including a ready reckoner, to answer a set of questions • Come up with conclusions based on data represented on line
and solve a problem. graphs, bar charts and pie charts.
• Extract and interpret information found in pie charts to answer a • Identify the mode and range of a set of data drawing upon the
set of questions and solve a problem. results of a scienti ic experiment or a survey.
• Realise that a ready reckoner is a table used to convert between • Begin to calculate the median and the mean of a set of data and
units, e.g. cups to millilitres. interpret.
• Use a ready reckoner to convert between currencies. • Investigate the ways statistics are applied in everyday life.
• Draw line graphs and bar charts or convert from one form to the • Discuss the likelihood of an event using probability vocabulary.
other to present data in a convenient way. • Investigate the probability in a range of events, including events
• Compare a bar chart to a pie chart and convert between them by that have an even chance of occurring.

Problem Solving

• Identify and apply e icient strategies (mental or written) to • Explore cross sections of known 3D shapes after parallel cuts
perform all four operations. through one of the faces, e.g. a cylinder has a circular cross-section.
• Comprehend systems of measurement for length, mass, capacity, • Use approximation and estimation before calculating, e.g. use
volume, time and temperature and apply in context. rounding, then check results.
• Perform calculations in the context of measurement. • Justify the strategy chosen to work out a calculation and share
• Solve word problems in the context of measurement. working in class.
• Solve one- or multi-step word problems choosing from all four • Apply logical reasoning to investigate and work on number
operations. problems and mathematical puzzles.
• Use a diagram or a number line to display the problem and its • Derive new data from the existing data to draw new conclusions
solution. and realise the interaction between di ferent pieces of information.
• Use brackets to show the order of operations necessary to solve a • Solve problems methodically by organising information in lists and
problem. tables.
• Apply knowledge of ratio and direct proportion to solve simple • Find out how numbers relate to each other and come up with
word problems. generalisations.
• Apply knowledge of percentages to solve simple word problems. • Use words, then symbols or letters to denote generalisations, e.g.
• Check the result of an addition by changing the order of numbers every odd number is twice a number plus 1 (2n + 1).
when adding several numbers (whole numbers or decimals). • Make conjectures, test them and make re inements, provide
• Check the result of a subtraction by applying the inverse operation. adequate justi ication to support methods and strategies,
• Identify 2D and 3D shapes and ind out how these shapes relate to reasoning and conclusions.
each other.
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