SATs revision by hn6D35bR

VIEWS: 15 PAGES: 3

									                                        Key Stage 3 Mathematics: Revision Topics
Topic                                      Level 6                                      Level 7                                      Level 8
Number: Calculations and  Ratio                                         Understand effect of multiplying/           Standard form.
number work.                                                              dividing by numbers between 0 and 1.        Calculating powers and roots of
                                                                         Know that the reciprocal of 5 is 1/5.        numbers.
                                                                         Draw factor trees to write a number as a
                                                                          product of prime numbers.
                                                                         Efficient use of calculator to work out
                                                                              45.05  5.67
                                                                          eg                 .
                                                                              (9.8  12.3) 2
                                                                         Solving number problems.
                                                                         Estimating answers to calculations by
                                                                          rounding to 1 sig. fig.
Number: Fractions,          Find one number as a percentage of          Know that you can increase a number         Use fractions, decimals and negative
decimals and percentages     another (e.g. 45 out of 80 students are      by 8% by multiplying it by 1.08.             numbers in calculations.
                             girls. What percentage is this?)            Know that you can decrease a number
                            Add and subtract fractions by finding        by 12% by multiplying it by 0.88.
                             common denominator.
                            Converting between fractions, decimals
                             and percentages.
                            Ordering decimals (e.g. know that
                             0.318 is smaller than 0.32)
Algebra: Equations          Solve equations like 7n  2  5n  14 .     Solving simultaneous equations.             Harder equations involving brackets,
                                                                         Solve simple inequalities like               fractions. Equations with negative and
                                                                        2n + 1 < 9. Representing inequalities on a     fractional solutions.
                                                                        number line.
Algebra: Graphs             Draw graphs, e.g. y = 2x + 3, by            Solving simultaneous equations by           Understand that a straight line graph
                             drawing a table of values.                    looking to see where graphs cross over.     has equation y  mx  c . Know what
                                                                                                                       m and c represent.
                                                                                                                      Draw graphs like y  x 2  2 or y =
                                                                                                                       12/x by producing tables of values.
                                                                                                                      Interpreting graphs that represent real-
                                                                                                                       life situations (e.g. travel graphs or
                                                                                                                       filling containers).
Algebra: Formulae and       Finding the formula for the nth term of     Finding rules for more complicated          Multiply out brackets like
expressions                  a linear sequence (eg the nth term of 4,     sequences.                                    (2 x  1)(3x  2) .
                             7, 10, 13 is 3n + 1)                        Multiply out brackets like
                                                                                                                      Factorising quadratics, eg x 2  7 x  12
                                                                          ( x  2)(x  3) .
                                                                                                                       factorises as ( x  3)(x  4) .
                                                                       Factorise expressions like 6 x 2  8 x to    Simplifying indices, like y 9  y 3 , or
                                                                        get 2 x(3x  4) .
                                                                                                                       3c 4  5c 2
                                                                                                                     Rearranging equations (i.e. changing
                                                                                                                      the subject of a formula).

Shape and Space: Angles    Draw 3D objects on triangular dotty        Calculating the length of sides in right-    Calculating angles in right-angled
and shapes                  paper. Draw plans and elevations of 3D      angled triangles using Pythagoras’            triangles using trigonometry.
                            shapes                                      theorem.                                     Recognise similar shapes (i.e. when one
                           Know names and properties of               Locus.                                        shape is an enlargement of another).
                            quadrilaterals.                            Finding the angles in pentagons,             Recognise congruent shapes (i.e. where
                           Angles and parallel lines (alternate,       hexagons and other polygons. Interior         2 shapes have exactly the same shape
                            corresponding and vertically opposite       and exterior angles.                          and size).
                            angles)
Shape and space: Area      Area of a triangle.                        Area of trapeziums and parallelograms.
and volume                 Finding area and circumference of a        Harder area problems involving circles.
                            circle.                                    Volume of a prism.
                           Volume of a cuboid.
Shape and space:           Enlarge a shape scale factor 2 or 3.       Enlarge a shape scale factor ½ or scale
Transformations            Transforming shapes using translations,     factor 1/3.
                            reflections and rotations.
Shape and space:           Converting between cm2 and m2 or           Know that if a book weighs 12kg to the
Measurement                 between cm3 and m3.                         nearest kg, then the book could actually
                                                                        weigh between 11.5 and 12.5 kg.
                                                                                              distance
                                                                       Calculating speed as            .
                                                                                                time
Data handling: Averages    Finding the mean from a simple table,      Finding the mean from a grouped table        Finding the median from a cumulative
                             eg:                                        by finding the mid-point of each              frequency graph.
                           Mark        5     6     7      8             interval.
                           Frequency 2       12    13     7            Comparing two sets of data using
                                                                        averages and the range.
Data handling: Diagrams    Draw pie charts.                           Drawing a line of best fit on a scatter      Draw cumulative frequency curves.
and questionnaires         Drawing scatter graphs and understand       graph.                                       Draw box-and-whisker plots.
                            correlation                                Frequency polygons.
                           Criticise questionnaire questions.         Stem-and-leaf diagrams.
Data handling:             Listing the outcomes of experiments.       Estimating the probability of an event       Multiplying probabilities for
Probability                 Showing outcomes on probability             using an experiment (relative                 independent event – the AND rule.
                            diagrams.                                   frequency)
                           Adding probabilities of mutually
                            exclusive events – the OR rule.

								
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