# SATs revision by hn6D35bR

VIEWS: 15 PAGES: 3

• pg 1
```									                                        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)