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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