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Gcseaqa mod5revision Gcseaqa mod5revision Presentation Transcript

  • AQA Module 5 Revision Support Caroline Johnson Bristol LA Mathematics Consultant Based on an original by Steve Alexis (AST at Brislington Enterprise College)
  • Exam Questions – collecting marks
    • It’s all about getting every possible mark
    • Remember to:
      • record every step in your working
      • not cross anything out
      • check the sense of your answers
      • be aware of the number of marks available
      • use the correct terminology
      • take note of specific instructions – include units; give your answer to 2 dp
  • And so…
    • The next few slides will re-visit some key points.
  • Rounding
    • When rounding to a given number of decimal places count each place after the decimal point
    • When rounding to a given number of significant figures , begin counting from the first non-zero digit.
    • E.g. 27.35
    • Correct to 1 decimal place is 27.4
    • Correct to 1 significant figure is 30
  • Sensible answers
    • If a question says..
    • ‘ Give your answer to a sensible degree of accuracy ’
    • you need to write the answer no more accurately than the values in the question.
    • E.g. If a question has values to 2 s.f. then give the answer to 2 s.f. or 1.s.f
  • Algebra –what it means!
    • Simplify – collect terms together
      • E.g. 2a + 3b + 4a – 5b = 6a – 2b
    • Factorise – take out a common factor
      • E.g. factorise 4x 2 + 6x = 2x(2x + 3)
    • Expand - multiply out the brackets
      • E.g. 7(p – 4q) = 7p – 28q
  • Algebra – what it means (2)
    • Expand and simplify – multiply out the brackets and then collect terms
      • E.g. 2(p + 5q) + 7(p - 4q)
      • = 2p + 10q +7p – 28q
      • = 9p – 18q
    • Solve – find the exact value of [x] that makes the equation true.
      • E.g. 4(2x – 3) = 20
      • 8x – 12 = 20
      • 8x = 32
      • x = 4
  • Algebra tips.
    • If question says ‘do not use trial and improvement’, then an algebraic method is expected. Any sign of trial and improvement will be penalised.
    • This is particularly true for solving simultaneous equations .
  • Drawing graphs
    • Draw all graphs in pencil.
    • Make sure you plot points neatly with a small cross.
    • If the graph has an equation with an x 2 term in it then it will be ‘U’ shaped or ‘ ∩ ’ shaped.
    • E.g. x 2 – 3x – 5
    • If it is not a smooth curve check that you have worked out your values correctly and/or that they are plotted accurately.
  • Straight line graphs
    • If asked to draw the graph of y = 2x+ 3 there are 2 methods you could use.
    • (i) draw up a table of values to plot 3 points (why a minimum of 3?).
    • You can choose the values of x, but keep
    • them simple e.g. 0, 2 and 4
    • (ii) use the gradient and intercept method
  • Perimeter, Area and Volume
    • Perimeter measures length, so your answer should be in km, m, cm or mm
    • Area units are squared e.g. m 2
    • Volume is measured in cubic units e.g. cm 3
    • Remember that there are two formulae in the front of the paper. These help you to find the area of a trapezium and the volume of a prism .
    • USE THEM IF YOU NEED THEM.
  • Some useful area formulae
    • Area of a rectangle = length x width
    • Area of a parallelogram = base x height
    • Area of a triangle = base x height
    • Area of a circle = π r 2
    • Remember
    • Circumference of a circle = π d or 2 π r
    • Use the π button on your calculator.
  • Don’t measure it!
    • If a diagram says :
    • ‘ Not to scale’ or ‘not drawn accurately’
    • to work out the answer you will need to do some calculation(s).
    • You do not measure lengths
  • Angle properties
    • Know your angle facts!
    • There are 360 ° in a full turn
    • The sum of the angles at a point on a straight line is 180 °
    • The sum of the angles in a triangle is 180°
    • The sum of the angles in a quadrilateral is 360 °
  • Angles Between Parallel lines Parallel lines remain the same distance apart. Transversal Vertically opposite angles are equal. vert.opp.  s Corresponding angles are equal. corr.  s Alternate angles are equal. alt.  s Interior angles sum to 180 o .(Supplementary) Int.  s
  • Bearings
    • Remember that bearings are:
    • measured from the NORTH
    • in a clockwise direction
    • written with 3 figures e.g. 060 °
  • Transformations A centre and scale factor (which can be a fraction) Enlargement A vector e.g. Translation A centre, an angle (90 °, 180°, 270°) and a direction Rotation A line of reflection Reflection Properties Transformation
  • Pythagoras
    • Is used for finding lengths in right-angled triangles
    a 2 = b 2 + c 2 b c a In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Hypotenuse
  • Remember The Trigonometric Ratios A B C hypotenuse opposite A B C hypotenuse opposite adjacent adjacent S O C H A H T O A
  • In the exam
    • Read the whole paper
    • Highlight important points (but don’t use a highlighter pen on your answers)
    • Do the questions that you find easy first
    • Be aware of the number of marks per question or part of a question
    • Remember units, rounding
    • Check your answers thoroughly at the end
  • ..and finally
    • Good luck !