Monthly Archives: December 2016

Higher Maths: New Year update

Higher Maths: New Year update

Higher Maths Update

  • So far, as well as going over the primary school maths and making sure we’ve got that fully mastered, we’ve been doing…

Algebra:

  • collecting like terms e.g. 2a + 3a – 4b + 3a + 7 + 5b – a = 7a +b + 7
  • nth term, e.g. in the sequence 3,7,11, 15,19,23, the nth term = 4n-1
  • Multiplication with algebra i.e. expanding brackets
  • E.g. 2(3b + 4) = 6b + 8
expanding-brackets-1
  • solving equations e.g. What is x if 3x + 1 = 2x + 5

Angles

  • angles on a straight line sum to 180 degrees (supplementary angles)
supplementary_and_complementary_angles_image1
  • angles around a point sum to 360 degrees
5988053_f260
  • F angles (corresponding angles)
corresponding_angles
  • Z angles (alternate angles)
ala_z_pattern2_350
  • using compasses to draw perpendicular bisectors
perp_bi1
  • using compasses to bisect angles
350px-Construction_of_bisection.svg
  • and
  • using compasses relating to loci

2d shapes

Areas and circumferences of circles, areas of triangles, trapeziums etc

Circle-formuasl-

area-of-triangle

main-qimg-4f61580e0d67d385a5dfbeaead952fce

Still to come…

  • Varieties of graphs and charts,
  • probability,
  • indices and standard form
  • enlargements with scale factors
  • volumes of 3d shapes
  • plan views/ front & side elevations etc
  • and lots of playing around with Maths already learned, applying the skills in different contexts
 It certainly looks like a happy new year is ahead!