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IB Studies - Trigonometry and Geometry
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Straight lines revisted
  • Equation of a striaght line y=mx +c.
  • Rearranging the equation of a straight line in the form ax+by+c=0.
  • Finding gradients and intercepts.
  • Intersecting lines, parallel and perpendicular lines.
 
Right-angled triangles
  • Pythagoras theorem and applications.
  • Distance between two points by use of coordinates and Pythagoras.
  • Finding missing sides and angles in a right-angled triangleusing SOHCAHTOA.
  • Understanding angle of elevation and depression and using them with SOHCAHTOA to solve problems in right angled triangles.
  • Writting 3 figure bearings and solving problems with SOHCAHTOA in right angled triangles.
 
Non right angled triangles
  • Finding 2 solutions of angles between 0 and 360 degrees.
  • Drawing cosine, sine, and tangent graphs.
  • The sine rule.
  • The cosine rule.
  • The area of a non-right angled triangle.
 
Geometry
  • Surface area and volume of 3-d shapes such as cuboid, prism, pyrmaid, cylinder, sphere, hemisphere, and cone.
  • Trigonometry withing certain 3-d shapes such as pyramids and right-angled prisms.
  • Length of lines, and mid-points of lines, and angles between lines.