Unit 2

MYP subject group objective(s)

• A: Knowing and understanding

  • i. select appropriate mathematics when solving problems in both familiar and unfamiliar situations

  • ii. apply the selected mathematics successfully when solving problems

  • iii. solve problems correctly in a variety of contexts

Skills

• Geometry:

• Angles with parallel lines

• Angles in polygons

• Constructions of angle bisectors, perpendicular bisector, circumcircle etc.

• Practical examples leading to constructions including more complex loci problems

• Constructions of triangles (SAS, SSS, RHS, SSA leading to the ambiguous case)

• Trigonometry:

• Finding unknown sides using Pythagoras' theorem

• Conditions of similarity and congruence

• Finding unknown sides using similar triangles

• Derivation of trigonometric ratios using similar triangles

• Right angled trigonometry in 2 dimensions

• Distance between points, midpoints and angles between lines on the coordinate grid

• Angles of elevation and depression, bearings

• Transformations:

• Reflection given equation of line

• Finding line of reflection given object and image

• Rotation given centre of rotation and angle

• Finding centre of rotation given object and image

• Positive whole number enlargements

• Translations

• Area and volume:

• Area of rectilinear shapes and circles

• Volume of prisms, spheres, cones, pyramids and further standard solids

• Density

• Dimensions - understanding which formulae lead to length, area and volume

• Extension (set 1-2): Right angled trigonometry in 3 dimensions and the 3 dimensional coordinate grid Sine and cosine rule and sine rule for area of triangle Proof of similarity and congruence Negative and fractional enlargement If time allows. Set 1: Trigonometric graphs, period, amplitude Trigonometric equations, the Unit Circle Radian Measurement, Length of Arc and Area of Sector