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Transcript
LevelUp 6-8 Unit 4 – What I know I know today, Maths Objective I understand from experience of constructing them that triangles given SSS, SAS, ASA or RHS are unique, but that triangles given SSA or AAA are not I can use straight edge and compasses to construct triangles, given right angle, hypotenuse and side (RHS) I can use straight edge and compasses to construct: The midpoint and perpendicular bisector of a line segment The bisector of an angle The perpendicular from a point to a line The perpendicular from a point on a line A triangle, given three sides I can find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT I can distinguish between conventions, definitions and derived properties I can use correctly the vocabulary, notation and labelling conventions for lines, angles and shapes I can distinguish between practical demo and proof in a geometrical context I can explain how to find, calculate and use: The sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons, and of regular polygons I can identify alternate and corresponding angles I understand a proof that: The angle sum of a triangle is 180 and of a quadrilateral is 360 The exterior angle of a triangle is equal to the sum of the two interior opposite angles I know that the tangent at any point on a circle is perpendicular to the radius at that point I can explain why the perpendicular from the centre to the chord bisects the chord I know the definition of a circle and the names of its parts; explain why inscribed regular polygons can be constructed by equal divisions of a circle I can investigate Pythagoras’ theorem, using a variety of media, through its historical and cultural roots, including ‘picture’ proofs I understand and can apply Pythagoras' theorem when solving problems in 2-D and simple problems in 3-D ? (date) My Evidence (or a reference to where it is!)