Core concept 6.1
126.96.36.199* Understand that a pair of parallel lines traversed by a straight line produces sets of equal and supplementary angles
188.8.131.52* Know and understand proofs that in a triangle, the sum of interior angles is 180 degrees
184.108.40.206 Know and understand proofs for finding the interior and exterior angle of any regular polygon
220.127.116.11 Solve problems that require use of a combination of angle facts to identify values of missing angles, providing explanations of reasoning and logic used
18.104.22.168 Understand that a pair of parallel lines traversed by a straight line produces sets of equal and supplementary angles
●Recognise that two intersecting lines create two pairs of equal and opposite angles.
●Recognise that adding another line parallel to the original creates a further two pairs of equal and opposite angles that are identical to the original four.
●Identify angles in more complex diagrams.
Desmos Activities on Parallel Lines
22.214.171.124 Recognise that similar shapes have sides in proportion to each other but angle sizes are preserved
126.96.36.199 Recognise that for congruent shapes both side lengths and angle sizes are preserved
188.8.131.52 Understand and use the criteria by which triangles are congruent
184.108.40.206 Recognise rotational symmetry in shapes
220.127.116.11 Be aware that there is a relationship between the lengths of the sides of a right-angled triangle
18.104.22.168* Use and apply Pythagoras' theorem to solve problems in a range of contexts
22.214.171.124 Use and apply Pythagoras’ theorem to solve problems in a range of contexts
●Identify when Pythagoras’ theorem can be applied.
●Solve problems using Pythagoras’ theorem to calculate lengths.
●Solve problems using Pythagoras’ theorem to make statements about angles.