Topic 6 Year 9 Mathematics
|No of lessons||4|
|When is it happening||Term 2|
|What will students learn||
Understand angle theorems are used to calculate angles without the need to measure.
Be able to calculate angles using multiple angle theorems.
Experience justifying deductions using a chain of reasoning.
|Key Knowledge that students should know at the end of 'Topic'||This is the knowledge that students will meet for the first time in this topic||Angles are revisited and defined as a measure of turn. Rays are used to emphasise the irrelevance of the length of the ‘sides’ to the size of the angle. Formal notation and congruence are introduced. Angles at a point, on a line, vertically opposite and parallel line angle theorems are revisited today. Students practise identifying congruent angles and justifying their deductions Revisiting the triangle angle sum and isosceles triangle properties, students start to put strings of reasoning together to calculate angles, continuing to justify their deductions. Angles in polygons are revisited and students are challenged to put all their angle theorem knowledge together to deduce angle sizes in longer chains of reasoning.|
|This is knowledge that students may have met before but will need to deepen their understanding|
|Key Skills that students should be able to demonstrate at the end of 'Topic'||This is the skills that students will meet for the first time in this topic||Using a protractor|
|This is skills that students may have met before but will need to develop||Basic angle rules|
|Key vocabulary that students should know and understand|
|The Big Question||Can you use different angle facts to calculate missing angles?|
Key questions that students should be able to answer at the end of the 'Topic'
|Can you identify whether an angle is acute, obtuse or reflex?|
|Can you identify pairs of vertically opposite, corresponding and alternate angles?|
|Can you use multiple angle theorems to calculate angles?|
|Can you calculate the interior and exterior angles of a regular polygon?|