Pythagoras' Theorem

No fly zones (national and international policing)

Synopsis

This lesson uses case studies of various national and international restricted flying and no-fly zones including the Falklands and Birmingham Airport to support students' applied study of Pythagoras' Theorem. Provided with contextual information concerning the reasons for no-fly zones, and the role of the MOD in patrolling these, students map various no-fly zones and apply their knowledge of Pythagoras' Theorem to the scenarios. Each exercise is supported by corresponding visual stimuli. Problems are multi-step activities.

MOD Topic

No fly zones (national and international policing)

Curriculum Checklist

2h.

Curriculum Links

• Geography
• ICT
• Citizenship
• English

Prior Knowledge

Understanding and application of Pythagoras' Theorem.
Familiarity with co-ordinates.
Familiarity with multi-stage problem solving.

Learning Outcomes

Lower ability students will:

• Be able to follow simple multi-stage problem solving activities and subsequently outline what has happened.
• Be able to apply Pythagoras' Theorem to a shape and answer questions about the length of sides of a triangle.
• Understand that the Armed Forces can use Pythagoras Theorem for basic navigational exercises on sea, land and in the air.

Average ability students will:

• Be confident in their application of Pythagoras' Theorem to make observations about specific shapes (length, angle and area of a shape).
• With assistance, be able to split a larger shape into its component geometric parts.
• Be able to solve multi-stage problems.
• Be able to use relevant vocabulary confidently.
• Understand that the Armed Forces can use Pythagoras Theorem for basic navigational exercises on sea, land and in the air.

Higher ability students will:

• Be able to follow simple multi-stage problem solving activities and subsequently outline what has happened.
• Be able to apply their understanding of Pythagoras' Theorem in conjunction with trigonometric formulae to make observations about specific shapes.
• Apply Pythagoras' theorem to accurately calculate a third side in a right-angled triangle and find the length of a line joining two points on a graph.
• Use Pythagoras' Theorem to solve problems in three dimensions.
• Understand that the Armed Forces can use Pythagoras Theorem for basic navigational exercises on sea, land and in the air.

Lesson code

M6