| Module 5 Higher Set 4 Angles, Bearings & Circle Theorems
Set 4 Maths Home Page |
| Lesson |
Details & links | Assessed work / further work / QMA | My Learning | My Thinking | My Research | My Feelings | My Peers |
| 1 |
Basic Angle facts Starter: recap angle rules: Angles on a straight line add up
to 180
Main: recap angles in parallel lines
Angles about a point add up to 360 Angles in a triangle add up to 180 Corresponding angles are
equal
Angles
between parallels CB Alternate angles are equal Interior angles add up to 180 |
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| 2 | Angles in
quadrilaterals Starter - use the following powerpoint to recap properties of quadrilaterals - pupils to complete worksheet Quadrilaterals Powerpoint CB Main - pupils practise finding angles in special quadrilaterals ICT; Shape: Angles: Angle Sums: Lessons 6-9 |
Brown Text page 354 Q10-15 | |||||
| 3 |
Drawing and measuring bearings
including being used in scale drawings Bearings powerpoint |
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| 3 alt |
Bearings Starter - use the following powerpoint to introduce bearings, estimate measure and draw bearings Bearings Powerpoint CB Main - pupils practise questions |
Brown Text Ex 2.7 page 327 | |||||
| 4 |
Scale
Drawings Starter - go through an example using easiteach link to demonstrate how to use bearings in scale drawings Scale Drawings Easiteach CB Main - pupils practise questions |
Brown Text Ex 27.8 page 329 Q7 - 12 | |||||
| 5 |
Angles
in polygons Starter - use the following powerpoint to recap the angle sum of any polyon - pupils to complete first worksheet as a class. Pupils then find interior angles in regular polygons and irregular polygons in their books (no worksheet) Interior Angles Powerpoint CB Main - use mymaths to demonstrate that the exterior angles in any poygon add up to 360 and how this can be used to find interior and exterior angles in regular polygons. Exterior angles Mymaths Pupils to complete exercise on angles in polygons |
Brown Text Ex 31.2 pg 365 |
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| 6 |
Circle theorems 1. Angle in semi-circle is aright angle 2. Angle at centre is twice angle at circumference Circle Theorems Powerpoint |
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| 6 alt |
Circle
theorems Starter - use the following powerpoint to recap parts of a circle and introduce 3 theorems, working through problems as a class The angle subtended at the centre
of a circle is twice as big as the angle subtended at the circumference
of the circle
Circle
Theorems 1 Powerpoint CBThe angle in a semi circle is 90 degrees Angles subtended by an arc/chord in the same segment are equal Main - introduce pupils to a 4th theorem, stick 'what you need to know' sheets in exercise books and complete exercise on the worksheet Opposite angles in a
quadrilateral add up to 180 degrees
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Brown Text Ex 32.1 Q1-3 |
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| 7 |
Circle theorems 1. Angle in same segment are equal 2. Opposite angles in a quadrilateral add up to 180 Circle Theorems Powerpoint |
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| 7 alt |
More
Circle Theorems Starter - use the following powerpoint to introduce the final 3 theorems, working through problems as a class The angle between a tangent and a
radius is 90 degrees at the point of contact
Circle
Theorems 2 Powerpoint CBThe alternate segment theorem Two tangents drawn from an external point P are equal in length Main - pupils practise questions on the worksheet |
Brown Text Ex 32.2 |