Angles, scale diagrams and bearings (2 year teaching) (8300 - Higher - Geometry and measures)

Topic:

Angles, scale diagrams and bearings

Specification references (in recommended teaching order)

	Specification content	Specification notes
G1	Use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries Use the standard conventions for labelling and referring to the sides and angles of triangles Draw diagrams from written descriptions
G3	Apply the properties of: angles at a point angles at a point on a straight line vertically opposite angles Understand and use alternate and corresponding angles on parallel lines	colloquial terms such as Z angles are not acceptable and should not be used
R2	Use scale factors, scale diagrams and maps	including geometrical problems
G15	Measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings	including the eight compass point bearings and three-figure bearings

The subject content (above) matches that set out in the Department for Education’s Mathematics GCSE subject content and assessment objectives document.

The expectation is that:

All students will develop confidence and competence with the content identified by standard type
All students will be assessed on the content identified by the standard and the underlined type; more highly attaining students will develop confidence and competence with all of this content
Only the more highly attaining students will be assessed on the content identified by bold type. The highest attaining students will develop confidence and competence with the bold content.

Teaching resources

Teaching resources - see below

99+

Downloadable resource in format. 29/08/2014

Scale Drawing and Maps

A powerpoint introduction to the use of map scales and a worksheet using scale to interpret a map within the London area. You will need to register for a TES account to access this resource, this is free of charge.19/05/2015

Air Traffic Control

Online simulation of the flights of a number of planes flying on path with given bearings in which students must identify which aircraft are at risk of collision.19/05/2015

Angle Points

Interactive exercises which involve calculation of missing angles on a straight line, at a point and vertically opposite angles (Levels 1 - 4).19/05/2015

Designing your own theme park

Powerpoint and self assessment grid which provides a structure for students to design their own theme park, producing a scale diagram. You will need to register for a TES account to access this resource, this is free of charge. 19/05/2015

News Common

Activity in which students must locate the appropriate starting point on a grid to ensure the route around the given set of directions reaches the allocated finishing point. 19/05/2015

Scale Drawings

A series of online exercises which involve measuring angles and lines on various diagrams and using a range of different scale factors.19/05/2015

Transversal

A set of interactive webpages illustrated angle properties on parallel lines, each with a series of questions.19/05/2015

Terminology

Problem solving activity involving angle calculations in triangles 19/05/2015

Bearing World Map

A worksheet to practice bearings using a map of the world. You will need to register for a TES account to access this resource, this is free of charge.19/05/2015

Bearings and scale diagrams

A worksheet which offers practice in the use of scales and bearings. You will need to register for a TES account to access this resource, this is free of charge.19/05/2015

CIMT Angles

Worksheets which provide practice of calculating missing angles in triangles and on straight lines.19/05/2015

Scale Drawing and Maps

Angle Theorems

Interactive demonstrations of the angle theorems including alternate and corresponding angles, angles on a straight line, vertically opposite angles, angles at a point and angles in triangles and quadrilaterals.19/05/2015

Properties of angles and shapes - Angles - Additional questions

Downloadable resource in xls format. 30/05/2010

134 KB