8. Constructions and Loci

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GCSE: Constructions & Loci Dr J Frost Last modified: 28 th December 2014.
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Presentation transcript:

8. Constructions and Loci

Construction and loci Assumed knowledge draw parallel lines draw circles and arcs to a given radius Reference material 10 Ticks MEP

Constructions - Triangles learning objectives: construct triangles including an equilateral triangle (12.1, 12.3) understand, from the experience of constructing them, that triangles satisfying SSS, SAS, ASA and RHS are unique, but SSA triangles are not (12.1) Reference Material 10 Ticks: MEP:

Constructions – Perpendicular lines learning objectives: construct the perpendicular bisector of a given line (12.2) construct the perpendicular from a point to a line (12.2) construct the perpendicular from a point on a line (12.2) Reference Material 10 Ticks: MEP:

Constructions – Angles learning objectives: construct the bisector of a given angle (12.3) construct angles of 60°, 90°, 30°, 45° (12.3) Reference Material 10 Ticks: MEP:

Constructions – Other Constructions learning objectives: construct a regular hexagon inside a circle (12.3) construct diagrams of everyday 2-D situations, involving rectangles, triangles, perpendicular and parallel lines draw and construct diagrams from given information Reference Material 10 Ticks: MEP:

Constructions - Regions learning objectives: construct a region bounded by a circle and in intersecting line: (12.5) a given distance from a point and a given distance from a line (12.4) equal distances from two points of two line segments (12.4) regions which may be defined by ‘nearer to’ or ‘greater than’ (12.5) Reference Material 10 Ticks: MEP:

Constructions - Loci learning objectives: find and describe regions satisfying a combination of loci (12.5) Reference Material 10 Ticks: MEP:

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