onstruction
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Download and printout this complete illustrated guide to Interactive
Construction (Word document, 266Kb).
It is likely that tutors
will want their students to use the main sections called Foundation, Intermediate and
Advanced. These materials cover the requirements of
the UK National Curriculum - and much more besides. Foundation level tasks can
be used with students at primary and secondary level. These pages are designed
to draw the student towards the Foundation, Intermediate and Advanced work, and
to make other topics less prominent. The MathsNet icon at the top left of every
page always takes you back to the main introductory Construction page, from
where all topics are accessible.
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A simple introduction to construction,
concentrating on the buttons for constructing
Vocabulary: point, vertex, vertices,
line, intersection, parallel, perpendicular, circle, centre, circumference,
square, rectangle, rhombus, parallelogram, quadrilateral, triangle, isosceles,
equilateral. |
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Essential constructions including:
- perpendicular lines
- parallel lines
- bisectors of lines and angles
- triangles: isosceles, equilateral,
right-angled
- angles: 90°, 45°, 60°, 30°,
15°, 75°, 120°, 105°
- quadrilaterals: trapezium, parallelogram, rhombus,
kite, square, rectangle.
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Test your skills with a wide range of
challenges, some very difficult indeed! All tasks will give the students a
code number which can be used by the tutor for
verification of task completed. For the tutor to check these codes they must
have password access to the codes page. Contact
MathsNet for this password. Advanced
constructions include:
- polygons: equilateral and isosceles triangle,
square, rectangle, pentagon, hexagon, octagon
- rules: various locus definitions, circle, straight
line, bisector
- circles and their properties
- changes: reflection, rotation, enlargement,
translation
- numbers: square roots Ö2, Ö3,
Ö5, golden ratio
- extra: various more difficult
constructions
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