Basic constructions 1 â The rules of the game 2 â Challenge : basic
Season 3 ⢠Episode 05 ⢠Basic constructions. ¾. Task 4 â Construct a perpendicular to a line though a point not on the line. Task 5 â Construct an angular ...
Objectives : • Dis over the rules of ruler and ompass geometry. • Study a few basi onstru tions. Materials : • Ruler and ompass. • Task sheet.
1 – The rules of the game
10 mins
The tea her explains the rules of ruler and ompass geometry. The fa t that the straightedge is not marked is emphasized, as is the dieren e between the ompass and the divider.
2 – Challenge : basic constructions
45 mins
Students work in groups of 4 or 5. They have to use the ruler and ompass to do some simple onstru tions. Every onstru tion must be validated by the tea her before the group pro eeds to the next onstru tion. At the end of the hour every students hands out a personnal paper that will be graded by the tea her. 1. Copy a given length on a line. 2. Bise t a line segment. 3. Constru t a perpendi ular to a line at a point on the line. 4. Constru t a perpendi ular to a line from a point not on the line. 5. Constru t an angle bise tor. 6. Copy an angle. 7. Constru t a parallel to a line through a given point (without drawing any perpen-
di ular to the line). 8. Partition a segment into n ongruent segments. 9. Divide a segment into a given ratio (for example 3 to 2).
Season 3 Episode 05 Document Task sheet
Basic constructions
Task 1 – Copy a given length on a line. b
b
b
Task 2 – Bisect a line segment.
b
b
Task 3 – Construct a perpendicular to a line through a point on the line.
b
2
Season 3 • Episode 05 • Basic constructions
Task 4 – Construct a perpendicular to a line though a point not on the line.
b
Task 5 – Construct an angular bisector.
Task 6 – Copy an angle.
3
Season 3 • Episode 05 • Basic constructions
Task 7 – Construct a parallel to a line through a given point.
b
Task 8 – Partition a segment into n congruent segments.
b
b
Task 9 – Divide a segment into a given ratio (for example 3 to 2).
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