Mathematics Class 7
Constructions and Tilings
Build a corner, a triangle and a parallel with a compass, and tile a floor.
17 lessons · ~109 min total
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Lessons in this topic
- 0 Start here Build a corner, a triangle and a parallel with a compass, and tile a floor. · 3 min You are here
- 1 Copy a corner, no protractor Copy a corner with a compass. Use the same radius, and carry the gap. · 6 min
- 2 The line fair to both ends The perpendicular bisector cuts a segment in half at 90°. Its points are equally far from both ends. · 7 min
- 3 Split a corner in two Bisect a corner with equal marks and equal arcs. The ray makes two equal halves. · 6 min
- 4 A parallel through a point Copy the corner a crossing line makes. The new line is parallel. · 7 min
- 5 Three lengths, one triangle Rule a base, strike two arcs, join the crossing. Each length must be less than the other two added. · 7 min
- 6 Two sides, the angle between Two lengths and the angle between them build one triangle. Measure the third side. · 7 min
- 7 Covering a floor with no gaps A tiling covers a region with no gaps and no overlaps. Count the squares first. · 6 min
- 8 The corners must add to 360° Tile corners meeting at one point must add to 360°. · 7 min
- 9 A square line from a point Draw a perpendicular through a point on a line, or from a point off it. · 7 min
- 10 60°, 30° and 15° with a compass An equilateral triangle gives 60°. Bisecting gives 30° and 15°. · 7 min
- 11 A hexagon from a circle Step the compass round a circle at its radius. Six steps close. · 7 min
- 12 The tangram Seven pieces cut from one square. Each is a share of it. · 7 min
- 13 Tiling the whole floor Which regular shapes fill a floor, and why only three do. · 7 min
- 14 Checkpoint: perpendiculars, 60°, hexagons and floors A quick graded check on the perpendicular, 60° and 15°, the hexagon, the tangram and tiling. · 5 min
- 15 The big picture Thirteen ideas on one screen. · 4 min
- 16 Track quiz A cheat-sheet table and thirteen questions, one per idea. · 9 min
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