Notes of Lessons: Geometry, Class II

Notes of Lessons: Geometry, Class II

[We have thought that it might be of use to our readers (in their own families) to publish from month to month during the current year, Notes of Lessons prepared by students of the House of Education for the pupils of the Practising School. We should like to say, however, that such a Lesson is never given as a tour de force, but is always an illustration or an expansion of some part of the children’s regular studies (in the Parents’ Review School), some passage in one or other of their school books.—Ed.]

Group: GeometryClass IITime: 20 minutes

By H. Dyke
The Parents’ Review, 1906, pp. 497-498

Parallel Lines


I. To teach the properties of parallel lines.

II. To cultivate the habit of accurate work.

III. To give training in neatness.

IV. To show Janet the practical use of geometry.


Step I.—Ask Janet to draw any two lines on the board and produce them till they meet. Let her draw two lines which will not meet if produced.

Step II.—Give the definition. Lines which, when produced, will never meet are called parallel lines. Ask her to name any pairs of parallel lines in the room.

Step III.—Show Janet how to draw parallel lines, using a set square and ruler.

Step IV.—Let Janet practise this and then draw lines through the pairs of parallel lines, thus—Ask her to measure all the angles and discover any relation between them, viz., the angles marked 1 are always equal, also those marked 2, and those marked three always make together two right-angles.

Step V.—Ask her to cut out such a figure in paper and fit the alternate angles upon one another to show that they are equal.

Step VI.—Ask her what practical use she could make of this knowledge, e.g., in cardboard sloyd she might test squares and rectangles by measuring the alternate angles.

Step VII.—Summarise by asking Janet to say, without actual measurement, which of the pairs of lines drawn on the board are parallel and pointing out the pairs of equal angles.