CBSE Class 2 · Mathematics
Playing with Lines (Orientations of a line)
Official NCERT chapter from Joyful Mathematics (English) (book code bejm1). ExamMaster notes are original teaching at CBSE Class 2 depth.
This lesson follows the official chapter “Playing with Lines (Orientations of a line)” in Joyful Mathematics (English). The words below are ExamMaster’s teaching, not a paste from the book. Use the NCERT chapter for the classroom sequence; use these notes to hold the idea without copying exercises or figures.
- CBSE Class 2
- Easy level
- 8 concepts
1Standing lines are vertical; sleeping lines are horizontal
A standing line goes up-down, like a door edge. A sleeping line goes across, like the floor line.
Those two names are positions, not lengths.
Figure. A standing line is vertical, like a door edge. A sleeping line is horizontal, like the floor line. The two strokes here are the same visual length; only the orientation changes.
How it works
- Find an up-down stretchStanding / vertical.
- Find an across stretchSleeping / horizontal.
- Do not mix themA floor line is not standing.
2A slanting line is neither standing nor sleeping
A slant leans. It is not up-down and not across. It needs its own name.
Calling every lean “standing” hides the test.
Figure. A slanting line leans. It is not standing and not sleeping, so it needs its own name. Calling every lean standing hides the test.
How it works
- See if it is up-downIf yes, standing.
- See if it is acrossIf yes, sleeping.
- If neither, say slantingThe leftover kind.
3A curved line is not a straight line
A straight line does not bend. A curved line does. A finger along a bangle is curved.
A slightly bent stick is still curved. “Almost straight” is not straight.
Figure. A straight line keeps one direction. If the stroke must turn, it is not straight. The right-hand path is drawn as turns, not as a smooth arc.
How it works
- Run a fingerDoes the path bend?
- If it bends, curvedNot straight.
- If it does not, straightThen ask standing, sleeping, or slanting.
4An aasana can mix those kinds of line
One pose can show a standing back, a sleeping arm, and a slanting leg. Count each kind. Do not force one name on the whole pose.
The pose is a mix. Each line still has one kind.
Figure. One pose can mix kinds: a standing back, a sleeping arm, and a slanting leg. Count each stroke. Do not force one name on the whole pose.
How it works
- Pick one body lineA back, an arm, a leg.
- Name that line’s kindStanding, sleeping, slanting, or curved.
- Then the next lineA new name is allowed.
5Circle only the pose that matches the asked kind
If the ask is “standing line”, circle the pose that shows one. Circling every pretty pose is not the test.
The asked kind is the rule. Prettiness is not.
Figure. If the ask is standing, mark only the pose that shows a standing line. The matching pose is boxed. Prettiness is not the test.
How it works
- Hear the asked kindStanding, or curved, …
- Look for that kindIn the pose.
- Circle only a matchLeave the others.
6Two straight lines can meet or stay apart
Meeting lines share a point. Parallel-looking sleeping lines stay apart. Those are two different pictures.
Do not call every pair “a cross”. Some pairs never meet on the page.
Figure. Meeting lines share a point. Two sleeping lines drawn apart never meet on the page. Those are two different pictures — not every pair is a cross.
How it works
- See if they share a pointThey meet.
- If not, they stay apartOn this page.
- Name the pictureMeet, or stay apart.
7A closed shape is made of segments
A closed shape comes back to the start. Its sides are segments. An open path does not close.
A scribble that never returns is not closed.
Figure. A closed shape comes back to its start. Its sides are segments. The triangle returns; the open path does not, so it is not a closed shape.
How it works
- Start at a pointMark it.
- Trace the pathDo you return?
- If you return, closedThe sides are the segments.
8Trace without lifting as a test of connected
If you must lift the pencil, the drawing is more than one piece. Connected means one path without a lift.
A lift is evidence, not a failure of art.
Figure. If you can trace without lifting, the drawing is one connected piece. A lift means a second piece. The lift is the test, not a failure of art.
How it works
- Try to traceNo lift.
- If you must liftTwo pieces.
- Name connected or notThe lift is the test.
A slanting line is
- Neither standing nor sleeping
- A kind of standing line
- Always curved
Lean is its own kind.
Notes
- The official chapter title is “Playing with Lines (Orientations of a line)”. Teach the school test for that title, not a contest shortcut.
- If a step needs a later class, stop. The next official chapter will pick it up.
Recap
Hold these pegs from the official chapter “Playing with Lines (Orientations of a line)”. The wording is ExamMaster’s teaching, not a textbook recap.
- Standing lines are vertical; sleeping lines are horizontal
- A standing line goes up-down, like a door edge.
- A slanting line is neither standing nor sleeping
- A slant leans. It is not up-down and not across. It needs its own name.
- A curved line is not a straight line
- A straight line does not bend. A curved line does. A finger along a bangle is curved.
- An aasana can mix those kinds of line
- One pose can show a standing back, a sleeping arm, and a slanting leg.
- Circle only the pose that matches the asked kind
- If the ask is “standing line”, circle the pose that shows one.
- Two straight lines can meet or stay apart
- Meeting lines share a point. Parallel-looking sleeping lines stay apart. Those are two different pictures.
Practise Playing with Lines (Orientations of a line)
Reading is free and needs no account. Practice, mocks and progress live in the app.
- A 4-question practice set that ends the chapter
- 1 quick check with worked explanations
- Timed mocks scored with the real marking scheme
- Readiness tracked per topic, kept on your device