Parallel and perpendicular lines
Identify horizontal and vertical lines and pairs of perpendicular and parallel lines
Lesson
Set out your lesson
“Parallel and perpendicular lines means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Counters or paper models for the idea
- Pencil for recording
Extra for the adult
Worked example. Adult shows one clear example for Parallel and perpendicular lines, then the child tries a matching example with a reason.
Optional challenge. For Parallel and perpendicular lines, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Parallel and perpendicular lines, not mastery.
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Teaching approaches
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1 approach
Parallel and perpendicular lines means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Counters or paper models for the idea; Pencil for recording. Adult models one concrete example of the idea. Child completes three concrete examples and says a reason each time. Done: three correct examples with a spoken reason each. Stop after the fresh check; keep optional challenge for another day.
Family records and proof options
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Practice this concept
Start practiceParallel and perpendicular lines practice
Practice key ideas from Parallel and perpendicular lines.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
What's the Point?
Before you open · source notes
Points, lines, rays, and segments are identified, including parallel and perpendicular pairs. Not every coordinate plot.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to point to one parallel pair and one perpendicular pair in the figure.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “What's the Point?.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Point out horizontal and vertical lines in shapes and real-world contexts
- Identify a pair of parallel lines (lines that never meet and are always the same distance apart)
- Identify perpendicular lines (lines that meet at a right angle)
“If your child looks at a set of railway tracks or a window frame, can they point to which lines are parallel (never crossing) and which are perpendicular (meeting at a right angle)?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Geometry
- Age range
- Ages 7–10
Standards