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MathematicsGeometryAges 10–11

The coordinate grid

Understand a coordinate system defined by two perpendicular number lines (axes) with an origin at (0,0); know that an ordered pair (x, y) specifies a unique point where the first number gives horizontal distance and the second gives vertical distance from the origin

Lesson

Set out your lesson

“The coordinate grid 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

  • Number line (−5 to 5) on paper
  • A token
Extra for the adult

Worked example. On the number line, 3 is to the right of −2, so 3 is greater.

Optional challenge. For The coordinate grid, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples The coordinate grid, not mastery.

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Family records and proof options

Keep a record of your learning

Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.

Practice this concept

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Gakuva activity

The coordinate grid practice

Practice key ideas from The coordinate grid.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

Extra practice links — they do not replace Gakuva’s teaching approach.

Illustrative Mathematics · Practice link — not the full lesson

Polygons in the Coordinate Plane

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Before you open · source notes

Polygons in the coordinate plane support working on a coordinate grid. Not every vector lesson.

Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.

Before you open

Ask the learner to plot polygon vertices and name one side length from the grid.

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. “Polygons in the Coordinate Plane.” 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

  • Identify the x-axis, y-axis, and origin on a coordinate grid
  • Explain that (3, 5) means go 3 along the x-axis and 5 up the y-axis
  • Distinguish (2, 4) from (4, 2) by explaining each coordinate's meaning
“If your child looks at a map with a grid and you describe a location as "3 across and 5 up from the origin", can they find the exact point — and explain what each of the two numbers tells you?”

Curriculum record

Type
Conceptual
Subject
Mathematics
Domain
Geometry
Age range
Ages 10–11

Standards

acara-v9:AC9M5SP02ccss-math:5.G.1the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G5-E1.4