Plotting Linear Graphs
Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line
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Plotting Linear Graphs 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: Balance or equation cards with a box for the unknown; Pencil. 1. Say the goal of Plotting Linear Graphs in plain words once. 2. Adult solves one simple unknown (□ + 3 = 10) and checks by substituting. 3. Child solves three unknowns and checks each by substituting. 4. Fresh check: one fresh unknown with a check. Record and stop. Done: three correct unknowns with a substitution check. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practicePlotting Linear Graphs practice
Practice key ideas from Plotting Linear Graphs.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
Symmetry of the addition table
Before you open · source notes
Symmetry of the addition table supports plotting linear graphs. Not every worksheet pack.
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 explain one step of “Symmetry of the addition table” in their own words.
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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. “Symmetry of the addition table.” 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
- Generate a table of (x, y) values for a linear equation and plot the points accurately
- Rearrange an equation such as 2x + 3y = 12 into the form y = mx + c
- Calculate the gradient between two coordinate points using rise over run
“Can your child draw the graph of a straight line by making a table of values and plotting the points — and work out the gradient from two points on the line?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 12–14
Standards