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MathematicsData & StatisticsAges 9–12

Line graph problems

Solve comparison, sum, and difference problems using information presented in a line graph

Lesson

Set out your lesson

“Line graph problems 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

  • 20 counters
  • Paper and pencil
Extra for the adult

Worked example. Start with 12 counters, remove 4, 8 remain. Write 12 − 4 = 8.

Optional challenge. For Line graph problems, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Line graph problems, not mastery.

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Teaching approaches

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1 approach

Selected Default Gakuva

Line graph problems 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: 20 counters; Paper and pencil. Adult models 12 − 4 by removing counters, then writes the difference. Child solves three subtraction problems with counters and records each difference. Done: three correct differences with counters matching the writing. Stop after the fresh check; keep optional challenge for another day.

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Gakuva activity

Line graph problems practice

Practice key ideas from Line graph problems.

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

Finding Common Denominators to Subtract

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Before you open · source notes

Finding Common Denominators to Subtract supports line graph problems. 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 open

Ask the learner to explain one step of “Finding Common Denominators to Subtract” in their own words.

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. “Finding Common Denominators to Subtract.” 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

  • Read a line graph of temperature over a week and identify the warmest day
  • Find the difference in rainfall between two months from a line graph
  • Explain what a rising/falling line means on a time-series graph
“If your child sees a line graph showing how a plant's height changed over several weeks, can they read off values, spot when it grew fastest, and find the difference between two points?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Data & Statistics
Age range
Ages 9–12

Standards

acara-v9:AC9M5ST02the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G6-D1.6uk-nc-2013:Ma5/5.1a