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MathematicsAddition & SubtractionAges 11–13

Positive and Negative Numbers

Understand positive and negative numbers as describing quantities with opposite directions or values; use them in context such as temperature, floors in a building, and bank balances

Lesson

Set out your lesson

“Positive and Negative Numbers 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 Positive and Negative Numbers, add one harder example after success.

What to notice. Keep one parent note: examples tried; results; support used. This session samples Positive and Negative Numbers, not mastery.

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Share and support
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

Positive and Negative Numbers practice

Practice key ideas from Positive and Negative Numbers.

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

Kiri's Mathematics Match Game

Open practice (new tab)
Before you open · source notes

Kiri's Mathematics Match Game supports positive and negative numbers. 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 “Kiri's Mathematics Match Game” 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. “Kiri's Mathematics Match Game.” 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

  • Represent positive and negative numbers on a number line and explain what zero means in context
  • Add a positive or negative number to any integer using number line reasoning
  • Subtract a positive or negative number from any integer, understanding that subtracting a negative is equivalent to adding
“If your child sees temperatures like −3°C and +5°C on a weather forecast, can they figure out how much warmer one day is than the other — even when the answer crosses zero?”

Curriculum record

Type
Representational
Subject
Mathematics
Domain
Addition & Subtraction
Age range
Ages 11–13

Standards

ccss-math:6.NS.5ccss-math:6.NS.6ccss-math:6.NS.6accss-math:7.NS.1ccss-math:7.NS.1accss-math:7.NS.1bccss-math:7.NS.1cccss-math:7.NS.1dthe-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B1.3the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-B2.4the-ontario-curriculum-mathematics-2020:ON-MATH-2020-G7-C1.4uk-nc-2013:KS3.Maths.Num.2