Negative Numbers
Count backwards through zero to include negative numbers
Lesson
Set out your lesson
“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 Negative Numbers, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Negative Numbers, not mastery.
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Teaching approaches
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1 approach
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.
Materials: Number line (−5 to 5) on paper; A token. Adult places −2 and +3 and compares which is greater. Child places three integers and says which is greater for two pairs. Done: three placements plus two correct comparisons. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceNegative Numbers practice
Practice key ideas from Negative Numbers.
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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
It's Warmer in Miami
Before you open · source notes
Temperature comparisons support negative numbers in real contexts. Not every absolute-value proof.
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 say which temperature is warmer and why a negative matters.
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. “It's Warmer in Miami.” 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
- Count backwards from 5 through zero: 5, 4, 3, 2, 1, 0, −1, −2 …
- Place negative numbers on a number line
- Understand that negative numbers are less than zero and use them in context (e.g. temperature)
“Can your child count backwards past zero into negative numbers — like 3, 2, 1, 0, −1, −2, −3 — without hesitating at zero?”
Curriculum record
- Type
- Conceptual
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 8–12
Standards