Ordering and comparing signed integers, decimals and fractions
Order positive and negative integers, decimals, and fractions on a number line; use the symbols =, ≠, <, >, ≤, ≥ to compare values including negative numbers and mixed representations
Lesson
Set out your lesson
“Ordering and comparing signed integers, decimals and fractions 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
- Paper strips or a folded circle
- Pencil and labels (1/2, 1/4)
Extra for the adult
Worked example. Fold a strip in half: each piece is 1/2 of the whole.
Optional challenge. For Ordering and comparing signed integers, decimals and fractions, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Ordering and comparing signed integers, decimals and fractions, not mastery.
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Teaching approaches
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1 approach
Ordering and comparing signed integers, decimals and fractions 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: Paper strips or a folded circle; Pencil and labels (1/2, 1/4). 1. Say the goal of Ordering and comparing signed integers, decimals and fractions in plain words once. 2. Adult folds a strip into halves and labels 1/2. 3. Child makes three fair shares (or fraction operations with strips) and names each result. 4. Fresh check: one fresh equal-part or fraction result. Record and stop. Done: three correctly named fraction results. 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 practiceOrdering and comparing signed integers, decimals and fractions practice
Practice key ideas from Ordering and comparing signed integers, decimals and fractions.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
PhET Interactive Simulations · Practice link — not the full lesson
Number Line: Integers
Before you open · source notes
Number Line: Integers supports hands-on exploration for Ordering and comparing signed integers, decimals and fractions. Not every lab worksheet.
Free interactive page, no sign-in required for the tested path.
Before you openAsk the learner what they changed in the sim or page and what they observed.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public PhET Interactive Simulations page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
PhET Interactive Simulations. “Number Line: Integers.” External page; Gakuva does not copy, host, embed, or redistribute materials.
Unknown — link only
Check understanding
- Order a mixed set of positive and negative integers, decimals, and fractions
- Use the symbols =, ≠, <, >, ≤, ≥ correctly in mathematical statements
- Compare numbers presented in different forms such as 0.75 and 3/4
“If your child is given a mixed list like 2.5, −3, ¾, 0, and −0.5, can they put them in order from least to greatest using a number line if needed?”
Curriculum record
- Type
- Representational
- Subject
- Mathematics
- Domain
- Number Representation & Place Value
- Age range
- Ages 11–13
Standards