Number Pattern Relationships
Generate two numerical patterns using two given rules; identify relationships between corresponding terms; form ordered pairs and graph them on a coordinate plane
Lesson
Set out your lesson
“Number Pattern Relationships 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
- Tally sheet or simple bar sketch
- A short set of category counts
Extra for the adult
Worked example. Cats 4, dogs 2 — cats have more. The tally and comparison are the proof.
Optional challenge. For Number Pattern Relationships, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Number Pattern Relationships, not mastery.
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Teaching approaches
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1 approach
Number Pattern Relationships 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: Tally sheet or simple bar sketch; A short set of category counts. Adult tallies one category and sketches a bar. Child tallies three categories and answers one comparison question. Done: three tallies plus one correct comparison. Stop after the fresh check; keep optional challenge for another day.
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Practice this concept
Start practiceNumber Pattern Relationships practice
Practice key ideas from Number Pattern Relationships.
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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
Comparing Numbers
Before you open · source notes
Comparing Numbers supports number pattern relationships. 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 “Comparing Numbers” 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. “Comparing Numbers.” 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 sequences starting at 0 with rules 'add 3' and 'add 6'; observe terms in one are twice the other
- Form ordered pairs from corresponding terms and plot them on a coordinate grid
- Explain informally why the relationship between the two sequences holds
“Can your child follow two number patterns at once — for example, "add 2" and "add 4" — pair up the matching terms, and plot those pairs as points on a graph?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Algebra
- Age range
- Ages 10–12
Standards