Counting big collections in groups
Quantify collections of up to 120 objects by partitioning them into equal groups (twos, fives or tens) and skip counting, explaining why grouping makes counting faster and more reliable
Lesson
Set out your lesson
“Counting big collections in groups means partitioning a pile into equal groups—twos, fives, or tens—then skip counting to find the total. Grouping is faster and more reliable than touching every object from one when the set is large. We will sort one pile into tens, skip count, compare with ones counting, then try a fresh collection.”
Bring to the table
- About 40–60 large counters, dried beans, or paper squares (parent keeps tiny pieces away from mouths)
- Paper and pencil for recording group counts
Extra for the adult
Worked example. 36 counters → three groups of ten and six ones → 10, 20, 30 + 6 = 36. Skip counting equal groups finds the same total faster than recounting from one each time.
Optional challenge. For Counting big collections in groups, quantify about 60 objects with tens, then check the same total with fives. Optional: explain which grouping felt easier and invent a “jar of buttons” story that needs skip counting.
What to notice. Keep one parent note: collection size; grouping chosen; skip-count total; child’s reason that grouping helps; support used. A photo of piles alone does not show the skip-count talk. This session samples a few collections, not mastery of every count to 120.
Share and support
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Teaching approaches
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1 approach
Counting big collections in groups means partitioning a pile into equal groups—twos, fives, or tens—then skip counting to find the total. Grouping is faster and more reliable than touching every object from one when the set is large. We will sort one pile into tens, skip count, compare with ones counting, then try a fresh collection.
Spend about 12 minutes quantifying a kitchen-table collection by making equal groups and skip counting, explaining why grouping helps, then checking a second pile.
Family records and proof options
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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
Bundling and Unbundling
Before you open · source notes
Ones, tens, and hundreds are bundled and unbundled to name large collections. Supports grouping counts, not every skip-count song.
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 bundle ones into tens (or tens into hundreds) and say the new total.
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. “Bundling and Unbundling.” 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 85 pegs by sorting them into groups of ten and counting on 10, 20, ... 80, 85
- Count 46 shoes by pairing them and skip counting by twos
- Explain why counting 120 straws in bundles of ten is easier than counting one by one
“If your child wants to know how many pasta shells are in a big jar, can they put them into groups of ten and count the groups to find the total?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Counting & Cardinality
- Age range
- Ages 6–8
Standards