NY Next Generation Math NY-K.CC.4.b
The Standard
Understand that the last number name said tells the number of objects counted, (cardinality). The number of objects is the same regardless of their arrangement or the order in which they were counted.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students understand that the last number word used in a count names the total number of objects. They know the total stays the same when the objects are rearranged or counted in another order.
What Mastery Looks Like
- After counting 12 objects, the student answers how many without counting again. The student keeps the total at 12 after the objects are spread out or counted from a different starting point.
Common Misconceptions
- Students may repeat the count when asked how many because they do not connect the last word to the total. They may think a longer row contains more objects.
How to Assess It
- Ask a student to count nine buttons, state the total, and watch you rearrange them. Ask for the new total and an explanation without recounting.
Lesson moves
Ways to Teach It
Count a set of buttons, circle the final written number, then rearrange the same buttons and discuss the unchanged total.
Ask students to explain what the last number word tells us after a set has been counted.
Play rearrange-and-remember, where partners count a set once and state its total after each new arrangement.
Count fruit on a tray, move it into a basket, and confirm that moving it does not change the amount.
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Printable NY-K.CC.4.b Worksheet
A ready-to-print activity worksheet aligned to NY-K.CC.4.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- NY-K.CC.5.b
Given a number from 1–20, count out that many objects.
- NY-K.CC.5.a
Answer counting questions using as many as 20 objects arranged in a line, a rectangular array, and a circle. Answer counting questions using as many as 10 objec...
- NY-K.CC.4.a
When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only ...
- NY-K.CC.4
Understand the relationship between numbers and quantities up to 20; connect counting to cardinality.
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