Maryland Math K.NOS.D.11
The Standard
Decompose numbers within 10 in more than one way, by using objects or drawings, and record each decomposition with a drawing or equation (e.g., 10 = 4 + 6 and 10 = 4+5 + 1).
Maryland College and Career Ready Standards for Mathematics (2025) · DECOMPOSE NUMBERS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split up to 10 objects into groups in more than one way. They show each split with a drawing or an addition equation. They can also try making three groups.
What Mastery Looks Like
- Given 9 counters, a student can make groups of 4 and 5, then groups of 3 and 6, without changing the total. They can draw both splits or write 9 = 4 + 5 and 9 = 3 + 6.
Common Misconceptions
- Some students lose track of the total when they move counters, or draw a different number than they counted. Others count 4 + 5 and 5 + 4 as different pairs instead of finding a new split.
How to Assess It
- Give each student 8 counters and a half-sheet of paper. Ask, "Show two different splits of 8. Draw each split or write an equation for it."
Lesson moves
Ways to Teach It
Give pairs 10 buttons and two paper plates; have them make and record three different splits of 10.
Show 7 dots as 2 and 5, then ask partners to explain what changes and stays the same when one dot moves groups.
Play a ten-frame challenge with 9 red and 9 blue counters; fill nine spaces and record each new split without repeating a pair.
Put 8 pencils in two classroom supply cups in two ways; students draw each cup to show both packing plans.
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Printable K.NOS.D.11 Worksheet
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Related Standards
- K.AT.A.2
Solve addition and subtraction problems in context (add to, take from, put together/take apart) within 10 and represent by using objects, drawings, and/or equat...
- K.NOS.C.9.a
Compose and decompose numbers from 11 to 19 into ten ones and some further ones by using objects or drawings, and equations (e.g., 13 = 10 + 3).
- 2.NOS.A.1.a
Compose and decompose three-digit numbers into hundreds, tens, and ones by using objects, drawings, and/or equations (e.g., 328 = 300 + 20 + 8 or 328 is thirty-...
- 1.NOS.B.3.a
Compose and decompose two-digit numbers into tens and ones using objects or drawings, and equations (e.g., 10 + 4 = 14; 38 = 30 + 8).
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