NY Next Generation Math NY-K.OA.3
The Standard
Decompose numbers less than or equal to 10 into pairs in more than one way.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break numbers through 10 into two parts in more than one way. They record each pair with a drawing or equation.
What Mastery Looks Like
- The student decomposes 7 as 1 and 6, 2 and 5, 3 and 4, and other valid pairs. The student connects each model to an equation.
Common Misconceptions
- Students may repeat one pair in reverse and think no other combinations exist. They may change the total while moving objects between the two parts.
How to Assess It
- Give students eight counters and two circles. Ask for three different ways to split the counters and a drawing or equation for each.
Lesson moves
Ways to Teach It
Shake two-color counters in a cup, spill them, and record the two parts that still make the target number.
Ask students how they know they found a new pair without changing the total.
Play decomposition cover-up by hiding one part of a set and naming the visible and hidden parts.
Split a set of classroom items between two containers in several ways while keeping the same total.
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Printable NY-K.OA.3 Worksheet

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Related Standards
- NY-K.OA.4
Find the number that makes 10 when given a number from 1 to 9.
- NY-1.NBT.5
Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
- NY-K.CC.7
Compare two numbers between 1 and 10 presented as written numerals.
- NY-K.NBT.1
Compose and decompose the numbers from 11 to 19 into ten ones and one, two, three, four, five, six, seven, eight, or nine ones.
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