KOAA3 About the Math, Learning Targets, and Opportunities for Enrichment

Kindergarten Mathematics Addition and Subtraction

K.OA.A.3

Full Standard

Decompose numbers less than or equal to 10 into pairs in more than one way, e.g., by using objects or drawings, and record each decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4 + 1).

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

Kindergarten Students Learning Kindergarten Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

Report Card Measurement Topic: Demonstrates understanding of addition.

 

About the Math

Skills and concepts below are learning goals for this standard.

  • Decompose (break apart) numbers to 5 using objects or drawings.
  • Decompose (break apart) numbers to 10 using objects or drawings.
  • Decompose a number (5 or 10) in more than one way (e.g., 5 = 2 + 3 and 5 = 4 + 1).
  • Identify an equation for a decomposed number.

In order for students to decompose numbers they must first understand the part-part whole relationships. Students see that numbers are made up of other numbers. Then they can see that a number can be broken apart into smaller quantities. Begin with numbers 4 and 5 and give students two-color counters, connecting cubes and ask them to build the number so that five can be 4 and 1, 2 and 3 and 5 and 0. Students can record their findings by drawing. Some students may be able to represent the relationships with numerals. This is a goal for the end of the year. Connect this concept to the five and ten frame. Some students may need to see the representation of the quantity.

Decomposing 5 and 10 lay the foundation for better developed number sense and computational fluency in later grades. Students should continue to practice decomposition after the standard has been taught. Also note that students should connect decomposition to equations after they show understanding of equations. Until this occurs, it is wise to record equations for students and connect the representation to the specific equation.

 

Progression of Standard within Kindergarten

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

  • Decompose (break apart) numbers to 5 using objects or drawings.
  • Decompose a number in more than one way (e.g., 5 = 2 + 3 and 5 = 4 + 1).
  • Identify an equation for a decomposed five.
  • Decompose (break apart) numbers to 10 using objects or drawings.
  • Decompose a number in more than one way (e.g., 5 = 2 + 3 and 5 = 4 + 1).
  • Identify an equation for a decomposed number.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 1
  • Add and subtract within 20 (1.OA.6)

 

 

 

 

 

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