**South Dakota Education Standards**.

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SD.K.A. Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

K.A.3. Interpret and develop mathematical models.

K.A.3.1. Knowledge: Students are able to use concrete objects to model the meaning of the '+' and '-' symbols.

K.A.3.1.a. Model problem situations using physical materials.

SD.K.N. Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

K.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

K.N.1.1. Comprehension: Students are able to read, write, count, and sequence numerals to 20.

K.N.1.1.a. Say the forward number word sequence to 20 and the backward number sequence from 10.

K.N.1.1.b. Say the number before and after a given number in the range 0-20.

K.N.1.1.c. Use one-to-one correspondence.

K.N.1.1.f. Count objects in a given set and write the corresponding numeral.

K.N.3. Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

K.N.3.1. Application: Students are able to solve addition and subtraction problems up to 10 in context.

K.N.3.1.a. Represent problem situations and solve using concrete objects, pictures, or numbers.

K.N.3.1.b. Explain how to solve story problems using concrete objects and pictures.