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# Number & Operations in Base Ten

#### Use place value understanding and properties of operations to perform multi-digit arithmetic

In the early grades, students begin to understand numbers, ways of representing numbers, relationships among numbers, and number systems. NCTM states, “It is absolutely essential that students develop a solid understanding of the base-ten numeration system and place-value concepts by the end of grade 2.” Students in third grade are expected to be fluent in multiplying and dividing within 100 and adding and subtracting within 1000. An understanding of place-value is key to accomplishing this fluency goal. The same skills that were used with ten frames earlier in the students’ life can be expanded and applied here, to allow students to develop efficient strategies to perform multi-digit operations with numbers.

This continuum contains Counting and Cardinality standards for K, Number and Operations and Algebraic Thinking standards K-3, Number and Operations in Base Ten standards K-3, Number and Operations – Fractions standards for grade 3.