In This Unit of Study…

Students extend their understanding and application of place value concepts in the base 10 system. Students extend their understanding and application of place value concepts in the base-10 system as they encounter multi-digit numbers with decimals to the thousandths place. Students reason about the magnitude of numbers by recognizing that a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. Students use concrete and representational manipulatives, such as decimal squares, base-ten blocks, place-value charts, drawings, and interactive digital tools to investigate place value relationships.

B.E.S.T. Benchmarks:

• MA.5.NSO.1.1 Express how the value of a digit in a multidigit number with decimals to the thousandths changes if the digit moves one or more places to the left or right.

Key Concepts:

• I can make sense of place value within multidigit numbers, including decimal numbers to the thousandths place.
• I can reason that a digit in one place represents 10 times what it represents in the place to its right and 1/10 of what it represents in the place to its left.
• I can recognize patterns in the number of zeros at the end of products when multiplying by multiples of 10 and powers of 10.
• I can reason about where to place the decimal point when a decimal is multiplied or divided by a power of 10.