Standards: ●   5.NSBT.1 Understand that, in a multi-digit whole number, a digit in one place represents 10 times what the same digit represents in the place to its right, and represents times what the same digit represents in the place to its left.●   5.NSBT.2 Use whole number exponents to explain:   a. patterns in the number of zeroes of the product when multiplying a number by powers of 10;   b. patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.●   5.NSBT.3 Read and write decimals in standard and expanded form. Compare two decimal numbers to the thousandths using the symbols >, =, or <.●   5.NSBT.4 Round decimals to any given place value within thousandths
Where students have already been:In 4th grade, place value of whole numbers focused on understanding math periods and the patterns found in those periods. (4.NSBT.1). In 5th grade, students apply the same pattern (math periods) while working with decimal numbers, using whole number exponents to when multiplying and dividing by a power of 10. This is the first time students have been introduced to the use of whole number exponents to denote powers of 10.Students extend their understanding of the base-ten system to how numbers compare and how numbers round for decimal numbers to thousandths.Â
Where the students are going: In Unit 9, students will use these skills when converting units within the metric system. As the year progresses, having a solid understanding of decimal numbers will strengthen their flexibility when working with fractions, decimals, and percents (in 6th grade) in problem-solving situations.Students need to have a firm grasp of place value (whole numbers and decimal numbers) for future work with computing with numbers, exponents and scientific notation.