Decimals
Unit description: Students will extend their understanding of the base-ten number system to place values smaller than one. Students will consider tenths and hundredths and how they are represented as fractions and in decimal form. Students will compare decimals using strategies based on place value.
Essential Outcomes of the Unit
Number and Operations—Fractions- Understand decimal notation for fractions, and compare decimal fractions.
Note: Grade 4 expectations are limited to fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
NY-4.NF.5 Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. Note: Students who can generate equivalent fractions can develop strategies for adding fractions with unlike denominators in general. But addition and subtraction with unlike denominators in general is not a requirement at this grade.
NY-4.NF.6 Use decimal notation for fractions with denominators 10 or 100.
NY-4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
Essential Questions and Big Ideas
How are decimals related to fractions?
Decimals represent fractions with denominators that are powers of ten.
Where do decimals fit in the base ten system?
Decimal places are to the right of whole number places.
Decimal places represent quantities that are smaller than whole numbers.
How do I compare decimals?
Decimals can be compared by comparing greater place values first.
Download the complete Grade 4 Math Unit 6 framework to customize for your own planning.