The table below shows how the content, or thread, of comparing and ordering numbers is revisited, yet becomes increasingly more sophisticated through the grades.

Content (Thread) Pre-K K 1st 2nd 3rd 4th 5th 6th Content Strand: Number and Numeration Program Goal: Understand Common Numerical Relations Comparing and ordering numbers Goal 4.Compare and order groups of objects using words such as more, fewer, less, same. Goal 6.Compare and order whole numbers up to 20. Goal 7.Compare and order whole numbers up to 1,000. Goal 7.Compare and order whole numbers up to 10,000; use area models to compare fractions. Goal 6.Compare and order whole numbers up to 1,000,000; use manipulatives to order decimals through hundredths; use area models and benchmark fractions to compare and order fractions. Goal 6.Compare and order whole numbers up to 1,000,000,000 and decimals through thousandths; compare and order integers between -100 and 0; use area models, benchmark fractions, and analyses of numerators and denominators to compare and order fractions. Goal 6.Compare and order rational numbers; use area models, benchmark fractions, and analyses of numerators and denominators to compare and order fractions and mixed numbers; describe strategies used to compare fractions and mixed numbers. Goal 6.Choose and apply strategies for comparing and ordering rational numbers; explain those choices and strategies.

The table below shows what “Comparing and ordering numbers (Grade-Level Goal: Number and Numeration Goal 6) looks like in Grade 4. Orange shading indicates the concept is taught, and blue indicates the content is practiced and applied.

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### [Number and Numeration Goal 6]

Compare and order whole numbers up to 1,000,000,000 and decimals through thousandths; compare and order integers between -100 and 0; use area models, benchmark fractions, and analyses of numerators and denominators to compare and order fractions.

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