Sample Pre-K–6 Grade-Level Goal
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 Strand: Number and Numeration | ||||||||
| Program Goal: Understand Common Numerical Relations | ||||||||
| Content (Thread) | Pre-K | K | 1st | 2nd | 3rd | 4th | 5th | 6th |
|---|---|---|---|---|---|---|---|---|
| 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. |
A Grade-Level Goal Revisited Within a Grade
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.
| Grade 4 | Unit | |||||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
[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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