## Lesson: Comparing and Ordering Fractions, Mixed Numbers, and Decimals

Developing the Concept

Students should be able to move quickly from the concrete to the symbolic because they already have a good understanding of comparing and ordering whole numbers and comparing and ordering fractions and mixed numbers. Since decimals follow the rules for whole numbers, introduce the place-value chart. If you haven't already done so, spend some time helping students to see the benchmark decimals that match their benchmark fractions: 0, , and 1. (0.25) and (0.75) are also great benchmarks for decimals. Use a number line if necessary.

**Materials:** place-value charts (Learning Tool 36 in the *Learning Tools Folder),* a large copy of Learning Tool 26 (visible to all students)

**Preparation:** Make a sheet containing about a dozen place-value charts like the one shown below for each child, with plenty in reserve for students who need more practice.

hundreds | tens | ones | tenths | hundreths | |

**Wrap-Up and Assessment Hints**

After students have had plenty of time to practice mixed numbers, and decimals, ask them to write and illustrate an explanation for how they ordered this list from least to greatest.

1.45, 1, , 2

(The correct order is , 1.45, 1, 2.)