Lesson Guide | Worksheets | Homework | |
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2.0 MB (updated 12/9/2012) | 45 KB (updated 12/9/2012) | 45 KB (updated 12/9/2012) | |

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**Objective**: By the end of the lesson, students will be able to apply principles of * order* and

*to (a) order positive and negative numbers on and off the number line, and (b) write mathematical expressions comparing numbers using < and >.*

**symmetry****Big Ideas:**

- We can use the number line as a tool to order and compare integers.
- We can use the order principle to create expressions that compare numbers using > and <.

**What Teachers Should Know**

**About the math. ** The number line is a useful resource for reasoning about relationships between integer values; in Figure A, for example, a student first placed three numbers on the line and then compared the values of the numbers with expressions like -5 < -4. Principles and definitions that support ordering and comparing integers on the number line include * order*,

*and*

**unit interval, multiunit interval,***. Notation for comparing integers includes > (greater than) and < (less than), and these symbols allow students to reflect on and communicate relationships between integer values.*

**symmetry****About student understanding.** When ordering negative integers, students may draw on their knowledge of positive integers and thus treat negatives as if they were positives, as illustrated in Figure B.

**About the pedagogy**. In this lesson, as illustrated in Figures A and B above, students use number line principles to place integers on open number lines, and then use their number line solutions as a resource for ordering and comparing integers. Students express comparisons with expressions that capture relationships of greater than and less than.