Lesson objective: Understand that a number's value is determined by its distance and direction from zero.

Students bring prior knowledge of decimal fractions on a number line from 4.NF.5 and 4.NF.7. This prior knowledge is extended to integers on a number line as students investigate what happens as the number line extends to the left of zero. A conceptual challenge students may encounter is that as numbers extend to the left of zero their value decreases.

The concept is developed through work with number line, which allows students to see an integers actual distance and direction from zero.

This work helps students deepen their understanding of numbers because students are reasoning with the idea of negative numbers for the first time.

Students engage in Mathematical Practice #4 (model with mathematics) as they use a number line to explore negative numbers.

**Key vocabulary:**

- integer

**Special materials needed:**

- none