Lesson objective: Understand that picture graphs and bar graphs display the same data in different ways.

Students bring prior knowledge of data representation from 1.MD.C.4. This prior knowledge is extended to representing data with a bar graph as students find the similarities and differences between bar graphs and picture graphs. A conceptual challenge students may encounter is understanding how the same data can be represented in such visually different ways.

The concept is developed through work with a bar graph, which moves the student from a more concrete representation of data to a more abstract representation.

This work helps students deepen their understanding of equivalence because they have analyzed the two representations to identify the equivalent data.

Students engage in Mathematical Practice 4 (Model with mathematics) as they explore different ways data can be modeled (a data table, a picture graph, and a bar graph).

**Key vocabulary:**

- bar graph
- data
- different
- picture graph
- same

**Special materials needed: (**See Additional Materials for the following)

- Picture graph template
- Task Handout
- Exit Ticket