Michael suggests organizing different toys by separating them into four groups: bears, cubes, triangles and diamonds.

Danielle describes how to organize a group of toys, first sorting them into two groups: bears and blocks. Then, when prompted, she subdivides the blocks group further into shapes and cubes.

Alice recognizes that attribute blocks have different shapes and then sorts them by shape. She stacks the shapes as she sorts. 

Danielle predicts that the category with the most toys is the bears category. She checks her prediction by counting the number of toys in each group, lining them up in rows. She says her prediction was correct. Even though she counted, she does not use numbers to explain, instead indicating the length of the row of bears with her hands and stating that there are more bears.

Having sorted triangles and squares, Holden makes a very literal graph on which he draws 4 triangles and 3 squares. He does not draw the shapes so they are the same size, so they are not as easily compared as they would otherwise be.

Michael creates a graph by placing the toys on top of a grid. This is not ideal because the toys are different sizes. The 13 bears end up being about the same height as the 9 cubes. Michael recognizes that they are about the same height and suggests writing numbers underneath the labels to clarify which category has the most.

Danielle draws dots to represent the number of objects in each group.

Having previously sorted cubes by color, Alice places stacks of connecting cubes along a vertical axis, modeling a bar graph, and uses it to answer questions about which color has the most and which has the least.

Lucy methodically colors a bar graph to show how many of each color of cube she previously sorted. Since the squares on the grid are larger than the connecting cubes, she explains that she will break the stacks apart and place one cube in each cell of the grid paper to ensure that she shades correctly. She is very expressive and metacognitive. Then, she reconnects the cubes and compares her cube stacks to her completed graph, which is an accurate representation.

Erica identifies the objects shown by a simple picture graph -- birds, cats, and dogs -- but then misinterprets the graph, believing it to show the heights of pets, not numbers of pets. The interviewer provides some guidance, prompting her to count the number of dogs and she does. This video clip is subtitled because Erica is quiet.

Michael figures out how to read a simple picture graph quickly. He determines how many animals are in each group using subitizing and interesting mental math strategies.