## Patterns, Functions, and Change

First-grade students explore situations with constant ratios in two contexts: building cube buildings with the same number of “rooms” on each “floor” and covering a certain number of one pattern block shape with another pattern block shape. In both of these contexts, students build and record how one variable changes in relation to the other.

For example: it takes two of the red trapezoids to cover one of the yellow hexagons, 4 trapezoids to cover 2 hexagons and so forth. They use what they are learning to determine quantities later in the series.

Benchmarks

• Explain what the numbers in a table represent in a constant ratio situation (involving

ratios of 1:2, 1:3, 1:4, 1:5, and 1:6)

• Complete and extend a table to match a situation involving a constant ratio

• Extend a repeating pattern and determine what element of the pattern will be in a

particular position (e.g., the 16th position) if the pattern keeps going

Benchmarks

• Explain what the numbers in a table represent in a constant ratio situation (involving

ratios of 1:2, 1:3, 1:4, 1:5, and 1:6)

• Complete and extend a table to match a situation involving a constant ratio

• Extend a repeating pattern and determine what element of the pattern will be in a

particular position (e.g., the 16th position) if the pattern keeps going