# Compare Functions Math Games

In this series of games, your students will learn to compare properties of two functions each represented in a different way.  The Compare Functions learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 8.F.A.2 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

Numbers in a function table prior to the rule being applied are called the inputs. The operations that are applied to the input are called the rule. A function is a rule applied to inputs that yield exactly one output. Numbers in a function table after the rule is applied are called the outputs. There is exactly one output for every input.

A coordinate pair is an exact location on a Cartesian Grid. A coordinate pair is expressed as an (x, y) coordinate in which the x value determines the location of a point along the x-axis or horizontal axis and the y value determines the location of the point along the y-axis or vertical axis.

The input and output relationship in a function table can be expressed as a graph on a coordinate plane where (input, output) is equivalent to (x, y) where the input is the x value and the corresponding output is the y value.

Explain correspondences between equations, verbal descriptions, tables, and graphs. When comparing functions, determine which function has a greater rate of change. Compare linear functions presented in multiple ways. Connect the differences between the functions regardless of representation.

A preview of each game in the learning objective is found below.

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