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8.F.A.2

The Alchemist

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Game Info for Teachers

COMBINED RATING

3.8 Stars

TEACHERS (16)

4.1

STUDENTS (1480)

3.6

LENGTH

14 Minutes

GRADES

6
7
8

CAPABILITIES

Text-to-Speech Support

Description

The functions store of the alchemist needs your help to produce all the gemstones requested by the demanding customers of this town! With your help and everything we are going to learn about functions, we may be able to make this store the best in town!

Vocabulary Words

function
input
output
coordinate pair
rate of change
function rule
equation
negative
positive
horizontal
vertical
ordered pair
negative relationship
positive relationship
steepness
slope
x value
y value
graph

Instructions

Play through this interactive game to learn about Compare Functions. Suitable for Grade 6, Grade 7, Grade 8.

Main Concepts

A coordinate pair is an exact location on a Cartesian Grid.
Numbers in a function table prior to rule being applied are called the Inputs.
When comparing functions, determine which function has a greater rate of change. (Use tables to compare, slopes with greater steepness, or equations).
Compare linear functions presented in multiple ways (one as a table, another as a graph or equation).
Connect the differences between the functions regardless of representation
The operation(s) that are applied to the input are called the Rule.
Numbers in a function table after the Rule is applied are called the Outputs.
Explain correspondences between equations, verbal descriptions, tables, and graphs.

Discussion Questions

Before the Game

How do you know which linear function is the steepest when given the rule? What does a linear function that has negative x values and positive y values look like? How can you describe data that is in graph form? How would you use a function to determine an output? How can you use an equation to make an input/output table? What is the difference between a positive and a negative slope?

After the Game

What did you learn about functions in the game? What are the different ways a function can be represented? The functions in the game were called "linear functions" - why do you think this is an appropriate name for these functions? How do you know which linear function is the steepest when given a table of values? What rule would you need to apply in order to have an input of 0 and a positive output? How can you tell just by looking at the graph if the line has a positive or negative rate of change?

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Ratings Breakdown

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Game Details

Difficulty

Content Integration

Lexile Level

705